Average Error: 0.1 → 0.1
Time: 14.2s
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 r20685 = 0.954929658551372;
        double r20686 = x;
        double r20687 = r20685 * r20686;
        double r20688 = 0.12900613773279798;
        double r20689 = r20686 * r20686;
        double r20690 = r20689 * r20686;
        double r20691 = r20688 * r20690;
        double r20692 = r20687 - r20691;
        return r20692;
}
↓
double f(double x) {
        double r20693 = 0.954929658551372;
        double r20694 = 0.12900613773279798;
        double r20695 = x;
        double r20696 = r20695 * r20695;
        double r20697 = r20694 * r20696;
        double r20698 = r20693 - r20697;
        double r20699 = r20698 * r20695;
        return r20699;
}

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 2019179 
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))