Average Error: 0.0 → 0.0
Time: 2.5s
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 r306719 = d1;
        double r306720 = d2;
        double r306721 = r306719 * r306720;
        double r306722 = d3;
        double r306723 = 5.0;
        double r306724 = r306722 + r306723;
        double r306725 = r306724 * r306719;
        double r306726 = r306721 + r306725;
        double r306727 = 32.0;
        double r306728 = r306719 * r306727;
        double r306729 = r306726 + r306728;
        return r306729;
}
↓
double f(double d1, double d2, double d3) {
        double r306730 = d1;
        double r306731 = d2;
        double r306732 = d3;
        double r306733 = 5.0;
        double r306734 = r306732 + r306733;
        double r306735 = 32.0;
        double r306736 = r306734 + r306735;
        double r306737 = r306731 + r306736;
        double r306738 = r306730 * r306737;
        return r306738;
}

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 2019354 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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