Average Error: 0.0 → 0.0
Time: 4.7m
Precision: 64
Internal Precision: 1088
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 5\right) + \left(32 + d2\right)\right)\]

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

  1. Inputs

  2. Original Output:

    Herbie Output:

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Applied simplify0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(d3 + 5\right) + \left(32 + d2\right)\right)}\]

Runtime

Time bar (total: 4.7m)Debug logProfile

herbie shell --seed '#(1072361757 3390613284 2339397988 1175251238 145061547 3101881848)' +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))