Average Error: 0.3 → 0
Time: 924.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[d \cdot \left(10 + 20\right)\]
d \cdot 10 + d \cdot 20
↓
d \cdot \left(10 + 20\right)
double f(double d) {
        double r14555269 = d;
        double r14555270 = 10.0;
        double r14555271 = r14555269 * r14555270;
        double r14555272 = 20.0;
        double r14555273 = r14555269 * r14555272;
        double r14555274 = r14555271 + r14555273;
        return r14555274;
}
↓
double f(double d) {
        double r14555275 = d;
        double r14555276 = 10.0;
        double r14555277 = 20.0;
        double r14555278 = r14555276 + r14555277;
        double r14555279 = r14555275 * r14555278;
        return r14555279;
}

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

    \[\leadsto \color{blue}{d \cdot \left(10 + 20\right)}\]

  3. Final simplification0

    \[\leadsto d \cdot \left(10 + 20\right)\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30.0)

  (+ (* d 10.0) (* d 20.0)))