Average Error: 15.1 → 15.1
Time: 858.0ms
Precision: 64
Internal Precision: 320
\[\frac{x}{x \cdot x + 1}\]
↓
\[\frac{x}{x \cdot x + 1}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original15.1
Target0.1
Herbie15.1
\[\frac{1}{x + \frac{1}{x}}\]

Derivation

  1. Initial program 15.1

    \[\frac{x}{x \cdot x + 1}\]

  2. Final simplification15.1

    \[\leadsto \frac{x}{x \cdot x + 1}\]

Runtime

Time bar (total: 858.0ms)Debug logProfile

herbie shell --seed 2018225 +o rules:numerics
(FPCore (x)
  :name "x / (x^2 + 1)"

  :herbie-target
  (/ 1 (+ x (/ 1 x)))

  (/ x (+ (* x x) 1)))