Average Error: 0.0 → 0.0
Time: 15.8s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d4 - d3\right) + \left(d2 - d1\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d4 - d3\right) + \left(d2 - d1\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r8645621 = d1;
        double r8645622 = d2;
        double r8645623 = r8645621 * r8645622;
        double r8645624 = d3;
        double r8645625 = r8645621 * r8645624;
        double r8645626 = r8645623 - r8645625;
        double r8645627 = d4;
        double r8645628 = r8645627 * r8645621;
        double r8645629 = r8645626 + r8645628;
        double r8645630 = r8645621 * r8645621;
        double r8645631 = r8645629 - r8645630;
        return r8645631;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8645632 = d1;
        double r8645633 = d4;
        double r8645634 = d3;
        double r8645635 = r8645633 - r8645634;
        double r8645636 = d2;
        double r8645637 = r8645636 - r8645632;
        double r8645638 = r8645635 + r8645637;
        double r8645639 = r8645632 * r8645638;
        return r8645639;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Bits error versus d4

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(\left(d2 - d3\right) + d4\right) - d1\right)\]

Derivation

  1. Initial program 0.0

    \[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(d4 - d3\right) + \left(d2 - d1\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(d4 - d3\right) + \left(d2 - d1\right)\right)\]

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

  :herbie-target
  (* d1 (- (+ (- d2 d3) d4) d1))

  (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)))