Average Error: 0 → 0
Time: 557.0ms
Precision: 64
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
↓
\[x \cdot 5\]
\left(\left(\left(x + x\right) + x\right) + x\right) + x
↓
x \cdot 5
double f(double x) {
        double r103103 = x;
        double r103104 = r103103 + r103103;
        double r103105 = r103104 + r103103;
        double r103106 = r103105 + r103103;
        double r103107 = r103106 + r103103;
        return r103107;
}
↓
double f(double x) {
        double r103108 = x;
        double r103109 = 5.0;
        double r103110 = r103108 * r103109;
        return r103110;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]

  2. Simplified0

    \[\leadsto \color{blue}{x \cdot 5}\]

  3. Final simplification0

    \[\leadsto x \cdot 5\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))