Average Error: 0.3 → 0
Time: 1.1s
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 r7940018 = d;
        double r7940019 = 10.0;
        double r7940020 = r7940018 * r7940019;
        double r7940021 = 20.0;
        double r7940022 = r7940018 * r7940021;
        double r7940023 = r7940020 + r7940022;
        return r7940023;
}
↓
double f(double d) {
        double r7940024 = d;
        double r7940025 = 30.0;
        double r7940026 = r7940024 * r7940025;
        return r7940026;
}

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 2019164 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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