Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r354356 = d1;
        double r354357 = d2;
        double r354358 = r354356 * r354357;
        double r354359 = d3;
        double r354360 = 5.0;
        double r354361 = r354359 + r354360;
        double r354362 = r354361 * r354356;
        double r354363 = r354358 + r354362;
        double r354364 = 32.0;
        double r354365 = r354356 * r354364;
        double r354366 = r354363 + r354365;
        return r354366;
}
↓
double f(double d1, double d2, double d3) {
        double r354367 = d1;
        double r354368 = d2;
        double r354369 = d3;
        double r354370 = 5.0;
        double r354371 = r354369 + r354370;
        double r354372 = 32.0;
        double r354373 = r354371 + r354372;
        double r354374 = r354368 + r354373;
        double r354375 = r354367 * r354374;
        return r354375;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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