Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r283711 = d1;
        double r283712 = d2;
        double r283713 = r283711 * r283712;
        double r283714 = d3;
        double r283715 = 5.0;
        double r283716 = r283714 + r283715;
        double r283717 = r283716 * r283711;
        double r283718 = r283713 + r283717;
        double r283719 = 32.0;
        double r283720 = r283711 * r283719;
        double r283721 = r283718 + r283720;
        return r283721;
}
↓
double f(double d1, double d2, double d3) {
        double r283722 = d1;
        double r283723 = d3;
        double r283724 = 5.0;
        double r283725 = r283723 + r283724;
        double r283726 = 32.0;
        double r283727 = r283725 + r283726;
        double r283728 = d2;
        double r283729 = r283727 + r283728;
        double r283730 = r283722 * r283729;
        return r283730;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020043 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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