Average Error: 0.1 → 0.1
Time: 15.1s
Precision: 64
\[0.0 \le e \le 1\]
\[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]
↓
\[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]
\frac{e \cdot \sin v}{1 + e \cdot \cos v}
↓
\frac{e \cdot \sin v}{1 + e \cdot \cos v}
double f(double e, double v) {
        double r34268 = e;
        double r34269 = v;
        double r34270 = sin(r34269);
        double r34271 = r34268 * r34270;
        double r34272 = 1.0;
        double r34273 = cos(r34269);
        double r34274 = r34268 * r34273;
        double r34275 = r34272 + r34274;
        double r34276 = r34271 / r34275;
        return r34276;
}
↓
double f(double e, double v) {
        double r34277 = e;
        double r34278 = v;
        double r34279 = sin(r34278);
        double r34280 = r34277 * r34279;
        double r34281 = 1.0;
        double r34282 = cos(r34278);
        double r34283 = r34277 * r34282;
        double r34284 = r34281 + r34283;
        double r34285 = r34280 / r34284;
        return r34285;
}

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

    \[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]

  2. Final simplification0.1

    \[\leadsto \frac{e \cdot \sin v}{1 + e \cdot \cos v}\]

Reproduce

herbie shell --seed 2019304 
(FPCore (e v)
  :name "Trigonometry A"
  :precision binary64
  :pre (<= 0.0 e 1)
  (/ (* e (sin v)) (+ 1 (* e (cos v)))))