Average Error: 59.5 → 59.5
Time: 2.6s
Precision: binary64
\[\frac{1 - \sqrt{1 - {t}^{2}}}{t}\]
↓
\[\frac{1 - \sqrt{1 - {t}^{2}}}{t}\]
\frac{1 - \sqrt{1 - {t}^{2}}}{t}
↓
\frac{1 - \sqrt{1 - {t}^{2}}}{t}
double code(double t) {
	return ((double) (((double) (1.0 - ((double) sqrt(((double) (1.0 - ((double) pow(t, 2.0)))))))) / t));
}
↓
double code(double t) {
	return ((double) (((double) (1.0 - ((double) sqrt(((double) (1.0 - ((double) pow(t, 2.0)))))))) / t));
}

Error

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.5

    \[\frac{1 - \sqrt{1 - {t}^{2}}}{t}\]

  2. Final simplification59.5

    \[\leadsto \frac{1 - \sqrt{1 - {t}^{2}}}{t}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (t)
  :name "(/ (- 1 (sqrt (- 1 (pow t 2)))) t)"
  :precision binary64
  (/ (- 1.0 (sqrt (- 1.0 (pow t 2.0)))) t))