Average Error: 31.3 → 31.3
Time: 6.7s
Precision: binary64
\[\frac{x - \sin x}{x - \tan x}\]
↓
\[\frac{x - \sin x}{x - \tan x}\]
\frac{x - \sin x}{x - \tan x}
↓
\frac{x - \sin x}{x - \tan x}
double code(double x) {
	return ((double) (((double) (x - ((double) sin(x)))) / ((double) (x - ((double) tan(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (x - ((double) sin(x)))) / ((double) (x - ((double) tan(x))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 31.3

    \[\frac{x - \sin x}{x - \tan x}\]

  2. Final simplification31.3

    \[\leadsto \frac{x - \sin x}{x - \tan x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (- x (sin x)) (- x (tan x)))"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))