Average Error: 0.0 → 0.0
Time: 8.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r447420 = d1;
        double r447421 = d2;
        double r447422 = r447420 * r447421;
        double r447423 = d3;
        double r447424 = 5.0;
        double r447425 = r447423 + r447424;
        double r447426 = r447425 * r447420;
        double r447427 = r447422 + r447426;
        double r447428 = 32.0;
        double r447429 = r447420 * r447428;
        double r447430 = r447427 + r447429;
        return r447430;
}
↓
double f(double d1, double d2, double d3) {
        double r447431 = d1;
        double r447432 = d3;
        double r447433 = 5.0;
        double r447434 = r447432 + r447433;
        double r447435 = 32.0;
        double r447436 = r447434 + r447435;
        double r447437 = d2;
        double r447438 = r447436 + r447437;
        double r447439 = r447431 * r447438;
        return r447439;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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