Average Error: 0.2 → 0.0
Time: 9.2s
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 r2920280 = d1;
        double r2920281 = 10.0;
        double r2920282 = r2920280 * r2920281;
        double r2920283 = d2;
        double r2920284 = r2920280 * r2920283;
        double r2920285 = r2920282 + r2920284;
        double r2920286 = 20.0;
        double r2920287 = r2920280 * r2920286;
        double r2920288 = r2920285 + r2920287;
        return r2920288;
}
↓
double f(double d1, double d2) {
        double r2920289 = 30.0;
        double r2920290 = d2;
        double r2920291 = r2920289 + r2920290;
        double r2920292 = d1;
        double r2920293 = r2920291 * r2920292;
        return r2920293;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019155 
(FPCore (d1 d2)
  :name "FastMath test2"

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

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