Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\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 r383104 = d1;
        double r383105 = d2;
        double r383106 = r383104 * r383105;
        double r383107 = d3;
        double r383108 = 5.0;
        double r383109 = r383107 + r383108;
        double r383110 = r383109 * r383104;
        double r383111 = r383106 + r383110;
        double r383112 = 32.0;
        double r383113 = r383104 * r383112;
        double r383114 = r383111 + r383113;
        return r383114;
}
↓
double f(double d1, double d2, double d3) {
        double r383115 = d1;
        double r383116 = 32.0;
        double r383117 = d2;
        double r383118 = d3;
        double r383119 = 5.0;
        double r383120 = r383118 + r383119;
        double r383121 = r383117 + r383120;
        double r383122 = r383116 + r383121;
        double r383123 = r383115 * r383122;
        return r383123;
}

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 2019351 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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