Average Error: 0 → 0
Time: 561.0ms
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 r90020 = x;
        double r90021 = r90020 + r90020;
        double r90022 = r90021 + r90020;
        double r90023 = r90022 + r90020;
        double r90024 = r90023 + r90020;
        return r90024;
}
↓
double f(double x) {
        double r90025 = x;
        double r90026 = r90025 + r90025;
        double r90027 = r90026 + r90025;
        double r90028 = r90027 + r90025;
        double r90029 = r90028 + r90025;
        return r90029;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))