Average Error: 0.0 → 0.0
Time: 13.5s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(\left(d2 + d4\right) - d3\right) - d1\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(\left(d2 + d4\right) - d3\right) - d1\right)
double f(double d1, double d2, double d3, double d4) {
        double r3444823 = d1;
        double r3444824 = d2;
        double r3444825 = r3444823 * r3444824;
        double r3444826 = d3;
        double r3444827 = r3444823 * r3444826;
        double r3444828 = r3444825 - r3444827;
        double r3444829 = d4;
        double r3444830 = r3444829 * r3444823;
        double r3444831 = r3444828 + r3444830;
        double r3444832 = r3444823 * r3444823;
        double r3444833 = r3444831 - r3444832;
        return r3444833;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r3444834 = d1;
        double r3444835 = d2;
        double r3444836 = d4;
        double r3444837 = r3444835 + r3444836;
        double r3444838 = d3;
        double r3444839 = r3444837 - r3444838;
        double r3444840 = r3444839 - r3444834;
        double r3444841 = r3444834 * r3444840;
        return r3444841;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019155 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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