Average Error: 0.1 → 0.2
Time: 5.2s
Precision: binary64
\[\]
\[\]
↓
\[\]
↓
double code(double e, double v) {
	return ((double) (((double) (e * ((double) sin(v)))) / ((double) (1.0 + ((double) (e * ((double) cos(v))))))));
}

↓
double code(double e, double v) {
	return ((double) (((double) (e / ((double) sqrt(((double) (1.0 + ((double) (e * ((double) cos(v)))))))))) * ((double) (((double) sin(v)) / ((double) sqrt(((double) (1.0 + ((double) (e * ((double) cos(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. Simplified0.1
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt0.2
    \[\leadsto \]
  5. Applied *-un-lft-identity0.2
    \[\leadsto \]
  6. Applied times-frac0.2
    \[\leadsto \]
  7. Applied associate-*r*0.2
    \[\leadsto \]
  8. Simplified0.2
    \[\leadsto \]
  9. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (e v)
  :name "Trigonometry A"
  :precision binary64
  :pre (<= 0.0 e 1.0)
  (/ (* e (sin v)) (+ 1.0 (* e (cos v)))))