Average Error: 0.2 → 0.0
Time: 11.9s
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 r9718941 = d1;
        double r9718942 = 10.0;
        double r9718943 = r9718941 * r9718942;
        double r9718944 = d2;
        double r9718945 = r9718941 * r9718944;
        double r9718946 = r9718943 + r9718945;
        double r9718947 = 20.0;
        double r9718948 = r9718941 * r9718947;
        double r9718949 = r9718946 + r9718948;
        return r9718949;
}
↓
double f(double d1, double d2) {
        double r9718950 = d2;
        double r9718951 = 30.0;
        double r9718952 = r9718950 + r9718951;
        double r9718953 = d1;
        double r9718954 = r9718952 * r9718953;
        return r9718954;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (d1 d2)
  :name "FastMath test2"

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

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