Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(a + b\right) + c\right) + a\right) + b\right) + c\right) + d\right) + e\right) + f\right) + g\right) + h\right) + i\]
↓
\[\left(i + \left(g + h\right)\right) + \left(\left(f + \left(d + e\right)\right) + 2 \cdot \left(\left(a + b\right) + c\right)\right)\]
\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(a + b\right) + c\right) + a\right) + b\right) + c\right) + d\right) + e\right) + f\right) + g\right) + h\right) + i
↓
\left(i + \left(g + h\right)\right) + \left(\left(f + \left(d + e\right)\right) + 2 \cdot \left(\left(a + b\right) + c\right)\right)
double code(double a, double b, double c, double d, double e, double f, double g, double h, double i) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (a + b)) + c)) + a)) + b)) + c)) + d)) + e)) + f)) + g)) + h)) + i));
}
↓
double code(double a, double b, double c, double d, double e, double f, double g, double h, double i) {
	return ((double) (((double) (i + ((double) (g + h)))) + ((double) (((double) (f + ((double) (d + e)))) + ((double) (2.0 * ((double) (((double) (a + b)) + c))))))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Bits error versus e

Bits error versus f

Bits error versus g

Bits error versus h

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(a + b\right) + c\right) + a\right) + b\right) + c\right) + d\right) + e\right) + f\right) + g\right) + h\right) + i\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(i + \left(g + h\right)\right) + \left(\left(f + \left(d + e\right)\right) + 2 \cdot \left(\left(a + b\right) + c\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(i + \left(g + h\right)\right) + \left(\left(f + \left(d + e\right)\right) + 2 \cdot \left(\left(a + b\right) + c\right)\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c d e f g h i)
  :name "(+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ a b) c) a) b) c) d) e) f) g) h) i)"
  :precision binary64
  (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ a b) c) a) b) c) d) e) f) g) h) i))