Average Error: 14.7 → 14.7
Time: 1.4s
Precision: binary64
\[y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)\]
↓
\[y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)\]
y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)
↓
y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)
double code(double y0, double y1, double x1, double x0, double x) {
	return ((double) (y0 + ((double) (((double) (((double) (y1 - y0)) / ((double) (x1 - x0)))) * ((double) (x - x0))))));
}
↓
double code(double y0, double y1, double x1, double x0, double x) {
	return ((double) (y0 + ((double) (((double) (((double) (y1 - y0)) / ((double) (x1 - x0)))) * ((double) (x - x0))))));
}

Error

Bits error versus y0

Bits error versus y1

Bits error versus x1

Bits error versus x0

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.7

    \[y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)\]

  2. Final simplification14.7

    \[\leadsto y0 + \frac{y1 - y0}{x1 - x0} \cdot \left(x - x0\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y0 y1 x1 x0 x)
  :name "(+ y0 (* (/ (- y1 y0) (- x1 x0)) (- x x0)))"
  :precision binary64
  (+ y0 (* (/ (- y1 y0) (- x1 x0)) (- x x0))))