Average Error: 0.2 → 0.0
Time: 22.3s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(d2 + 30\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(d2 + 30\right) \cdot d1
double f(double d1, double d2) {
        double r45570026 = d1;
        double r45570027 = 10.0;
        double r45570028 = r45570026 * r45570027;
        double r45570029 = d2;
        double r45570030 = r45570026 * r45570029;
        double r45570031 = r45570028 + r45570030;
        double r45570032 = 20.0;
        double r45570033 = r45570026 * r45570032;
        double r45570034 = r45570031 + r45570033;
        return r45570034;
}
↓
double f(double d1, double d2) {
        double r45570035 = d2;
        double r45570036 = 30.0;
        double r45570037 = r45570035 + r45570036;
        double r45570038 = d1;
        double r45570039 = r45570037 * r45570038;
        return r45570039;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + 30\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + 30\right) \cdot d1\]

Reproduce

herbie shell --seed 2019124 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30 d2))

  (+ (+ (* d1 10) (* d1 d2)) (* d1 20)))