Average Error: 0.0 → 0.0
Time: 12.2s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(d4 + \left(\left(d2 - d3\right) - d1\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(d4 + \left(\left(d2 - d3\right) - d1\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r8881570 = d1;
        double r8881571 = d2;
        double r8881572 = r8881570 * r8881571;
        double r8881573 = d3;
        double r8881574 = r8881570 * r8881573;
        double r8881575 = r8881572 - r8881574;
        double r8881576 = d4;
        double r8881577 = r8881576 * r8881570;
        double r8881578 = r8881575 + r8881577;
        double r8881579 = r8881570 * r8881570;
        double r8881580 = r8881578 - r8881579;
        return r8881580;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8881581 = d1;
        double r8881582 = d4;
        double r8881583 = d2;
        double r8881584 = d3;
        double r8881585 = r8881583 - r8881584;
        double r8881586 = r8881585 - r8881581;
        double r8881587 = r8881582 + r8881586;
        double r8881588 = r8881581 * r8881587;
        return r8881588;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019165 +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)))