Average Error: 0.2 → 0.0
Time: 6.3s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(d2 + \left(20 + 10\right)\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(d2 + \left(20 + 10\right)\right) \cdot d1
double f(double d1, double d2) {
        double r145218 = d1;
        double r145219 = 10.0;
        double r145220 = r145218 * r145219;
        double r145221 = d2;
        double r145222 = r145218 * r145221;
        double r145223 = r145220 + r145222;
        double r145224 = 20.0;
        double r145225 = r145218 * r145224;
        double r145226 = r145223 + r145225;
        return r145226;
}
↓
double f(double d1, double d2) {
        double r145227 = d2;
        double r145228 = 20.0;
        double r145229 = 10.0;
        double r145230 = r145228 + r145229;
        double r145231 = r145227 + r145230;
        double r145232 = d1;
        double r145233 = r145231 * r145232;
        return r145233;
}

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

    \[\leadsto \color{blue}{\left(\left(10 + 20\right) + d2\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(20 + 10\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30.0 d2))

  (+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0)))