Average Error: 29.6 → 29.6
Time: 3.8s
Precision: binary64
\[\frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}\]
↓
\[\frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}\]
\frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}
↓
\frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}
double code(double t, double y) {
	return ((double) (((double) (((double) (1.0 - t)) * ((double) (((double) sin(((double) (((double) (1.0 - t)) * y)))) / ((double) (((double) (1.0 - t)) * y)))))) / ((double) (((double) sin(y)) / y))));
}
↓
double code(double t, double y) {
	return ((double) (((double) (((double) (1.0 - t)) * ((double) (((double) sin(((double) (((double) (1.0 - t)) * y)))) / ((double) (((double) (1.0 - t)) * y)))))) / ((double) (((double) sin(y)) / y))));
}

Error

Bits error versus t

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.6

    \[\frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}\]

  2. Final simplification29.6

    \[\leadsto \frac{\left(1 - t\right) \cdot \frac{\sin \left(\left(1 - t\right) \cdot y\right)}{\left(1 - t\right) \cdot y}}{\frac{\sin y}{y}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (t y)
  :name "(/ (* (- 1 t) (/ (sin (* (- 1 t) y)) (* (- 1 t) y))) (/ (sin y) y))"
  :precision binary64
  (/ (* (- 1.0 t) (/ (sin (* (- 1.0 t) y)) (* (- 1.0 t) y))) (/ (sin y) y)))