Average Error: 0.1 → 0.1
Time: 43.9s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d1 \cdot 3 + d2 \cdot d1\right) + d1 \cdot d3\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d1 \cdot 3 + d2 \cdot d1\right) + d1 \cdot d3
double f(double d1, double d2, double d3) {
        double r3531772 = d1;
        double r3531773 = 3.0;
        double r3531774 = r3531772 * r3531773;
        double r3531775 = d2;
        double r3531776 = r3531772 * r3531775;
        double r3531777 = r3531774 + r3531776;
        double r3531778 = d3;
        double r3531779 = r3531772 * r3531778;
        double r3531780 = r3531777 + r3531779;
        return r3531780;
}
↓
double f(double d1, double d2, double d3) {
        double r3531781 = d1;
        double r3531782 = 3.0;
        double r3531783 = r3531781 * r3531782;
        double r3531784 = d2;
        double r3531785 = r3531784 * r3531781;
        double r3531786 = r3531783 + r3531785;
        double r3531787 = d3;
        double r3531788 = r3531781 * r3531787;
        double r3531789 = r3531786 + r3531788;
        return r3531789;
}

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

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Final simplification0.1

    \[\leadsto \left(d1 \cdot 3 + d2 \cdot d1\right) + d1 \cdot d3\]

Reproduce

herbie shell --seed 2019156 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3 d2) d3))

  (+ (+ (* d1 3) (* d1 d2)) (* d1 d3)))