Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r237306 = d1;
        double r237307 = d2;
        double r237308 = r237306 * r237307;
        double r237309 = d3;
        double r237310 = 5.0;
        double r237311 = r237309 + r237310;
        double r237312 = r237311 * r237306;
        double r237313 = r237308 + r237312;
        double r237314 = 32.0;
        double r237315 = r237306 * r237314;
        double r237316 = r237313 + r237315;
        return r237316;
}
↓
double f(double d1, double d2, double d3) {
        double r237317 = d1;
        double r237318 = 32.0;
        double r237319 = d2;
        double r237320 = d3;
        double r237321 = 5.0;
        double r237322 = r237320 + r237321;
        double r237323 = r237319 + r237322;
        double r237324 = r237318 + r237323;
        double r237325 = r237317 * r237324;
        return r237325;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019198 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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