Average Error: 0.1 → 0.1
Time: 873.0ms
Precision: binary64
\[\frac{\left(a + b\right) \cdot h}{2}\]
↓
\[\frac{\left(a + b\right) \cdot h}{2}\]
\frac{\left(a + b\right) \cdot h}{2}
↓
\frac{\left(a + b\right) \cdot h}{2}
double code(double a, double b, double h) {
	return ((double) (((double) (((double) (a + b)) * h)) / 2.0));
}
↓
double code(double a, double b, double h) {
	return ((double) (((double) (((double) (a + b)) * h)) / 2.0));
}

Error

Bits error versus a

Bits error versus b

Bits error versus h

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{\left(a + b\right) \cdot h}{2}\]

  2. Final simplification0.1

    \[\leadsto \frac{\left(a + b\right) \cdot h}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b h)
  :name "(/ (* (+ a b) h) 2)"
  :precision binary64
  (/ (* (+ a b) h) 2.0))