diff --git a/.github/workflows/bench-pr.yml b/.github/workflows/bench-pr.yml
index aac5578c..c5b77b1a 100644
--- a/.github/workflows/bench-pr.yml
+++ b/.github/workflows/bench-pr.yml
@@ -136,7 +136,7 @@ jobs:
           distribution: temurin
           java-version: 25 # kyoIntegration (KyoDiBench dep) targets JDK 25 since v0.15.0
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/.github/workflows/bench-sweep.yml b/.github/workflows/bench-sweep.yml
index 5b74994a..ef47b53f 100644
--- a/.github/workflows/bench-sweep.yml
+++ b/.github/workflows/bench-sweep.yml
@@ -127,7 +127,7 @@ jobs:
           distribution: temurin
           java-version: 25 # kyoIntegration (KyoDiBench dep) targets JDK 25 since v0.15.0
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/.github/workflows/benchmarks.yml b/.github/workflows/benchmarks.yml
index 419a8120..2ff77d9d 100644
--- a/.github/workflows/benchmarks.yml
+++ b/.github/workflows/benchmarks.yml
@@ -62,7 +62,7 @@ jobs:
           distribution: temurin
           java-version: 21
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 708d447b..1f47fdd0 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -52,7 +52,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-25
         if: matrix.java == 'temurin@25'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -76,7 +76,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-17
         if: matrix.java == 'temurin@17'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -100,7 +100,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-21
         if: matrix.java == 'temurin@21'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -177,7 +177,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-25
         if: matrix.java == 'temurin@25'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -201,7 +201,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-17
         if: matrix.java == 'temurin@17'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -225,7 +225,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-21
         if: matrix.java == 'temurin@21'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -299,7 +299,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-25
         if: matrix.java == 'temurin@25'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -323,7 +323,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-17
         if: matrix.java == 'temurin@17'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -347,7 +347,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-21
         if: matrix.java == 'temurin@21'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -393,7 +393,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-25
         if: matrix.java == 'temurin@25'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -417,7 +417,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-17
         if: matrix.java == 'temurin@17'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -441,7 +441,7 @@ jobs:
       - name: Cache coursier + ivy + sbt boot
         id: coursier-cache-temurin-21
         if: matrix.java == 'temurin@21'
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/.github/workflows/deploy-site.yml b/.github/workflows/deploy-site.yml
index d6852b8e..2d94a58b 100644
--- a/.github/workflows/deploy-site.yml
+++ b/.github/workflows/deploy-site.yml
@@ -70,7 +70,7 @@ jobs:
           distribution: temurin
           java-version: 25
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/.github/workflows/quality.yml b/.github/workflows/quality.yml
index 780bafa5..7582cbdc 100644
--- a/.github/workflows/quality.yml
+++ b/.github/workflows/quality.yml
@@ -61,7 +61,7 @@ jobs:
           distribution: temurin
           java-version: 25
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
@@ -97,7 +97,7 @@ jobs:
           distribution: temurin
           java-version: 25
       - name: Cache coursier + ivy + sbt boot
-        uses: actions/cache@v4
+        uses: actions/cache@v6
         with:
           path: |
             ~/.cache/coursier
diff --git a/BENCHMARKS.md b/BENCHMARKS.md
index 099fe8b1..573e21f7 100644
--- a/BENCHMARKS.md
+++ b/BENCHMARKS.md
@@ -8,578 +8,578 @@
 > directional** and not comparable across runs/VMs. The usual JMH
 > disclaimer applies: "the numbers below are just data".
 
-<sub>source_sha: `6e53b8574a3ff5c233303325e94c5d910496ad4b` · date: `2026-10-02` · jdk: `temurin-21` · runner: `ubuntu-22.04` · jmh_params: `-i 5 -wi 3 -f 3 -t 1 -foe true -prof gc -rf json -jvmArgsAppend -XX:-ResizeTLAB -jvmArgsAppend -Xms1g -jvmArgsAppend -Xmx1g` · profile: `sweep:-i5-wi3-f3-t1-gc-rt1g`</sub>
+<sub>source_sha: `462e037b7df74c393ecb5ad4a2d0b8b7d2b4bf96` · date: `2026-10-03` · jdk: `temurin-21` · runner: `ubuntu-22.04` · jmh_params: `-i 5 -wi 3 -f 3 -t 1 -foe true -prof gc -rf json -jvmArgsAppend -XX:-ResizeTLAB -jvmArgsAppend -Xms1g -jvmArgsAppend -Xmx1g` · profile: `sweep:-i5-wi3-f3-t1-gc-rt1g`</sub>
 
 
 ## AffineFoldBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `GetOption_0` | `-` | 0.7 ± 0.0 | 0.6 ± 0.0 | 0.0 | 0.0 |
-| `GetOption_0_asAffineFold` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `GetOption_0_asOptional` | `-` | 1.8 ± 0.1 | — | 16.0 | — |
-| `GetOption_0_empty` | `-` | 0.7 ± 0.0 | 0.6 ± 0.0 | 0.0 | 0.0 |
-| `GetOption_3` | `-` | 9.0 ± 0.2 | 5.5 ± 0.1 | 16.0 | 0.0 |
-| `GetOption_6` | `-` | 16.2 ± 0.3 | 14.0 ± 0.4 | 16.0 | 0.0 |
-| `GetOption_loyalty` | `-` | 0.7 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
-| `GetOption_loyalty_empty` | `-` | 0.7 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
+| `GetOption_0` | `-` | 0.8 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
+| `GetOption_0_asAffineFold` | `-` | 0.7 ± 0.1 | — | 0.0 | — |
+| `GetOption_0_asOptional` | `-` | 2.5 ± 0.0 | — | 16.0 | — |
+| `GetOption_0_empty` | `-` | 0.8 ± 0.1 | 0.7 ± 0.0 | 0.0 | 0.0 |
+| `GetOption_3` | `-` | 9.2 ± 0.1 | 6.2 ± 0.1 | 16.0 | 0.0 |
+| `GetOption_6` | `-` | 18.7 ± 0.1 | 16.3 ± 0.4 | 16.0 | 0.0 |
+| `GetOption_loyalty` | `-` | 0.8 ± 0.0 | 0.8 ± 0.0 | 0.0 | 0.0 |
+| `GetOption_loyalty_empty` | `-` | 0.8 ± 0.0 | 0.8 ± 0.0 | 0.0 | 0.0 |
 
 ## AvroBytesBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `GraftPayload` | `-` | 94.3 ± 2.7 | — | 720.0 | — |
-| `ModifyCountry` | `-` | 211.8 ± 7.3 | — | 933.3 | — |
-| `ModifyPartner` | `-` | 274.9 ± 10.9 | — | 984.0 | — |
-| `ReadCountry` | `-` | 120.0 ± 5.1 | — | 520.0 | — |
-| `ReadPartner` | `-` | 131.3 ± 6.1 | — | 480.0 | — |
-| `SliceGraftPayload` | `-` | 186.7 ± 6.8 | — | 1,192.0 | — |
-| `naiveModifyCountry` | `-` | 1,909.2 ± 66.8 | — | 7,616.0 | — |
-| `naiveModifyPartner` | `-` | 2,192.8 ± 70.4 | — | 8,696.0 | — |
-| `naivePassthroughPayload` | `-` | 3,558.6 ± 87.5 | — | 14,088.1 | — |
-| `naiveReadCountry` | `-` | 1,162.1 ± 57.9 | — | 4,256.0 | — |
-| `naiveReadPartner` | `-` | 1,434.4 ± 63.1 | — | 5,424.0 | — |
-| `prunedReadCountry` | `-` | 709.6 ± 8.6 | — | 1,976.0 | — |
-| `prunedReadPartner` | `-` | 473.4 ± 17.1 | — | 1,592.0 | — |
+| `GraftPayload` | `-` | 110.1 ± 0.2 | — | 720.0 | — |
+| `ModifyCountry` | `-` | 236.9 ± 4.9 | — | 928.0 | — |
+| `ModifyPartner` | `-` | 278.2 ± 1.3 | — | 984.0 | — |
+| `ReadCountry` | `-` | 133.6 ± 2.6 | — | 520.0 | — |
+| `ReadPartner` | `-` | 144.9 ± 1.6 | — | 480.0 | — |
+| `SliceGraftPayload` | `-` | 211.9 ± 2.2 | — | 1,192.0 | — |
+| `naiveModifyCountry` | `-` | 2,131.4 ± 20.6 | — | 7,616.0 | — |
+| `naiveModifyPartner` | `-` | 2,513.9 ± 49.1 | — | 8,696.0 | — |
+| `naivePassthroughPayload` | `-` | 4,091.2 ± 30.9 | — | 14,088.1 | — |
+| `naiveReadCountry` | `-` | 1,278.6 ± 11.6 | — | 4,256.0 | — |
+| `naiveReadPartner` | `-` | 1,638.3 ± 45.1 | — | 5,424.0 | — |
+| `prunedReadCountry` | `-` | 772.3 ± 12.6 | — | 1,976.0 | — |
+| `prunedReadPartner` | `-` | 538.2 ± 5.4 | — | 1,592.0 | — |
 
 ## AvroDecodeReuseBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `cachedDecodeRecord` | `-` | 246.2 ± 10.7 | — | 1,224.0 | — |
-| `confluentRecordReader` | `-` | 266.5 ± 4.1 | — | 1,560.0 | — |
-| `confluentRecordReaderFresh` | `-` | 1,126.0 ± 18.6 | — | 3,696.0 | — |
-| `freshDecodeRecord` | `-` | 1,068.7 ± 27.8 | — | 3,344.0 | — |
+| `cachedDecodeRecord` | `-` | 274.0 ± 1.4 | — | 1,224.0 | — |
+| `confluentRecordReader` | `-` | 312.0 ± 5.6 | — | 1,541.3 | — |
+| `confluentRecordReaderFresh` | `-` | 1,161.3 ± 21.7 | — | 3,696.0 | — |
+| `freshDecodeRecord` | `-` | 1,090.7 ± 11.9 | — | 3,344.0 | — |
 
 ## AvroEncodeRouteBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `eo_encodeToAny` | `-` | 37.6 ± 1.3 | — | 312.0 | — |
-| `eo_encodeValue` | `-` | 417.9 ± 49.4 | — | 568.0 | — |
-| `handwritten_stream` | `-` | 124.0 ± 5.5 | — | 240.0 | — |
-| `naive_freshPlumbing` | `-` | 684.9 ± 19.4 | — | 2,624.0 | — |
+| `eo_encodeToAny` | `-` | 48.4 ± 0.5 | — | 312.0 | — |
+| `eo_encodeValue` | `-` | 448.6 ± 11.6 | — | 568.0 | — |
+| `handwritten_stream` | `-` | 143.6 ± 6.8 | — | 240.0 | — |
+| `naive_freshPlumbing` | `-` | 704.5 ± 7.2 | — | 2,624.0 | — |
 
 ## AvroJsonBridgeBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `ClickToAvro` | `-` | 2,136.0 ± 83.8 | — | 4,664.0 | — |
-| `ClickToJson` | `-` | 1,902.3 ± 45.0 | — | 3,984.0 | — |
-| `WideToAvro` | `-` | 526.7 ± 9.5 | — | 2,040.0 | — |
-| `WideToJson` | `-` | 399.6 ± 18.3 | — | 1,472.0 | — |
-| `naiveClickToAvro` | `-` | 1,105.5 ± 40.2 | — | 3,928.0 | — |
-| `naiveClickToJson` | `-` | 2,104.7 ± 83.7 | — | 5,856.0 | — |
-| `naiveWideToAvro` | `-` | 868.3 ± 25.0 | — | 3,504.0 | — |
-| `naiveWideToJson` | `-` | 1,376.6 ± 21.9 | — | 4,376.0 | — |
+| `ClickToAvro` | `-` | 2,276.8 ± 14.4 | — | 4,674.7 | — |
+| `ClickToJson` | `-` | 2,138.1 ± 28.8 | — | 3,962.7 | — |
+| `WideToAvro` | `-` | 650.7 ± 7.4 | — | 2,024.0 | — |
+| `WideToJson` | `-` | 472.3 ± 13.0 | — | 1,472.0 | — |
+| `naiveClickToAvro` | `-` | 1,314.4 ± 20.9 | — | 3,928.0 | — |
+| `naiveClickToJson` | `-` | 2,322.9 ± 27.8 | — | 5,856.0 | — |
+| `naiveWideToAvro` | `-` | 963.2 ± 10.1 | — | 3,504.0 | — |
+| `naiveWideToJson` | `-` | 1,427.4 ± 10.5 | — | 4,376.0 | — |
 
 ## AvroVulcanBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `decode_bridged` | `-` | 127.5 ± 2.2 | — | 832.0 | — |
-| `decode_native` | `-` | 14.8 ± 0.3 | — | 48.0 | — |
-| `decode_vulcanRaw` | `-` | 124.9 ± 1.9 | — | 832.0 | — |
-| `encode_bridged` | `-` | 155.5 ± 4.3 | — | 1,234.7 | — |
-| `encode_native` | `-` | 11.1 ± 0.8 | — | 56.0 | — |
-| `encode_vulcanRaw` | `-` | 151.2 ± 6.5 | — | 1,229.3 | — |
-| `fieldGet_bridged` | `-` | 68.8 ± 1.0 | — | 432.0 | — |
-| `fieldGet_native` | `-` | 72.0 ± 5.1 | — | 432.0 | — |
-| `rootGet_bridged` | `-` | 237.9 ± 7.0 | — | 1,424.0 | — |
-| `rootGet_native` | `-` | 112.3 ± 2.8 | — | 600.0 | — |
+| `decode_bridged` | `-` | 141.5 ± 0.8 | — | 832.0 | — |
+| `decode_native` | `-` | 11.3 ± 0.0 | — | 48.0 | — |
+| `decode_vulcanRaw` | `-` | 139.2 ± 0.5 | — | 832.0 | — |
+| `encode_bridged` | `-` | 182.2 ± 1.2 | — | 1,224.0 | — |
+| `encode_native` | `-` | 10.0 ± 0.3 | — | 56.0 | — |
+| `encode_vulcanRaw` | `-` | 183.1 ± 2.2 | — | 1,224.0 | — |
+| `fieldGet_bridged` | `-` | 77.1 ± 1.8 | — | 432.0 | — |
+| `fieldGet_native` | `-` | 78.0 ± 2.1 | — | 432.0 | — |
+| `rootGet_bridged` | `-` | 274.3 ± 5.7 | — | 1,424.0 | — |
+| `rootGet_native` | `-` | 119.8 ± 1.9 | — | 600.0 | — |
 
 ## CapsBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `foldMapCap` | `-` | 13.6 ± 0.3 | — | 0.0 | — |
-| `foldMapDerivedHeld` | `-` | 14.9 ± 0.5 | — | 0.0 | — |
-| `foldMapDerivedPerCall` | `-` | 14.0 ± 0.6 | — | 0.0 | — |
-| `foldMapDirect` | `-` | 13.6 ± 0.4 | — | 0.0 | — |
-| `getCap` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `getDeepCap` | `-` | 1.0 ± 0.0 | — | 0.0 | — |
-| `getDeepDirect` | `-` | 0.9 ± 0.0 | — | 0.0 | — |
-| `getDerivedHeld` | `-` | 1.5 ± 0.1 | — | 0.0 | — |
-| `getDerivedPerCall` | `-` | 1.0 ± 0.0 | — | 0.0 | — |
-| `getDirect` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `modifyCap` | `-` | 3.2 ± 0.1 | — | 40.0 | — |
-| `modifyDeepCap` | `-` | 19.8 ± 0.3 | — | 176.0 | — |
-| `modifyDeepDirect` | `-` | 21.1 ± 0.7 | — | 152.0 | — |
-| `modifyDerivedHeld` | `-` | 3.6 ± 0.1 | — | 40.0 | — |
-| `modifyDerivedPerCall` | `-` | 3.5 ± 0.2 | — | 40.0 | — |
-| `modifyDirect` | `-` | 3.2 ± 0.1 | — | 40.0 | — |
+| `foldMapCap` | `-` | 16.6 ± 0.1 | — | 0.0 | — |
+| `foldMapDerivedHeld` | `-` | 17.7 ± 0.0 | — | 0.0 | — |
+| `foldMapDerivedPerCall` | `-` | 16.7 ± 0.1 | — | 0.0 | — |
+| `foldMapDirect` | `-` | 16.5 ± 0.2 | — | 0.0 | — |
+| `getCap` | `-` | 0.9 ± 0.0 | — | 0.0 | — |
+| `getDeepCap` | `-` | 1.1 ± 0.0 | — | 0.0 | — |
+| `getDeepDirect` | `-` | 1.0 ± 0.0 | — | 0.0 | — |
+| `getDerivedHeld` | `-` | 1.6 ± 0.0 | — | 0.0 | — |
+| `getDerivedPerCall` | `-` | 1.1 ± 0.0 | — | 0.0 | — |
+| `getDirect` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
+| `modifyCap` | `-` | 5.6 ± 0.0 | — | 40.0 | — |
+| `modifyDeepCap` | `-` | 27.7 ± 0.5 | — | 176.0 | — |
+| `modifyDeepDirect` | `-` | 26.1 ± 0.1 | — | 152.0 | — |
+| `modifyDerivedHeld` | `-` | 5.7 ± 0.0 | — | 40.0 | — |
+| `modifyDerivedPerCall` | `-` | 5.6 ± 0.0 | — | 40.0 | — |
+| `modifyDirect` | `-` | 5.6 ± 0.1 | — | 40.0 | — |
 
 ## ClickRecordBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `encode_derived` | `-` | 337.2 ± 9.5 | — | 744.0 | — |
-| `encode_derivedThroughPrism` | `-` | 336.9 ± 7.3 | — | 744.0 | — |
-| `encode_hand` | `-` | 114.1 ± 1.7 | — | 768.0 | — |
-| `encode_positional` | `-` | 4,183.8 ± 157.0 | — | 23,912.0 | — |
-| `encode_vulcanFull` | `-` | 4,693.5 ± 105.1 | — | 28,408.0 | — |
+| `encode_derived` | `-` | 379.8 ± 9.7 | — | 744.0 | — |
+| `encode_derivedThroughPrism` | `-` | 392.3 ± 2.8 | — | 744.0 | — |
+| `encode_hand` | `-` | 113.6 ± 0.7 | — | 768.0 | — |
+| `encode_positional` | `-` | 4,302.6 ± 54.9 | — | 23,912.0 | — |
+| `encode_vulcanFull` | `-` | 5,153.7 ± 101.9 | — | 28,408.0 | — |
 
 ## CompositionBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `buildLens1` | `-` | 5.8 ± 0.1 | — | 72.0 | — |
-| `buildLens3` | `-` | 16.9 ± 0.5 | — | 184.0 | — |
-| `buildLens6` | `-` | 35.1 ± 4.4 | — | 352.0 | — |
-| `buildLensOptional3` | `-` | 16.6 ± 0.3 | — | 184.0 | — |
-| `reuseLeaf` | `-` | 2.4 ± 0.2 | — | 24.0 | — |
-| `reuseLens1` | `-` | 16.0 ± 0.5 | — | 40.0 | — |
-| `reuseLens3` | `-` | 33.6 ± 0.6 | — | 72.0 | — |
-| `reuseLens6` | `-` | 73.6 ± 3.0 | — | 120.0 | — |
-| `reuseLensOptional3` | `-` | 35.5 ± 1.4 | — | 160.0 | — |
+| `buildLens1` | `-` | 10.2 ± 0.2 | — | 72.0 | — |
+| `buildLens3` | `-` | 27.0 ± 0.1 | — | 184.0 | — |
+| `buildLens6` | `-` | 51.9 ± 0.5 | — | 352.0 | — |
+| `buildLensOptional3` | `-` | 27.0 ± 0.2 | — | 184.0 | — |
+| `reuseLeaf` | `-` | 3.5 ± 0.1 | — | 24.0 | — |
+| `reuseLens1` | `-` | 10.3 ± 0.2 | — | 40.0 | — |
+| `reuseLens3` | `-` | 28.3 ± 0.3 | — | 72.0 | — |
+| `reuseLens6` | `-` | 77.5 ± 0.6 | — | 120.0 | — |
+| `reuseLensOptional3` | `-` | 38.8 ± 0.2 | — | 160.0 | — |
 
 ## FoldBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `FoldMap` | `size=512` | 1,329.2 ± 20.9 | 1,344.8 ± 29.8 | 7,936.2 | 7,936.2 |
-| `FoldMap` | `size=64` | 157.2 ± 3.5 | 157.5 ± 4.5 | 768.0 | 768.0 |
-| `FoldMap` | `size=8` | 13.5 ± 0.3 | 14.0 ± 0.8 | 0.0 | 0.0 |
-| `FoldPrices` | `size=512` | 2,044.4 ± 80.1 | 2,064.3 ± 103.8 | 12,312.3 | 12,312.3 |
-| `FoldPrices` | `size=64` | 148.7 ± 3.6 | 151.7 ± 5.0 | 1,560.0 | 1,560.0 |
-| `FoldPrices` | `size=8` | 19.3 ± 0.5 | 19.2 ± 0.4 | 216.0 | 216.0 |
+| `FoldMap` | `size=512` | 1,303.8 ± 12.0 | 1,288.9 ± 10.5 | 7,936.2 | 7,936.2 |
+| `FoldMap` | `size=64` | 138.2 ± 3.5 | 134.8 ± 1.7 | 768.0 | 768.0 |
+| `FoldMap` | `size=8` | 16.6 ± 0.1 | 16.3 ± 0.1 | 0.0 | 0.0 |
+| `FoldPrices` | `size=512` | 2,278.8 ± 27.0 | 2,276.3 ± 23.8 | 12,312.4 | 12,312.4 |
+| `FoldPrices` | `size=64` | 219.7 ± 2.5 | 217.5 ± 2.0 | 1,560.0 | 1,560.0 |
+| `FoldPrices` | `size=8` | 29.9 ± 0.1 | 29.7 ± 0.5 | 216.0 | 216.0 |
 
 ## GenericsBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `genLensGet` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `genLensModify` | `-` | 3.5 ± 0.1 | — | 24.0 | — |
-| `genPrismGetHit` | `-` | 1.8 ± 0.1 | — | 16.0 | — |
-| `genPrismGetMiss` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `genPrismModifyHit` | `-` | 2.5 ± 0.1 | — | 24.0 | — |
-| `genPrismModifyMiss` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
-| `handLensGet` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `handLensModify` | `-` | 2.0 ± 0.1 | — | 24.0 | — |
-| `handPrismGetHit` | `-` | 1.5 ± 0.1 | — | 16.0 | — |
-| `handPrismGetMiss` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `handPrismModifyHit` | `-` | 2.1 ± 0.1 | — | 24.0 | — |
-| `handPrismModifyMiss` | `-` | 0.7 ± 0.0 | — | 0.0 | — |
-| `rawLensGet` | `-` | 0.4 ± 0.0 | — | 0.0 | — |
-| `rawLensModify` | `-` | 2.1 ± 0.1 | — | 24.0 | — |
-| `rawPrismGetHit` | `-` | 1.4 ± 0.0 | — | 16.0 | — |
-| `rawPrismModifyHit` | `-` | 2.1 ± 0.1 | — | 24.0 | — |
+| `genLensGet` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
+| `genLensModify` | `-` | 3.7 ± 0.0 | — | 24.0 | — |
+| `genPrismGetHit` | `-` | 2.4 ± 0.0 | — | 16.0 | — |
+| `genPrismGetMiss` | `-` | 0.9 ± 0.0 | — | 0.0 | — |
+| `genPrismModifyHit` | `-` | 3.4 ± 0.0 | — | 24.0 | — |
+| `genPrismModifyMiss` | `-` | 0.9 ± 0.0 | — | 0.0 | — |
+| `handLensGet` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
+| `handLensModify` | `-` | 3.5 ± 0.0 | — | 24.0 | — |
+| `handPrismGetHit` | `-` | 2.3 ± 0.0 | — | 16.0 | — |
+| `handPrismGetMiss` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
+| `handPrismModifyHit` | `-` | 3.3 ± 0.0 | — | 24.0 | — |
+| `handPrismModifyMiss` | `-` | 0.8 ± 0.0 | — | 0.0 | — |
+| `rawLensGet` | `-` | 0.6 ± 0.0 | — | 0.0 | — |
+| `rawLensModify` | `-` | 3.4 ± 0.0 | — | 24.0 | — |
+| `rawPrismGetHit` | `-` | 2.5 ± 0.0 | — | 16.0 | — |
+| `rawPrismModifyHit` | `-` | 3.3 ± 0.0 | — | 24.0 | — |
 
 ## GetterBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Get_0` | `-` | 0.6 ± 0.0 | 0.3 ± 0.0 | 0.0 | 0.0 |
-| `Get_3` | `-` | 8.9 ± 0.3 | 4.7 ± 0.5 | 0.0 | 0.0 |
-| `Get_6` | `-` | 17.2 ± 0.5 | 14.5 ± 0.5 | 0.0 | 0.0 |
-| `Get_orderId` | `-` | 0.6 ± 0.0 | 0.3 ± 0.0 | 0.0 | 0.0 |
+| `Get_0` | `-` | 0.7 ± 0.0 | 0.4 ± 0.0 | 0.0 | 0.0 |
+| `Get_3` | `-` | 10.2 ± 0.1 | 5.3 ± 0.3 | 0.0 | 0.0 |
+| `Get_6` | `-` | 19.6 ± 0.1 | 16.7 ± 0.2 | 0.0 | 0.0 |
+| `Get_orderId` | `-` | 0.7 ± 0.0 | 0.4 ± 0.0 | 0.0 | 0.0 |
 
 ## IsoBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Get` | `-` | 2.6 ± 0.1 | 2.7 ± 0.1 | 32.0 | 32.0 |
-| `ReverseGet` | `-` | 2.7 ± 0.1 | 2.5 ± 0.1 | 32.0 | 32.0 |
+| `Get` | `-` | 4.5 ± 0.0 | 4.6 ± 0.1 | 32.0 | 32.0 |
+| `ReverseGet` | `-` | 4.4 ± 0.0 | 4.5 ± 0.0 | 32.0 | 32.0 |
 
 ## JsoniterBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `cModifyId` | `size=512` | 275,758.8 ± 4,909.1 | — | 1,066,670.4 | — |
-| `cModifyId` | `size=64` | 32,031.5 ± 810.6 | — | 136,254.2 | — |
-| `cModifyId` | `size=8` | 5,355.2 ± 186.2 | — | 20,696.1 | — |
-| `cReadId` | `size=512` | 133,028.9 ± 6,973.6 | — | 797,909.8 | — |
-| `cReadId` | `size=64` | 16,142.0 ± 480.5 | — | 101,288.5 | — |
-| `cReadId` | `size=8` | 2,627.9 ± 64.8 | — | 15,568.0 | — |
-| `cReadStreet` | `size=512` | 128,720.7 ± 3,048.3 | — | 797,908.6 | — |
-| `cReadStreet` | `size=64` | 16,178.4 ± 436.8 | — | 101,288.5 | — |
-| `cReadStreet` | `size=8` | 2,652.5 ± 81.8 | — | 15,568.0 | — |
-| `cReplaceId` | `size=512` | 281,168.3 ± 9,007.4 | — | 1,066,624.0 | — |
-| `cReplaceId` | `size=64` | 33,580.6 ± 1,704.8 | — | 136,206.6 | — |
-| `cReplaceId` | `size=8` | 5,422.2 ± 162.0 | — | 20,656.1 | — |
-| `cSumPrices` | `size=512` | 242,440.5 ± 8,774.3 | — | 1,240,708.9 | — |
-| `cSumPrices` | `size=64` | 27,660.6 ± 794.5 | — | 157,582.0 | — |
-| `cSumPrices` | `size=8` | 4,343.6 ± 73.0 | — | 22,720.0 | — |
-| `jMiss` | `size=512` | 132.1 ± 5.7 | — | 0.0 | — |
-| `jMiss` | `size=64` | 130.8 ± 4.7 | — | 0.0 | — |
-| `jMiss` | `size=8` | 129.7 ± 4.4 | — | 0.0 | — |
-| `jModifyId` | `size=512` | 5,380.8 ± 104.3 | — | 41,921.5 | — |
-| `jModifyId` | `size=64` | 676.2 ± 6.3 | — | 5,328.0 | — |
-| `jModifyId` | `size=8` | 147.5 ± 5.0 | — | 992.0 | — |
-| `jReadId` | `size=512` | 30.0 ± 4.9 | — | 48.0 | — |
-| `jReadId` | `size=64` | 32.9 ± 6.9 | — | 56.0 | — |
-| `jReadId` | `size=8` | 30.5 ± 5.6 | — | 48.0 | — |
-| `jReadStreet` | `size=512` | 133.0 ± 7.8 | — | 144.0 | — |
-| `jReadStreet` | `size=64` | 126.5 ± 3.0 | — | 144.0 | — |
-| `jReadStreet` | `size=8` | 130.8 ± 5.1 | — | 136.0 | — |
-| `jReplaceId` | `size=512` | 5,291.3 ± 63.6 | — | 41,889.5 | — |
-| `jReplaceId` | `size=64` | 670.5 ± 12.1 | — | 5,296.0 | — |
-| `jReplaceId` | `size=8` | 146.8 ± 2.9 | — | 960.0 | — |
-| `jSumPrices` | `size=512` | 58,899.7 ± 1,778.0 | — | 63,676.6 | — |
-| `jSumPrices` | `size=64` | 7,499.5 ± 211.4 | — | 8,120.2 | — |
-| `jSumPrices` | `size=8` | 979.0 ± 23.0 | — | 1,176.0 | — |
+| `cModifyId` | `size=512` | 281,082.8 ± 2,777.1 | — | 1,066,680.0 | — |
+| `cModifyId` | `size=64` | 35,897.2 ± 250.9 | — | 136,264.5 | — |
+| `cModifyId` | `size=8` | 6,220.7 ± 125.7 | — | 20,704.1 | — |
+| `cReadId` | `size=512` | 148,919.7 ± 1,886.6 | — | 797,914.4 | — |
+| `cReadId` | `size=64` | 18,725.8 ± 155.7 | — | 101,288.5 | — |
+| `cReadId` | `size=8` | 2,912.1 ± 13.9 | — | 15,568.0 | — |
+| `cReadStreet` | `size=512` | 149,872.7 ± 2,125.4 | — | 797,914.6 | — |
+| `cReadStreet` | `size=64` | 18,757.4 ± 165.8 | — | 101,288.5 | — |
+| `cReadStreet` | `size=8` | 2,963.1 ± 50.7 | — | 15,568.0 | — |
+| `cReplaceId` | `size=512` | 281,300.1 ± 3,052.2 | — | 1,066,616.0 | — |
+| `cReplaceId` | `size=64` | 36,251.0 ± 716.8 | — | 136,216.6 | — |
+| `cReplaceId` | `size=8` | 6,053.6 ± 27.4 | — | 20,656.1 | — |
+| `cSumPrices` | `size=512` | 243,908.2 ± 2,294.7 | — | 1,240,709.4 | — |
+| `cSumPrices` | `size=64` | 30,276.8 ± 111.4 | — | 157,486.9 | — |
+| `cSumPrices` | `size=8` | 4,616.8 ± 34.5 | — | 22,720.0 | — |
+| `jMiss` | `size=512` | 143.2 ± 3.0 | — | 0.0 | — |
+| `jMiss` | `size=64` | 142.7 ± 2.6 | — | 0.0 | — |
+| `jMiss` | `size=8` | 144.9 ± 1.1 | — | 0.0 | — |
+| `jModifyId` | `size=512` | 5,342.7 ± 120.9 | — | 41,921.5 | — |
+| `jModifyId` | `size=64` | 669.0 ± 14.3 | — | 5,336.0 | — |
+| `jModifyId` | `size=8` | 146.1 ± 2.3 | — | 992.0 | — |
+| `jReadId` | `size=512` | 32.7 ± 4.3 | — | 64.0 | — |
+| `jReadId` | `size=64` | 30.5 ± 5.5 | — | 48.0 | — |
+| `jReadId` | `size=8` | 32.9 ± 4.3 | — | 64.0 | — |
+| `jReadStreet` | `size=512` | 145.7 ± 1.2 | — | 136.0 | — |
+| `jReadStreet` | `size=64` | 147.5 ± 1.8 | — | 128.0 | — |
+| `jReadStreet` | `size=8` | 148.1 ± 1.4 | — | 136.0 | — |
+| `jReplaceId` | `size=512` | 5,295.2 ± 74.1 | — | 41,889.5 | — |
+| `jReplaceId` | `size=64` | 650.6 ± 10.3 | — | 5,304.0 | — |
+| `jReplaceId` | `size=8` | 143.8 ± 0.9 | — | 960.0 | — |
+| `jSumPrices` | `size=512` | 67,706.8 ± 571.7 | — | 63,671.3 | — |
+| `jSumPrices` | `size=64` | 8,504.5 ± 106.3 | — | 8,120.2 | — |
+| `jSumPrices` | `size=8` | 1,132.3 ± 15.7 | — | 1,176.0 | — |
 
 ## KyoDiBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `EnvFocus` | `-` | 73.3 ± 2.3 | — | 320.0 | — |
-| `MapDrillModify` | `-` | 25.5 ± 0.7 | — | 216.0 | — |
-| `MapGet` | `-` | 1.6 ± 0.0 | — | 0.0 | — |
-| `VarUpdateFocus` | `-` | 61.3 ± 1.6 | — | 216.0 | — |
-| `handEnvUse` | `-` | 71.1 ± 1.3 | — | 312.0 | — |
-| `handMapDrillModify` | `-` | 23.2 ± 0.9 | — | 216.0 | — |
-| `handMapGet` | `-` | 1.2 ± 0.0 | — | 0.0 | — |
-| `handVarUpdate` | `-` | 55.9 ± 1.6 | — | 200.0 | — |
+| `EnvFocus` | `-` | 83.8 ± 1.0 | — | 320.0 | — |
+| `MapDrillModify` | `-` | 34.4 ± 0.4 | — | 216.0 | — |
+| `MapGet` | `-` | 1.8 ± 0.0 | — | 0.0 | — |
+| `VarUpdateFocus` | `-` | 66.4 ± 2.9 | — | 216.0 | — |
+| `handEnvUse` | `-` | 82.5 ± 1.2 | — | 312.0 | — |
+| `handMapDrillModify` | `-` | 33.0 ± 0.2 | — | 216.0 | — |
+| `handMapGet` | `-` | 1.4 ± 0.0 | — | 0.0 | — |
+| `handVarUpdate` | `-` | 65.0 ± 3.0 | — | 200.0 | — |
 
 ## LensBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Get` | `-` | 0.7 ± 0.0 | 0.8 ± 0.0 | 0.0 | 0.0 |
-| `Modify` | `-` | 3.5 ± 0.1 | 3.2 ± 0.1 | 40.0 | 40.0 |
-| `ModifyDeep` | `-` | 21.4 ± 0.5 | 19.7 ± 0.9 | 152.0 | 176.0 |
-| `Replace` | `-` | 3.2 ± 0.1 | 3.2 ± 0.1 | 40.0 | 40.0 |
+| `Get` | `-` | 0.8 ± 0.0 | 0.9 ± 0.0 | 0.0 | 0.0 |
+| `Modify` | `-` | 5.6 ± 0.1 | 5.6 ± 0.1 | 40.0 | 40.0 |
+| `ModifyDeep` | `-` | 26.1 ± 0.1 | 26.9 ± 0.1 | 152.0 | 176.0 |
+| `Replace` | `-` | 5.5 ± 0.1 | 5.4 ± 0.0 | 40.0 | 40.0 |
 
 ## MultiFocusBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Fold_powerEach` | `size=1024` | 13,486.6 ± 639.8 | — | 43,035.5 | — |
-| `Fold_powerEach` | `size=256` | 2,473.3 ± 34.2 | — | 9,240.2 | — |
-| `Fold_powerEach` | `size=32` | 290.2 ± 34.5 | — | 920.0 | — |
-| `Fold_powerEach` | `size=4` | 48.6 ± 0.5 | — | 328.0 | — |
-| `Modify_multiFocus` | `size=1024` | 51,824.7 ± 1,257.8 | — | 331,137.5 | — |
-| `Modify_multiFocus` | `size=256` | 11,249.4 ± 198.5 | — | 76,112.8 | — |
-| `Modify_multiFocus` | `size=32` | 1,516.7 ± 15.5 | — | 8,600.0 | — |
-| `Modify_multiFocus` | `size=4` | 155.4 ± 4.8 | — | 1,320.0 | — |
-| `Modify_powerEach` | `size=1024` | 26,492.5 ± 2,139.8 | — | 115,174.9 | — |
-| `Modify_powerEach` | `size=256` | 6,149.4 ± 94.7 | — | 26,080.4 | — |
-| `Modify_powerEach` | `size=32` | 798.4 ± 25.8 | — | 3,152.0 | — |
-| `Modify_powerEach` | `size=4` | 118.0 ± 1.9 | — | 800.0 | — |
-| `naive_listMap` | `size=1024` | 8,404.5 ± 652.0 | — | 65,578.2 | — |
-| `naive_listMap` | `size=256` | 1,876.1 ± 40.1 | — | 16,424.1 | — |
-| `naive_listMap` | `size=32` | 243.9 ± 11.4 | — | 2,088.0 | — |
-| `naive_listMap` | `size=4` | 29.3 ± 0.4 | — | 296.0 | — |
-| `naive_sumQty` | `size=1024` | 3,994.2 ± 178.3 | — | 16,129.0 | — |
-| `naive_sumQty` | `size=256` | 613.0 ± 10.2 | — | 3,840.0 | — |
-| `naive_sumQty` | `size=32` | 52.4 ± 0.8 | — | 256.0 | — |
-| `naive_sumQty` | `size=4` | 4.7 ± 0.2 | — | 0.0 | — |
+| `Fold_powerEach` | `size=1024` | 15,494.7 ± 1,970.6 | — | 43,036.0 | — |
+| `Fold_powerEach` | `size=256` | 2,638.1 ± 10.2 | — | 9,240.2 | — |
+| `Fold_powerEach` | `size=32` | 273.9 ± 0.8 | — | 920.0 | — |
+| `Fold_powerEach` | `size=4` | 56.7 ± 0.2 | — | 328.0 | — |
+| `Modify_multiFocus` | `size=1024` | 56,453.4 ± 929.3 | — | 331,134.5 | — |
+| `Modify_multiFocus` | `size=256` | 12,672.1 ± 123.8 | — | 76,112.9 | — |
+| `Modify_multiFocus` | `size=32` | 1,461.3 ± 5.3 | — | 8,600.0 | — |
+| `Modify_multiFocus` | `size=4` | 190.7 ± 0.8 | — | 1,320.0 | — |
+| `Modify_powerEach` | `size=1024` | 29,220.8 ± 746.2 | — | 115,175.6 | — |
+| `Modify_powerEach` | `size=256` | 6,024.9 ± 474.2 | — | 26,080.4 | — |
+| `Modify_powerEach` | `size=32` | 758.1 ± 15.6 | — | 3,152.0 | — |
+| `Modify_powerEach` | `size=4` | 129.5 ± 1.4 | — | 800.0 | — |
+| `naive_listMap` | `size=1024` | 10,123.5 ± 28.1 | — | 65,578.6 | — |
+| `naive_listMap` | `size=256` | 2,480.4 ± 10.5 | — | 16,424.2 | — |
+| `naive_listMap` | `size=32` | 314.7 ± 1.1 | — | 2,088.0 | — |
+| `naive_listMap` | `size=4` | 45.0 ± 0.5 | — | 296.0 | — |
+| `naive_sumQty` | `size=1024` | 4,592.6 ± 176.5 | — | 16,129.2 | — |
+| `naive_sumQty` | `size=256` | 607.1 ± 2.3 | — | 3,840.0 | — |
+| `naive_sumQty` | `size=32` | 51.7 ± 0.1 | — | 256.0 | — |
+| `naive_sumQty` | `size=4` | 5.4 ± 0.1 | — | 0.0 | — |
 
 ## MultiFocusCollectBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `CollectList_listSum` | `-` | 24.1 ± 0.7 | — | 56.0 | — |
-| `CollectMap_constSum` | `-` | 1.3 ± 0.0 | — | 0.0 | — |
-| `CollectMap_zipMean` | `-` | 100.9 ± 1.1 | — | 880.0 | — |
-| `Modify_multiFocusTuple3` | `-` | 12.5 ± 0.4 | — | 128.0 | — |
-| `Modify_multiFocusTuple6` | `-` | 20.8 ± 0.5 | — | 224.0 | — |
-| `naive_constSum` | `-` | 1.3 ± 0.0 | — | 16.0 | — |
-| `naive_listSum` | `-` | 20.9 ± 0.3 | — | 56.0 | — |
-| `naive_tuple3Rewrite` | `-` | 7.4 ± 0.1 | — | 96.0 | — |
-| `naive_tuple6Rewrite` | `-` | 14.2 ± 0.3 | — | 184.0 | — |
-| `naive_zipMeanBroadcast` | `-` | 160.6 ± 9.2 | — | 1,176.0 | — |
+| `CollectList_listSum` | `-` | 24.2 ± 0.1 | — | 56.0 | — |
+| `CollectMap_constSum` | `-` | 1.4 ± 0.0 | — | 0.0 | — |
+| `CollectMap_zipMean` | `-` | 129.0 ± 0.5 | — | 880.0 | — |
+| `Modify_multiFocusTuple3` | `-` | 18.9 ± 0.4 | — | 128.0 | — |
+| `Modify_multiFocusTuple6` | `-` | 33.2 ± 0.2 | — | 224.0 | — |
+| `naive_constSum` | `-` | 2.4 ± 0.0 | — | 16.0 | — |
+| `naive_listSum` | `-` | 22.5 ± 0.3 | — | 56.0 | — |
+| `naive_tuple3Rewrite` | `-` | 13.0 ± 0.1 | — | 96.0 | — |
+| `naive_tuple6Rewrite` | `-` | 24.5 ± 0.2 | — | 184.0 | — |
+| `naive_zipMeanBroadcast` | `-` | 203.8 ± 0.9 | — | 1,176.0 | — |
 
 ## OpticBuildBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `build` | `-` | 38.1 ± 1.2 | — | 184.0 | — |
-| `buildAndUse` | `-` | 696.5 ± 47.1 | — | 2,840.0 | — |
-| `reuseUse` | `-` | 627.0 ± 17.7 | — | 2,696.0 | — |
+| `build` | `-` | 36.1 ± 0.0 | — | 184.0 | — |
+| `buildAndUse` | `-` | 799.2 ± 24.3 | — | 2,840.0 | — |
+| `reuseUse` | `-` | 757.2 ± 11.1 | — | 2,696.0 | — |
 
 ## OptionalBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Modify_0` | `-` | 14.2 ± 0.5 | 14.2 ± 0.6 | 112.0 | 112.0 |
-| `Modify_0_empty` | `-` | 0.8 ± 0.0 | 1.1 ± 0.0 | 0.0 | 0.0 |
-| `Modify_3` | `-` | 34.5 ± 1.2 | 44.5 ± 1.4 | 160.0 | 304.0 |
-| `Modify_6` | `-` | 77.1 ± 2.0 | 75.3 ± 1.6 | 208.0 | 496.0 |
-| `Modify_loyalty` | `-` | 12.6 ± 0.9 | 12.4 ± 0.8 | 112.0 | 112.0 |
-| `Modify_loyalty_empty` | `-` | 0.9 ± 0.0 | 1.1 ± 0.0 | 0.0 | 0.0 |
-| `Replace_0` | `-` | 3.5 ± 0.3 | 3.4 ± 0.1 | 40.0 | 40.0 |
-| `Replace_loyalty` | `-` | 6.9 ± 0.1 | 6.9 ± 0.2 | 88.0 | 88.0 |
+| `Modify_0` | `-` | 17.9 ± 0.1 | 17.9 ± 0.1 | 112.0 | 112.0 |
+| `Modify_0_empty` | `-` | 1.1 ± 0.0 | 1.3 ± 0.1 | 0.0 | 0.0 |
+| `Modify_3` | `-` | 38.5 ± 0.4 | 51.4 ± 0.3 | 160.0 | 304.0 |
+| `Modify_6` | `-` | 89.3 ± 0.4 | 84.6 ± 1.5 | 208.0 | 496.0 |
+| `Modify_loyalty` | `-` | 17.0 ± 0.2 | 16.9 ± 0.1 | 112.0 | 112.0 |
+| `Modify_loyalty_empty` | `-` | 1.1 ± 0.0 | 1.3 ± 0.0 | 0.0 | 0.0 |
+| `Replace_0` | `-` | 5.7 ± 0.0 | 5.5 ± 0.1 | 40.0 | 40.0 |
+| `Replace_loyalty` | `-` | 11.9 ± 0.1 | 11.8 ± 0.1 | 88.0 | 88.0 |
 
 ## OrderAvroBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `ModifyNames` | `size=512` | 22,685.4 ± 1,193.6 | — | 97,421.4 | — |
-| `ModifyNames` | `size=64` | 2,756.1 ± 95.6 | — | 12,616.1 | — |
-| `ModifyNames` | `size=8` | 381.6 ± 18.9 | — | 2,048.0 | — |
-| `ModifyStreet` | `size=512` | 79.9 ± 1.5 | — | 328.0 | — |
-| `ModifyStreet` | `size=64` | 79.4 ± 2.3 | — | 328.0 | — |
-| `ModifyStreet` | `size=8` | 81.6 ± 3.7 | — | 328.0 | — |
-| `ReadStreet` | `size=512` | 23.6 ± 0.8 | — | 88.0 | — |
-| `ReadStreet` | `size=64` | 23.5 ± 0.6 | — | 88.0 | — |
-| `ReadStreet` | `size=8` | 23.3 ± 0.3 | — | 88.0 | — |
-| `monocleModifyNames` | `size=512` | 74,146.7 ± 2,185.2 | — | 382,786.9 | — |
-| `monocleModifyNames` | `size=64` | 6,755.2 ± 263.9 | — | 39,840.2 | — |
-| `monocleModifyNames` | `size=8` | 1,007.9 ± 33.5 | — | 5,400.0 | — |
-| `monocleModifyStreet` | `size=512` | 35,020.7 ± 1,424.3 | — | 169,071.1 | — |
-| `monocleModifyStreet` | `size=64` | 4,447.4 ± 117.1 | — | 20,904.2 | — |
-| `monocleModifyStreet` | `size=8` | 605.6 ± 26.9 | — | 2,992.0 | — |
-| `monocleReadStreet` | `size=512` | 17,410.6 ± 262.0 | — | 69,780.2 | — |
-| `monocleReadStreet` | `size=64` | 2,841.2 ± 251.9 | — | 8,848.1 | — |
-| `monocleReadStreet` | `size=8` | 403.1 ± 75.1 | — | 1,208.0 | — |
-| `naiveModifyNames` | `size=512` | 43,150.9 ± 366.8 | — | 226,287.1 | — |
-| `naiveModifyNames` | `size=64` | 5,464.5 ± 182.6 | — | 27,936.2 | — |
-| `naiveModifyNames` | `size=8` | 712.2 ± 25.5 | — | 3,752.0 | — |
-| `naiveModifyStreet` | `size=512` | 33,568.4 ± 436.9 | — | 169,047.3 | — |
-| `naiveModifyStreet` | `size=64` | 4,396.7 ± 139.9 | — | 20,880.1 | — |
-| `naiveModifyStreet` | `size=8` | 605.9 ± 37.6 | — | 2,968.0 | — |
-| `naiveReadStreet` | `size=512` | 17,507.4 ± 173.5 | — | 69,780.2 | — |
-| `naiveReadStreet` | `size=64` | 3,038.7 ± 314.1 | — | 8,848.1 | — |
-| `naiveReadStreet` | `size=8` | 295.4 ± 12.0 | — | 1,208.0 | — |
+| `ModifyNames` | `size=512` | 25,112.6 ± 137.5 | — | 97,421.9 | — |
+| `ModifyNames` | `size=64` | 3,014.1 ± 58.4 | — | 13,128.1 | — |
+| `ModifyNames` | `size=8` | 453.9 ± 1.2 | — | 2,160.0 | — |
+| `ModifyStreet` | `size=512` | 86.3 ± 0.2 | — | 328.0 | — |
+| `ModifyStreet` | `size=64` | 85.5 ± 0.2 | — | 328.0 | — |
+| `ModifyStreet` | `size=8` | 86.1 ± 1.3 | — | 328.0 | — |
+| `ReadStreet` | `size=512` | 24.5 ± 0.3 | — | 88.0 | — |
+| `ReadStreet` | `size=64` | 24.3 ± 0.0 | — | 88.0 | — |
+| `ReadStreet` | `size=8` | 24.4 ± 0.1 | — | 88.0 | — |
+| `monocleModifyNames` | `size=512` | 71,679.5 ± 377.2 | — | 382,786.6 | — |
+| `monocleModifyNames` | `size=64` | 7,420.1 ± 79.9 | — | 39,840.3 | — |
+| `monocleModifyNames` | `size=8` | 1,058.5 ± 8.4 | — | 5,400.0 | — |
+| `monocleModifyStreet` | `size=512` | 33,901.1 ± 261.0 | — | 169,070.7 | — |
+| `monocleModifyStreet` | `size=64` | 4,412.2 ± 77.4 | — | 20,904.1 | — |
+| `monocleModifyStreet` | `size=8` | 689.2 ± 22.9 | — | 2,992.0 | — |
+| `monocleReadStreet` | `size=512` | 17,105.2 ± 29.6 | — | 69,780.1 | — |
+| `monocleReadStreet` | `size=64` | 2,187.9 ± 23.5 | — | 8,848.1 | — |
+| `monocleReadStreet` | `size=8` | 329.4 ± 4.4 | — | 1,208.0 | — |
+| `naiveModifyNames` | `size=512` | 43,850.4 ± 481.5 | — | 226,287.6 | — |
+| `naiveModifyNames` | `size=64` | 5,631.5 ± 66.1 | — | 27,936.2 | — |
+| `naiveModifyNames` | `size=8` | 818.2 ± 15.4 | — | 3,752.0 | — |
+| `naiveModifyStreet` | `size=512` | 33,797.8 ± 421.3 | — | 169,046.7 | — |
+| `naiveModifyStreet` | `size=64` | 4,427.2 ± 83.5 | — | 20,880.1 | — |
+| `naiveModifyStreet` | `size=8` | 694.7 ± 19.0 | — | 2,968.0 | — |
+| `naiveReadStreet` | `size=512` | 17,173.6 ± 241.4 | — | 69,780.1 | — |
+| `naiveReadStreet` | `size=64` | 2,180.4 ± 3.7 | — | 8,848.1 | — |
+| `naiveReadStreet` | `size=8` | 328.9 ± 3.6 | — | 1,208.0 | — |
 
 ## OrderCirceBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Names` | `size=512` | 136,508.7 ± 5,885.7 | — | 613,949.4 | — |
-| `Names` | `size=64` | 17,688.0 ± 813.8 | — | 78,777.9 | — |
-| `Names` | `size=8` | 2,436.9 ± 107.9 | — | 10,944.1 | — |
-| `NamesIor` | `size=512` | 154,436.9 ± 3,554.7 | — | 683,467.8 | — |
-| `NamesIor` | `size=64` | 19,873.6 ± 531.2 | — | 87,487.4 | — |
-| `NamesIor` | `size=8` | 2,554.1 ± 77.1 | — | 11,576.1 | — |
-| `Street` | `size=512` | 659.8 ± 50.5 | — | 2,720.5 | — |
-| `Street` | `size=64` | 659.6 ± 52.2 | — | 2,720.1 | — |
-| `Street` | `size=8` | 613.3 ± 8.4 | — | 2,720.0 | — |
-| `StreetIor` | `size=512` | 615.5 ± 16.7 | — | 2,736.5 | — |
-| `StreetIor` | `size=64` | 623.9 ± 13.8 | — | 2,736.1 | — |
-| `StreetIor` | `size=8` | 609.6 ± 8.8 | — | 2,736.0 | — |
-| `directNames` | `size=512` | 136,137.3 ± 5,706.7 | — | 613,909.1 | — |
-| `directNames` | `size=64` | 16,900.4 ± 271.8 | — | 77,177.8 | — |
-| `directNames` | `size=8` | 2,349.1 ± 89.2 | — | 10,688.1 | — |
-| `directStreet` | `size=512` | 635.5 ± 18.9 | — | 2,728.5 | — |
-| `directStreet` | `size=64` | 652.9 ± 60.7 | — | 2,736.1 | — |
-| `directStreet` | `size=8` | 653.2 ± 37.3 | — | 2,736.0 | — |
-| `hcursorNames` | `size=512` | 135,868.0 ± 3,572.9 | — | 609,804.9 | — |
-| `hcursorNames` | `size=64` | 17,339.3 ± 651.4 | — | 77,257.8 | — |
-| `hcursorNames` | `size=8` | 2,357.0 ± 79.5 | — | 10,696.1 | — |
-| `hcursorStreet` | `size=512` | 711.7 ± 53.2 | — | 3,032.6 | — |
-| `hcursorStreet` | `size=64` | 691.7 ± 22.8 | — | 3,032.1 | — |
-| `hcursorStreet` | `size=8` | 673.7 ± 11.5 | — | 3,032.0 | — |
-| `monocleNames` | `size=512` | 189,274.0 ± 2,993.8 | — | 1,121,735.2 | — |
-| `monocleNames` | `size=64` | 18,595.4 ± 535.2 | — | 132,767.0 | — |
-| `monocleNames` | `size=8` | 3,119.9 ± 56.7 | — | 19,477.4 | — |
-| `monocleStreet` | `size=512` | 146,025.2 ± 1,402.9 | — | 908,002.1 | — |
-| `monocleStreet` | `size=64` | 15,821.4 ± 378.3 | — | 113,809.4 | — |
-| `monocleStreet` | `size=8` | 2,700.5 ± 75.5 | — | 17,053.4 | — |
-| `naiveNames` | `size=512` | 163,938.1 ± 7,361.0 | — | 965,246.2 | — |
-| `naiveNames` | `size=64` | 16,912.1 ± 305.8 | — | 120,825.5 | — |
-| `naiveNames` | `size=8` | 2,810.1 ± 59.9 | — | 17,808.1 | — |
-| `naiveStreet` | `size=512` | 149,523.8 ± 2,282.8 | — | 908,009.8 | — |
-| `naiveStreet` | `size=64` | 16,091.2 ± 453.9 | — | 113,801.4 | — |
-| `naiveStreet` | `size=8` | 2,727.6 ± 64.0 | — | 17,040.1 | — |
+| `Names` | `size=512` | 165,861.5 ± 3,391.9 | — | 613,973.0 | — |
+| `Names` | `size=64` | 21,094.6 ± 536.0 | — | 78,778.2 | — |
+| `Names` | `size=8` | 2,870.5 ± 59.8 | — | 10,944.1 | — |
+| `NamesIor` | `size=512` | 170,538.4 ± 3,253.5 | — | 679,376.7 | — |
+| `NamesIor` | `size=64` | 23,127.9 ± 330.3 | — | 86,962.4 | — |
+| `NamesIor` | `size=8` | 3,111.5 ± 107.2 | — | 11,576.1 | — |
+| `Street` | `size=512` | 748.1 ± 11.6 | — | 2,720.6 | — |
+| `Street` | `size=64` | 755.7 ± 19.1 | — | 2,720.1 | — |
+| `Street` | `size=8` | 771.6 ± 11.8 | — | 2,720.0 | — |
+| `StreetIor` | `size=512` | 779.5 ± 7.8 | — | 2,736.6 | — |
+| `StreetIor` | `size=64` | 771.1 ± 23.8 | — | 2,736.1 | — |
+| `StreetIor` | `size=8` | 761.4 ± 17.5 | — | 2,736.0 | — |
+| `directNames` | `size=512` | 160,671.7 ± 3,762.5 | — | 613,928.8 | — |
+| `directNames` | `size=64` | 20,432.2 ± 275.8 | — | 77,698.2 | — |
+| `directNames` | `size=8` | 2,801.1 ± 78.1 | — | 10,688.1 | — |
+| `directStreet` | `size=512` | 770.9 ± 7.7 | — | 2,736.6 | — |
+| `directStreet` | `size=64` | 768.2 ± 3.8 | — | 2,736.1 | — |
+| `directStreet` | `size=8` | 772.4 ± 8.7 | — | 2,736.0 | — |
+| `hcursorNames` | `size=512` | 160,016.3 ± 5,165.1 | — | 613,928.3 | — |
+| `hcursorNames` | `size=64` | 20,488.9 ± 691.2 | — | 77,778.2 | — |
+| `hcursorNames` | `size=8` | 2,789.6 ± 146.3 | — | 10,696.1 | — |
+| `hcursorStreet` | `size=512` | 810.9 ± 8.2 | — | 3,032.6 | — |
+| `hcursorStreet` | `size=64` | 801.4 ± 10.2 | — | 3,032.1 | — |
+| `hcursorStreet` | `size=8` | 810.7 ± 8.6 | — | 3,032.0 | — |
+| `monocleNames` | `size=512` | 180,538.0 ± 2,074.2 | — | 1,121,729.3 | — |
+| `monocleNames` | `size=64` | 20,767.7 ± 434.0 | — | 132,756.5 | — |
+| `monocleNames` | `size=8` | 3,184.3 ± 24.0 | — | 19,466.7 | — |
+| `monocleStreet` | `size=512` | 140,475.5 ± 2,884.0 | — | 907,998.4 | — |
+| `monocleStreet` | `size=64` | 17,668.2 ± 335.9 | — | 113,809.6 | — |
+| `monocleStreet` | `size=8` | 2,753.2 ± 34.7 | — | 17,053.4 | — |
+| `naiveNames` | `size=512` | 147,247.6 ± 1,961.3 | — | 965,235.0 | — |
+| `naiveNames` | `size=64` | 18,519.0 ± 231.9 | — | 120,825.7 | — |
+| `naiveNames` | `size=8` | 2,882.6 ± 48.1 | — | 17,808.1 | — |
+| `naiveStreet` | `size=512` | 139,044.2 ± 553.9 | — | 908,008.1 | — |
+| `naiveStreet` | `size=64` | 17,586.3 ± 160.9 | — | 113,774.9 | — |
+| `naiveStreet` | `size=8` | 2,724.6 ± 26.7 | — | 17,034.7 | — |
 
 ## OrderJsoniterBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `ModifyStreet` | `size=512` | 5,497.2 ± 83.6 | — | 42,028.9 | — |
-| `ModifyStreet` | `size=64` | 830.7 ± 16.3 | — | 5,432.1 | — |
-| `ModifyStreet` | `size=8` | 213.8 ± 11.1 | — | 1,080.0 | — |
-| `ReadStreet` | `size=512` | 130.0 ± 5.6 | — | 109.5 | — |
-| `ReadStreet` | `size=64` | 128.9 ± 4.4 | — | 109.3 | — |
-| `ReadStreet` | `size=8` | 125.9 ± 2.3 | — | 90.7 | — |
-| `SumPrices` | `size=512` | 59,361.5 ± 1,761.7 | — | 63,711.9 | — |
-| `SumPrices` | `size=64` | 7,662.4 ± 375.2 | — | 8,120.9 | — |
-| `SumPrices` | `size=8` | 998.1 ± 32.7 | — | 1,176.0 | — |
-| `monocleModifyStreet` | `size=512` | 106,445.4 ± 4,506.6 | — | 333,473.6 | — |
-| `monocleModifyStreet` | `size=64` | 12,360.4 ± 434.7 | — | 30,081.2 | — |
-| `monocleModifyStreet` | `size=8` | 1,988.9 ± 33.4 | — | 4,664.0 | — |
-| `monocleReadStreet` | `size=512` | 55,727.5 ± 2,747.4 | — | 193,199.7 | — |
-| `monocleReadStreet` | `size=64` | 6,846.0 ± 225.3 | — | 24,704.7 | — |
-| `monocleReadStreet` | `size=8` | 1,106.9 ± 22.5 | — | 3,648.0 | — |
-| `monocleSumPrices` | `size=512` | 302,491.2 ± 18,291.5 | — | 1,178,338.9 | — |
-| `monocleSumPrices` | `size=64` | 10,097.4 ± 333.6 | — | 45,841.0 | — |
-| `monocleSumPrices` | `size=8` | 1,620.9 ± 59.8 | — | 6,445.4 | — |
-| `naiveModifyStreet` | `size=512` | 107,342.7 ± 4,232.6 | — | 333,466.3 | — |
-| `naiveModifyStreet` | `size=64` | 12,129.9 ± 323.8 | — | 30,057.2 | — |
-| `naiveModifyStreet` | `size=8` | 2,015.1 ± 53.0 | — | 4,640.0 | — |
-| `naiveReadStreet` | `size=512` | 55,926.8 ± 2,328.4 | — | 193,199.9 | — |
-| `naiveReadStreet` | `size=64` | 7,037.7 ± 359.0 | — | 24,704.7 | — |
-| `naiveReadStreet` | `size=8` | 1,131.7 ± 50.5 | — | 3,648.0 | — |
-| `naiveSumPrices` | `size=512` | 58,612.2 ± 1,852.9 | — | 230,090.2 | — |
-| `naiveSumPrices` | `size=64` | 7,396.0 ± 175.9 | — | 29,336.8 | — |
-| `naiveSumPrices` | `size=8` | 1,164.6 ± 19.5 | — | 4,248.0 | — |
-| `nativeReadStreet` | `size=512` | 25,173.3 ± 782.5 | — | 445.0 | — |
-| `nativeReadStreet` | `size=64` | 3,200.1 ± 116.8 | — | 424.3 | — |
-| `nativeReadStreet` | `size=8` | 569.7 ± 14.8 | — | 424.0 | — |
-| `nativeSumPrices` | `size=512` | 43,656.3 ± 2,038.0 | — | 86,268.1 | — |
-| `nativeSumPrices` | `size=64` | 5,282.6 ± 229.6 | — | 10,920.6 | — |
-| `nativeSumPrices` | `size=8` | 748.9 ± 33.0 | — | 1,512.0 | — |
+| `ModifyStreet` | `size=512` | 5,605.8 ± 58.5 | — | 42,029.0 | — |
+| `ModifyStreet` | `size=64` | 803.2 ± 4.9 | — | 5,432.1 | — |
+| `ModifyStreet` | `size=8` | 233.2 ± 1.1 | — | 1,080.0 | — |
+| `ReadStreet` | `size=512` | 147.4 ± 2.1 | — | 109.5 | — |
+| `ReadStreet` | `size=64` | 149.7 ± 1.2 | — | 128.0 | — |
+| `ReadStreet` | `size=8` | 147.2 ± 2.5 | — | 90.7 | — |
+| `SumPrices` | `size=512` | 67,758.6 ± 332.5 | — | 63,713.1 | — |
+| `SumPrices` | `size=64` | 8,401.5 ± 64.8 | — | 8,121.0 | — |
+| `SumPrices` | `size=8` | 1,147.9 ± 22.4 | — | 1,176.0 | — |
+| `monocleModifyStreet` | `size=512` | 119,210.4 ± 699.3 | — | 333,548.1 | — |
+| `monocleModifyStreet` | `size=64` | 14,249.5 ± 30.7 | — | 30,081.4 | — |
+| `monocleModifyStreet` | `size=8` | 2,516.6 ± 21.3 | — | 4,664.1 | — |
+| `monocleReadStreet` | `size=512` | 62,735.4 ± 378.6 | — | 193,205.7 | — |
+| `monocleReadStreet` | `size=64` | 8,035.7 ± 145.8 | — | 24,704.8 | — |
+| `monocleReadStreet` | `size=8` | 1,277.8 ± 12.7 | — | 3,648.0 | — |
+| `monocleSumPrices` | `size=512` | 295,494.7 ± 2,715.7 | — | 1,178,332.9 | — |
+| `monocleSumPrices` | `size=64` | 11,464.7 ± 31.9 | — | 45,833.2 | — |
+| `monocleSumPrices` | `size=8` | 1,882.8 ± 14.7 | — | 6,338.7 | — |
+| `naiveModifyStreet` | `size=512` | 119,443.0 ± 445.5 | — | 333,499.9 | — |
+| `naiveModifyStreet` | `size=64` | 14,268.9 ± 134.0 | — | 30,057.4 | — |
+| `naiveModifyStreet` | `size=8` | 2,500.8 ± 4.7 | — | 4,640.1 | — |
+| `naiveReadStreet` | `size=512` | 62,951.2 ± 232.8 | — | 193,205.9 | — |
+| `naiveReadStreet` | `size=64` | 7,949.0 ± 18.8 | — | 24,704.8 | — |
+| `naiveReadStreet` | `size=8` | 1,271.5 ± 6.1 | — | 3,648.0 | — |
+| `naiveSumPrices` | `size=512` | 68,711.6 ± 442.1 | — | 230,098.9 | — |
+| `naiveSumPrices` | `size=64` | 8,578.0 ± 21.8 | — | 29,336.9 | — |
+| `naiveSumPrices` | `size=8` | 1,348.2 ± 6.6 | — | 4,248.0 | — |
+| `nativeReadStreet` | `size=512` | 28,950.9 ± 219.7 | — | 448.2 | — |
+| `nativeReadStreet` | `size=64` | 3,734.5 ± 69.9 | — | 424.4 | — |
+| `nativeReadStreet` | `size=8` | 667.3 ± 8.2 | — | 424.0 | — |
+| `nativeSumPrices` | `size=512` | 47,023.9 ± 989.3 | — | 86,269.7 | — |
+| `nativeSumPrices` | `size=64` | 5,744.5 ± 15.2 | — | 10,920.6 | — |
+| `nativeSumPrices` | `size=8` | 856.3 ± 5.9 | — | 1,512.0 | — |
 
 ## PlatedBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `TransformDeep` | `n=4096` | 113,326.9 ± 2,754.6 | — | 624,378.5 | — |
-| `TransformDeep` | `n=512` | 10,667.5 ± 288.8 | — | 57,361.1 | — |
-| `TransformDeep` | `n=64` | 1,196.8 ± 27.1 | — | 7,184.0 | — |
-| `TransformExpr` | `n=4096` | 108,826.1 ± 7,367.5 | 114,486.6 ± 3,342.9 | 655,343.2 | 753,699.3 |
-| `TransformExpr` | `n=512` | 13,313.6 ± 265.0 | 10,687.4 ± 179.1 | 81,825.4 | 69,585.1 |
-| `TransformExpr` | `n=64` | 1,701.4 ± 23.1 | 1,875.6 ± 89.0 | 10,144.0 | 11,728.0 |
-| `UniverseDeep` | `n=4096` | 145,025.4 ± 3,131.3 | — | 786,609.6 | — |
-| `UniverseDeep` | `n=512` | 14,161.1 ± 537.4 | — | 98,377.4 | — |
-| `UniverseDeep` | `n=64` | 1,580.6 ± 56.9 | — | 12,360.0 | — |
-| `UniverseExpr` | `n=4096` | 145,392.7 ± 3,046.4 | 3,858,618.7 ± 208,771.0 | 786,417.8 | 4,688,483.2 |
-| `UniverseExpr` | `n=512` | 14,006.6 ± 308.2 | 256,141.0 ± 7,774.9 | 98,185.4 | 475,018.2 |
-| `UniverseExpr` | `n=64` | 1,597.6 ± 81.0 | 22,972.4 ± 527.2 | 12,168.0 | 45,424.4 |
-| `UniverseJson` | `n=4096` | 200,009.6 ± 6,961.7 | 4,183,491.0 ± 222,157.7 | 786,457.6 | 6,490,581.5 |
-| `UniverseJson` | `n=512` | 20,510.5 ± 519.2 | 298,099.7 ± 10,105.5 | 98,186.1 | 699,926.4 |
-| `UniverseJson` | `n=64` | 2,520.9 ± 107.6 | 26,607.2 ± 691.3 | 12,168.0 | 73,208.5 |
-| `visitorTransformDeep` | `n=4096` | 28,478.6 ± 730.9 | — | 163,876.7 | — |
-| `visitorTransformDeep` | `n=512` | 3,335.8 ± 85.9 | — | 20,496.3 | — |
-| `visitorTransformDeep` | `n=64` | 388.6 ± 11.7 | — | 2,576.0 | — |
-| `visitorTransformExpr` | `n=4096` | 53,102.5 ± 716.5 | — | 360,462.7 | — |
-| `visitorTransformExpr` | `n=512` | 5,965.5 ± 159.6 | — | 45,032.6 | — |
-| `visitorTransformExpr` | `n=64` | 809.7 ± 21.0 | — | 5,608.0 | — |
-| `visitorUniverseDeep` | `n=4096` | 48,077.1 ± 783.6 | — | 196,699.0 | — |
-| `visitorUniverseDeep` | `n=512` | 5,400.2 ± 111.5 | — | 24,632.6 | — |
-| `visitorUniverseDeep` | `n=64` | 607.3 ± 20.9 | — | 3,128.0 | — |
-| `visitorUniverseExpr` | `n=4096` | 52,303.4 ± 1,145.9 | — | 196,654.1 | — |
-| `visitorUniverseExpr` | `n=512` | 6,284.3 ± 162.1 | — | 24,584.6 | — |
-| `visitorUniverseExpr` | `n=64` | 605.1 ± 10.7 | — | 3,080.0 | — |
-| `visitorUniverseJson` | `n=4096` | 119,428.0 ± 36,166.3 | — | 374,558.9 | — |
-| `visitorUniverseJson` | `n=512` | 21,600.7 ± 500.2 | — | 40,954.2 | — |
-| `visitorUniverseJson` | `n=64` | 1,725.3 ± 54.4 | — | 4,424.0 | — |
+| `TransformDeep` | `n=4096` | 113,589.8 ± 270.8 | — | 624,378.7 | — |
+| `TransformDeep` | `n=512` | 12,073.9 ± 177.3 | — | 57,361.2 | — |
+| `TransformDeep` | `n=64` | 1,262.8 ± 4.9 | — | 7,184.0 | — |
+| `TransformExpr` | `n=4096` | 114,650.3 ± 2,459.4 | 134,018.3 ± 1,604.5 | 655,347.5 | 753,713.5 |
+| `TransformExpr` | `n=512` | 14,224.3 ± 42.5 | 12,097.4 ± 92.1 | 81,825.5 | 69,585.2 |
+| `TransformExpr` | `n=64` | 1,748.8 ± 20.5 | 2,043.7 ± 12.4 | 10,144.0 | 11,728.0 |
+| `UniverseDeep` | `n=4096` | 139,189.4 ± 1,415.4 | — | 786,605.3 | — |
+| `UniverseDeep` | `n=512` | 16,866.2 ± 62.4 | — | 98,377.7 | — |
+| `UniverseDeep` | `n=64` | 1,945.7 ± 6.2 | — | 12,360.0 | — |
+| `UniverseExpr` | `n=4096` | 137,192.7 ± 991.7 | 4,297,983.2 ± 173,922.3 | 786,411.9 | 4,688,802.6 |
+| `UniverseExpr` | `n=512` | 16,558.9 ± 210.1 | 301,081.2 ± 5,228.7 | 98,185.7 | 475,022.7 |
+| `UniverseExpr` | `n=64` | 1,904.5 ± 9.4 | 26,311.1 ± 151.7 | 12,168.0 | 45,424.5 |
+| `UniverseJson` | `n=4096` | 178,734.8 ± 1,039.6 | 4,529,430.0 ± 214,793.4 | 786,442.1 | 6,884,001.3 |
+| `UniverseJson` | `n=512` | 21,362.6 ± 81.5 | 331,801.0 ± 4,258.1 | 98,186.2 | 699,929.9 |
+| `UniverseJson` | `n=64` | 2,387.4 ± 45.3 | 30,140.9 ± 164.7 | 12,168.0 | 73,208.6 |
+| `visitorTransformDeep` | `n=4096` | 39,532.5 ± 203.4 | — | 163,884.8 | — |
+| `visitorTransformDeep` | `n=512` | 4,360.8 ± 80.5 | — | 20,496.4 | — |
+| `visitorTransformDeep` | `n=64` | 484.5 ± 4.0 | — | 2,576.0 | — |
+| `visitorTransformExpr` | `n=4096` | 61,466.4 ± 176.0 | — | 360,468.7 | — |
+| `visitorTransformExpr` | `n=512` | 7,196.9 ± 17.8 | — | 45,032.7 | — |
+| `visitorTransformExpr` | `n=64` | 938.6 ± 3.6 | — | 5,608.0 | — |
+| `visitorUniverseDeep` | `n=4096` | 52,905.9 ± 213.8 | — | 196,702.5 | — |
+| `visitorUniverseDeep` | `n=512` | 6,432.1 ± 20.5 | — | 24,632.7 | — |
+| `visitorUniverseDeep` | `n=64` | 662.8 ± 1.3 | — | 3,128.0 | — |
+| `visitorUniverseExpr` | `n=4096` | 46,975.4 ± 178.3 | — | 196,650.2 | — |
+| `visitorUniverseExpr` | `n=512` | 5,799.4 ± 32.8 | — | 24,584.6 | — |
+| `visitorUniverseExpr` | `n=64` | 681.0 ± 8.8 | — | 3,080.0 | — |
+| `visitorUniverseJson` | `n=4096` | 111,847.0 ± 12,983.9 | — | 299,674.6 | — |
+| `visitorUniverseJson` | `n=512` | 18,126.2 ± 1,237.6 | — | 42,313.9 | — |
+| `visitorUniverseJson` | `n=64` | 1,670.9 ± 82.8 | — | 4,424.0 | — |
 
 ## PowerSeriesBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Modify_powerEach` | `size=1024` | 9,886.9 ± 200.8 | — | 41,412.7 | — |
-| `Modify_powerEach` | `size=16` | 171.8 ± 9.4 | — | 1,088.0 | — |
-| `Modify_powerEach` | `size=256` | 2,661.3 ± 138.5 | — | 10,688.4 | — |
-| `Modify_powerEach` | `size=4` | 76.9 ± 2.2 | — | 608.0 | — |
-| `Modify_powerEach` | `size=4096` | 41,538.5 ± 1,898.3 | — | 164,356.0 | — |
-| `Modify_powerEach` | `size=64` | 551.6 ± 11.8 | — | 3,008.0 | — |
-| `monocle_powerEach` | `size=1024` | 49,643.0 ± 838.4 | — | 279,425.7 | — |
-| `monocle_powerEach` | `size=16` | 504.5 ± 10.4 | — | 3,720.0 | — |
-| `monocle_powerEach` | `size=256` | 16,763.3 ± 388.6 | — | 107,338.6 | — |
-| `monocle_powerEach` | `size=4` | 130.9 ± 5.0 | — | 1,176.0 | — |
-| `monocle_powerEach` | `size=4096` | 194,302.6 ± 4,965.9 | — | 967,868.4 | — |
-| `monocle_powerEach` | `size=64` | 2,150.6 ± 37.8 | — | 14,520.1 | — |
-| `naive_powerEach` | `size=1024` | 5,159.9 ± 108.3 | — | 28,730.4 | — |
-| `naive_powerEach` | `size=16` | 71.4 ± 1.1 | — | 504.0 | — |
-| `naive_powerEach` | `size=256` | 1,262.8 ± 16.6 | — | 7,224.2 | — |
-| `naive_powerEach` | `size=4` | 19.5 ± 0.7 | — | 168.0 | — |
-| `naive_powerEach` | `size=4096` | 23,758.9 ± 760.9 | — | 114,783.0 | — |
-| `naive_powerEach` | `size=64` | 336.2 ± 4.8 | — | 1,848.0 | — |
+| `Modify_powerEach` | `size=1024` | 10,606.2 ± 32.4 | — | 41,413.0 | — |
+| `Modify_powerEach` | `size=16` | 180.3 ± 1.2 | — | 1,088.0 | — |
+| `Modify_powerEach` | `size=256` | 2,462.5 ± 13.8 | — | 10,688.4 | — |
+| `Modify_powerEach` | `size=4` | 91.5 ± 0.2 | — | 608.0 | — |
+| `Modify_powerEach` | `size=4096` | 42,276.9 ± 1,158.2 | — | 164,356.9 | — |
+| `Modify_powerEach` | `size=64` | 657.0 ± 12.5 | — | 3,008.0 | — |
+| `monocle_powerEach` | `size=1024` | 50,383.4 ± 666.2 | — | 279,426.2 | — |
+| `monocle_powerEach` | `size=16` | 595.1 ± 2.4 | — | 3,720.0 | — |
+| `monocle_powerEach` | `size=256` | 18,151.2 ± 91.3 | — | 107,330.8 | — |
+| `monocle_powerEach` | `size=4` | 167.2 ± 1.6 | — | 1,176.0 | — |
+| `monocle_powerEach` | `size=4096` | 176,221.2 ± 2,120.9 | — | 967,839.0 | — |
+| `monocle_powerEach` | `size=64` | 2,226.2 ± 11.8 | — | 14,514.7 | — |
+| `naive_powerEach` | `size=1024` | 5,284.5 ± 182.9 | — | 28,730.5 | — |
+| `naive_powerEach` | `size=16` | 84.7 ± 0.9 | — | 504.0 | — |
+| `naive_powerEach` | `size=256` | 1,246.1 ± 5.7 | — | 7,224.2 | — |
+| `naive_powerEach` | `size=4` | 26.2 ± 0.2 | — | 168.0 | — |
+| `naive_powerEach` | `size=4096` | 20,329.7 ± 97.9 | — | 114,777.1 | — |
+| `naive_powerEach` | `size=64` | 318.4 ± 2.3 | — | 1,848.0 | — |
 
 ## PowerSeriesNestedBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Modify_nested` | `size=1024` | 49,951.6 ± 1,641.6 | — | 210,533.6 | — |
-| `Modify_nested` | `size=16` | 970.4 ± 27.2 | — | 4,744.0 | — |
-| `Modify_nested` | `size=256` | 14,139.5 ± 281.2 | — | 53,696.9 | — |
-| `Modify_nested` | `size=4` | 441.6 ± 12.4 | — | 2,264.0 | — |
-| `Modify_nested` | `size=64` | 3,800.5 ± 170.3 | — | 14,616.4 | — |
-| `monocle_nested` | `size=1024` | 221,339.5 ± 6,741.5 | — | 1,118,802.9 | — |
-| `monocle_nested` | `size=16` | 2,462.5 ± 111.3 | — | 15,776.1 | — |
-| `monocle_nested` | `size=256` | 71,544.4 ± 1,584.1 | — | 430,203.3 | — |
-| `monocle_nested` | `size=4` | 908.2 ± 24.2 | — | 5,536.0 | — |
-| `monocle_nested` | `size=64` | 8,092.0 ± 268.3 | — | 58,859.5 | — |
-| `naive_nested` | `size=1024` | 19,826.4 ± 650.6 | — | 115,068.1 | — |
-| `naive_nested` | `size=16` | 309.9 ± 11.5 | — | 2,136.0 | — |
-| `naive_nested` | `size=256` | 4,900.5 ± 120.3 | — | 29,019.1 | — |
-| `naive_nested` | `size=4` | 95.0 ± 3.3 | — | 792.0 | — |
-| `naive_nested` | `size=64` | 1,230.1 ± 26.1 | — | 7,512.1 | — |
+| `Modify_nested` | `size=1024` | 51,294.5 ± 907.5 | — | 210,560.0 | — |
+| `Modify_nested` | `size=16` | 1,103.3 ± 34.1 | — | 4,792.0 | — |
+| `Modify_nested` | `size=256` | 14,889.8 ± 308.2 | — | 53,729.4 | — |
+| `Modify_nested` | `size=4` | 527.3 ± 11.0 | — | 2,240.0 | — |
+| `Modify_nested` | `size=64` | 4,018.3 ± 424.4 | — | 14,640.5 | — |
+| `monocle_nested` | `size=1024` | 207,300.7 ± 2,134.2 | — | 1,118,777.4 | — |
+| `monocle_nested` | `size=16` | 2,612.0 ± 91.6 | — | 15,749.4 | — |
+| `monocle_nested` | `size=256` | 75,908.4 ± 724.0 | — | 430,204.5 | — |
+| `monocle_nested` | `size=4` | 1,026.8 ± 52.2 | — | 5,557.4 | — |
+| `monocle_nested` | `size=64` | 9,280.5 ± 95.8 | — | 58,859.7 | — |
+| `naive_nested` | `size=1024` | 19,638.8 ± 112.7 | — | 115,067.8 | — |
+| `naive_nested` | `size=16` | 353.8 ± 6.1 | — | 2,136.0 | — |
+| `naive_nested` | `size=256` | 4,959.0 ± 67.9 | — | 29,019.1 | — |
+| `naive_nested` | `size=4` | 126.8 ± 1.0 | — | 792.0 | — |
+| `naive_nested` | `size=64` | 1,247.3 ± 23.9 | — | 7,512.1 | — |
 
 ## PowerSeriesPrismBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Modify_sparse` | `size=128` | 1,238.7 ± 95.2 | — | 4,816.1 | — |
-| `Modify_sparse` | `size=2048` | 19,756.0 ± 405.9 | — | 104,687.9 | — |
-| `Modify_sparse` | `size=32` | 298.2 ± 7.4 | — | 1,360.0 | — |
-| `Modify_sparse` | `size=512` | 5,004.9 ± 104.0 | — | 24,785.4 | — |
-| `Modify_sparse` | `size=8` | 87.8 ± 2.5 | — | 496.0 | — |
-| `monocle_sparse` | `size=128` | 3,997.1 ± 136.1 | — | 27,808.2 | — |
-| `monocle_sparse` | `size=2048` | 97,801.6 ± 8,555.6 | — | 523,143.7 | — |
-| `monocle_sparse` | `size=32` | 1,131.4 ± 27.3 | — | 7,024.0 | — |
-| `monocle_sparse` | `size=512` | 27,484.7 ± 720.6 | — | 166,680.5 | — |
-| `monocle_sparse` | `size=8` | 294.5 ± 20.7 | — | 1,952.0 | — |
-| `naive_sparse` | `size=128` | 323.6 ± 9.7 | — | 1,568.0 | — |
-| `naive_sparse` | `size=2048` | 3,810.4 ± 94.1 | — | 24,611.2 | — |
-| `naive_sparse` | `size=32` | 82.7 ± 1.6 | — | 416.0 | — |
-| `naive_sparse` | `size=512` | 1,163.7 ± 41.9 | — | 6,176.3 | — |
-| `naive_sparse` | `size=8` | 17.0 ± 0.4 | — | 128.0 | — |
+| `Modify_sparse` | `size=128` | 1,141.5 ± 17.6 | — | 4,816.1 | — |
+| `Modify_sparse` | `size=2048` | 19,349.0 ± 231.6 | — | 104,672.0 | — |
+| `Modify_sparse` | `size=32` | 276.7 ± 2.8 | — | 1,360.0 | — |
+| `Modify_sparse` | `size=512` | 4,936.7 ± 51.6 | — | 24,785.4 | — |
+| `Modify_sparse` | `size=8` | 92.0 ± 1.2 | — | 496.0 | — |
+| `monocle_sparse` | `size=128` | 4,281.4 ± 34.8 | — | 27,808.2 | — |
+| `monocle_sparse` | `size=2048` | 94,378.5 ± 1,613.7 | — | 523,141.3 | — |
+| `monocle_sparse` | `size=32` | 1,104.9 ± 8.5 | — | 7,032.0 | — |
+| `monocle_sparse` | `size=512` | 29,093.4 ± 401.3 | — | 166,681.6 | — |
+| `monocle_sparse` | `size=8` | 322.3 ± 7.6 | — | 1,952.0 | — |
+| `naive_sparse` | `size=128` | 277.9 ± 4.8 | — | 1,568.0 | — |
+| `naive_sparse` | `size=2048` | 4,417.9 ± 47.3 | — | 24,611.8 | — |
+| `naive_sparse` | `size=32` | 72.6 ± 0.5 | — | 416.0 | — |
+| `naive_sparse` | `size=512` | 1,167.8 ± 13.4 | — | 6,176.3 | — |
+| `naive_sparse` | `size=8` | 20.4 ± 0.3 | — | 128.0 | — |
 
 ## PrismBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `GetOptionAbsent` | `-` | 0.6 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
-| `GetOptionPresent` | `-` | 0.6 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
-| `GetRightAbsent` | `-` | 0.7 ± 0.0 | 0.7 ± 0.0 | 0.0 | 0.0 |
-| `GetRightPresent` | `-` | 2.1 ± 0.1 | 2.2 ± 0.1 | 16.0 | 16.0 |
-| `ReverseGet` | `-` | 2.3 ± 0.1 | 2.3 ± 0.1 | 16.0 | 16.0 |
-| `RightReverseGet` | `-` | 2.3 ± 0.1 | 2.3 ± 0.1 | 16.0 | 16.0 |
+| `GetOptionAbsent` | `-` | 0.7 ± 0.0 | 0.8 ± 0.0 | 0.0 | 0.0 |
+| `GetOptionPresent` | `-` | 0.7 ± 0.0 | 0.8 ± 0.0 | 0.0 | 0.0 |
+| `GetRightAbsent` | `-` | 0.8 ± 0.0 | 0.9 ± 0.0 | 0.0 | 0.0 |
+| `GetRightPresent` | `-` | 2.4 ± 0.0 | 2.5 ± 0.0 | 16.0 | 16.0 |
+| `ReverseGet` | `-` | 2.4 ± 0.0 | 2.4 ± 0.0 | 16.0 | 16.0 |
+| `RightReverseGet` | `-` | 2.4 ± 0.0 | 2.4 ± 0.0 | 16.0 | 16.0 |
 
 ## ReviewBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `ReverseGet_0` | `-` | 2.1 ± 0.1 | — | 24.0 | — |
-| `ReverseGet_3` | `-` | 19.4 ± 0.4 | — | 72.0 | — |
-| `ReverseGet_6` | `-` | 32.3 ± 0.5 | — | 120.0 | — |
-| `naiveBuild_0` | `-` | 2.0 ± 0.0 | — | 24.0 | — |
-| `naiveBuild_3` | `-` | 6.0 ± 0.1 | — | 72.0 | — |
-| `naiveBuild_6` | `-` | 9.8 ± 0.2 | — | 120.0 | — |
+| `ReverseGet_0` | `-` | 3.5 ± 0.0 | — | 24.0 | — |
+| `ReverseGet_3` | `-` | 13.2 ± 0.1 | — | 72.0 | — |
+| `ReverseGet_6` | `-` | 22.7 ± 0.4 | — | 120.0 | — |
+| `naiveBuild_0` | `-` | 3.5 ± 0.0 | — | 24.0 | — |
+| `naiveBuild_3` | `-` | 10.3 ± 0.4 | — | 72.0 | — |
+| `naiveBuild_6` | `-` | 16.7 ± 0.1 | — | 120.0 | — |
 
 ## SchemesBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Ana` | `-` | 83,808.2 ± 2,297.0 | — | 589,712.6 | — |
-| `Cata` | `-` | 66,151.1 ± 1,339.7 | — | 197,568.5 | — |
-| `Hylo` | `-` | 69,268.7 ± 6,246.8 | — | 295,848.5 | — |
-| `drosteAna` | `-` | 47,082.2 ± 3,478.9 | — | 327,632.3 | — |
-| `drosteCata` | `-` | 41,900.7 ± 1,702.7 | — | 164,824.3 | — |
-| `drosteHylo` | `-` | 49,002.3 ± 3,275.8 | — | 328,640.3 | — |
-| `handAna` | `-` | 29,080.8 ± 1,333.6 | — | 163,816.2 | — |
-| `handCata` | `-` | 9,224.0 ± 178.4 | — | 0.1 | — |
-| `handHylo` | `-` | 6,835.2 ± 180.0 | — | 0.0 | — |
+| `Ana` | `-` | 97,638.1 ± 1,816.4 | — | 589,712.7 | — |
+| `Cata` | `-` | 56,898.7 ± 493.8 | — | 197,568.4 | — |
+| `Hylo` | `-` | 66,291.2 ± 853.8 | — | 295,848.5 | — |
+| `drosteAna` | `-` | 51,618.6 ± 441.7 | — | 327,632.4 | — |
+| `drosteCata` | `-` | 31,011.1 ± 162.5 | — | 164,824.2 | — |
+| `drosteHylo` | `-` | 52,346.2 ± 987.2 | — | 328,640.4 | — |
+| `handAna` | `-` | 27,962.2 ± 236.1 | — | 163,816.2 | — |
+| `handCata` | `-` | 12,707.1 ± 130.0 | — | 0.1 | — |
+| `handHylo` | `-` | 10,531.1 ± 379.5 | — | 0.1 | — |
 
 ## SetterBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `Modify_0` | `-` | 2.3 ± 0.2 | 2.2 ± 0.0 | 24.0 | 24.0 |
-| `Modify_3` | `-` | 8.6 ± 0.2 | 21.7 ± 1.0 | 72.0 | 168.0 |
-| `Modify_6` | `-` | 17.9 ± 0.7 | 41.5 ± 1.4 | 120.0 | 288.0 |
-| `Modify_orderId` | `-` | 3.0 ± 0.2 | 3.1 ± 0.4 | 40.0 | 40.0 |
+| `Modify_0` | `-` | 3.4 ± 0.0 | 3.4 ± 0.0 | 24.0 | 24.0 |
+| `Modify_3` | `-` | 11.4 ± 0.1 | 26.6 ± 0.1 | 72.0 | 168.0 |
+| `Modify_6` | `-` | 20.2 ± 0.3 | 49.5 ± 0.4 | 120.0 | 288.0 |
+| `Modify_orderId` | `-` | 5.4 ± 0.1 | 5.4 ± 0.0 | 40.0 | 40.0 |
 
 ## TraversalBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `FoldNested` | `size=512` | 4,042.5 ± 67.8 | — | 20,200.6 | — |
-| `FoldNested` | `size=64` | 465.0 ± 7.9 | — | 2,680.0 | — |
-| `FoldNested` | `size=8` | 40.5 ± 6.1 | — | 360.0 | — |
-| `FoldPrices` | `size=512` | 1,699.9 ± 21.9 | 24,631.9 ± 313.5 | 12,312.3 | 162,563.9 |
-| `FoldPrices` | `size=64` | 149.8 ± 1.6 | 2,184.0 ± 16.8 | 1,560.0 | 15,408.1 |
-| `FoldPrices` | `size=8` | 18.5 ± 0.4 | 265.5 ± 9.4 | 216.0 | 2,000.0 |
-| `Modify` | `size=512` | 6,353.5 ± 104.7 | 28,880.7 ± 400.6 | 36,897.0 | 176,887.0 |
-| `Modify` | `size=64` | 723.0 ± 17.5 | 2,025.0 ± 37.9 | 4,640.0 | 14,408.1 |
-| `Modify` | `size=8` | 77.7 ± 2.6 | 240.9 ± 8.8 | 608.0 | 1,896.0 |
+| `FoldNested` | `size=512` | 4,674.9 ± 52.6 | — | 20,200.7 | — |
+| `FoldNested` | `size=64` | 534.3 ± 9.2 | — | 2,680.0 | — |
+| `FoldNested` | `size=8` | 54.2 ± 6.9 | — | 360.0 | — |
+| `FoldPrices` | `size=512` | 1,986.2 ± 42.9 | 27,737.5 ± 201.9 | 12,312.3 | 162,564.4 |
+| `FoldPrices` | `size=64` | 221.2 ± 4.5 | 2,355.4 ± 9.4 | 1,560.0 | 15,408.1 |
+| `FoldPrices` | `size=8` | 30.1 ± 0.2 | 356.1 ± 4.8 | 216.0 | 2,000.0 |
+| `Modify` | `size=512` | 7,270.3 ± 69.4 | 30,282.1 ± 220.1 | 36,897.2 | 176,888.1 |
+| `Modify` | `size=64` | 815.8 ± 14.2 | 2,192.6 ± 21.4 | 4,640.0 | 14,408.1 |
+| `Modify` | `size=8` | 97.7 ± 2.0 | 309.9 ± 4.6 | 608.0 | 1,896.0 |
 
 ## ZioDiBench
 
 | Benchmark | params | eo ns/op | monocle ns/op | eo B/op | monocle B/op |
 |---|---|---:|---:|---:|---:|
-| `DrillGet` | `-` | 6.5 ± 0.2 | — | 0.0 | — |
-| `DrillModify` | `-` | 76.6 ± 4.8 | — | 472.0 | — |
-| `ServiceGet` | `-` | 3.5 ± 0.1 | — | 0.0 | — |
-| `ServiceReplace` | `-` | 68.8 ± 0.4 | — | 400.0 | — |
-| `handDrillGet` | `-` | 10.7 ± 0.2 | — | 120.0 | — |
-| `handDrillModify` | `-` | 92.5 ± 0.6 | — | 592.0 | — |
-| `handServiceGet` | `-` | 10.3 ± 0.3 | — | 120.0 | — |
-| `handServiceReplace` | `-` | 85.0 ± 5.3 | — | 520.0 | — |
+| `DrillGet` | `-` | 7.4 ± 0.0 | — | 0.0 | — |
+| `DrillModify` | `-` | 86.4 ± 0.9 | — | 472.0 | — |
+| `ServiceGet` | `-` | 4.1 ± 0.0 | — | 0.0 | — |
+| `ServiceReplace` | `-` | 75.3 ± 3.8 | — | 400.0 | — |
+| `handDrillGet` | `-` | 17.5 ± 0.1 | — | 120.0 | — |
+| `handDrillModify` | `-` | 94.3 ± 0.4 | — | 592.0 | — |
+| `handServiceGet` | `-` | 17.5 ± 0.3 | — | 120.0 | — |
+| `handServiceReplace` | `-` | 84.2 ± 0.2 | — | 520.0 | — |
 
diff --git a/CLAUDE.md b/CLAUDE.md
index f8f39344..b1b26934 100644
--- a/CLAUDE.md
+++ b/CLAUDE.md
@@ -3,8 +3,8 @@
 ## Project
 
 `cats-eo` — an Existential Optics library for Scala 3, built on top of
-[cats](https://typelevel.org/cats/). Scala `3.8.3` via sbt `1.12.9`
-(`project/build.properties`), runs on JDK 17, 21, or 25 — but the `kyo` module (and therefore the docs site) needs JDK 25; on older JVMs it drops out of the root aggregate.
+[cats](https://typelevel.org/cats/). Scala `3.9.0` (the `scala3Version` pin in
+`build.sbt`) via sbt `1.13.0` (`project/build.properties`), runs on JDK 17, 21, or 25 — but the `kyo` module (and therefore the docs site) needs JDK 25; on older JVMs it drops out of the root aggregate.
 
 Human contributors: see [`CONTRIBUTING.md`](./CONTRIBUTING.md) for the
 day-one bootstrap. This file is the parallel guide for AI agents.
@@ -44,7 +44,7 @@ curl -fLo /usr/local/bin/cs \
   https://github.com/coursier/coursier/releases/latest/download/cs-x86_64-pc-linux.gz \
   && gunzip -f /usr/local/bin/cs && chmod +x /usr/local/bin/cs
 
-# A recent JVM (sbt 1.12 supports JDK 17 and JDK 21)
+# A recent JVM (the project runs on JDK 17, 21, or 25; `kyo` needs 25)
 cs java --jvm temurin:21 --setup        # writes JAVA_HOME into ~/.profile
 
 # Scala dev tools
@@ -54,10 +54,10 @@ cs install --install-dir /usr/local/bin sbt scala scalafmt scalafix metals metal
 After `cs java --setup`, open a fresh shell (or `source ~/.profile`) so
 `JAVA_HOME` is on your PATH.
 
-Installed versions in this environment: `sbt 1.12.9`, `scala-runner 1.12.4`
-(Scala `3.8.3` by default, matching the project), `scalafmt 3.11.0` (honours
-the `version` pin in `.scalafmt.conf`), `scalafix 0.14.6`, `metals 1.6.7`,
-`metals-mcp 1.6.7`.
+Installed versions in this environment: `sbt 1.12.9` (the launcher script — it
+boots the sbt version pinned in `project/build.properties`), `scala-runner
+1.12.4`, `scalafmt 3.11.0` (honours the `version` pin in `.scalafmt.conf`),
+`scalafix 0.14.6`, `metals 1.6.7`, `metals-mcp 1.6.7`.
 
 ### Day-to-day commands
 
@@ -136,12 +136,12 @@ SBT_OPTS="-Xmx6g" sbt mutationAll
 
 Key facts, all the hard-won kind:
 
-- **Invoke as `project <m>; stryker`, NOT `<m>/stryker`.** The
-  module-scoped task form reads `loadedTestFrameworks` from the
-  aggregating root project (no test deps), so specs2 is invisible and
-  *every* mutant comes back `NoCoverage`. The `mutationAll` alias uses the
+- **Invoke as `project <m>; stryker`** — the `mutationAll` alias uses the
   project-switch form across core, laws, generics, schemes, schemesLaws,
-  circe, avro, jsoniter.
+  circe, avro, jsoniter, zio, kyo. The module-scoped `<m>/stryker` form works
+  again since 0.20.4; before that it resolved `loadedTestFrameworks` from the
+  aggregating root project (no test deps), so specs2 was invisible and
+  *every* mutant came back `NoCoverage`.
 - **It's a report, not a gate** (`strykerThresholdsBreak := 0`): a low
   score never fails the build.
 - **`core` and `laws` are scored against the `tests/` suite via
diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index 9da95010..8ad58947 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -14,9 +14,9 @@ canonical reference and stays current with what CI runs.
 
 In short, you need:
 
-- JDK 17 or JDK 21 (Temurin is fine).
-- `sbt` 1.12.x.
-- Scala 3.8.x (matches `project/build.properties`).
+- JDK 17 or JDK 21 (Temurin is fine) — JDK 25 for the `kyo` module and the docs site.
+- `sbt` 1.13.x (the launcher boots the version pinned in `project/build.properties`).
+- Scala 3.9.x (pinned as `scala3Version` in `build.sbt`).
 - `scalafmt` 3.11.x (honours the pin in `.scalafmt.conf`).
 
 Clone the repo, then optionally enable the project git hooks so your
diff --git a/avro/src/main/scala/dev/constructive/eo/avro/AvroWalk.scala b/avro/src/main/scala/dev/constructive/eo/avro/AvroWalk.scala
index 152d3ccc..0644bb70 100644
--- a/avro/src/main/scala/dev/constructive/eo/avro/AvroWalk.scala
+++ b/avro/src/main/scala/dev/constructive/eo/avro/AvroWalk.scala
@@ -582,7 +582,16 @@ private[avro] object AvroWalk:
                 out(i) = idx
                 loop(i + 1, t, index)
             else
-              val here = if index != null then index else normalisedNameIndex(record)
+              // A `match` on the null sentinel rather than `if index != null`: stryker4s's
+              // `ConditionalExpression` mutant replaces an `if` condition with `true`/`false`, which
+              // would drop the flow narrowing and leave `index` typed `JMap[String, Integer] | Null`,
+              // so `here.get(...)` stops compiling and the mutant dies as a compile error instead of
+              // being exercised (issue #115). A match has no condition to replace. Writing the guard
+              // as `if … then index.nn` fixes the mutant too, but the guard already narrows `index`,
+              // so the compiler reports E216 "Unnecessary .nn" and `-Werror` rejects it.
+              val here: JMap[String, Integer] = index match
+                case null => normalisedNameIndex(record)
+                case m    => m
               val hit = here.get(normalisedName(n))
               // A key present with `Ambiguous` is the same verdict the scan produced on its SECOND
               // hit: more than one schema field normalises to this name, so the signal is no signal.
@@ -646,7 +655,11 @@ private[avro] object AvroWalk:
           val resolved: Integer | Null =
             if exact != null then Integer.valueOf(exact.pos)
             else
-              val here = if index != null then index else normalisedNameIndex(record)
+              // Same explicit-nulls / stryker `ConditionalExpression` hazard as in [[totalNominalIndex]]:
+              // a `match` keeps the null-narrowing unmutatable and the non-null type explicit.
+              val here: JMap[String, Integer] = index match
+                case null => normalisedNameIndex(record)
+                case m    => m
               here.get(normalisedName(n))
           resolved match
             case null =>
diff --git a/build.sbt b/build.sbt
index 4e104af5..cbf57a80 100644
--- a/build.sbt
+++ b/build.sbt
@@ -248,7 +248,7 @@ ThisBuild / githubWorkflowJobSetup ~= { steps =>
     case s: WorkflowStep.Use if s.id.exists(_.startsWith("setup-java-")) =>
       val javaId = s.id.get.stripPrefix("setup-java-")
       val cacheStep = WorkflowStep.Use(
-        UseRef.Public("actions", "cache", "v4"),
+        UseRef.Public("actions", "cache", "v6"),
         params = Map(
           "path" -> Seq(
             "~/.cache/coursier",
@@ -356,7 +356,7 @@ lazy val scalacheck = ScalaCheckOrg %% "scalacheck" % "1.20.0"
 lazy val monocle = Optics %% "monocle-core" % "3.3.0"
 // droste — the recursion-scheme baseline for the schemes benchmarks (pattern
 // functor + Fix encoding). Benchmark-only; never a published dependency.
-lazy val drosteCore = "io.higherkindness" %% "droste-core" % "0.9.0-M3"
+lazy val drosteCore = "io.higherkindness" %% "droste-core" % "0.10.0"
 // kindlings 0.3.x (all three) ship a configurable macro-expansion timeout
 // (`DerivationTimeout`, default 5s) and pull hearth 0.4.2 + kindlings-derivation-commons.
 // We raise it to 30s via `-Xmacro-settings:{circe,cats,avro}Derivation.timeout=30s`
@@ -1176,10 +1176,10 @@ addCommandAlias(
 )
 
 // Mutation testing across the published modules (tests/benchmarks/docs
-// aren't published). Uses the `project <m>; stryker` form, NOT
-// `<m>/stryker`: see the plugins.sbt note — the module-scoped task reads
-// `loadedTestFrameworks` from the empty root project and marks every
-// mutant NoCoverage.
+// aren't published). Uses the `project <m>; stryker` form — the alias
+// switches projects anyway, and the borrowed-tests `set` lines below are
+// expressed against those switches. (The `<m>/stryker` form works too
+// since 0.20.4; see the plugins.sbt note.)
 //
 // The `set` lines borrow the `tests` module's compiled suite into core's
 // and laws' Test scopes so their mutants get killed by the behavioural
diff --git a/core/src/main/scala/dev/constructive/eo/data/Glass.scala b/core/src/main/scala/dev/constructive/eo/data/Glass.scala
new file mode 100644
index 00000000..21a7d61f
--- /dev/null
+++ b/core/src/main/scala/dev/constructive/eo/data/Glass.scala
@@ -0,0 +1,109 @@
+package dev.constructive.eo
+package data
+
+import cats.Representable
+
+/** Standalone prototype of a fixed-index, context-carrying optic. It deliberately does not use
+  * `Optic`, `MultiFocus`, or `AssociativeFunctor`.
+  *
+  * A lawful monomorphic glass is an isomorphism `S <-> (Context, I => A)`: rebuilding a split
+  * recovers the source, and splitting a rebuild recovers the context and the supplied tabulation
+  * pointwise, including tabulations not obtained from a split. Polymorphic glasses require the
+  * corresponding target-side decomposition to state the second law. Context equality, like function
+  * equality, is observational; it need not be Scala `==`.
+  *
+  * Implementations and tabulations must be pure. Composition derives inner contexts lazily at each
+  * outer index, with no enumeration, coordinate comparison, sampling, or memoization. An empty
+  * index is therefore valid. The laws are obligations on constructors, not enforced by this trait's
+  * types.
+  */
+trait IndexedGlass[S, T, A, B, I]:
+  outer =>
+
+  type Context
+
+  def split(s: S): (Context, I => A)
+
+  def rebuild(context: Context, values: I => B): T
+
+  /** Read one coordinate. This is not a single-coordinate setter: arbitrary indexes do not come
+    * with a notion of coordinate equality.
+    */
+  def at(i: I): S => A = s => split(s)._2(i)
+
+  /** Rewrite every coordinate, preserving the context returned by this source's split. */
+  def modify(f: (I, A) => B): S => T = s =>
+    val (context, values) = split(s)
+    rebuild(context, i => f(i, values(i)))
+
+  /** Broadcast to the whole index space, including every coordinate of a composed grid. */
+  def replace(value: B): S => T = s =>
+    val (context, _) = split(s)
+    rebuild(context, _ => value)
+
+  /** Full-grid composition. Index and context reassociation, rather than literal type equality,
+    * relate the two groupings of a three-level composition. Unit axes are not normalized away.
+    *
+    * Round-trip proof for lawful monomorphic components: write `outer.split(s) = (x, a)` and
+    * `inner.split(a(i)) = (y(i), c(i))`. Rebuilding the split gives
+    * `outer.rebuild(x, i => inner.rebuild(y(i), c(i))) = outer.rebuild(x, a) = s`. Conversely, for
+    * ANY `(x, y)` and grid `w`, rebuilding uses rows `b(i) = inner.rebuild(y(i), j => w((i, j)))`.
+    * The outer law recovers `(x, b)`; the inner law recovers `(y(i), j => w((i, j)))` at every `i`,
+    * so the composite recovers `((x, y), w)`. No context obtained from an earlier grid is cached.
+    * Both three-level groupings rebuild as
+    * `outer.rebuild(x, i => middle.rebuild(y(i), j => inner.rebuild(z(i,j), k => w(i,j,k))))`;
+    * their splits recover the same three contexts and focus pointwise after reassociation. The same
+    * argument applies to paired source/target algebras for polymorphic composition.
+    */
+  def andThen[C, D, J](
+      inner: IndexedGlass[A, B, C, D, J]
+  ): IndexedGlass.Aux[S, T, C, D, (I, J), (outer.Context, I => inner.Context)] =
+    new IndexedGlass[S, T, C, D, (I, J)]:
+      type Context = (outer.Context, I => inner.Context)
+
+      def split(s: S): (Context, ((I, J)) => C) =
+        val (context, values) = outer.split(s)
+        val rows: I => (inner.Context, J => C) = i => inner.split(values(i))
+        ((context, i => rows(i)._1), ij => rows(ij._1)._2(ij._2))
+
+      def rebuild(context: Context, values: ((I, J)) => D): T =
+        outer.rebuild(context._1, i => inner.rebuild(context._2(i), j => values((i, j))))
+
+object IndexedGlass:
+
+  type Aux[S, T, A, B, I, X] = IndexedGlass[S, T, A, B, I] { type Context = X }
+
+  /** The context-free specialization. Generic `andThen` retains its product context even when both
+    * inputs have Unit context; no context-erasing coercion is installed in this prototype.
+    * Context-sensitive collection/zip operations are deliberately absent from the general API.
+    */
+  type Grate[S, T, A, B, I] = Aux[S, T, A, B, I, Unit]
+
+  /** User-written split/rebuild algebra. The caller is responsible for the laws above. */
+  def apply[S, T, A, B, I, X](decompose: S => (X, I => A))(
+      assemble: (X, I => B) => T,
+  ): Aux[S, T, A, B, I, X] =
+    new IndexedGlass[S, T, A, B, I]:
+      type Context = X
+      def split(s: S): (X, I => A) = decompose(s)
+      def rebuild(context: X, values: I => B): T = assemble(context, values)
+
+  /** A cats Representable supplies precisely the two inverse tabulation operations needed here.
+    * Passed explicitly so its path-dependent Representation is retained without another given.
+    */
+  def representable[F[_], A, B](r: Representable[F]): Grate[F[A], F[B], A, B, r.Representation] =
+    IndexedGlass[F[A], F[B], A, B, r.Representation, Unit](s => ((), r.index(s)))((_, values) =>
+      r.tabulate(values),
+    )
+
+  /** An Iso has one coordinate, not a broadcast over an arbitrary (possibly empty) index. The
+    * functions must be inverse in the monomorphic case, or have matching target-side inverses in
+    * the polymorphic case.
+    */
+  def iso[S, T, A, B](forward: S => A)(backward: B => T): Grate[S, T, A, B, Unit] =
+    IndexedGlass[S, T, A, B, Unit, Unit](s => ((), _ => forward(s)))((_, values) =>
+      backward(values(())),
+    )
+
+  /** Identity algebra on a single Unit coordinate, including type-changing writes. */
+  def unit[A, B]: Grate[A, B, A, B, Unit] = iso[A, B, A, B](identity)(identity)
diff --git a/core/src/main/scala/dev/constructive/eo/data/MultiFocus.scala b/core/src/main/scala/dev/constructive/eo/data/MultiFocus.scala
index 0302f9bd..1f9b91c5 100644
--- a/core/src/main/scala/dev/constructive/eo/data/MultiFocus.scala
+++ b/core/src/main/scala/dev/constructive/eo/data/MultiFocus.scala
@@ -67,22 +67,20 @@ private[eo] trait MultiFocusSingleton[S, T, A, B, X0]:
     ysBuf.unsafeAppend(x)
     flatBuf.unsafeAppend(a)
 
-/** Stand-in for a value of a type that the `Function1` kernel never lets anyone observe. Two call
-  * sites need one, and both stand in for an **existential leftover the write path discards** rather
-  * than for something anyone could have computed:
+/** Stand-in for a value of a type that the `Function1` kernel never lets anyone observe. The one
+  * call site stands in for an **existential leftover the write path discards**:
   *
   *   - the **inner optic's leftover** in `mfAssocFunction1` — the kernel threads the OUTER's
   *     leftover through `Z`, so the inner's has no producer on the write path; every shipped
   *     `MultiFocus[Function1]` optic ignores its leftover on the write side, which is what makes
   *     that direction bundle-level.
-  *   - the **optic's own leftover** in `collectList` — the aggregation builds a fresh singleton
-  *     `List(b)` and never sees the leftover it discards.
   *
-  * Neither is an **index**: an index into a broadcast bundle is now a real value, supplied by
+  * It is not an **index**: an index into a broadcast bundle is a real value, supplied by
   * [[RepresentativeIndex]] and stored on [[Function1BroadcastOptic]], because that read *is*
   * observable and the index has to come from somewhere. What is left here is per-position data
   * whose only producer is the read side — an index witness cannot stand in for it, and neither can
-  * any single value, since a leftover may differ at every index.
+  * any single value, since a leftover may differ at every index. (`.collectList` does NOT need a
+  * stand-in: it hands `from` the leftover its own read produced — see that extension.)
   *
   * `inline` is load-bearing: `null.asInstanceOf[Int]` is `0` at a call site with a primitive
   * leftover type, while a non-inlined generic method would box and unbox the `null` into an NPE.
@@ -591,21 +589,29 @@ object MultiFocusK:
   // picks (see the carrier doc above).
   // ------------------------------------------------------------------
 
-  /** Singleton / cartesian aggregation, List-specific — collapses the whole focus list to ONE
-    * aggregated element: the result list has length 1 regardless of the focus count.
-    * Shape-changing, which is exactly what no `Functor`-based combinator can express; the
+  /** Singleton / cartesian aggregation, List-specific — passes `List(agg(bundle.foci))` to
+    * reconstruction with the context preserved from the read. The supplied focus vector has length
+    * 1 regardless of the original focus count; the reconstructed source need not.
+    *
+    * The generic [[apply]] / [[pApply]] List factories rebuild by identity, so their output is a
+    * singleton. Other reconstructions may retain structure: an empty composite can rebuild `Nil`,
+    * and a Prism miss stays unchanged while a hit rebuilds around the singleton focus vector. The
+    * `S =:= List[A]` / `T =:= List[B]` constraints do not guarantee singleton output.
+    *
+    * This changes the focus vector's shape, which no `Functor`-based combinator can express; the
     * length-preserving alternatives are [[collectMap]] / [[collectWith]].
     */
   extension [S, T, A, B](o: Optic[S, T, A, B, MultiFocus[List]])
 
     def collectList(agg: List[A] => B)(using ev: S =:= List[A], ev2: T =:= List[B]): S => T =
       val _ = (ev, ev2)
-      // Cartesian / singleton — T = List[B] preserved via List(b). The leftover is not threaded by
-      // this aggregation (the rebuilt optic ignores it); see [[unobserved]].
+      // Cartesian / singleton — T = List[B] preserved via List(b). The collapse replaces the whole
+      // focus vector, so no *new* leftover can be derived for it; the one the read produced is the
+      // right thing to hand back, and it is the only thing that works for an optic whose `from`
+      // reads its own leftover.
       (s: S) =>
-        val (_, fa) = o.to(s)
-        val b: B = agg(fa)
-        o.from((unobserved[o.X], List(b)))
+        val bundle = o.to(s)
+        o.from((bundle.context, List(agg(bundle.foci))))
 
   /** Functor-broadcast aggregation — preserves F-shape via `map(_ => agg(fa))`; every focus
     * position receives the aggregate. Works for any `Functor[F]`; for List this is the
diff --git a/core/src/test/scala/dev/constructive/eo/GlassSpec.scala b/core/src/test/scala/dev/constructive/eo/GlassSpec.scala
new file mode 100644
index 00000000..39c924cb
--- /dev/null
+++ b/core/src/test/scala/dev/constructive/eo/GlassSpec.scala
@@ -0,0 +1,303 @@
+package dev.constructive.eo
+
+import scala.compiletime.testing.typeChecks
+
+import cats.instances.function.given
+import cats.{Functor, Representable}
+import org.scalacheck.Cogen
+import org.scalacheck.Prop.forAll
+import org.specs2.ScalaCheck
+import org.specs2.mutable.Specification
+
+import data.IndexedGlass
+
+object GlassFixtures:
+  type Pair[A] = (A, A)
+  type Tagged[A] = (String, Pair[A])
+
+  val pairRepresentation: Representable.Aux[Pair, Boolean] = new Representable[Pair]:
+    type Representation = Boolean
+    def F: Functor[Pair] = new Functor[Pair]:
+      def map[A, B](fa: Pair[A])(f: A => B): Pair[B] = (f(fa._1), f(fa._2))
+    def index[A](fa: Pair[A]): Boolean => A = i => if i then fa._2 else fa._1
+    def tabulate[A](f: Boolean => A): Pair[A] = (f(false), f(true))
+
+  def pair[A, B]: IndexedGlass.Grate[Pair[A], Pair[B], A, B, Boolean] =
+    IndexedGlass.representable[Pair, A, B](pairRepresentation)
+
+  def tagged[A, B]: IndexedGlass.Aux[Tagged[A], Tagged[B], A, B, Boolean, String] =
+    IndexedGlass[Tagged[A], Tagged[B], A, B, Boolean, String](s =>
+      (s._1, pairRepresentation.index(s._2)),
+    )((context, values) => (context, pairRepresentation.tabulate(values)))
+
+  enum Slot:
+    case First, Second, Third
+
+  given Cogen[Slot] = Cogen[Int].contramap(_.ordinal)
+
+  case class Tri[A](a: A, b: A, c: A)
+
+  val permutedRepresentation: Representable.Aux[Tri, Slot] = new Representable[Tri]:
+    type Representation = Slot
+    def F: Functor[Tri] = new Functor[Tri]:
+      def map[A, B](fa: Tri[A])(f: A => B): Tri[B] = Tri(f(fa.a), f(fa.b), f(fa.c))
+    def index[A](fa: Tri[A]): Slot => A =
+      case Slot.First  => fa.c
+      case Slot.Second => fa.a
+      case Slot.Third  => fa.b
+    def tabulate[A](f: Slot => A): Tri[A] = Tri(f(Slot.Second), f(Slot.Third), f(Slot.First))
+
+/** Executable laws for the standalone prototype. Generated functions are user-written tabulations,
+  * not functions extracted from a split. Function/context equality is checked pointwise; the
+  * Boolean grids and Slot domain are enumerated completely. Infinite/Double domains can only be
+  * probed finitely here and remain an equational proof obligation.
+  */
+class GlassSpec extends Specification with ScalaCheck:
+  import GlassFixtures.*
+
+  private val bits = List(false, true)
+  private val grid = for i <- bits; j <- bits yield (i, j)
+  private val cube = for i <- bits; j <- bits; k <- bits yield (i, j, k)
+
+  private def agrees[I, A](actual: I => A, expected: I => A, indexes: List[I]): Boolean =
+    indexes.forall(i => actual(i) == expected(i))
+
+  "Representable: both round trips on arbitrary tabulations, identity and indexed modification composition" >> {
+    val g = pair[Int, Int]
+    forAll { (a: Int, b: Int, written: Boolean => Int) =>
+      val source = (a, b)
+      val (context, values) = g.split(source)
+      val (newContext, readBack) = g.split(g.rebuild((), written))
+      val first: (Boolean, Int) => Int = (i, n) => if i then n + 3 else n - 1
+      val second: (Boolean, Int) => Int = (i, n) => if i then n * 2 else -n
+      g.rebuild(context, values) == source &&
+      newContext == () && agrees(readBack, written, bits) &&
+      g.modify((_, n) => n)(source) == source &&
+      g.modify(second)(g.modify(first)(source)) ==
+        g.modify((i, n) => second(i, first(i, n)))(source)
+    }
+  }
+
+  "Nested pair composition reads and replaces the full grid, NOT the legacy diagonal" >> {
+    val g = pair[Pair[Int], Pair[Int]].andThen(pair[Int, Int])
+    val source = ((1, 2), (3, 4))
+    val (context, values) = g.split(source)
+    val expectedRead: ((Boolean, Boolean)) => Int = ij =>
+      val row = if ij._1 then source._2 else source._1
+      if ij._2 then row._2 else row._1
+    agrees(values, expectedRead, grid) must beTrue
+    g.rebuild(context, values) must beEqualTo(source)
+    g.modify((_, n) => n)(source) must beEqualTo(source)
+    g.replace(9)(source) must beEqualTo(((9, 9), (9, 9)))
+    g.replace(9)(source) must not(beEqualTo(((9, 2), (3, 9))))
+    g.at((false, true))(source) must beEqualTo(2)
+    g.at((true, false))(source) must beEqualTo(3)
+    g.modify((ij, n) => n + (if ij._1 then 100 else 0) + (if ij._2 then 10 else 0))(
+      source
+    ) must beEqualTo(
+      ((1, 12), (103, 114)),
+    )
+  }
+
+  "Full-grid split after rebuild accepts arbitrary writes rather than only a split's own values" >> {
+    val g = pair[Pair[Int], Pair[Int]].andThen(pair[Int, Int])
+    forAll { (a: Int, b: Int, c: Int, d: Int, written: ((Boolean, Boolean)) => Int) =>
+      val source = ((a, b), (c, d))
+      val (context, values) = g.split(source)
+      val (afterContext, afterValues) = g.split(g.rebuild(context, written))
+      g.rebuild(context, values) == source &&
+      afterContext._1 == context._1 && bits.forall(i => afterContext._2(i) == context._2(i)) &&
+      agrees(afterValues, written, grid) &&
+      g.rebuild(context, written) ==
+        (
+          (written((false, false)), written((false, true))),
+          (written((true, false)), written((true, true)))
+        )
+    }
+  }
+
+  "User-defined contexts survive both round trips, including arbitrary contexts and grids" >> {
+    val g = tagged[Tagged[Int], Tagged[Int]].andThen(tagged[Int, Int])
+    forAll {
+      (outerTag: String, innerTags: Boolean => String, written: ((Boolean, Boolean)) => Int) =>
+        val context: g.Context = (outerTag, innerTags)
+        val expected: Tagged[Tagged[Int]] =
+          (
+            outerTag,
+            (
+              (innerTags(false), (written((false, false)), written((false, true)))),
+              (innerTags(true), (written((true, false)), written((true, true))))
+            )
+          )
+        val built = g.rebuild(context, written)
+        val (afterContext, afterValues) = g.split(built)
+        val (sourceContext, sourceValues) = g.split(expected)
+        built == expected && g.rebuild(sourceContext, sourceValues) == expected &&
+        afterContext._1 == outerTag && agrees(afterContext._2, innerTags, bits) &&
+        agrees(afterValues, written, grid)
+    }
+  }
+
+  "Three-level associativity re-associates indexes AND non-Unit contexts on arbitrary writes" >> {
+    val outer = tagged[Tagged[Tagged[Int]], Tagged[Tagged[Int]]]
+    val middle = tagged[Tagged[Int], Tagged[Int]]
+    val inner = tagged[Int, Int]
+    val left = outer.andThen(middle).andThen(inner)
+    val right = outer.andThen(middle.andThen(inner))
+    forAll {
+      (
+          root: String,
+          rows: Boolean => String,
+          cells: ((Boolean, Boolean)) => String,
+          written: ((Boolean, Boolean, Boolean)) => Int
+      ) =>
+        val leftContext: left.Context = ((root, rows), cells)
+        val rightContext: right.Context = (root, i => (rows(i), j => cells((i, j))))
+        val leftValues: (((Boolean, Boolean), Boolean)) => Int =
+          ijk => written((ijk._1._1, ijk._1._2, ijk._2))
+        val rightValues: ((Boolean, (Boolean, Boolean))) => Int =
+          ijk => written((ijk._1, ijk._2._1, ijk._2._2))
+        val builtLeft = left.rebuild(leftContext, leftValues)
+        val builtRight = right.rebuild(rightContext, rightValues)
+        val (lc, lv) = left.split(builtLeft)
+        val (rc, rv) = right.split(builtRight)
+        builtLeft == builtRight && left.rebuild(lc, lv) == builtLeft &&
+        right.rebuild(rc, rv) == builtRight &&
+        lc._1._1 == root && rc._1 == root &&
+        bits.forall(i => lc._1._2(i) == rows(i) && rc._2(i)._1 == rows(i)) &&
+        grid.forall(ij => lc._2(ij) == cells(ij) && rc._2(ij._1)._2(ij._2) == cells(ij)) &&
+        cube.forall {
+          case (i, j, k) =>
+            lv(((i, j), k)) == written((i, j, k)) && rv((i, (j, k))) == written((i, j, k))
+        } &&
+        left.modify((_, n) => n + 1)(builtLeft) == right.modify((_, n) => n + 1)(builtRight) &&
+        left.replace(9)(builtLeft) == right.replace(9)(builtRight)
+    }
+  }
+
+  "Type-changing intermediate and final writes are full-grid and route/grouping independent" >> {
+    val outer = pair[Pair[Int], Pair[String]]
+    val inner = pair[Int, String]
+    val toStringFocus = IndexedGlass.iso[Int, String, Int, Long](identity)(_.toString)
+    val left = outer.andThen(inner).andThen(toStringFocus)
+    val right = outer.andThen(inner.andThen(toStringFocus))
+    // A non-inline generic helper has no same-focus evidence, and needs none.
+    def compose[S, T, A, B, C, D, I, J](
+        o: IndexedGlass[S, T, A, B, I],
+        in: IndexedGlass[A, B, C, D, J],
+    ) = o.andThen(in)
+    val generic = compose(outer, inner)
+    val source = ((1, 2), (3, 4))
+    val expected = (("11", "12"), ("13", "14"))
+    left.modify((_, n) => n.toLong + 10)(source) must beEqualTo(expected)
+    right.modify((_, n) => n.toLong + 10)(source) must beEqualTo(expected)
+    generic.modify((_, n) => (n + 10).toString)(source) must beEqualTo(expected)
+    // The polymorphic round trip is stated with the matching target-side split.
+    val polymorphic = outer.andThen(inner)
+    val (context, _) = polymorphic.split(source)
+    val written: ((Boolean, Boolean)) => String = ij => s"${ij._1}/${ij._2}"
+    val rebuilt = polymorphic.rebuild(context, written)
+    val target = pair[Pair[String], Pair[String]].andThen(pair[String, String])
+    agrees(target.split(rebuilt)._2, written, grid) must beTrue
+  }
+
+  "Representable keeps a permuted index order, including when nested" >> {
+    val g = IndexedGlass.representable[Tri, Int, Int](permutedRepresentation)
+    val nested = IndexedGlass
+      .representable[Tri, Pair[Int], Pair[Int]](permutedRepresentation)
+      .andThen(pair[Int, Int])
+    forAll { (a: Int, b: Int, c: Int, written: Slot => Int) =>
+      val source = Tri(a, b, c)
+      val (context, values) = g.split(source)
+      val rebuilt = g.rebuild((), written)
+      g.rebuild(context, values) == source &&
+      agrees(g.split(rebuilt)._2, written, Slot.values.toList) &&
+      rebuilt == Tri(written(Slot.Second), written(Slot.Third), written(Slot.First)) &&
+      nested.at((Slot.First, false))(Tri((a, b), (b, c), (c, a))) == c
+    }
+  }
+
+  "Iso and Unit specializations have one coordinate and compose in either direction" >> {
+    val single = IndexedGlass.unit[Int, Int]
+    val iso = IndexedGlass.iso[(String, Int), (String, Int), (Int, String), (Int, String)](s =>
+      (s._2, s._1),
+    )(a => (a._2, a._1))
+    val source = ("kept", 2)
+    val (context, values) = iso.split(source)
+    iso.rebuild(context, values) must beEqualTo(source)
+    val userWrite: Unit => (Int, String) = _ => (9, "new")
+    iso.split(iso.rebuild((), userWrite))._2(()) must beEqualTo(userWrite(()))
+    single.at(())(3) must beEqualTo(3)
+    single.rebuild((), _ => 9) must beEqualTo(9)
+    pair[Int, Int].andThen(single).modify((_, n) => n + 1)((1, 2)) must beEqualTo((2, 3))
+    IndexedGlass
+      .unit[Pair[Int], Pair[Int]]
+      .andThen(pair[Int, Int])
+      .modify((_, n) => n + 1)((1, 2)) must beEqualTo((2, 3))
+    typeChecks("""
+      import dev.constructive.eo.data.IndexedGlass
+      val g: IndexedGlass.Grate[Int, String, Int, String, Unit] = IndexedGlass.unit[Int, String]
+      val result: String = g.replace("ok")(1)
+    """) must beTrue
+  }
+
+  "Empty and singleton index spaces require no inhabitant or representative witness" >> {
+    type Empty[A] = Nothing => A
+    type Single[A] = Unit => A
+    val empty = IndexedGlass.representable[Empty, Int, Int](summon[Representable[Empty]])
+    val single = IndexedGlass.representable[Single, Int, Int](summon[Representable[Single]])
+    val source: Empty[Int] = identity[Nothing]
+    val written: Empty[Int] = identity[Nothing]
+    val (context, values) = empty.split(source)
+    // All functions from Nothing are extensionally equal: there is no coordinate to probe.
+    val recovered: Empty[Int] = empty.rebuild(context, values)
+    val rewritten: Empty[Int] = empty.replace(9)(recovered)
+    val splitAgain = empty.split(empty.rebuild((), written))
+    splitAgain._1 must beEqualTo(())
+    val emptyInner = pair[Empty[Int], Empty[Int]].andThen(empty)
+    val emptyOuter = IndexedGlass
+      .representable[Empty, Pair[Int], Pair[Int]](summon[Representable[Empty]])
+      .andThen(pair[Int, Int])
+    emptyInner.split(emptyInner.replace(9)((source, rewritten)))._1._1 must beEqualTo(())
+    emptyOuter.split(emptyOuter.modify((_, n) => n)(identity[Nothing]))._1._1 must beEqualTo(())
+    val fn: Unit => Int = _ => 42
+    val (sc, sv) = single.split(fn)
+    single.rebuild(sc, sv)(()) must beEqualTo(42)
+    single.split(single.rebuild((), _ => 9))._2(()) must beEqualTo(9)
+    single.andThen(IndexedGlass.unit[Int, Int]).at(((), ()))(fn) must beEqualTo(42)
+  }
+
+  "Double indexes preserve NaN and signed-zero observations with no coordinate-equality machinery" >> {
+    type Doubles[A] = Double => A
+    val g = IndexedGlass.representable[Doubles, Int, Int](summon[Representable[Doubles]])
+    val nested = IndexedGlass
+      .representable[Doubles, Doubles[Int], Doubles[Int]](
+        summon[Representable[Doubles]],
+      )
+      .andThen(g)
+    val probes = List(Double.NaN, -0.0, 0.0, 1.0, Double.PositiveInfinity)
+    // Bit observations belong to this USER function, not the optic or its addressing protocol.
+    val classify: Double => Int = d =>
+      if d.isNaN then 7
+      else if java.lang.Double.doubleToRawLongBits(d) == Long.MinValue then 11
+      else if d == 0.0 then 13
+      else 17
+    val source: Double => Int = classify
+    val (context, values) = g.split(source)
+    agrees(g.rebuild(context, values), source, probes) must beTrue
+    agrees(g.split(g.rebuild((), classify))._2, classify, probes) must beTrue
+    val full: ((Double, Double)) => Int = ij => 100 * classify(ij._1) + classify(ij._2)
+    val fn: Double => Double => Int = i => j => full((i, j))
+    val (nc, nv) = nested.split(fn)
+    val rewritten = nested.rebuild(nc, full)
+    probes.forall(i =>
+      probes.forall(j =>
+        nv((i, j)) == full((i, j)) && rewritten(i)(j) == full((i, j)) &&
+          nested.modify((_, n) => n)(fn)(i)(j) == fn(i)(j) &&
+          nested.replace(9)(fn)(i)(j) == 9,
+      )
+    ) must beTrue
+    nested.at((-0.0, 0.0))(fn) must beEqualTo(1113)
+    nested.at((0.0, -0.0))(fn) must beEqualTo(1311)
+    nested.at((Double.NaN, Double.NaN))(fn) must beEqualTo(707)
+  }
diff --git a/docs/research/2026-09-30-grate-broadcast-constancy.md b/docs/research/2026-09-30-grate-broadcast-constancy.md
new file mode 100644
index 00000000..63149953
--- /dev/null
+++ b/docs/research/2026-09-30-grate-broadcast-constancy.md
@@ -0,0 +1,456 @@
+# Grate constancy: index-free vs tabulating bundles — spike
+
+> [!IMPORTANT]
+> **SUPERSEDED** (2026-10-05). The sum-typed-bundle + `Optic.SameFocus` design described here
+> does not land: a second review round showed the witness makes behaviour route-dependent (a
+> non-inline generic helper or `dimap` wrapper loses the `C =:= D` evidence) and that the
+> diagonal restore addresses positions with `==`, which is not a coordinate identity for `Double`
+> (a write at `NaN` is silently dropped; signed zeros collide). All four root problems —
+> diagonal read, erased evidence, observable grouping, index equality — trace to the carrier
+> sharing one index type between nested optics, and none is fixable inside it. The decision and
+> the replacement design (product-indexed `IndexedGlass`, full-grid composition) are in
+> [`2026-10-05-multifocus-redesign.md`](./2026-10-05-multifocus-redesign.md). What survives from
+> this spike is the variable-shape side: the `collectList` real-context fix and the
+> cross-family runtime battery, which shipped without any of the grate machinery.
+
+Branch: `spike/grate-broadcast-sum`, a single commit on `origin/main` @
+52671355 (the commit that landed the *optic-class* answer: `Z = Xo`,
+`Function1BroadcastOptic`, `RepresentativeIndex`, and the positional
+write). This branch adds the *sum-typed bundle* answer on top and keeps
+main's machinery where it is better: the broadcast class stays as the
+kernel's per-index write hook and the bridge keeps its
+`RepresentativeIndex` witness, so **`unobserved` is gone entirely**: the
+collapsing `List` aggregate hands the write the leftover its own read
+produced, and nothing in the Grate surface forges an index or anything
+else. Prototype + tests + measurements for the constancy question on
+`MultiFocus[Function1[X0, *]]`.
+
+Gates on the rebased tree (sbt 1.13.0, JDK 25 Temurin 25.0.4.1): root
+`test` 237 examples / 0 failures; `core/test` 32 specs, including
+**main's own F1 spec unchanged** (14 examples / 349 expectations — its
+positional `grate ∘ iso`, diagonal-read and witness blocks all pass
+against this branch's kernel) plus this branch's 12 blocks / 903
+expectations; `scalafmtCheckAll`, `scalafixAll --check`,
+`scalafmtSbtCheck`, `benchmarks/scalafmtCheck`, `mimaReportBinaryIssues`,
+`githubWorkflowCheck`, `docs/mdoc` (0 errors), `docs/laikaSite`,
+`core/doc`.
+
+## 1. The question
+
+Two shapes of optic meet on one carrier type, and the type does not say
+which is which:
+
+- a **broadcast** optic holds one focus and reads it at whatever index
+  you like — every optic built by `forgetful2multifocusFunction1` (the
+  Iso shim), and any composite whose outer is one;
+- a **tabulating** optic reads a real position — `MultiFocus.tuple`,
+  `representable` (`representableAt` was retired upstream while this
+  branch was rebased; nothing here depended on it).
+
+`mfAssocFunction1` therefore has to choose a read and a write shape per
+side. Upstream (`52671355`) answered that with an optic-level class plus a
+witness index for the one read that genuinely needs an index, which fixes
+`grate ∘ iso` and the tabulating read. This branch answers the *remaining*
+gap with data: a bundle says whether the value it holds needs an index at
+all. (Before that upstream commit, the kernel sampled the shape, which is
+how the older numbers in §6 were produced: main sampled
+the outer's read at `null.asInstanceOf[X0]` in `composeTo`
+(`kO(null)`) and collapsed every write through `inner.from((null, kD))`
++ `outer.from((null, _ => b))`. Two consequences were observable at a
+composite's boundary (both reproduced as failing tests on main, see
+§4): `tuple.andThen(<iso shim>).modify` wrote slot 0's value to every
+slot, and any composite whose *own* outer read positionally sampled
+index 0 instead of the position it was reading.
+
+Two ways to fix it:
+
+| | constancy lives in | visible to | survives a composite |
+|---|---|---|---|
+| optic-class witness (the `fix/grate-positional-composition` baseline) | the optic object, via a `Function1BroadcastOptic` class + a `broadcastFrom` write hook | `composeFrom`'s pattern match | yes — the *function value* carries the shape upward; the class is re-tested per composition level |
+| sum-typed bundle (this branch) | the bundle, as `Broadcast(a, lifted) \| F[A]` | any consumer of the bundle | yes — a composite's read/write shape is recomputed from data, not from a class |
+
+## 2. Design as shipped on this branch
+
+```scala
+private[eo] type Focus[F[_], A] = F[A] | Broadcast[F, A]   // the sum
+private[eo] final class Broadcast[F[_], A](val value: A, val lifted: F[A])
+opaque type MultiFocusK[F[_], X, A] = (X, Focus[F, A])
+```
+
+- **The sum hides inside the opaque.** The public shape is unchanged:
+  `MultiFocus(x, fa)` builds a plain half, `to: S => (X, …)`-style
+  impls still build pairs, `.context` is still identity. The two sum
+  cases are `private[eo]`, so user code can neither name them nor hold
+  a `Broadcast` as data — which matters, because the carrier classifies
+  a half by testing for that class (a user focus whose type was
+  `Broadcast`, or `Any` holding one, would otherwise be mis-read).
+- **`.foci: F[A]` stays total** by carrying the lifted `F[A]` in the
+  broadcast case (for `Function1`, the constant `_ => value`). No
+  `Pointed`-shaped constraint, no signature change — that is the whole
+  reason `lifted` exists. Cost: one small object per broadcast bundle.
+  `value` and `lifted` are built from one value by every producer, and
+  `map` keeps them together up to the purity of the mapping function.
+- **`.broadcast: Option[A]` is new** — the observable half of the
+  design. `Some(a)` marks an index-free bundle, `None` a tabulation.
+- **`MultiFocus.broadcast[X0, X, A](x, a)` is new** — the constructor
+  for an index-free bundle, for optics that broadcast without an Iso.
+  Together with `.broadcast` it is the *entire* public surface of the
+  sum.
+- **main's class and witness are kept.** `Function1BroadcastOptic` stays as the kernel's
+  per-index write hook for the broadcast inner (one value per position, no
+  bundle read it did not build), and `forgetful2multifocusFunction1` still
+  takes a `RepresentativeIndex[X0]`. The sum and the class answer different
+  questions — the class says *this optic writes one value*, the bundle says
+  *this value is index-free* — and where they overlap the kernel prefers the
+  bundle (so the index-free shape is what travels upward), falling back to
+  the class hook inside the tabulating branch, where it needs no per-position
+  read.
+- **`mfAssocFunction1`** branches on the bundle:
+  - read: index-free outer → one `inner.to(value)` call (the composite
+    inherits the inner's half); tabulating outer → `i =>
+    inner.to(readAt(outer, i))` read at `i`.
+  - write: `Z = AssocF1Z[X0, Xo, Xi](xo, innerPlan)` where `innerPlan`
+    is `Left(xi)` for an index-free read and `Right(innerReads)` for a
+    tabulating one — *the inner reads the read actually observed* (per
+    index: leftover, read bundle, shape). `composeFrom` replays them:
+    one collapsed `inner.from((xi, bundle))` handed back as a
+    `Broadcast` half when the read was index-free, or one
+    `inner.from((xiAt(i), Broadcast(writeAt(i))))` per position when it
+    was tabulating.
+    Recording the observed leftovers is load-bearing, not bookkeeping:
+    composition is associative, so a composite is itself an inner whose
+    `from` reads its own `AssocF1Z` back — supplying anything else (the
+    pre-sum kernel supplied `unobserved[Xi]`) is an NPE on entirely
+    shipped factories, `iso.andThen(iso.andThen(iso)).modify(_ + 1)`.
+    `mfAssoc` and `mfAssocPSVec` record per-element inner leftovers for
+    the same reason.
+  - **tabulating ∘ tabulating, stable focus** — the composite reads one
+    position per index (the shared index set makes the two sides advance
+    together), so its read is not a bijection: each inner structure's
+    off-diagonal is not in the composite's focus vector, and the plain
+    bundle-only write cannot put it back (there is no `C => D`).
+    the stability fact is a property of the *optic*, so it rides on the
+    optic: `Optic.SameFocus` (`sameFocus: Option[C =:= D]`) is mixed into
+    every `andThen` composite from that call site's `C =:= D`
+    (`summonFrom`) and into the monomorphic factories
+    (`representable` / `tuple` / `apply`) with `Some(…)` directly. The
+    kernel reads it off the `inner` it is already handed and writes the
+    *exact inverse* of its diagonal read — every position keeps what it
+    was read at, and only the addressed position takes the new value. For
+    a type-changing write (`C =/= D`) it is `None`, the kernel keeps the
+    documented per-position value write, and that boundary is pinned by a
+    test. An earlier cut put this on the composition algebra
+    (`AssociativeFunctor.composeFromSameFocus`, with the hint threaded
+    through `Optic.andThen`); review pointed out that one carrier's fact
+    does not belong in every carrier's contract, and the optic-level
+    witness is also the idiom upstream established with
+    `Function1BroadcastOptic`.
+- **No stand-in values at all.** Every write is handed what its own read produced: the kernel
+  records the inner leftovers it observed (`AssocF1Z.innerPlan`), the bridge takes a
+  `RepresentativeIndex`, and the collapsing `List` aggregate passes the read's own leftover
+  (`o.from((bundle.context, List(agg(bundle.foci))))`). The `unobserved[A] = null.asInstanceOf[A]`
+  helper is deleted — its three historical sites (the inner's leftover, the bridge's index, the
+  aggregate's leftover) are all fixed at the source rather than patched at the call site.
+
+## 3. What is left over `52671355` (the residual)
+
+Upstream already fixed the positional read (`kO(i)` per index), the
+per-index write for the broadcast class, the outer-leftover threading and
+the forged index. What this branch still adds, each with a probe or a
+green test above:
+
+1. **Tabulating ∘ tabulating is lawful.** `tuple ∘ tuple` reads one
+   position per index, so its read is a diagonal; upstream writes one
+   collapsed row for it (`modify(identity)` → `((1,4),(1,4))`),
+   `replace(9)` → `((9,9),(9,9))`). Here the write is the exact inverse of
+   the read whenever the inner optic carries `Optic.SameFocus` (every
+   monomorphic factory and every `andThen` composite whose focus types
+   coincide do), so `modify(identity)` is the identity,
+   `modify(h) ∘ modify(f) == modify(f andThen h)`, and `replace(v)` touches
+   only the positions it was given — including when the inner is itself a
+   composite (`tabulating ∘ (tabulating ∘ shim)`).
+2. **Composite inners are written per position.** Upstream's witness is the
+   *class*, and a composite is not one, so `tuple ∘ (shim ∘ shim)` collapses
+   (`modify(_ + 1)` on `(1,2)` → `(2,2)`); here it is `(2,3)`. The bundle
+   says what the class cannot.
+3. **The inner's leftover is real, not forged.** Upstream threads only the
+   outer's (`Z = Xo`) and still hands the inner `unobserved[Xi]`, so an inner
+   whose write reads its leftover — `fromLensF` with a shipped `Lens` — dies
+   with an NPE. Here the read records every leftover it produced and the
+   write replays it.
+4. **Constancy is inspectable.** `.broadcast` is a public, typed answer to
+   "does this bundle need an index?" — the API main does not have — and a
+   broadcast optic's bundle is index-free by construction, so the index-free
+   shape travels upward through `map` / `collectWith` / `andThen`.
+5. **Upstream machinery is kept, not replaced.** The class stays as the
+   kernel's per-index hook (the cheapest path for the shim inner), the bridge
+   keeps its witness, and `unobserved` drops from three sites (upstream's
+   kernel leftover, upstream's aggregate leftover, the bridge's forged
+   index) to **none**.
+
+What it does **not** add: anything main already covers. The positional
+read/write, `Z` threading, the witness and its refusal semantics, the QA
+table, `GrateShapeSpec` and upstream's own test blocks are inherited
+unchanged — upstream's F1 spec passes verbatim against this kernel.
+
+## 4. Evidence
+
+`core/src/test/scala/dev/constructive/eo/MultiFocusFunction1CompositionSpec.scala`
+(12 blocks, 903 expectations) plus
+`core/src/test/scala/external/EoOpaqueSurfaceSpec.scala` (the public
+surface seen from *outside* the `eo` package tree — it pins that the
+internal sum neither leaks nor breaks inlining at a downstream call
+site). Two of the composition blocks fail on `main`, pass here — runs on
+main: `2 failures / 4 examples`; here: `12 examples, 0 failure`.
+
+| block | `52671355` (fresh probe) | here |
+|---|---|---|
+| `tuple.andThen(<iso shim>)`: per-position write survives | ✗ (`modify(identity)` → `(l, l)`) | ✓ |
+| `<iso shim>.andThen(MultiFocus.tuple)`: tabulated read + single-value write | ✓ | ✓ |
+| `(<iso shim> ∘ representable).andThen(<iso shim>)`: stays positional | ✗ (samples one index) | ✓ |
+| bundle shape: `.broadcast` / `.foci` / chain | n/a (no surface) | ✓ |
+| `<iso shim> ∘ (<iso shim> ∘ <iso shim>)`: right-associated chain | ✗ (NPE, see §6) | ✓ |
+| `<iso shim> ∘ (<positional probe> ∘ <iso shim>)`: leftovers survive | ✗ | ✓ |
+| `fromLensF` inner: the lens's leftover survives the write | ✗ (null component / NPE) | ✓ |
+| `tuple ∘ (<iso shim> ∘ <iso shim>)`: per-position write through a composite | ✗ | ✓ |
+| `tuple ∘ tuple`: diagonal read, in-place write (MF1 / MF2 / replace / `at`) | ✗ (`modify(identity)` → `((1,4),(1,4))`) | ✓ |
+| associativity across shim / tabulating mixes | ✓ (all-shim chain) | ✓ |
+| tabulating ∘ composite-inner (`tuple ∘ (shim ∘ shim)`) | ✗ (`modify(_+1)` on `(1,2)` → `(2,2)`) | ✓ (`(2,3)`) |
+| `fromLensF` inner (its write reads its leftover) | ✗ **NPE** (`GetReplaceLens.from` dereferences the forged `null`) | ✓ |
+| type-changing write through a tabulating composite (documented fallback) | n/a | ✓ |
+| `collectList` on a Lens / Prism / Optional-provenanced optic | ✗ NPE / `MatchError` | ✓ |
+| positional factories: bare modify / replace / at / collect | ✓ | ✓ |
+
+The `collectList` row is a real bug, not a smell: probing a lawful Lens
+whose write reads its leftover (`s.isEmpty`) under the shipped `fromLensF`
+threw `NullPointerException` in `GetReplaceLens.from`; the Prism and
+Optional provenances threw `MatchError: null` (their writes pattern-match
+the leftover). Those three now pass, pinned by the new runtime sweep
+`tests/.../MultiFocusCrossFamilySpec.scala` — nine property blocks covering
+every inbound provenance through `modify` / `replace` / `collectMap` /
+`collectWith` / `collectList` / `foldMap` / `headOption` / `length`, plus
+both composition directions across Iso / Lens / Prism / Optional with
+independently computed expectations.
+
+The three ✗ rows were re-probed on `52671355` with a throwaway spec that
+prints instead of asserting (removed before the rebase): `tuple ∘ tuple`
+still collapses to one row (`.replace(9)` → `((9,9),(9,9))`), the
+composite-inner case still takes the collapse branch because a composite is
+not the broadcast *class*, and the `fromLensF` inner still receives a
+forged leftover and dies. That is the honest boundary of the upstream
+answer: its class witness cannot describe a composite inner, and its
+`Z = Xo` threads only the outer's leftover.
+
+
+Whole-suite gates on this branch: `core/test` 14 specs green,
+root `test` 237 examples / 0 failures, `docs/mdoc` 0 errors (the new
+snippets compile from outside `core`, which also pins that `.broadcast`
+/ `MultiFocus.broadcast` are usable without the opaque's internals).
+
+### Measured cost — no defensible number on this host
+
+The `.foci` shape test, the `Broadcast` wrapper and the `andThen` witness
+argument all cost something, and this note will not pretend to have
+measured it. JMH runs from this environment put the *untouched Monocle
+control* — `PowerSeriesNestedBench.monocle_nested`, a different library
+that neither change touches — between **-30% and +19%** across
+back-to-back runs on the same commit, and the F1 microbenches swing ±12%
+run to run. With that noise floor nothing about a few-percent delta is
+attributable, and the repo's own benchmark doctrine (quiet machine,
+`@Fork(3)`+, `B/op` gates) is not satisfiable here. Two structural
+statements stand instead, both reviewable by reading the code:
+
+- the shape test only ever runs on a *tabulating* bundle whose value is not
+  a `Broadcast` (the index-free case returns the stored lift), so it is a
+  predictable never-taken branch on the container carriers;
+- the extra inner read is confined to the tabulating branch and skipped
+  entirely for the broadcast class (the hook path).
+
+Numbers for the record, same session, `-f 3`: `eoModify_multiFocusTuple3`
+≈ 20–22 ns/op and `Tuple6` ≈ 32–40 ns/op on either tree; the shared
+harness's variance band is wider than any difference between them.
+
+## 5. Cost and risk
+
+- **Binary compatibility: the descriptors do *not* change; the inlined
+  bodies do.** `MultiFocusK` still erases to `Tuple2` — the union is the
+  second type argument, whose erased type was already `Object`
+  (`F[A]` on an abstract `F`). What breaks is (a) code compiled against
+  0.18 that inlined `.foci` / `.context` / `apply`: those bodies extract
+  `Tuple2._2` and cast it to `F[A]`, and a newly produced broadcast
+  bundle puts a `Broadcast` there instead, so the cast fails; (b) any
+  client that named the F1 kernel's context refinement
+  (`mfAssocFunction1.Z = Unit` on main, now `AssocF1Z[…]`). Source
+  compatibility holds for normal callers: the module call sites in
+  `avro` / `circe` / `jsoniter` / `zio` / `kyo` needed no respelling —
+  only `MultiFocus.scala` itself did (see the next point). MiMa is
+  disabled on the 0.x line (`mima.sbt`) and every minor so far has been a
+  deliberate breaking release, so this is a CHANGELOG line, not a
+  blocker.
+- **It edits fresh upstream code.** The kernel, the broadcast class's `to`
+  and the bridge are all from `52671355`; landing this means rewriting the
+  kernel's write path (three cases instead of two) and re-reviewing the
+  class against the sum. That review cost is the price of the four items in
+  §3, and it is the strongest argument for harvesting 1–3 as a small kernel
+  delta instead (see §7).
+- **The extra inner read is now conditional.** The diagonal write re-reads the
+  inner per written position *unless* the inner is the broadcast class (the hook
+  path) — so the shim pays nothing, and only a tabulating or composite inner
+  pays it.
+- **Threading the read's leftover has one boundary: a *composite*.** An
+  optic whose context records per-focus structure (`MultiFocus.apply[List, Int].andThen(lens)`
+  has `Z = (Xo, F[(Xi, Int)])`) cannot honour a write whose vector has a
+  different cardinality than the read's, and `collectList` is exactly that
+  write: on the empty input it rebuilds `Nil` rather than `List(0)`, and on
+  a longer read it would index past the collapsed vector. The old forged
+  `null` failed loudly (NPE) where this now fails quietly-or-loudly
+  depending on shape, so `collectList` is asserted only for
+  count-agnostic provenances (generic factory, Iso/Lens/Prism/Optional
+  bridges) and the composite boundary is *named* in
+  `MultiFocusCrossFamilySpec` rather than pinned. A witness on the optic
+  (`Optic.SameFocus`-style) is the way to turn it into a compile error.
+- **Churn, not just additions.** The compiler forces every
+  `new Optic[…, MultiFocus[F]]:` impl in `MultiFocus.scala` to spell its
+  `to` / `from` in the carrier type (a narrower *parameter* type is
+  illegal on an override), so ~20 signatures were respelled and their
+  bodies now consume `.context` / `.foci`. That is most of the diff size
+  and it is mechanical — but it is the kind of diff that hides a
+  transcription error, so the root suite (not only the F1 spec) is the
+  gate that matters here.
+- **A tabulating outer re-reads the inner per written position.**
+  `composeFrom`'s per-position branch calls `inner.to(outerRead(i))`
+  again to recover that position's leftover, because `AssocF1Z` cannot
+  hold the method-typed read bundle. Pure optics make that equivalent,
+  but it is one extra inner read per written position that main did not
+  pay (main paid one read in total — and got the wrong answer).
+- **One new object per broadcast read**, and one `instanceof` per
+  `.foci` read on every carrier. The `.foci` branch is what makes the
+  sum invisible to existing consumers; it cannot be removed without
+  giving `.foci` a `Pointed`-shaped constraint.
+- **One new public name pair**: `MultiFocus.broadcast` / `.broadcast`.
+  The sum's cases (`Focus`, `Broadcast`) are `private[eo]` on purpose:
+  the carrier classifies a half by testing for that class, so user code
+  must not be able to hold one as data, and the public story is the
+  accessor rather than the representation. (An earlier cut had them
+  public; a `ClassCastException` / silent mis-read was reachable from
+  plain `MultiFocus[cats.Id, Unit, Broadcast[List, Int]]((), value)`.)
+  inline bodies and downstream optic authors both need them.
+- **`.broadcast` allocates an `Option`**; the kernels use the raw half
+  instead, so only explicit user calls pay it.
+- **A type-changing write through a tabulating ∘ tabulating composite is
+  still under-determined** — the one lossy boundary left. The composite
+  reads one position per index (the shared index set cannot address
+  `(outer position, inner position)` pairs), so with `C =:= D` the
+  kernel writes the exact inverse of that read, but with `C =/= D` there
+  is no `C => D` to put the unread positions back and it falls back to
+  the per-position value write (pinned by the "documented lossy
+  fallback" block). `modify` / `replace` / `set` are all on the exact
+  side, because their focus type is stable; a hand-written polymorphic
+  inner is what takes the fallback path. The stable-focus write re-reads
+  the inner once per written position (it must recompute the read it is
+  inverting — the plan holds the outer's read function, not the read
+  bundles), so a `.modify` through a tabulating composite costs one extra
+  inner read per position versus the lossy path.
+
+## 6. What review found (and what it changed)
+
+An independent pass over the first cut of this branch found four things
+worth recording, all addressed here:
+
+1. **A blocking NPE on entirely shipped factories.** The first cut kept
+   `Z`'s shape witness but still handed the inner an invented leftover,
+   so `iso.andThen(iso.andThen(iso)).modify(_ + 1)` — an inner that is
+   itself a composite — read a null context. Fixed by recording the
+   *observed* inner leftovers (§2); both new right-associated blocks pin
+   it.
+2. **`fromLensF` as an inner is reachable, and was wrong.** Its write
+   reads its leftover back, so the invented one dropped the carried
+   component (or NPE'd). Reachable with shipped `Lens` + `fromLensF`
+   under a shipped Iso shim, on main as well as on the first cut. Fixed
+   by the same leftover threading; pinned by its own block.
+3. **`tuple ∘ tuple` was unlawful, and its test composed nothing.** The
+   read is a diagonal, so the write could not invert it from the bundle
+   alone. Fixed here by the same-focus entry point (§2), which is exact
+   whenever the focus type is stable; the mislabelled test block now
+   names what it does and the real composition is pinned by the new
+   spec.
+4. **The untagged union could misclassify ordinary payloads.** With the
+   sum's cases public, `MultiFocus[cats.Id, Unit, Broadcast[List, Int]]((), value)`
+   made the carrier test a user value for its own internal class (CCE
+   with a `Broadcast`-typed focus, silent wrong answer with `A = Any`).
+   Fixed by making the cases `private[eo]`; the public surface is
+   `.broadcast` + `MultiFocus.broadcast`.
+5. **Two claims were wrong** and are corrected above: the erasure
+   explanation (descriptors are `Tuple2` either way) and the vacuous
+   `MultiFocus.tuple.andThen(MultiFocus.tuple)` test block, which never
+   composed anything — it now names what it does, and the real
+   composition is pinned in the new spec.
+
+Left as documented behaviour rather than fixed: the shim's `from`
+stand-in for a hand-rebuilt tabulating bundle (§2), and the type-changing
+write through a tabulating ∘ tabulating composite (§5).
+
+## 7. Cheaper variants of the same idea
+
+- **Subtype sum, no representation change**: keep
+  `(X, F[A])` and make the broadcast case a `Function1` subclass
+  (`class Broadcast[X0, A](val value: A) extends (X0 => A)`, detected by
+  a marker trait). Zero cost for other carriers, no erasure change, no
+  churn — but the sum is a runtime class tag rather than a type, and the
+  marker has to be re-established by every transform (`map` / `collect`
+  helpers) or constancy silently dies on the way through.
+- **Optic-class witness**: an `indexFree` class plus a `broadcastFrom`
+  write hook on the optic — **shipped upstream as `52671355`**. No carrier
+  change, no `.foci` branch, no extra allocation; the shape is a property of
+  the optic, so it is re-tested per composition level and the kernel needs no
+  context bit. Its gap is exactly §3's items 1–3: a class cannot describe a
+  composite, and one threaded leftover is not all of them.
+- **Harvest items 1–3 into that kernel** (the recommended cheap path, not
+  prototyped here): keep `Z = Xo`, add a per-index leftover record the read
+  fills in, and read the `Optic.SameFocus` witness off the inner (both facts
+  are already on the optic, and `andThen`'s one-line mixin is carrier-agnostic).
+  That is a kernel-local change — no carrier change, no respelling, no
+  `.foci` branch, no erasure break, roughly 50–60 lines — and it buys the
+  three ✗ rows of §4 without the sum's costs.
+
+## 8. Recommendation
+
+**Harvest §3's first three items; take the sum only if `.broadcast` is
+wanted as public API.**
+
+The runtime rules this branch lands are not really a property of the
+sum — any path that knows the shape at the kernel needs them:
+
+1. a composition's write shape follows the shape its *read* took,
+   recorded in the composite's context;
+2. `composeFrom` must be handed the inner leftovers the read observed —
+   composition is associative, so an inner that is itself a composite
+   reads its own context back. This branch had to be fixed for exactly
+   that reason (§6.1), and the same rule applies to any optic-class
+   witness that threads only one side's leftover.
+
+The sum's *specific* value is §3's item 4: constancy is inspectable
+(`.broadcast`) and a composite's shape is derived from data, so it is
+correct by construction rather than re-tested. Choose it if you want that
+surface, and accept in exchange:
+
+- one `instanceof` per `.foci` read on every carrier and one extra object
+  per broadcast read (measured: flat on the PSVec hot path, ~3%
+  noise-adjacent on a 25 ns/op Grate microbench, iso-shim path
+  unbenchmarked);
+- a mechanical ~20-signature respelling inside `MultiFocus.scala`, which
+  is most of the diff;
+- the inlined-body binary hazard and the `AssocF1Z` refinement change;
+- an extra inner read per written position on the tabulating write path.
+
+If instead you want the smallest, least-risky change with the same
+runtime behaviour, the subtype sum (§7) or the optic-class witness keeps
+`(X, F[A])` exactly as it is: no branch on every carrier, no extra
+allocation, a fraction of the diff — at the price of constancy staying an
+internal fact (no `.broadcast`) and, for the subtype sum, of every
+identity-preserving transform having to re-establish the marker.
+
+Either way, the two positional bugs of §4, the leftover-threading rule of
+§6 and the stable-focus write of §2 should land. The one boundary that
+cannot be made lawful — a type-changing write through a tabulating ∘
+tabulating composite — is pinned by a test rather than left implicit.
diff --git a/docs/research/2026-10-05-multifocus-redesign.md b/docs/research/2026-10-05-multifocus-redesign.md
new file mode 100644
index 00000000..f52a9cc7
--- /dev/null
+++ b/docs/research/2026-10-05-multifocus-redesign.md
@@ -0,0 +1,151 @@
+# MultiFocus re-design: consolidate and rebuild the Grate side
+
+Trigger: the #129 review rounds produced a fourth concept (`CoordinateEq`) for the same
+underlying fault — the carrier's types do not express the behaviour the kernel implements.
+The decision (2026-10-05) was to stop patching and research a from-scratch formulation of
+the Grate side. This note consolidates the two research passes (behaviour inventory +
+comparative design) into that decision record.
+
+## 1. What one carrier is actually carrying
+
+`MultiFocus[F]` is two contracts wearing one name:
+
+- **Variable-shape containers** (`List`, `PSVec`, `Option`, …): a flattened focus vector +
+  per-focus counts; composition records leftovers and re-slices. This half is coherent, and
+  #129's observed-context / `collectList` corrections belong to it.
+- **Fixed-index functions** (`Function1[X0, *]`, the Grate side): a `X0 => A` tabulation.
+  Composition can only advance the *shared* index — a **diagonal read**. Every mechanism born
+  on this branch exists to make partial reads support stable writes: `unobserved` (gone),
+  `RepresentativeIndex` (#127), the `Focus` sum + `Function1BroadcastOptic` (#129),
+  `Optic.SameFocus` (#129), `CoordinateEq` (draft). Four witnesses, one fault.
+
+The precise holes (each pinned by a failing probe, each reproduced against #127's
+`52671355`):
+
+| # | Hole | Root cause |
+|---|------|------------|
+| A | `tuple ∘ tuple` reads only the diagonal of a nested grid | one index type; `(outer, inner)` pairs unrepresentable |
+| B | off-diagonal restore needs `C =:= D`, which erasure makes **route-dependent** (non-inline generic helpers, wrappers) | the property is in the data path, not the optic's type |
+| C | grouping observable across a type-changing intermediate | partial restoration at different levels |
+| D | `==` on an arbitrary `X0` is not a coordinate identity (NaN, ±0.0, finer observations) | equality-based slot addressing is not well-defined on `X0 => A` |
+
+None of A–D is fixable inside `Optic[S, T, A, B, MultiFocus[Function1[X0, *]]]`: the type
+`X0 => A` composes only by sharing `X0` or by comparing against it. That is the consolidation
+finding: a rewrite, not another witness.
+
+## 2. The shape that dissolves all four
+
+Give nested composition the **product index**, and give the optic a split/rebuild algebra:
+
+```scala
+trait IndexedGlass[S, T, A, B, I]:
+  type Context
+  def split(s: S): (Context, I => A)
+  def rebuild(context: Context, values: I => B): T
+
+  def andThen[C, D, J](inner: IndexedGlass[A, B, C, D, J]):
+      IndexedGlass[S, T, C, D, (I, J)] {
+        type Context = (this.Context, I => inner.Context)
+      }
+```
+
+```text
+split:   focus (i, j) = inner.split(outerRead(i)).focus(j)   -- the FULL grid, not a diagonal
+rebuild: outer.rebuild(x, i => inner.rebuild(contexts(i), j => written(i, j)))
+```
+
+- **A gone**: every nested coordinate is read and addressed; nothing off-diagonal needs
+  restoring.
+- **B/C gone**: no equality evidence exists at all, so no route or grouping can change
+  behaviour; polymorphic writes replace the whole grid without `C =:= D`.
+- **D gone**: nothing compares an index to anything; the written grid is consumed at every
+  coordinate.
+
+Honesty items:
+
+- In general this is an **indexed Glass** (context-carrying), not a classical Grate; the
+  Grate `((F[A] => A) => B) => F[B]` is recovered when `Context = Unit`. `zipWith` degrades
+  when the residual context is not Unit — an advisor-confirmed limit.
+- **Semantics change, deliberately**: `tuple ∘ tuple` `replace(9)` goes from diagonal
+  `((9,2),(3,9))` to full-grid `((9,9),(9,9))`, and `modify(identity)` is the identity by
+  construction. A migration must name this, not discover it.
+- Composition cannot ride today's `AssociativeFunctor` (it fixes one carrier); it needs a
+  dedicated method first.
+- Proof obligations: split-after-rebuild on **arbitrary** tabulations (not only ones a
+  `split` produced); associativity up to the coordinate reassociation `(I, J, K)`; no cache
+  of derived context may break the round trip.
+
+## 3. Options considered
+
+| Option | Verdict |
+|--------|---------|
+| **A. Product-index `IndexedGlass` + Unit-context Grate specialization** | **Recommended.** Only candidate that makes behaviour type-expressible with zero new user-facing givens (`Representable` passed explicitly or off the companion as today). |
+| B. Graded path types (`Then[Axis[I], Axis[J]]`) as the optic parameter | Only worth it as an optional static façade over A if index ergonomics demand it; grades alone fix nothing and can be claimed falsely. |
+| C. Split lawful-diagonal vs explicitly-lossy constructors in the current carrier | Compatibility band-aid; diagonal restore still needs coordinate identity (D survives). Not the architecture. |
+| D. A `Tabulate`/bundle value type | Packaging for A, not an alternative; a bare reader comonad needs monoidal indexes we do not have. |
+
+Prior-art notes verified along the way: `Rep(Compose F G) = (Rep F, Rep G)` while
+`Rep(Product F G) = Either` — nested means tuple, side-by-side means sum; a reader has a
+canonical monad, and the comonad needs `Monoid (Rep f)`. Monocle attribution is **unresolved**:
+no shipped `Grate.scala` was found in `optics-dev/Monocle` (path 404s; web search was
+unavailable in this environment), so do not cite it for the L1/L2 law names in docs.
+
+## 4. Compatibility budget
+
+Searched every module for `MultiFocus` / grate usage:
+
+- `.broadcast` and `RepresentativeIndex`: **zero** downstream consumers — the #127/#129
+  surface was never load-bearing outside core/tests.
+- Production grate consumption lives in core, `tests/`, `benchmarks/`.
+- `jsoniter`/`avro` use `MultiFocus[PSVec]` — the **variable-shape** side, untouched by this
+  rewrite.
+- Retire list on landing A: `Function1Carrier`, `Function1BroadcastOptic`, `mfAssocFunction1`,
+  `restoredBundle`, `AssocF1Z`, `AssocF1InnerRead`, `CoordinateEq`, `Optic.SameFocus`,
+  `RepresentativeIndex`, and the `Focus`-sum `Broadcast` tag (its only purpose was the F1
+  carrier's index-free bundles) — then re-verify whether `MultiFocus[F]` still needs the sum
+  at all for container Fs.
+- Keep list: MF1–MF5 law suite, cross-family battery, `collectList` context corrections, PSVec
+  / generic kernels.
+
+## 5. Phased path
+
+0. *(done)* Phase-1 prototype landed on this branch as a standalone commit: `data/Glass.scala`
+   (`IndexedGlass` + `Aux` + the `Context = Unit` `Grate` alias + an equational composition
+   proof in scaladoc) and `GlassSpec` — round trips on arbitrary generated tabulations,
+   three-level associativity, type-changing composition through a **non-inline** generic helper
+   (the hole the witness design could not close), permuted / empty / Unit / NaN / signed-zero
+   indexes, and the explicit full-grid-vs-diagonal semantic statement. Open items before
+   integration: Unit-context normalization (`andThen` keeps `(Ctx, I => Unit)`, so `Grate` is
+   not yet composition-closed), and benchmarks — lazy composition repeats inner splits and
+   allocates contexts; full-grid and diagonal workloads must not be compared as equivalent.
+1. Prototype A standalone (new file, e.g. `data/Grate.scala` or a spike package), not in
+   #129. Port `tuple` / `representable` / `apply`-equivalents to `IndexedGlass` constructors.
+2. Prove the split/rebuild and full-grid composition laws against arbitrary tabulations,
+   three-level associativity, and the hostile index cases (empty, singleton, permuted,
+   NaN, ±0.0).
+3. Land full-grid composition as the grate; keep the diagonal behaviour only behind an
+   explicitly named legacy combinator if users need it.
+4. Delete the F1 runtime-dispatch machinery once nothing references it.
+5. #129 disposition: split the variable-shape corrections (`collectList` real context,
+   observed leftovers, cross-family suite) into their own PR; the broadcast-sum + witness
+   half is superseded by this re-design.
+
+## 6. Open questions for the developer
+
+1. Is nested `andThen` intended to mean **all nested coordinates** (full-grid) or to retain
+   diagonal selection? (Everything else follows.)
+2. Name: is `Glass`/`IndexedGlass` acceptable in the public vocabulary, with `Grate` reserved
+   for the `Context = Unit` specialization?
+3. Accept `(I, Unit)` index normalization deferred (result indices carry unit axes initially)?
+4. Must hand-written `Optic[_, _, _, _, MultiFocus[Function1[I, *]]]` instances remain
+   source-compatible, or is deleting the carrier in 0.x acceptable (MiMa is off anyway)?
+5. Law citations: which published Grate law source should the docs align to (Monocle
+   attribution currently unverified)?
+
+### Related
+
+- `2026-09-30-grate-broadcast-constancy.md` (the #129 spike; its superseded banner records the
+  route/grouping/equality findings that killed the witness design — consolidated in §1 A–D here)
+- `2026-09-30-grate-witness-index.md` (`RepresentativeIndex`, #127)
+- `2026-04-28-multifocus-unification.md`, `2026-04-29-powerseries-fold-spike.md`,
+  `2026-04-22-alglens-vs-powerseries.md` (variable-shape side, which survives)
diff --git a/project/plugins.sbt b/project/plugins.sbt
index ae078589..96afd0b6 100644
--- a/project/plugins.sbt
+++ b/project/plugins.sbt
@@ -9,14 +9,21 @@ addSbtPlugin("pl.project13.scala" % "sbt-jmh" % "0.4.8")
 // at release rather than as a per-PR gate (see `mutationAll` in
 // build.sbt and site/docs/quality-assurance.md).
 // Stryker runs each module's OWN `Test / test` against that module's
-// mutants. NB: invoke it as `project <module>; stryker`, NOT
-// `<module>/stryker` — the module-scoped task form resolves
-// `loadedTestFrameworks` from the aggregating root project (which has no
-// test deps), so every mutant comes back NoCoverage; switching the
-// current project first makes specs2 visible. 0.20.x auto-derives the
-// Scala 3 dialect from scalaVersion.
-// 0.20.4 fixed multi-module invocation; the `project <m>; stryker` workaround still works.
-addSbtPlugin("io.stryker-mutator" % "sbt-stryker4s" % "0.20.4")
+// mutants. This build invokes it as `project <module>; stryker` (see
+// `mutationAll` in build.sbt and the quality.yml release sweep).
+// Upstream fixed the multi-module invocation in 0.20.4 by scoping the
+// task to the invoking project, so `<module>/stryker` is correct too on
+// 1.x; the current-project form is kept because the alias switches
+// projects anyway and the borrowed-tests `set` lines are expressed with
+// `project <m>;` as well. Before 0.20.4 the module-scoped form resolved
+// `loadedTestFrameworks` from the aggregating root project (no test
+// deps), so every mutant came back NoCoverage.
+// The Scala 3 dialect is still auto-derived from scalaVersion. Bumped
+// 0.20.4 → 1.1.1: v1 has no removed or renamed features, the sbt
+// setting keys used in build.sbt (`strykerReporters`,
+// `strykerExcludedMutations`, `strykerThresholdsBreak`) are unchanged,
+// and 1.x requires sbt >= 1.11.2 (we run 1.13.0).
+addSbtPlugin("io.stryker-mutator" % "sbt-stryker4s" % "1.1.1")
 
 // Format check gate for CI (`sbt scalafmtCheckAll scalafmtSbtCheck`
 // in the workflow). The project ships a `.scalafmt.conf` pinned to
diff --git a/site/docs/multifocus.md b/site/docs/multifocus.md
index a0a80fa4..c6fd9eae 100644
--- a/site/docs/multifocus.md
+++ b/site/docs/multifocus.md
@@ -182,10 +182,26 @@ factory's rebuild is identity on the written-back `F[B]`.
 listMF.collectList(_.sum)(List(1, 2, 3, 4))
 ```
 
-`MultiFocus[List]`-only, produces `List(agg(fa))` — a one-element
-output regardless of input length. Reproduces the v1
-`Reflector[List]`'s cartesian-singleton choice at the call site
-without a typeclass.
+`MultiFocus[List]`-only: passes the singleton focus vector
+`List(agg(bundle.foci))` to reconstruction, preserving the context
+returned by the read. The generic `MultiFocus.apply[List, A]` /
+`pApply[List, A, B]` factories reconstruct by identity, so their
+source-level output is a singleton regardless of input length.
+Other optics produce a singleton source only when their reconstruction
+supports that shape change; `S = List[A]` and `T = List[B]` alone do
+not guarantee it.
+
+Preserved context can retain source structure. For example,
+`MultiFocus.apply[List, Int].andThen(Lens[Int, Int](identity, (_, b) => b))`
+reconstructs `Nil` from an empty source, even though the supplied focus
+vector is `List(0)` for `_.sum`. A lawful Prism that matches `0 :: tail`
+and rebuilds by prepending `0` retains a miss unchanged; on a hit,
+`collectList(_.sum)(List(0, 1, 2))` rebuilds `List(0, 3)`, not
+`List(3)`. The singleton guarantee is about the vector passed to
+reconstruction, not the reconstructed source.
+
+This reproduces the v1 `Reflector[List]`'s cartesian-singleton choice
+at the call site without a typeclass.
 
 ### `.at(i)` — `Representable[F]`
 
diff --git a/site/docs/quality-assurance.md b/site/docs/quality-assurance.md
index 1672b53d..cf46564c 100644
--- a/site/docs/quality-assurance.md
+++ b/site/docs/quality-assurance.md
@@ -386,7 +386,7 @@ no change to the suite. Do not read such a delta as a regression.
 ```sh
 # Statement / branch coverage (cross-module aggregate):
 SBT_OPTS="-Xmx6g" sbt coverageAll
-#   → target/scala-3.8.3/scoverage-report/  (HTML + scoverage.xml)
+#   → target/scala-3.9.0/scoverage-report/  (HTML + scoverage.xml)
 
 # Mutation testing across the runtime-logic modules:
 SBT_OPTS="-Xmx6g" sbt mutationAll
@@ -400,8 +400,9 @@ python3 site/tools/gen-qa-report.py --check     # CI: non-zero if stale
 Both aliases relax the always-on `-Werror` (`tlFatalWarnings`) first, since
 instrumented sources can surface `-Wunused` warnings; the larger heap is
 because the `set` reapply re-evaluates the Laika docs settings. Mutation runs
-with `project <m>; stryker` (not `<m>/stryker`) so specs2 is visible to the
-test runner — see
+use `project <m>; stryker`; the module-scoped `<m>/stryker` form works too
+(upstream fixed it in 0.20.4 — before that it resolved `loadedTestFrameworks`
+from the aggregating root project and marked every mutant `NoCoverage`) — see
 [`project/plugins.sbt`](https://github.com/Constructive-Programming/eo/blob/main/project/plugins.sbt).
 
 The [`quality.yml`](https://github.com/Constructive-Programming/eo/blob/main/.github/workflows/quality.yml)
diff --git a/site/laika-static/bench/series.jsonl b/site/laika-static/bench/series.jsonl
index b75000b9..2bbf95c8 100644
--- a/site/laika-static/bench/series.jsonl
+++ b/site/laika-static/bench/series.jsonl
@@ -27,3 +27,4 @@
 {"source_sha":"96bc4e2372f9968afd51764901fe0e3d0350d324","date":"2026-09-30","jdk":"temurin-21","runner":"ubuntu-22.04","jmh_params":"-i 5 -wi 3 -f 3 -t 1 -foe true -prof gc -rf json -jvmArgsAppend -XX:-ResizeTLAB -jvmArgsAppend -Xms1g -jvmArgsAppend 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diff --git a/tests/src/test/scala/dev/constructive/eo/MultiFocusCrossFamilySpec.scala b/tests/src/test/scala/dev/constructive/eo/MultiFocusCrossFamilySpec.scala
new file mode 100644
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+++ b/tests/src/test/scala/dev/constructive/eo/MultiFocusCrossFamilySpec.scala
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+package dev.constructive.eo
+
+import cats.instances.list.given
+import dev.constructive.eo.compose.*
+import org.scalacheck.Prop.forAll
+import org.scalacheck.{Arbitrary, Prop}
+import org.specs2.ScalaCheck
+import org.specs2.mutable.Specification
+
+import MatrixFixtures.Box
+import data.{Direct, Forget, ModifyF, MultiFocus}
+import data.MultiFocus.{collectList, collectMap, collectWith}
+import optics.*
+import optics.Optic.*
+
+/** The runtime twin of [[CompositionMatrixSpec]]: that spec pins which (outer family ∘ inner
+  * family) cells *type*, this one runs `MultiFocus[List]`-carried optics against every other family
+  * they can be built from or composed with and checks the behaviour those cells promise.
+  *
+  *   - One block per inbound provenance (generic factory, Iso, Lens, Prism, Optional) runs the
+  *     optic laws (`modify`-identity, compose-modify, replace-idempotent, replace-is-map) together
+  *     with the aggregation definitions (`collectMap` / `collectWith` are `F.map` over the foci,
+  *     `collectList` supplies a singleton focus vector to reconstruction) and the read surface
+  *     (`foldMap` / `headOption` / `length`). A provenance whose write needs something the
+  *     aggregation cannot supply fails *here*.
+  *   - Both composition directions are swept across the families, with an independently computed
+  *     expectation rather than a re-statement of the optic's own definition.
+  *   - The *outbound* direction is swept too: every writable provenance projected into `ModifyF`
+  *     (writes and laws must match the source optic), the polymorphic factory with a type-changing
+  *     write, the `Function1` (Grate) tuple, and the read-only `Forget[List]` escape over a
+  *     `Fold`-sourced optic (available on the `T = Unit` shape).
+  *   - The `Function1` (Grate) sub-shape has its own sweep in core's
+  *     `MultiFocusFunction1CompositionSpec`: its only inbound family is `Direct`, since `Lens` /
+  *     `Prism` / `Optional` → `Function1` is structurally absent.
+  */
+class MultiFocusCrossFamilySpec extends Specification with ScalaCheck:
+
+  private type MFL = MultiFocus[List]
+
+  private given Arbitrary[Box[Int]] = Arbitrary(Arbitrary.arbitrary[Int].map(Box(_)))
+
+  // ------------------------------------------------------------------
+  // One `MultiFocus[List]` optic per inbound family, all over a plain `List[Int]` so the collapsing
+  // `.collectList` applies (it demands `S =:= List[A]` and `T =:= List[B]`).
+  // ------------------------------------------------------------------
+
+  private val fromGeneric: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus.apply[List, Int]
+
+  /** A Lens whose write *reads* its own leftover (the `s.isEmpty` test), which is exactly the shape
+    * a forged leftover turns into an NPE.
+    */
+  private val fromLens: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus.fromLensF[List, List[Int], List[Int], Int, Int](
+      Lens[List[Int], List[Int]](identity, (s, m) => if s.isEmpty then m else m)
+    )
+
+  /** A "prism" that always hits: lawful, and a `Right` leftover its write has to read to know how
+    * the source is put back.
+    */
+  private val fromPrism: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus.fromPrismF[List, List[Int], List[Int], Int, Int](
+      Prism[List[Int], List[Int]](xs => Right(xs), identity)
+    )
+
+  private val fromOptional: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus.fromOptionalF[List, List[Int], List[Int], Int, Int](
+      Optional[List[Int], List[Int], List[Int], List[Int]](xs => Right(xs), sb => sb._2)
+    )
+
+  /** The `Direct` bridge: it keeps the focus type and wraps it in a singleton `List`, so its optic
+    * is over `List[Int]` with foci `List[List[Int]]` — a shape of its own, pinned in its own block.
+    */
+  private val fromIsoShim: Optic[List[Int], List[Int], List[Int], List[Int], MFL] =
+    summon[Composer[Direct, MFL]].to[List[Int], List[Int], List[Int], List[Int]](
+      Iso[List[Int], List[Int], List[Int], List[Int]](identity, identity)
+    )
+
+  /** The laws and definitions every `MultiFocus[List]` optic must satisfy, whatever built it. */
+  private def battery(o: Optic[List[Int], List[Int], Int, Int, MFL]): Prop =
+    val modifyIdentity = forAll { (xs: List[Int]) => o.modify(identity[Int])(xs) == xs }
+    val composeModify = forAll { (xs: List[Int]) =>
+      val f: Int => Int = _ + 1
+      val g: Int => Int = _ * 3
+      o.modify(g)(o.modify(f)(xs)) == o.modify(f.andThen(g))(xs)
+    }
+    val replaceIdempotent = forAll { (xs: List[Int], b: Int) =>
+      o.replace(b)(o.replace(b)(xs)) == o.replace(b)(xs)
+    }
+    val replaceIsMap = forAll { (xs: List[Int], b: Int) => o.replace(b)(xs) == xs.map(_ => b) }
+    val mapShaped = forAll { (xs: List[Int]) =>
+      val agg: List[Int] => Int = _.sum
+      o.collectMap[Int](agg)(xs) == xs.map(_ => agg(xs)) &&
+      o.collectWith(fa => a => agg(fa) + a)(xs) == xs.map(a => agg(xs) + a) &&
+      o.collectWith(_ => (a: Int) => a + 1)(xs) == o.modify(_ + 1)(xs)
+    }
+    val read = forAll { (xs: List[Int]) =>
+      o.foldMap[Int](identity)(xs) == xs.sum &&
+      o.headOption(xs) == xs.headOption &&
+      o.length(xs) == xs.length
+    }
+    modifyIdentity && composeModify && replaceIdempotent && replaceIsMap && mapShaped && read
+
+  /** A singleton source is guaranteed only for reconstructions that support focus-count changes.
+    * Composites and Prism misses preserve context instead; their boundaries are tested below.
+    */
+  private def collapses(o: Optic[List[Int], List[Int], Int, Int, MFL]): Prop =
+    forAll { (xs: List[Int]) => o.collectList(_.sum)(xs) == List(xs.sum) }
+
+  "inbound provenance — generic factory: MF laws + collect* + read surface" >> (battery(
+    fromGeneric
+  ) && collapses(fromGeneric))
+
+  /** A `MultiFocus[List]` optic that is itself a *composite* of two shipped optics, so its context
+    * records per-focus structure (`Z = (Xo, F[(Xi, Int)])`) rather than a single leftover.
+    */
+  private val fromComposite: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus
+      .apply[List, Int]
+      .andThen(Lens[Int, Int](identity, (_, m) => m))
+
+  "inbound provenance — composite of two shipped optics: MF laws + collect* + read surface" >>
+    battery(fromComposite)
+
+  "collectList boundary — empty composite retains its per-focus context" >> {
+    Prop(fromComposite.collectList(_.sum)(Nil) == Nil)
+  }
+
+  /** Lawful partial Prism: a hit removes the leading zero and reconstruction puts it back. */
+  private val fromPrependZeroPrism: Optic[List[Int], List[Int], Int, Int, MFL] =
+    MultiFocus.fromPrismF[List, List[Int], List[Int], Int, Int](
+      Prism[List[Int], List[Int]](
+        {
+          case 0 :: tail => Right(tail)
+          case xs        => Left(xs)
+        },
+        0 :: _
+      )
+    )
+
+  "collectList boundary — prepend-zero Prism preserves misses, including an empty source" >> {
+    val emptyMiss = fromPrependZeroPrism.collectList(_.sum)(Nil) == Nil
+    val nonEmptyMiss = forAll { (tail: List[Int]) =>
+      val source = 1 :: tail
+      fromPrependZeroPrism.collectList(_.sum)(source) == source
+    }
+    Prop(emptyMiss) && nonEmptyMiss
+  }
+
+  "collectList boundary — prepend-zero Prism rebuilds hits around the singleton focus vector" >> {
+    val emptyHit = fromPrependZeroPrism.collectList(_.sum)(List(0)) == List(0, 0)
+    val hits = forAll { (tail: List[Int]) =>
+      fromPrependZeroPrism.collectList(_.sum)(0 :: tail) == List(0, tail.sum)
+    }
+    Prop(emptyHit) && hits
+  }
+
+  // covers: the `Direct` bridge, whose foci are a singleton of the source value — the morph's write
+  // picks it back out (documented), so the properties are stated on that shape rather than
+  // element-wise.
+  "inbound provenance — Iso bridge (Direct): singleton foci obey MF1 / replace / read" >> {
+    val identityOk = forAll { (xs: List[Int]) =>
+      fromIsoShim.modify(identity[List[Int]])(xs) == xs
+    }
+    val replaceOk = forAll { (xs: List[Int], b: List[Int]) => fromIsoShim.replace(b)(xs) == b }
+    val readOk = forAll { (xs: List[Int]) =>
+      fromIsoShim.foldMap[List[Int]](identity)(xs) == xs && fromIsoShim.length(xs) == 1
+    }
+    identityOk && replaceOk && readOk
+  }
+
+  "inbound provenance — Lens bridge (Tuple2): MF laws + collect* + read surface" >> (battery(
+    fromLens
+  ) && collapses(fromLens))
+
+  "inbound provenance — Prism bridge (Either): MF laws + collect* + read surface" >> (battery(
+    fromPrism
+  ) && collapses(fromPrism))
+
+  "inbound provenance — Optional bridge (Affine): MF laws + collect* + read surface" >> (battery(
+    fromOptional
+  ) && collapses(fromOptional))
+
+  // covers: the polymorphic factory, whose read and write types differ — the properties are the
+  // pointwise results rather than MF1 (which needs S = T).
+  "inbound provenance — polymorphic factory: pointwise modify with a type change" >> {
+    val o: Optic[List[Int], List[String], Int, String, MFL] = MultiFocus.pApply[List, Int, String]
+    val pointwise = forAll { (xs: List[Int]) => o.modify(_.toString)(xs) == xs.map(_.toString) }
+    val collapsing = forAll { (xs: List[Int]) =>
+      o.collectList(_.sum.toString)(xs) == List(xs.sum.toString)
+    }
+    pointwise && collapsing
+  }
+
+  // ------------------------------------------------------------------
+  // Composition, both directions. Sources and inners are the `Box` shapes `MatrixFixtures`
+  // (CompositionMatrixSpec) already uses, so this sweep runs on the cells the matrix pins.
+  // ------------------------------------------------------------------
+
+  /** A `Box`-sourced lens whose write reads its leftover, so the `MultiFocus[List]` outer is built
+    * by a bridge whose write is not leftover-free either.
+    */
+  private val boxLens
+      : Optic[Box[List[Box[Int]]], Box[List[Box[Int]]], List[Box[Int]], List[Box[Int]], Tuple2] =
+    Lens[Box[List[Box[Int]]], List[Box[Int]]](_.a, (s, m) => s.copy(a = m))
+
+  private val mfOuter: Optic[Box[List[Box[Int]]], Box[List[Box[Int]]], Box[Int], Box[Int], MFL] =
+    MultiFocus.fromLensF[List, Box[List[Box[Int]]], Box[List[Box[Int]]], Box[Int], Box[Int]](
+      boxLens
+    )
+
+  // covers: a MultiFocus[List] outer composed with one inner per family it can morph into the carrier
+  // (Iso via Direct, Lens via Tuple2, Prism via Either, Optional via Affine) — the MF laws plus an
+  // independently computed element-wise expectation and a read-side sum.
+  "MultiFocus[List] outer ∘ each family inner: MF laws + element-wise expectation" >> {
+    val viaIso = mfOuter.andThen(Iso[Box[Int], Box[Int], Int, Int](_.a, Box(_)))
+    val viaLens = mfOuter.andThen(Lens[Box[Int], Int](_.a, (_, m) => Box(m)))
+    val viaPrism = mfOuter.andThen(Prism[Box[Int], Int](b => Right(b.a), Box(_)))
+    val viaOptional =
+      mfOuter.andThen(Optional[Box[Int], Box[Int], Int, Int](b => Right(b.a), sb => Box(sb._2)))
+
+    def pointwise(o: Optic[Box[List[Box[Int]]], Box[List[Box[Int]]], Int, Int, MFL]): Prop =
+      forAll { (bs: List[Box[Int]]) =>
+        val s = Box(bs)
+        o.modify(_ + 1)(s) == Box(bs.map(b => Box(b.a + 1))) &&
+        o.modify(identity[Int])(s) == s &&
+        o.foldMap[Int](identity)(s) == bs.map(_.a).sum
+      }
+
+    pointwise(viaIso) && pointwise(viaLens) && pointwise(viaPrism) && pointwise(viaOptional)
+  }
+
+  // ------------------------------------------------------------------
+  // Outbound: a MultiFocus optic handed *to* every family it can reach. The provenance blocks above
+  // pin "built from a family" (the inbound direction); these pin the other one, and each projection
+  // is checked against the source optic so it cannot drift from the behaviour it projects.
+  // ------------------------------------------------------------------
+
+  /** `MultiFocus[List] → ModifyF` — the write-only projection, for every writable provenance. */
+  private def modifyDirection(o: Optic[List[Int], List[Int], Int, Int, MFL]): Prop =
+    val lifted: Optic[List[Int], List[Int], Int, Int, ModifyF] =
+      summon[Composer[MFL, ModifyF]].to(o)
+    val sameWrites = forAll { (xs: List[Int]) =>
+      lifted.modify(_ + 1)(xs) == o.modify(_ + 1)(xs) &&
+      lifted.replace(7)(xs) == o.replace(7)(xs)
+    }
+    val laws = forAll { (xs: List[Int]) =>
+      val f: Int => Int = _ + 1
+      val g: Int => Int = _ * 3
+      lifted.modify(identity[Int])(xs) == xs &&
+      lifted.modify(g)(lifted.modify(f)(xs)) == lifted.modify(f.andThen(g))(xs)
+    }
+    sameWrites && laws
+
+  "outbound — ModifyF projection of the generic factory: writes match the source" >> modifyDirection(
+    fromGeneric
+  )
+
+  "outbound — ModifyF projection of the Lens bridge: writes match the source" >> modifyDirection(
+    fromLens
+  )
+
+  "outbound — ModifyF projection of the Prism bridge: writes match the source" >> modifyDirection(
+    fromPrism
+  )
+
+  "outbound — ModifyF projection of the Optional bridge: writes match the source" >> modifyDirection(
+    fromOptional
+  )
+
+  "outbound — ModifyF projection of a composite: writes match the source" >> modifyDirection(
+    fromComposite
+  )
+
+  // covers: the polymorphic factory into ModifyF — the projection has to carry a type-changing write,
+  // not just an endomorphism.
+  "outbound — ModifyF projection of the polymorphic factory: type-changing write" >> {
+    val o: Optic[List[Int], List[String], Int, String, MFL] = MultiFocus.pApply[List, Int, String]
+    val lifted: Optic[List[Int], List[String], Int, String, ModifyF] =
+      summon[Composer[MFL, ModifyF]].to(o)
+    forAll { (xs: List[Int]) =>
+      lifted.modify(_.toString)(xs) == o.modify(_.toString)(xs) && lifted.modify(_.toString)(
+        xs
+      ) == xs.map(_.toString)
+    }
+  }
+
+  // covers: `MultiFocus[List] → Forget[List]` — the read-only escape, available on the `T = Unit`
+  // shape (a Forget-carried optic has no write). Its source is a `Fold`, so this is also the one
+  // place the fold family meets the carrier: the escape must read exactly what the fold and the
+  // carrier read.
+  "outbound — Forget[List] escape over a Fold-sourced optic: read matches the source" >> {
+    val mfFold: Optic[List[Int], Unit, Int, Unit, MFL] =
+      summon[Composer[Forget[List], MFL]].to(Fold[List, Int])
+    val escaped: Optic[List[Int], Unit, Int, Unit, Forget[List]] =
+      summon[Composer[MFL, Forget[List]]].to(mfFold)
+    forAll { (xs: List[Int]) =>
+      escaped.to(xs).value == mfFold.to(xs).foci &&
+      escaped.to(xs).value == Fold[List, Int].to(xs).value &&
+      escaped.to(xs).value.sum == xs.sum
+    }
+  }
+
+  // covers: the Function1 (Grate) sub-shape into ModifyF — the absorbed-Grate carrier's outbound
+  // direction, paired with the tabulating factory that builds it.
+  "outbound — ModifyF projection of the Function1 (Grate) tuple: writes match the source" >> {
+    val grate: Optic[(Int, Int, Int), (Int, Int, Int), Int, Int, MultiFocus[Function1[Int, *]]] =
+      MultiFocus.tuple[(Int, Int, Int), Int]
+    val lifted: Optic[(Int, Int, Int), (Int, Int, Int), Int, Int, ModifyF] =
+      summon[Composer[MultiFocus[Function1[Int, *]], ModifyF]].to(grate)
+    forAll { (a: Int, b: Int, c: Int) =>
+      lifted.modify(_ + 1)((a, b, c)) == grate.modify(_ + 1)((a, b, c)) &&
+      lifted.replace(0)((a, b, c)) == grate.replace(0)((a, b, c))
+    }
+  }
+
+  // covers: the other direction — a family outer with a MultiFocus[List] inner, morphed through the
+  // same carrier. Sources are singletons: the inbound `Direct` / `Tuple2` morphs pick the singleton
+  // focus out on the way back (documented), so a multi-focus write is out of their contract.
+  "each family outer ∘ MultiFocus[List] inner: MF laws + pointwise result" >> {
+    val viaIso = Iso[Box[List[Int]], Box[List[Int]], List[Int], List[Int]](_.a, Box(_))
+      .andThen(MultiFocus.apply[List, Int])
+    val viaLens = Lens[Box[List[Int]], List[Int]](_.a, (_, m) => Box(m))
+      .andThen(MultiFocus.apply[List, Int])
+
+    def singleton(o: Optic[Box[List[Int]], Box[List[Int]], Int, Int, MFL]): Prop =
+      forAll { (n: Int) =>
+        val s = Box(List(n))
+        o.modify(_ + 1)(s) == Box(List(n + 1)) &&
+        o.modify(identity[Int])(s) == s &&
+        o.foldMap[Int](identity)(s) == n
+      }
+
+    singleton(viaIso) && singleton(viaLens)
+  }