Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 5\right) + 32\right) + d1 \cdot d2\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 5\right) + 32\right) + d1 \cdot d2
double f(double d1, double d2, double d3) {
        double r275330 = d1;
        double r275331 = d2;
        double r275332 = r275330 * r275331;
        double r275333 = d3;
        double r275334 = 5.0;
        double r275335 = r275333 + r275334;
        double r275336 = r275335 * r275330;
        double r275337 = r275332 + r275336;
        double r275338 = 32.0;
        double r275339 = r275330 * r275338;
        double r275340 = r275337 + r275339;
        return r275340;
}
↓
double f(double d1, double d2, double d3) {
        double r275341 = d1;
        double r275342 = d3;
        double r275343 = 5.0;
        double r275344 = r275342 + r275343;
        double r275345 = 32.0;
        double r275346 = r275344 + r275345;
        double r275347 = r275341 * r275346;
        double r275348 = d2;
        double r275349 = r275341 * r275348;
        double r275350 = r275347 + r275349;
        return r275350;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020042 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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