Average Error: 0.2 → 0.0
Time: 1.4s
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 r12312718 = d1;
        double r12312719 = 10.0;
        double r12312720 = r12312718 * r12312719;
        double r12312721 = d2;
        double r12312722 = r12312718 * r12312721;
        double r12312723 = r12312720 + r12312722;
        double r12312724 = 20.0;
        double r12312725 = r12312718 * r12312724;
        double r12312726 = r12312723 + r12312725;
        return r12312726;
}
↓
double f(double d1, double d2) {
        double r12312727 = d2;
        double r12312728 = 30.0;
        double r12312729 = r12312727 + r12312728;
        double r12312730 = d1;
        double r12312731 = r12312729 * r12312730;
        return r12312731;
}

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 2019129 
(FPCore (d1 d2)
  :name "FastMath test2"

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

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