Average Error: 0.3 → 0
Time: 720.0ms
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 r3440495 = d;
        double r3440496 = 10.0;
        double r3440497 = r3440495 * r3440496;
        double r3440498 = 20.0;
        double r3440499 = r3440495 * r3440498;
        double r3440500 = r3440497 + r3440499;
        return r3440500;
}
↓
double f(double d) {
        double r3440501 = d;
        double r3440502 = 30.0;
        double r3440503 = r3440501 * r3440502;
        return r3440503;
}

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 2019152 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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