Average Error: 0.0 → 0.0
Time: 4.7s
Precision: binary64
\[\left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}\]
↓
\[\left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}\]
\left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}
↓
\left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}
double code(double x, double a, double b) {
	return ((double) (((double) (((double) (((double) sqrt(x)) - a)) + b)) + ((double) sqrt(((double) (((double) (((double) pow(x, 2.0)) - ((double) (((double) (x * x)) * x)))) + ((double) pow(x, x))))))));
}
↓
double code(double x, double a, double b) {
	return ((double) (((double) (((double) (((double) sqrt(x)) - a)) + b)) + ((double) sqrt(((double) (((double) (((double) pow(x, 2.0)) - ((double) (((double) (x * x)) * x)))) + ((double) pow(x, x))))))));
}

Error

Bits error versus x

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\sqrt{x} - a\right) + b\right) + \sqrt{\left({x}^{2} - \left(x \cdot x\right) \cdot x\right) + {x}^{x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x a b)
  :name "(+ (+ (- (sqrt x) a) b) (sqrt (+ (- (pow x 2) (* (* x x) x)) (pow x x))))"
  :precision binary64
  (+ (+ (- (sqrt x) a) b) (sqrt (+ (- (pow x 2.0) (* (* x x) x)) (pow x x)))))