Average Error: 0.2 → 0.0
Time: 9.6s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(30 + d2\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(30 + d2\right) \cdot d1
double f(double d1, double d2) {
        double r13235044 = d1;
        double r13235045 = 10.0;
        double r13235046 = r13235044 * r13235045;
        double r13235047 = d2;
        double r13235048 = r13235044 * r13235047;
        double r13235049 = r13235046 + r13235048;
        double r13235050 = 20.0;
        double r13235051 = r13235044 * r13235050;
        double r13235052 = r13235049 + r13235051;
        return r13235052;
}
↓
double f(double d1, double d2) {
        double r13235053 = 30.0;
        double r13235054 = d2;
        double r13235055 = r13235053 + r13235054;
        double r13235056 = d1;
        double r13235057 = r13235055 * r13235056;
        return r13235057;
}

Error

Bits error versus d1

Bits error versus d2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.0
\[d1 \cdot \left(30 + d2\right)\]

Derivation

  1. Initial program 0.2

    \[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(30 + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(30 + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2019164 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30 d2))

  (+ (+ (* d1 10) (* d1 d2)) (* d1 20)))