Average Error: 0.2 → 0.0
Time: 17.6s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(30 + d2\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(30 + d2\right) \cdot d1
double f(double d1, double d2) {
        double r8449516 = d1;
        double r8449517 = 10.0;
        double r8449518 = r8449516 * r8449517;
        double r8449519 = d2;
        double r8449520 = r8449516 * r8449519;
        double r8449521 = r8449518 + r8449520;
        double r8449522 = 20.0;
        double r8449523 = r8449516 * r8449522;
        double r8449524 = r8449521 + r8449523;
        return r8449524;
}
↓
double f(double d1, double d2) {
        double r8449525 = 30.0;
        double r8449526 = d2;
        double r8449527 = r8449525 + r8449526;
        double r8449528 = d1;
        double r8449529 = r8449527 * r8449528;
        return r8449529;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019149 +o rules:numerics
(FPCore (d1 d2)
  :name "FastMath test2"

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

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