Average Error: 14.7 → 14.7
Time: 1.5s
Precision: binary64
\[y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)\]
↓
\[y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)\]
y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)
↓
y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)
double code(double y1, double y2, double x2, double x1, double x) {
	return ((double) (y1 + ((double) (((double) (((double) (y2 - y1)) / ((double) (x2 - x1)))) * ((double) (x - x1))))));
}
↓
double code(double y1, double y2, double x2, double x1, double x) {
	return ((double) (y1 + ((double) (((double) (((double) (y2 - y1)) / ((double) (x2 - x1)))) * ((double) (x - x1))))));
}

Error

Bits error versus y1

Bits error versus y2

Bits error versus x2

Bits error versus x1

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.7

    \[y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)\]

  2. Final simplification14.7

    \[\leadsto y1 + \frac{y2 - y1}{x2 - x1} \cdot \left(x - x1\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y1 y2 x2 x1 x)
  :name "(+ y1 (* (/ (- y2 y1) (- x2 x1)) (- x x1)))"
  :precision binary64
  (+ y1 (* (/ (- y2 y1) (- x2 x1)) (- x x1))))