Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
Internal Precision: 576
\[d1 \cdot d2 + d1 \cdot d3\]
↓
\[(d1 \cdot d2 + \left(d1 \cdot d3\right))_*\]

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Target

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

Derivation

  1. Initial program 0.0

    \[d1 \cdot d2 + d1 \cdot d3\]
  2. Using strategy rm

  3. Applied fma-def0.0

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

  4. Final simplification0.0

    \[\leadsto (d1 \cdot d2 + \left(d1 \cdot d3\right))_*\]

Runtime

Time bar (total: 3.9s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.00.00.00.00%
herbie shell --seed 2018339 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist"

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

  (+ (* d1 d2) (* d1 d3)))