Average Error: 0.2 → 0.0
Time: 2.3s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[d1 \cdot \left(\left(10 + d2\right) + 20\right)\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
d1 \cdot \left(\left(10 + d2\right) + 20\right)
double f(double d1, double d2) {
        double r220998 = d1;
        double r220999 = 10.0;
        double r221000 = r220998 * r220999;
        double r221001 = d2;
        double r221002 = r220998 * r221001;
        double r221003 = r221000 + r221002;
        double r221004 = 20.0;
        double r221005 = r220998 * r221004;
        double r221006 = r221003 + r221005;
        return r221006;
}
↓
double f(double d1, double d2) {
        double r221007 = d1;
        double r221008 = 10.0;
        double r221009 = d2;
        double r221010 = r221008 + r221009;
        double r221011 = 20.0;
        double r221012 = r221010 + r221011;
        double r221013 = r221007 * r221012;
        return r221013;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020062 
(FPCore (d1 d2)
  :name "FastMath test2"
  :precision binary64

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

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