import { PatternMatcher, type UOp } from './ops.ts';
export declare const reduce_gradient: (ctx: UOp, ret: UOp) => UOp[] | undefined;
export declare const pm_gradient: PatternMatcher<UOp, (UOp | undefined)[] | undefined>;
export declare const _deepwalk: (root: UOp, targets: Set<UOp>) => UOp[];
export declare const compute_gradient: (root: UOp, root_grad: UOp, targets: Set<UOp>) => Map<UOp, UOp>;