Average Error: 0.0 → 0.0
Time: 17.9s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 - d3\right) + \left(d4 - d1\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 - d3\right) + \left(d4 - d1\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r45654607 = d1;
        double r45654608 = d2;
        double r45654609 = r45654607 * r45654608;
        double r45654610 = d3;
        double r45654611 = r45654607 * r45654610;
        double r45654612 = r45654609 - r45654611;
        double r45654613 = d4;
        double r45654614 = r45654613 * r45654607;
        double r45654615 = r45654612 + r45654614;
        double r45654616 = r45654607 * r45654607;
        double r45654617 = r45654615 - r45654616;
        return r45654617;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r45654618 = d1;
        double r45654619 = d2;
        double r45654620 = d3;
        double r45654621 = r45654619 - r45654620;
        double r45654622 = d4;
        double r45654623 = r45654622 - r45654618;
        double r45654624 = r45654621 + r45654623;
        double r45654625 = r45654618 * r45654624;
        return r45654625;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019104 +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)))