Average Error: 0.1 → 0
Time: 3.0s
Precision: 64
\[\left(d1 \cdot \left(\left(\left(\left(\left(d1 \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right) \cdot d1\right) \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right)\right) \cdot d1\]
↓
\[{d1}^{10}\]
\left(d1 \cdot \left(\left(\left(\left(\left(d1 \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right) \cdot d1\right) \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right)\right) \cdot d1
↓
{d1}^{10}
double f(double d1) {
        double r211970 = d1;
        double r211971 = r211970 * r211970;
        double r211972 = r211970 * r211971;
        double r211973 = r211972 * r211970;
        double r211974 = r211973 * r211970;
        double r211975 = r211974 * r211971;
        double r211976 = r211975 * r211970;
        double r211977 = r211970 * r211976;
        double r211978 = r211977 * r211970;
        return r211978;
}
↓
double f(double d1) {
        double r211979 = d1;
        double r211980 = 10.0;
        double r211981 = pow(r211979, r211980);
        return r211981;
}

Error

Bits error versus d1

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0
Herbie0
\[{d1}^{10}\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot \left(\left(\left(\left(\left(d1 \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right) \cdot d1\right) \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right)\right) \cdot d1\]

  2. Simplified0

    \[\leadsto \color{blue}{{d1}^{10}}\]

  3. Final simplification0

    \[\leadsto {d1}^{10}\]

Reproduce

herbie shell --seed 2019194 
(FPCore (d1)
  :name "FastMath test5"

  :herbie-target
  (pow d1 10.0)

  (* (* d1 (* (* (* (* (* d1 (* d1 d1)) d1) d1) (* d1 d1)) d1)) d1))