[Precision Depth Alignment] paddle.sqrt and paddle.rsqrt accuracy and torch alignment #75367
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zrr1999
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Sep 19, 2025
zhengshengning
merged commit f97f6c8
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PaddlePaddle:develop
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XieYunshen
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Oct 14, 2025
paddle.sqrt and paddle.rsqrt accuracy and torch alignment
risemeup1
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PR Category
Operator Mechanism
PR Types
Bug fixes
Description
简要改动总结
sqrt 反向：由
one_half * dout / out改为dout / (two * out)。常量从 0.5 改为 2，等价重写但计算顺序不同，和 PyTorch 表达一致，可能带来更接近 PyTorch 的舍入结果（尤其在半精度/bfloat16）。rsqrt 反向：公式不变
（-0.5 * dout * out^3），仅将连乘写成(out * out * out)的分组形式，逻辑与之前相同。复测结果：
paddle.sqrt 对齐全部case（共460个）
paddle.rqrt 对齐全部case（共130个）
pcard-67164