Average Error: 0.1 → 0.1
Time: 9.0s
Precision: 64
Internal Precision: 576
\[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
↓
\[(\left(-0.12900613773279798\right) \cdot \left({x}^{3}\right) + \left(x \cdot 0.954929658551372\right))_*\]

Error

Bits error versus x

Derivation

  1. Initial program 0.1

    \[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]

  2. Initial simplification0.1

    \[\leadsto (\left(-0.12900613773279798\right) \cdot \left({x}^{3}\right) + \left(0.954929658551372 \cdot x\right))_*\]

  3. Final simplification0.1

    \[\leadsto (\left(-0.12900613773279798\right) \cdot \left({x}^{3}\right) + \left(x \cdot 0.954929658551372\right))_*\]

Runtime

Time bar (total: 9.0s)Debug logProfile

herbie shell --seed 2018216 +o rules:numerics
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))