Average Error: 0.1 → 0.1
Time: 2.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (x + y)) - z)) / ((double) (t * 2.0))));
}
double code(double x, double y, double z, double t) {
	return ((double) (0.5 * ((double) (((double) (y / t)) + ((double) (((double) (x - z)) / t))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\]
  2. Taylor expanded around 0 0.1

    \[\leadsto \]
  3. Simplified0.2

    \[\leadsto \]
  4. Taylor expanded around 0 0.1

    \[\leadsto \]
  5. Simplified0.1

    \[\leadsto \]
  6. Final simplification0.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z t)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B"
  :precision binary64
  (/ (- (+ x y) z) (* t 2.0)))