Average Error: 0.1 → 0
Time: 3.1s
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 r270476 = d1;
        double r270477 = r270476 * r270476;
        double r270478 = r270476 * r270477;
        double r270479 = r270478 * r270476;
        double r270480 = r270479 * r270476;
        double r270481 = r270480 * r270477;
        double r270482 = r270481 * r270476;
        double r270483 = r270476 * r270482;
        double r270484 = r270483 * r270476;
        return r270484;
}
↓
double f(double d1) {
        double r270485 = d1;
        double r270486 = 10.0;
        double r270487 = pow(r270485, r270486);
        return r270487;
}

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 2019174 
(FPCore (d1)
  :name "FastMath test5"

  :herbie-target
  (pow d1 10.0)

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