Average Error: 0.1 → 0
Time: 4.4s
Precision: 64
\[\left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot d1\]
↓
\[{d1}^{4}\]
\left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot d1
↓
{d1}^{4}
double f(double d1) {
        double r3631002 = d1;
        double r3631003 = r3631002 * r3631002;
        double r3631004 = r3631003 * r3631002;
        double r3631005 = r3631004 * r3631002;
        return r3631005;
}
↓
double f(double d1) {
        double r3631006 = d1;
        double r3631007 = 4.0;
        double r3631008 = pow(r3631006, r3631007);
        return r3631008;
}

Error

Bits error versus d1

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0
Herbie0
\[{d1}^{4}\]

Derivation

  1. Initial program 0.1

    \[\left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot d1\]
  2. Using strategy rm

  3. Applied pow10.1

    \[\leadsto \left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot \color{blue}{{d1}^{1}}\]

  4. Applied pow30.1

    \[\leadsto \color{blue}{{d1}^{3}} \cdot {d1}^{1}\]

  5. Applied pow-prod-up0

    \[\leadsto \color{blue}{{d1}^{\left(3 + 1\right)}}\]

  6. Simplified0

    \[\leadsto {d1}^{\color{blue}{4}}\]

  7. Final simplification0

    \[\leadsto {d1}^{4}\]

Reproduce

herbie shell --seed 2019152 
(FPCore (d1)
  :name "FastMath repmul"

  :herbie-target
  (pow d1 4)

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