def frozen_skips

bendtorch-core@0.1.0.0 · src/autograd/tensor_vjp_PROOF.bend:905

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward

905# With a not b, Frozen{a, MatmulNT{a, b, ..}} runs the right product alone.
906def frozen_skips(+a: Nat, +b: Nat, +left: Shape.Shape, +right: Shape.Shape, -saved: Backward.Saved, -g: Core.Dynamic,
907  apart: {Nat.is_eq(a, b) == False{} : Bool}) ->
908  {Backward.vjp_matmul_nt_right(b, right, saved, g) == Backward.vjp(Backward.Frozen{a, Backward.MatmulNT{a, b, left, right}}, saved, g) :
909    Backward.Pass}:
910  %same_refl(a) : {Backward.vjp_matmul_nt_right(b, right, saved, g) ==
911    Backward.nt_frozen(a, a, b, left, right, saved, g, Bool.and(_, Bool.not(Nat.is_eq(a, b)))) : Backward.Pass}
912  %Equal.sym(Bool, Nat.is_eq(a, b), False{}, apart) : {Backward.vjp_matmul_nt_right(b, right, saved, g) ==
913    Backward.nt_frozen(a, a, b, left, right, saved, g, Bool.and(True{}, Bool.not(_))) : Backward.Pass}
914  {==}