Average Error: 0.0 → 0.0
Time: 12.5s
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 r7318329 = d1;
        double r7318330 = d2;
        double r7318331 = r7318329 * r7318330;
        double r7318332 = d3;
        double r7318333 = 5.0;
        double r7318334 = r7318332 + r7318333;
        double r7318335 = r7318334 * r7318329;
        double r7318336 = r7318331 + r7318335;
        double r7318337 = 32.0;
        double r7318338 = r7318329 * r7318337;
        double r7318339 = r7318336 + r7318338;
        return r7318339;
}
↓
double f(double d1, double d2, double d3) {
        double r7318340 = d2;
        double r7318341 = d3;
        double r7318342 = 37.0;
        double r7318343 = r7318341 + r7318342;
        double r7318344 = r7318340 + r7318343;
        double r7318345 = d1;
        double r7318346 = r7318344 * r7318345;
        return r7318346;
}

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 2019132 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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