Average Error: 0.1 → 0.3
Time: 5.6s
Precision: binary64
\[\]
\[\]
\[\]
double code(double e, double v) {
	return (e * sin(v)) / (1.0 + (e * cos(v)));
}
double code(double e, double v) {
	return e / (((e * cos(v)) + 1.0) / sin(v));
}

Error

Bits error versus e

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\]
  2. Using strategy rm
  3. Applied associate-/l*0.3

    \[\leadsto \]
  4. Simplified0.3

    \[\leadsto \]
  5. Final simplification0.3

    \[\leadsto \]

Reproduce

herbie shell --seed 2020338 
(FPCore (e v)
  :name "Trigonometry A"
  :precision binary64
  :pre (<= 0.0 e 1.0)
  (/ (* e (sin v)) (+ 1.0 (* e (cos v)))))