Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r293346 = d1;
        double r293347 = d2;
        double r293348 = r293346 * r293347;
        double r293349 = d3;
        double r293350 = 5.0;
        double r293351 = r293349 + r293350;
        double r293352 = r293351 * r293346;
        double r293353 = r293348 + r293352;
        double r293354 = 32.0;
        double r293355 = r293346 * r293354;
        double r293356 = r293353 + r293355;
        return r293356;
}
↓
double f(double d1, double d2, double d3) {
        double r293357 = d1;
        double r293358 = 32.0;
        double r293359 = d2;
        double r293360 = d3;
        double r293361 = 5.0;
        double r293362 = r293360 + r293361;
        double r293363 = r293359 + r293362;
        double r293364 = r293358 + r293363;
        double r293365 = r293357 * r293364;
        return r293365;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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