Average Error: 0.0 → 0.0
Time: 12.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
double f(double d1, double d2, double d3) {
        double r273343 = d1;
        double r273344 = d2;
        double r273345 = r273343 * r273344;
        double r273346 = d3;
        double r273347 = 5.0;
        double r273348 = r273346 + r273347;
        double r273349 = r273348 * r273343;
        double r273350 = r273345 + r273349;
        double r273351 = 32.0;
        double r273352 = r273343 * r273351;
        double r273353 = r273350 + r273352;
        return r273353;
}
↓
double f(double d1, double d2, double d3) {
        double r273354 = d1;
        double r273355 = d2;
        double r273356 = r273354 * r273355;
        double r273357 = d3;
        double r273358 = 5.0;
        double r273359 = r273357 + r273358;
        double r273360 = r273359 * r273354;
        double r273361 = r273356 + r273360;
        double r273362 = 32.0;
        double r273363 = r273354 * r273362;
        double r273364 = r273361 + r273363;
        return r273364;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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