Average Error: 0.0 → 0.0
Time: 1.2s
Precision: binary64
\[\left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}\]
↓
\[\left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}\]
\left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}
↓
\left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a * 100000000000.0)) + ((double) (b / 100000000000.0)))) - ((double) (c * 100000000000.0))));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a * 100000000000.0)) + ((double) (b / 100000000000.0)))) - ((double) (c * 100000000000.0))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}\]

  2. Final simplification0.0

    \[\leadsto \left(a \cdot 10^{11} + \frac{b}{10^{11}}\right) - c \cdot 10^{11}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c)
  :name "(- (+ (* a 100000000000) (/ b 100000000000)) (* c 100000000000))"
  :precision binary64
  (- (+ (* a 100000000000.0) (/ b 100000000000.0)) (* c 100000000000.0)))