Average Error: 0.0 → 0.0
Time: 873.0ms
Precision: binary64
\[\left(\left(4 \cdot a + b\right) + c\right) + d\]
↓
\[\left(\left(4 \cdot a + b\right) + c\right) + d\]
\left(\left(4 \cdot a + b\right) + c\right) + d
↓
\left(\left(4 \cdot a + b\right) + c\right) + d
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (4.0 * a)) + b)) + c)) + d));
}
↓
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (4.0 * a)) + b)) + c)) + d));
}

Error

Bits error versus a

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

    \[\left(\left(4 \cdot a + b\right) + c\right) + d\]

  2. Final simplification0.0

    \[\leadsto \left(\left(4 \cdot a + b\right) + c\right) + d\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c d)
  :name "(+ (+ (+ (* 4 a) b) c) d)"
  :precision binary64
  (+ (+ (+ (* 4.0 a) b) c) d))