Average Error: 14.9 → 14.9
Time: 2.2s
Precision: binary64
\[\sqrt{1 - 2^{x \cdot u + y \cdot v}}\]
↓
\[\sqrt{1 - 2^{x \cdot u + y \cdot v}}\]
\sqrt{1 - 2^{x \cdot u + y \cdot v}}
↓
\sqrt{1 - 2^{x \cdot u + y \cdot v}}
double code(double x, double u, double y, double v) {
	return ((double) sqrt(((double) (1.0 - ((double) exp2(((double) (((double) (x * u)) + ((double) (y * v))))))))));
}
↓
double code(double x, double u, double y, double v) {
	return ((double) sqrt(((double) (1.0 - ((double) exp2(((double) (((double) (x * u)) + ((double) (y * v))))))))));
}

Error

Bits error versus x

Bits error versus u

Bits error versus y

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.9

    \[\sqrt{1 - 2^{x \cdot u + y \cdot v}}\]

  2. Final simplification14.9

    \[\leadsto \sqrt{1 - 2^{x \cdot u + y \cdot v}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x u y v)
  :name "(sqrt (- 1.0 (exp2 (+ (* x u) (* y v)))))"
  :precision binary64
  (sqrt (- 1.0 (exp2 (+ (* x u) (* y v))))))