Average Error: 0.1 → 0.1
Time: 31.3s
Precision: 64
\[0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
↓
\[\left(0.9549296585513720181381813745247200131416 - \left(x \cdot 0.1290061377327979819096270830414141528308\right) \cdot x\right) \cdot x\]
0.9549296585513720181381813745247200131416 \cdot x - 0.1290061377327979819096270830414141528308 \cdot \left(\left(x \cdot x\right) \cdot x\right)
↓
\left(0.9549296585513720181381813745247200131416 - \left(x \cdot 0.1290061377327979819096270830414141528308\right) \cdot x\right) \cdot x
double f(double x) {
        double r995918 = 0.954929658551372;
        double r995919 = x;
        double r995920 = r995918 * r995919;
        double r995921 = 0.12900613773279798;
        double r995922 = r995919 * r995919;
        double r995923 = r995922 * r995919;
        double r995924 = r995921 * r995923;
        double r995925 = r995920 - r995924;
        return r995925;
}
↓
double f(double x) {
        double r995926 = 0.954929658551372;
        double r995927 = x;
        double r995928 = 0.12900613773279798;
        double r995929 = r995927 * r995928;
        double r995930 = r995929 * r995927;
        double r995931 = r995926 - r995930;
        double r995932 = r995931 * r995927;
        return r995932;
}

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

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))