Average Error: 0.2 → 0.0
Time: 10.2s
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 r4394312 = d1;
        double r4394313 = 10.0;
        double r4394314 = r4394312 * r4394313;
        double r4394315 = d2;
        double r4394316 = r4394312 * r4394315;
        double r4394317 = r4394314 + r4394316;
        double r4394318 = 20.0;
        double r4394319 = r4394312 * r4394318;
        double r4394320 = r4394317 + r4394319;
        return r4394320;
}
↓
double f(double d1, double d2) {
        double r4394321 = d2;
        double r4394322 = 30.0;
        double r4394323 = r4394321 + r4394322;
        double r4394324 = d1;
        double r4394325 = r4394323 * r4394324;
        return r4394325;
}

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 2019151 +o rules:numerics
(FPCore (d1 d2)
  :name "FastMath test2"

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

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