Average Error: 0.0 → 0.0
Time: 11.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
double f(double d1, double d2, double d3) {
        double r170663 = d1;
        double r170664 = d2;
        double r170665 = r170663 * r170664;
        double r170666 = d3;
        double r170667 = 5.0;
        double r170668 = r170666 + r170667;
        double r170669 = r170668 * r170663;
        double r170670 = r170665 + r170669;
        double r170671 = 32.0;
        double r170672 = r170663 * r170671;
        double r170673 = r170670 + r170672;
        return r170673;
}
↓
double f(double d1, double d2, double d3) {
        double r170674 = d1;
        double r170675 = d2;
        double r170676 = r170674 * r170675;
        double r170677 = d3;
        double r170678 = 5.0;
        double r170679 = r170677 + r170678;
        double r170680 = r170679 * r170674;
        double r170681 = r170676 + r170680;
        double r170682 = 32.0;
        double r170683 = r170674 * r170682;
        double r170684 = r170681 + r170683;
        return r170684;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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