diff --git a/linker/src/lib.rs b/linker/src/lib.rs
index 9999fa042..362dac016 100644
--- a/linker/src/lib.rs
+++ b/linker/src/lib.rs
@@ -879,7 +879,7 @@ namespace main_vm(64..128);
     fn permutation_instructions() {
         let expected = r#"namespace main(128);
     let _operation_id;
-    query |__i| std::prover::provide_if_unknown(_operation_id, __i, || 13);
+    query |__i| std::prover::provide_if_unknown(_operation_id, __i, || 9);
     pol constant _block_enforcer_last_step = [0]* + [1];
     let _operation_id_no_change = (1 - _block_enforcer_last_step) * (1 - instr_return);
     _operation_id_no_change * (_operation_id' - _operation_id) = 0;
@@ -896,7 +896,6 @@ namespace main_vm(64..128);
     pol commit reg_write_Z_B;
     pol commit B;
     pol commit instr_or;
-    pol commit instr_or_into_B;
     pol commit instr_assert_eq;
     std::constraints::make_conditional(X = Y, instr_assert_eq);
     pol commit instr__jump_to_operation;
@@ -923,35 +922,33 @@ namespace main_vm(64..128);
     Z = read_Z_A * A + read_Z_B * B + read_Z_pc * pc + Z_const + Z_read_free * Z_free_value;
     pol constant first_step = [1] + [0]*;
     A' = reg_write_X_A * X + reg_write_Y_A * Y + reg_write_Z_A * Z + instr__reset * 0 + (1 - (reg_write_X_A + reg_write_Y_A + reg_write_Z_A + instr__reset)) * A;
-    B' = reg_write_X_B * X + reg_write_Y_B * Y + reg_write_Z_B * Z + instr_or_into_B * B' + instr__reset * 0 + (1 - (reg_write_X_B + reg_write_Y_B + reg_write_Z_B + instr_or_into_B + instr__reset)) * B;
+    B' = reg_write_X_B * X + reg_write_Y_B * Y + reg_write_Z_B * Z + instr__reset * 0 + (1 - (reg_write_X_B + reg_write_Y_B + reg_write_Z_B + instr__reset)) * B;
     pol commit pc_update;
     pc_update = instr__jump_to_operation * _operation_id + instr__loop * pc + instr_return * 0 + (1 - (instr__jump_to_operation + instr__loop + instr_return)) * (pc + 1);
     pc' = (1 - first_step') * pc_update;
     pol commit X_free_value;
     pol commit Y_free_value;
     pol commit Z_free_value;
-    instr_or_into_B $ [0, X, Y, B'] is main_bin::latch * main_bin::sel[0] $ [main_bin::operation_id, main_bin::A, main_bin::B, main_bin::C];
-    1 $ [0, pc, reg_write_X_A, reg_write_Y_A, reg_write_Z_A, reg_write_X_B, reg_write_Y_B, reg_write_Z_B, instr_or, instr_or_into_B, instr_assert_eq, instr__jump_to_operation, instr__reset, instr__loop, instr_return, X_const, X_read_free, read_X_A, read_X_B, read_X_pc, Y_const, Y_read_free, read_Y_A, read_Y_B, read_Y_pc, Z_const, Z_read_free, read_Z_A, read_Z_B, read_Z_pc] in main__rom::latch $ [main__rom::operation_id, main__rom::p_line, main__rom::p_reg_write_X_A, main__rom::p_reg_write_Y_A, main__rom::p_reg_write_Z_A, main__rom::p_reg_write_X_B, main__rom::p_reg_write_Y_B, main__rom::p_reg_write_Z_B, main__rom::p_instr_or, main__rom::p_instr_or_into_B, main__rom::p_instr_assert_eq, main__rom::p_instr__jump_to_operation, main__rom::p_instr__reset, main__rom::p_instr__loop, main__rom::p_instr_return, main__rom::p_X_const, main__rom::p_X_read_free, main__rom::p_read_X_A, main__rom::p_read_X_B, main__rom::p_read_X_pc, main__rom::p_Y_const, main__rom::p_Y_read_free, main__rom::p_read_Y_A, main__rom::p_read_Y_B, main__rom::p_read_Y_pc, main__rom::p_Z_const, main__rom::p_Z_read_free, main__rom::p_read_Z_A, main__rom::p_read_Z_B, main__rom::p_read_Z_pc];
-    instr_or $ [0, X, Y, Z] is main_bin::latch * main_bin::sel[1] $ [main_bin::operation_id, main_bin::A, main_bin::B, main_bin::C];
+    1 $ [0, pc, reg_write_X_A, reg_write_Y_A, reg_write_Z_A, reg_write_X_B, reg_write_Y_B, reg_write_Z_B, instr_or, instr_assert_eq, instr__jump_to_operation, instr__reset, instr__loop, instr_return, X_const, X_read_free, read_X_A, read_X_B, read_X_pc, Y_const, Y_read_free, read_Y_A, read_Y_B, read_Y_pc, Z_const, Z_read_free, read_Z_A, read_Z_B, read_Z_pc] in main__rom::latch $ [main__rom::operation_id, main__rom::p_line, main__rom::p_reg_write_X_A, main__rom::p_reg_write_Y_A, main__rom::p_reg_write_Z_A, main__rom::p_reg_write_X_B, main__rom::p_reg_write_Y_B, main__rom::p_reg_write_Z_B, main__rom::p_instr_or, main__rom::p_instr_assert_eq, main__rom::p_instr__jump_to_operation, main__rom::p_instr__reset, main__rom::p_instr__loop, main__rom::p_instr_return, main__rom::p_X_const, main__rom::p_X_read_free, main__rom::p_read_X_A, main__rom::p_read_X_B, main__rom::p_read_X_pc, main__rom::p_Y_const, main__rom::p_Y_read_free, main__rom::p_read_Y_A, main__rom::p_read_Y_B, main__rom::p_read_Y_pc, main__rom::p_Z_const, main__rom::p_Z_read_free, main__rom::p_read_Z_A, main__rom::p_read_Z_B, main__rom::p_read_Z_pc];
+    instr_or $ [0, X, Y, Z] is main_bin::latch * main_bin::sel[0] $ [main_bin::operation_id, main_bin::A, main_bin::B, main_bin::C];
     pol constant _linker_first_step(i) { if i == 0 { 1 } else { 0 } };
     _linker_first_step * (_operation_id - 2) = 0;
 namespace main__rom(128);
-    pol constant p_line = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13] + [13]*;
-    pol constant p_X_const = [0, 0, 2, 0, 1, 0, 3, 0, 2, 0, 1, 0, 0, 0] + [0]*;
+    pol constant p_line = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] + [9]*;
+    pol constant p_X_const = [0, 0, 2, 0, 1, 0, 3, 0, 0, 0] + [0]*;
     pol constant p_X_read_free = [0]*;
-    pol constant p_Y_const = [0, 0, 3, 3, 2, 3, 4, 7, 3, 3, 2, 3, 0, 0] + [0]*;
+    pol constant p_Y_const = [0, 0, 3, 3, 2, 3, 4, 7, 0, 0] + [0]*;
     pol constant p_Y_read_free = [0]*;
     pol constant p_Z_const = [0]*;
-    pol constant p_Z_read_free = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] + [0]*;
-    pol constant p_instr__jump_to_operation = [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + [0]*;
-    pol constant p_instr__loop = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1] + [1]*;
-    pol constant p_instr__reset = [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + [0]*;
-    pol constant p_instr_assert_eq = [0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0] + [0]*;
-    pol constant p_instr_or = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] + [0]*;
-    pol constant p_instr_or_into_B = [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] + [0]*;
-    pol constant p_instr_return = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] + [0]*;
-    pol constant p_read_X_A = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0] + [0]*;
-    pol constant p_read_X_B = [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0] + [0]*;
+    pol constant p_Z_read_free = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0] + [0]*;
+    pol constant p_instr__jump_to_operation = [0, 1, 0, 0, 0, 0, 0, 0, 0, 0] + [0]*;
+    pol constant p_instr__loop = [0, 0, 0, 0, 0, 0, 0, 0, 0, 1] + [1]*;
+    pol constant p_instr__reset = [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] + [0]*;
+    pol constant p_instr_assert_eq = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0] + [0]*;
+    pol constant p_instr_or = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0] + [0]*;
+    pol constant p_instr_return = [0, 0, 0, 0, 0, 0, 0, 0, 1, 0] + [0]*;
+    pol constant p_read_X_A = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0] + [0]*;
+    pol constant p_read_X_B = [0]*;
     pol constant p_read_X_pc = [0]*;
     pol constant p_read_Y_A = [0]*;
     pol constant p_read_Y_B = [0]*;
@@ -963,7 +960,7 @@ namespace main__rom(128);
     pol constant p_reg_write_X_B = [0]*;
     pol constant p_reg_write_Y_A = [0]*;
     pol constant p_reg_write_Y_B = [0]*;
-    pol constant p_reg_write_Z_A = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] + [0]*;
+    pol constant p_reg_write_Z_A = [0, 0, 1, 0, 1, 0, 1, 0, 0, 0] + [0]*;
     pol constant p_reg_write_Z_B = [0]*;
     pol constant operation_id = [0]*;
     pol constant latch = [1]*;
@@ -971,6 +968,7 @@ namespace main_bin(128);
     pol commit operation_id;
     pol constant latch(i) { if i % 8 == 7 { 1 } else { 0 } };
     let sum_sel = std::array::sum(sel);
+    std::utils::force_bool(sum_sel);
     pol constant FACTOR(i) { 1 << (i + 1) % 8 * 4 };
     let a = |i| i % 16;
     pol constant P_A(i) { a(i) };
@@ -987,7 +985,7 @@ namespace main_bin(128);
     B' = B * (1 - latch) + B_byte * FACTOR;
     C' = C * (1 - latch) + C_byte * FACTOR;
     [A_byte, B_byte, C_byte] in [P_A, P_B, P_C];
-    pol commit sel[2];
+    pol commit sel[1];
     std::array::map(sel, std::utils::force_bool);
 "#;
         let file_name = "../test_data/asm/permutations/vm_to_block.asm";
diff --git a/pipeline/src/test_util.rs b/pipeline/src/test_util.rs
index f274155f2..d66c6b0a3 100644
--- a/pipeline/src/test_util.rs
+++ b/pipeline/src/test_util.rs
@@ -267,7 +267,12 @@ pub fn gen_halo2_proof(pipeline: Pipeline<Bn254Field>, backend: BackendVariant)
     // Setup
     let output_dir = pipeline.output_dir().clone().unwrap();
     let setup_file_path = output_dir.join("params.bin");
-    let max_degree = pil.degrees().into_iter().max().unwrap();
+    let max_degree = pil
+        .degree_ranges()
+        .into_iter()
+        .map(|range| range.max)
+        .max()
+        .unwrap();
     buffered_write_file(&setup_file_path, |writer| {
         powdr_backend::BackendType::Halo2
             .factory::<Bn254Field>()
diff --git a/test_data/asm/permutations/binary4.asm b/test_data/asm/permutations/binary4.asm
index e4d2588e7..ac1826b42 100644
--- a/test_data/asm/permutations/binary4.asm
+++ b/test_data/asm/permutations/binary4.asm
@@ -13,6 +13,7 @@ machine Binary4 with
 
     // check that we can reference the call_selectors
     let sum_sel = std::array::sum(sel);
+    std::utils::force_bool(sum_sel);
 
     col fixed FACTOR(i) { 1 << (((i + 1) % 8) * 4) };
 
diff --git a/test_data/asm/permutations/block_to_block.asm b/test_data/asm/permutations/block_to_block.asm
index 0573713ba..0db0598a4 100644
--- a/test_data/asm/permutations/block_to_block.asm
+++ b/test_data/asm/permutations/block_to_block.asm
@@ -43,9 +43,7 @@ machine Main with degree: 256 {
     Binary4 bin;
     Binary4x bin4;
 
-    // two permutations to machine bin
     instr or X, Y -> Z link ~> Z = bin.or(X, Y);
-    instr or_into_B X, Y link ~> B' = bin.or(X, Y);
 
     // permutation to machine bin4
     instr or4 X, Y, Z, W -> R link ~> R = bin4.or4(X, Y, Z, W);
@@ -58,11 +56,6 @@ machine Main with degree: 256 {
         A <== or(1,2);
         assert_eq A, 3;
 
-        or_into_B 2,3;
-        assert_eq B, 3;
-        or_into_B 1,2;
-        assert_eq B, 3;
-
         A <== or4(1,2,4,8);
         assert_eq A, 15;
         A <== or4(15,16,32,64);
diff --git a/test_data/asm/permutations/vm_to_block.asm b/test_data/asm/permutations/vm_to_block.asm
index f300e4a52..236b54e1b 100644
--- a/test_data/asm/permutations/vm_to_block.asm
+++ b/test_data/asm/permutations/vm_to_block.asm
@@ -11,9 +11,7 @@ machine Main with degree: 128 {
 
     Binary4 bin;
 
-    // two permutations to machine bin
     instr or X, Y -> Z link ~> Z = bin.or(X, Y);
-    instr or_into_B X, Y link ~> B' = bin.or(X, Y);
 
     instr assert_eq X, Y { X = Y }
 
@@ -25,11 +23,6 @@ machine Main with degree: 128 {
         A <== or(3,4);
         assert_eq A, 7;
 
-        or_into_B 2,3;
-        assert_eq B, 3;
-        or_into_B 1,2;
-        assert_eq B, 3;
-
         return;
     }
 }
diff --git a/test_data/asm/permutations/vm_to_block_multiple_links.asm b/test_data/asm/permutations/vm_to_block_multiple_links.asm
index 7bed5317a..268a00420 100644
--- a/test_data/asm/permutations/vm_to_block_multiple_links.asm
+++ b/test_data/asm/permutations/vm_to_block_multiple_links.asm
@@ -14,32 +14,11 @@ machine Main with degree: 32 {
     instr sub X, Y -> Z link ~> Z = arith.sub(X, Y);
     instr assert_eq X, Y { X = Y }
 
-    // instructions activating multiple permutations
-    instr add_one X -> Y
-    link ~> B = arith.add(X, 2)
-    link ~> Y = arith.sub(B, 1)
-    {
-    }
-
-    // multiple links with flags
-    instr add_or_sub X, Y -> Z
-    link if ADD ~> Z = arith.add(X, Y)
-    link if (1 - ADD) ~> Z = arith.sub(X, Y);
-
     function main {
         A <== add(1, 1);
         A <== add(A, 1);
         A <== sub(A, 1);
         assert_eq A, 2;
-        A <== add_one(A);
-        assert_eq A, 3;
-
-        ADD <=X= 1;
-        A <== add_or_sub(2,5);
-        assert_eq A, 7;
-        ADD <=X= 0;
-        A <== add_or_sub(A,5);
-        assert_eq A, 2;
 
         return;
     }