ReduceReplayedProof.tree_node_eq: def of bendtorch-core@0.1.0.0 Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend as ReduceReplayedProof Lines 776-792 of bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&start_line=776&end_line=792 import Base import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape import bendtorch-core@0.1.0.0/src/storage/model.bend as Model import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws import bendtorch-core@0.1.0.0/src/storage/api.bend as Api import bendtorch-core@0.1.0.0/src/tensor/parallel.bend as Parallel import bendtorch-core@0.1.0.0/src/autograd/reduce.bend as Reduce def tree_node_eq(+plan: Shape.BroadcastPlan, +rows: List<&2, Shape.Row>, +rows_exact: {rows == Shape.index_table(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan))) : List<&2, Shape.Row>}, +shape: Shape.Shape, +fill: F32, +ops: List<&2, StorageLaws.Op>, +h: List<&2, Api.Effect>, +d: Nat, +f: F32, +count: Nat, +lower: Nat, +base: Nat, low: Array & (Array & Unit), facts: TreeEq(plan, rows, rows_exact, shape, fill, ops, h, d, f, count, lower, base, low), next: TreeEq(plan, rows, rows_exact, shape, fill, ops, h, d, f, count, lower, Nat.add(Model.capacity(lower), base), Parallel.tree(~Reduce.Fibers, ~Array, ~Unit, ~Reduce.cell_at, Reduce.fibers(Reduce.Fibers{rows, Shape.extents(Shape.output_shape(plan))}), lower, count, Nat.add(Model.capacity(lower), base), (Api.arr(h, d, f), Unit{})))) -> TreeEq(plan, rows, rows_exact, shape, fill, ops, h, d, f, count, 1n+lower, base, Parallel.node(~Array, ~Unit, l => r => Parallel.tree(~Reduce.Fibers, ~Array, ~Unit, ~Reduce.cell_at, Reduce.fibers(Reduce.Fibers{rows, Shape.extents(Shape.output_shape(plan))}), lower, count, Nat.add(Model.capacity(lower), base), (l, r)), low)): (a, state) = low (array, none) = state (ea, ek) = facts %Equal.sym(Array & Unit, (array, none), (Api.arr(h, d, f), Unit{}), ek) : TreeEq(plan, rows, rows_exact, shape, fill, ops, h, d, f, count, 1n+lower, base, Parallel.join(~(Array & Unit), a, Parallel.tree(~Reduce.Fibers, ~Array, ~Unit, ~Reduce.cell_at, Reduce.fibers(Reduce.Fibers{rows, Shape.extents(Shape.output_shape(plan))}), lower, count, Nat.add(Model.capacity(lower), base), _))) tree_join_eq(plan, rows, rows_exact, shape, fill, ops, h, d, f, count, lower, base, a, Parallel.tree(~Reduce.Fibers, ~Array, ~Unit, ~Reduce.cell_at, Reduce.fibers(Reduce.Fibers{rows, Shape.extents(Shape.output_shape(plan))}), lower, count, Nat.add(Model.capacity(lower), base), (Api.arr(h, d, f), Unit{})), ea, next) Uses (29): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32 https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Unit https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce.bend&name=Fibers https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce.bend&name=cell_at https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce.bend&name=fibers https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&name=TreeEq https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&name=tree_join_eq https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Row https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=extents https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=index_table https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=left_shape https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=output_shape https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=right_shape https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=Effect https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=arr https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=capacity https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel.bend&name=join https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel.bend&name=node https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel.bend&name=tree