Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}\]
↓
\[\left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}\]
\left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}
↓
\left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}
double code(double aa, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (((double) (aa + b)) + c)) + ((double) (d * 1000.0)))) - 1.0)) - ((double) sqrt(aa))));
}
↓
double code(double aa, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (((double) (aa + b)) + c)) + ((double) (d * 1000.0)))) - 1.0)) - ((double) sqrt(aa))));
}

Error

Bits error versus aa

Bits error versus b

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\left(\left(aa + b\right) + c\right) + d \cdot 10^{3}\right) - 1\right) - \sqrt{aa}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (aa b c d)
  :name "(- (- (+ (+ (+ aa b) c) (* d 1000)) 1) (sqrt aa))"
  :precision binary64
  (- (- (+ (+ (+ aa b) c) (* d 1000.0)) 1.0) (sqrt aa)))