Average Error: 30.3 → 30.3
Time: 1.7s
Precision: binary64
\[\frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}\]
↓
\[\frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}\]
\frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}
↓
\frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}
double code(double x) {
	return ((double) (((double) (((double) (((double) sin(x)) * ((double) cos(x)))) * ((double) tan(x)))) / ((double) (x * ((double) asin(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) sin(x)) * ((double) cos(x)))) * ((double) tan(x)))) / ((double) (x * ((double) asin(x))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.3

    \[\frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}\]

  2. Final simplification30.3

    \[\leadsto \frac{\left(\sin x \cdot \cos x\right) \cdot \tan x}{x \cdot \sin^{-1} x}\]

Reproduce

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