Average Error: 0.2 → 0.0
Time: 9.2s
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 r8329430 = d1;
        double r8329431 = 10.0;
        double r8329432 = r8329430 * r8329431;
        double r8329433 = d2;
        double r8329434 = r8329430 * r8329433;
        double r8329435 = r8329432 + r8329434;
        double r8329436 = 20.0;
        double r8329437 = r8329430 * r8329436;
        double r8329438 = r8329435 + r8329437;
        return r8329438;
}
↓
double f(double d1, double d2) {
        double r8329439 = d2;
        double r8329440 = 30.0;
        double r8329441 = r8329439 + r8329440;
        double r8329442 = d1;
        double r8329443 = r8329441 * r8329442;
        return r8329443;
}

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 2019158 +o rules:numerics
(FPCore (d1 d2)
  :name "FastMath test2"

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

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