Average Error: 0.2 → 0.0
Time: 10.3s
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 r8249967 = d1;
        double r8249968 = 10.0;
        double r8249969 = r8249967 * r8249968;
        double r8249970 = d2;
        double r8249971 = r8249967 * r8249970;
        double r8249972 = r8249969 + r8249971;
        double r8249973 = 20.0;
        double r8249974 = r8249967 * r8249973;
        double r8249975 = r8249972 + r8249974;
        return r8249975;
}
↓
double f(double d1, double d2) {
        double r8249976 = d2;
        double r8249977 = 30.0;
        double r8249978 = r8249976 + r8249977;
        double r8249979 = d1;
        double r8249980 = r8249978 * r8249979;
        return r8249980;
}

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 2019130 
(FPCore (d1 d2)
  :name "FastMath test2"

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

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