Average Error: 0.1 → 0
Time: 3.7s
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 r401015 = d1;
        double r401016 = r401015 * r401015;
        double r401017 = r401015 * r401016;
        double r401018 = r401017 * r401015;
        double r401019 = r401018 * r401015;
        double r401020 = r401019 * r401016;
        double r401021 = r401020 * r401015;
        double r401022 = r401015 * r401021;
        double r401023 = r401022 * r401015;
        return r401023;
}
↓
double f(double d1) {
        double r401024 = d1;
        double r401025 = 10.0;
        double r401026 = pow(r401024, r401025);
        return r401026;
}

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 2019198 
(FPCore (d1)
  :name "FastMath test5"

  :herbie-target
  (pow d1 10.0)

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