Average Error: 0.1 → 0.1
Time: 687.0ms
Precision: binary64
\[b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1\]
↓
\[b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1\]
b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1
↓
b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1
double code(double b) {
	return ((double) (((double) (b * ((double) (((double) (((double) (b * 5.0)) / 4.0)) - 2.0)))) + 1.0));
}
↓
double code(double b) {
	return ((double) (((double) (b * ((double) (((double) (((double) (b * 5.0)) / 4.0)) - 2.0)))) + 1.0));
}

Error

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1\]

  2. Final simplification0.1

    \[\leadsto b \cdot \left(\frac{b \cdot 5}{4} - 2\right) + 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b)
  :name "(+ (* b (- (/ (* b 5.0) 4.0) 2.0)) 1.0)"
  :precision binary64
  (+ (* b (- (/ (* b 5.0) 4.0) 2.0)) 1.0))