Average Error: 0.0 → 0.0
Time: 9.2s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[\left(\left(d4 - d3\right) + \left(d2 - d1\right)\right) \cdot d1\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
\left(\left(d4 - d3\right) + \left(d2 - d1\right)\right) \cdot d1
double f(double d1, double d2, double d3, double d4) {
        double r14020547 = d1;
        double r14020548 = d2;
        double r14020549 = r14020547 * r14020548;
        double r14020550 = d3;
        double r14020551 = r14020547 * r14020550;
        double r14020552 = r14020549 - r14020551;
        double r14020553 = d4;
        double r14020554 = r14020553 * r14020547;
        double r14020555 = r14020552 + r14020554;
        double r14020556 = r14020547 * r14020547;
        double r14020557 = r14020555 - r14020556;
        return r14020557;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r14020558 = d4;
        double r14020559 = d3;
        double r14020560 = r14020558 - r14020559;
        double r14020561 = d2;
        double r14020562 = d1;
        double r14020563 = r14020561 - r14020562;
        double r14020564 = r14020560 + r14020563;
        double r14020565 = r14020564 * r14020562;
        return r14020565;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019164 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

  :herbie-target
  (* d1 (- (+ (- d2 d3) d4) d1))

  (- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1)))