Average Error: 0.0 → 0.0
Time: 16.5s
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 r8877487 = d1;
        double r8877488 = d2;
        double r8877489 = r8877487 * r8877488;
        double r8877490 = d3;
        double r8877491 = r8877487 * r8877490;
        double r8877492 = r8877489 - r8877491;
        double r8877493 = d4;
        double r8877494 = r8877493 * r8877487;
        double r8877495 = r8877492 + r8877494;
        double r8877496 = r8877487 * r8877487;
        double r8877497 = r8877495 - r8877496;
        return r8877497;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8877498 = d1;
        double r8877499 = d4;
        double r8877500 = d2;
        double r8877501 = d3;
        double r8877502 = r8877500 - r8877501;
        double r8877503 = r8877502 - r8877498;
        double r8877504 = r8877499 + r8877503;
        double r8877505 = r8877498 * r8877504;
        return r8877505;
}

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 2019179 +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)))