Average Error: 0.1 → 0.1
Time: 23.6s
Precision: 64
\[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
↓
\[\left(0.9549296585513720181381813745247200131416 - 0.1290061377327979819096270830414141528308 \cdot \left(x \cdot x\right)\right) \cdot x\]
0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)
↓
\left(0.9549296585513720181381813745247200131416 - 0.1290061377327979819096270830414141528308 \cdot \left(x \cdot x\right)\right) \cdot x
double f(double x) {
        double r916369 = 0.954929658551372;
        double r916370 = x;
        double r916371 = r916369 * r916370;
        double r916372 = 0.12900613773279798;
        double r916373 = r916370 * r916370;
        double r916374 = r916373 * r916370;
        double r916375 = r916372 * r916374;
        double r916376 = r916371 - r916375;
        return r916376;
}
↓
double f(double x) {
        double r916377 = 0.954929658551372;
        double r916378 = 0.12900613773279798;
        double r916379 = x;
        double r916380 = r916379 * r916379;
        double r916381 = r916378 * r916380;
        double r916382 = r916377 - r916381;
        double r916383 = r916382 * r916379;
        return r916383;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]

  2. Simplified0.1

    \[\leadsto \color{blue}{x \cdot \left(0.9549296585513720181381813745247200131416 - 0.1290061377327979819096270830414141528308 \cdot \left(x \cdot x\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(0.9549296585513720181381813745247200131416 - 0.1290061377327979819096270830414141528308 \cdot \left(x \cdot x\right)\right) \cdot x\]

Reproduce

herbie shell --seed 2019170 
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))