Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r282886 = d1;
        double r282887 = d2;
        double r282888 = r282886 * r282887;
        double r282889 = d3;
        double r282890 = 5.0;
        double r282891 = r282889 + r282890;
        double r282892 = r282891 * r282886;
        double r282893 = r282888 + r282892;
        double r282894 = 32.0;
        double r282895 = r282886 * r282894;
        double r282896 = r282893 + r282895;
        return r282896;
}
↓
double f(double d1, double d2, double d3) {
        double r282897 = d1;
        double r282898 = d2;
        double r282899 = r282897 * r282898;
        double r282900 = d3;
        double r282901 = 5.0;
        double r282902 = r282900 + r282901;
        double r282903 = 32.0;
        double r282904 = r282902 + r282903;
        double r282905 = r282897 * r282904;
        double r282906 = r282899 + r282905;
        return r282906;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019353 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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