Average Error: 0.0 → 0.0
Time: 14.0s
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 r8837424 = d1;
        double r8837425 = d2;
        double r8837426 = r8837424 * r8837425;
        double r8837427 = d3;
        double r8837428 = r8837424 * r8837427;
        double r8837429 = r8837426 - r8837428;
        double r8837430 = d4;
        double r8837431 = r8837430 * r8837424;
        double r8837432 = r8837429 + r8837431;
        double r8837433 = r8837424 * r8837424;
        double r8837434 = r8837432 - r8837433;
        return r8837434;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8837435 = d1;
        double r8837436 = d4;
        double r8837437 = d3;
        double r8837438 = r8837436 - r8837437;
        double r8837439 = d2;
        double r8837440 = r8837439 - r8837435;
        double r8837441 = r8837438 + r8837440;
        double r8837442 = r8837435 * r8837441;
        return r8837442;
}

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 2019162 +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)))