Average Error: 0 → 0
Time: 553.0ms
Precision: 64
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
↓
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
\left(\left(\left(x + x\right) + x\right) + x\right) + x
↓
\left(\left(\left(x + x\right) + x\right) + x\right) + x
double f(double x) {
        double r159666 = x;
        double r159667 = r159666 + r159666;
        double r159668 = r159667 + r159666;
        double r159669 = r159668 + r159666;
        double r159670 = r159669 + r159666;
        return r159670;
}
↓
double f(double x) {
        double r159671 = x;
        double r159672 = r159671 + r159671;
        double r159673 = r159672 + r159671;
        double r159674 = r159673 + r159671;
        double r159675 = r159674 + r159671;
        return r159675;
}

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. Final simplification0

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

Reproduce

herbie shell --seed 2019352 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))