(+ x (* (- y x) t))

Average Error: 0.0 → 0.0

Time: 889.0ms

Precision: binary64

Math

\[x + \left(y - x\right) \cdot t\]

↓

\[x + \left(y - x\right) \cdot t\]

C

double code(double x, double y, double t) {
	return ((double) (x + ((double) (((double) (y - x)) * t))));
}

↓

double code(double x, double y, double t) {
	return ((double) (x + ((double) (((double) (y - x)) * t))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus t

Derivation

1. Initial program 0.0

   \[x + \left(y - x\right) \cdot t\]

2. Final simplification 0.0

   \[\leadsto x + \left(y - x\right) \cdot t\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y t)
  :name "(+ x (* (- y x) t))"
  :precision binary64
  (+ x (* (- y x) t)))