Average Error: 0.3 → 0
Time: 782.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
\[d \cdot 30\]
d \cdot 10 + d \cdot 20
d \cdot 30
double f(double d) {
        double r3797468 = d;
        double r3797469 = 10.0;
        double r3797470 = r3797468 * r3797469;
        double r3797471 = 20.0;
        double r3797472 = r3797468 * r3797471;
        double r3797473 = r3797470 + r3797472;
        return r3797473;
}

double f(double d) {
        double r3797474 = d;
        double r3797475 = 30.0;
        double r3797476 = r3797474 * r3797475;
        return r3797476;
}

Error

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0
Herbie0
\[d \cdot 30\]

Derivation

  1. Initial program 0.3

    \[d \cdot 10 + d \cdot 20\]
  2. Simplified0

    \[\leadsto \color{blue}{d \cdot 30}\]
  3. Final simplification0

    \[\leadsto d \cdot 30\]

Reproduce

herbie shell --seed 2019151 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

  (+ (* d 10) (* d 20)))