Average Error: 0.2 → 0.0
Time: 14.7s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(d2 + \left(20 + 10\right)\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(d2 + \left(20 + 10\right)\right) \cdot d1
double f(double d1, double d2) {
        double r11472931 = d1;
        double r11472932 = 10.0;
        double r11472933 = r11472931 * r11472932;
        double r11472934 = d2;
        double r11472935 = r11472931 * r11472934;
        double r11472936 = r11472933 + r11472935;
        double r11472937 = 20.0;
        double r11472938 = r11472931 * r11472937;
        double r11472939 = r11472936 + r11472938;
        return r11472939;
}
↓
double f(double d1, double d2) {
        double r11472940 = d2;
        double r11472941 = 20.0;
        double r11472942 = 10.0;
        double r11472943 = r11472941 + r11472942;
        double r11472944 = r11472940 + r11472943;
        double r11472945 = d1;
        double r11472946 = r11472944 * r11472945;
        return r11472946;
}

Error

Bits error versus d1

Bits error versus d2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.0
\[d1 \cdot \left(30 + d2\right)\]

Derivation

  1. Initial program 0.2

    \[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(10 + 20\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(20 + 10\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019170 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30.0 d2))

  (+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0)))