Average Error: 0.0 → 0.0
Time: 8.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r269254 = d1;
        double r269255 = d2;
        double r269256 = r269254 * r269255;
        double r269257 = d3;
        double r269258 = 5.0;
        double r269259 = r269257 + r269258;
        double r269260 = r269259 * r269254;
        double r269261 = r269256 + r269260;
        double r269262 = 32.0;
        double r269263 = r269254 * r269262;
        double r269264 = r269261 + r269263;
        return r269264;
}
↓
double f(double d1, double d2, double d3) {
        double r269265 = d2;
        double r269266 = d3;
        double r269267 = r269265 + r269266;
        double r269268 = 32.0;
        double r269269 = r269267 + r269268;
        double r269270 = 5.0;
        double r269271 = r269269 + r269270;
        double r269272 = d1;
        double r269273 = r269271 * r269272;
        return r269273;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))