Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r5015023 = d1;
        double r5015024 = d2;
        double r5015025 = r5015023 * r5015024;
        double r5015026 = d3;
        double r5015027 = 5.0;
        double r5015028 = r5015026 + r5015027;
        double r5015029 = r5015028 * r5015023;
        double r5015030 = r5015025 + r5015029;
        double r5015031 = 32.0;
        double r5015032 = r5015023 * r5015031;
        double r5015033 = r5015030 + r5015032;
        return r5015033;
}
↓
double f(double d1, double d2, double d3) {
        double r5015034 = d2;
        double r5015035 = d3;
        double r5015036 = 37.0;
        double r5015037 = r5015035 + r5015036;
        double r5015038 = r5015034 + r5015037;
        double r5015039 = d1;
        double r5015040 = r5015038 * r5015039;
        return r5015040;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(\left(37 + d3\right) + d2\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(d3 + 37\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019151 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))