Average Error: 0.2 → 0.0
Time: 3.0s
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 r433208 = d1;
        double r433209 = 10.0;
        double r433210 = r433208 * r433209;
        double r433211 = d2;
        double r433212 = r433208 * r433211;
        double r433213 = r433210 + r433212;
        double r433214 = 20.0;
        double r433215 = r433208 * r433214;
        double r433216 = r433213 + r433215;
        return r433216;
}
↓
double f(double d1, double d2) {
        double r433217 = d1;
        double r433218 = 10.0;
        double r433219 = d2;
        double r433220 = r433218 + r433219;
        double r433221 = 20.0;
        double r433222 = r433220 + r433221;
        double r433223 = r433217 * r433222;
        return r433223;
}

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 2020001 
(FPCore (d1 d2)
  :name "FastMath test2"
  :precision binary64

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

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