Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r184248 = d1;
        double r184249 = d2;
        double r184250 = r184248 * r184249;
        double r184251 = d3;
        double r184252 = 5.0;
        double r184253 = r184251 + r184252;
        double r184254 = r184253 * r184248;
        double r184255 = r184250 + r184254;
        double r184256 = 32.0;
        double r184257 = r184248 * r184256;
        double r184258 = r184255 + r184257;
        return r184258;
}
↓
double f(double d1, double d2, double d3) {
        double r184259 = d1;
        double r184260 = d3;
        double r184261 = 32.0;
        double r184262 = r184260 + r184261;
        double r184263 = 5.0;
        double r184264 = d2;
        double r184265 = r184263 + r184264;
        double r184266 = r184262 + r184265;
        double r184267 = r184259 * r184266;
        return r184267;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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