Average Error: 0.0 → 0.0
Time: 12.1s
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 r260115 = d1;
        double r260116 = d2;
        double r260117 = r260115 * r260116;
        double r260118 = d3;
        double r260119 = 5.0;
        double r260120 = r260118 + r260119;
        double r260121 = r260120 * r260115;
        double r260122 = r260117 + r260121;
        double r260123 = 32.0;
        double r260124 = r260115 * r260123;
        double r260125 = r260122 + r260124;
        return r260125;
}
↓
double f(double d1, double d2, double d3) {
        double r260126 = d1;
        double r260127 = 32.0;
        double r260128 = d2;
        double r260129 = d3;
        double r260130 = 5.0;
        double r260131 = r260129 + r260130;
        double r260132 = r260128 + r260131;
        double r260133 = r260127 + r260132;
        double r260134 = r260126 * r260133;
        return r260134;
}

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 2019323 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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