Average Error: 0.0 → 0.0
Time: 2.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r431217 = d1;
        double r431218 = d2;
        double r431219 = r431217 * r431218;
        double r431220 = d3;
        double r431221 = 5.0;
        double r431222 = r431220 + r431221;
        double r431223 = r431222 * r431217;
        double r431224 = r431219 + r431223;
        double r431225 = 32.0;
        double r431226 = r431217 * r431225;
        double r431227 = r431224 + r431226;
        return r431227;
}
↓
double f(double d1, double d2, double d3) {
        double r431228 = d1;
        double r431229 = d2;
        double r431230 = d3;
        double r431231 = 5.0;
        double r431232 = r431230 + r431231;
        double r431233 = 32.0;
        double r431234 = r431232 + r431233;
        double r431235 = r431229 + r431234;
        double r431236 = r431228 * r431235;
        return r431236;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020033 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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