Average Error: 0.2 → 0.3
Time: 2.0s
Precision: 64
\[\left(3 \cdot \left(2 - x \cdot 3\right)\right) \cdot x\]
↓
\[3 \cdot \left(\left(2 - x \cdot 3\right) \cdot x\right)\]
\left(3 \cdot \left(2 - x \cdot 3\right)\right) \cdot x
↓
3 \cdot \left(\left(2 - x \cdot 3\right) \cdot x\right)
double f(double x) {
        double r617561 = 3.0;
        double r617562 = 2.0;
        double r617563 = x;
        double r617564 = r617563 * r617561;
        double r617565 = r617562 - r617564;
        double r617566 = r617561 * r617565;
        double r617567 = r617566 * r617563;
        return r617567;
}
↓
double f(double x) {
        double r617568 = 3.0;
        double r617569 = 2.0;
        double r617570 = x;
        double r617571 = r617570 * r617568;
        double r617572 = r617569 - r617571;
        double r617573 = r617572 * r617570;
        double r617574 = r617568 * r617573;
        return r617574;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.3
\[6 \cdot x - 9 \cdot \left(x \cdot x\right)\]

Derivation

  1. Initial program 0.2

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

  3. Applied associate-*l*0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2020027 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E"
  :precision binary64

  :herbie-target
  (- (* 6 x) (* 9 (* x x)))

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