Average Error: 0.2 → 0.2
Time: 2.4s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)
double f(double x) {
        double r863176 = x;
        double r863177 = r863176 * r863176;
        double r863178 = 3.0;
        double r863179 = 2.0;
        double r863180 = r863176 * r863179;
        double r863181 = r863178 - r863180;
        double r863182 = r863177 * r863181;
        return r863182;
}
↓
double f(double x) {
        double r863183 = x;
        double r863184 = 3.0;
        double r863185 = 2.0;
        double r863186 = r863183 * r863185;
        double r863187 = r863184 - r863186;
        double r863188 = r863183 * r863187;
        double r863189 = r863183 * r863188;
        return r863189;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
\[x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto \color{blue}{x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)}\]

  4. Final simplification0.2

    \[\leadsto x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]

Reproduce

herbie shell --seed 2020065 
(FPCore (x)
  :name "Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2"
  :precision binary64

  :herbie-target
  (* x (* x (- 3 (* x 2))))

  (* (* x x) (- 3 (* x 2))))