Average Error: 0.0 → 0.0
Time: 13.2s
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 r8109479 = d1;
        double r8109480 = d2;
        double r8109481 = r8109479 * r8109480;
        double r8109482 = d3;
        double r8109483 = r8109479 * r8109482;
        double r8109484 = r8109481 - r8109483;
        double r8109485 = d4;
        double r8109486 = r8109485 * r8109479;
        double r8109487 = r8109484 + r8109486;
        double r8109488 = r8109479 * r8109479;
        double r8109489 = r8109487 - r8109488;
        return r8109489;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8109490 = d1;
        double r8109491 = d4;
        double r8109492 = d2;
        double r8109493 = d3;
        double r8109494 = r8109492 - r8109493;
        double r8109495 = r8109494 - r8109490;
        double r8109496 = r8109491 + r8109495;
        double r8109497 = r8109490 * r8109496;
        return r8109497;
}

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 2019130 +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)))