Average Error: 0.0 → 0.0
Time: 37.4s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 + d4\right) - \left(d1 + d3\right)\right)
double f(double d1, double d2, double d3, double d4) {
        double r40842010 = d1;
        double r40842011 = d2;
        double r40842012 = r40842010 * r40842011;
        double r40842013 = d3;
        double r40842014 = r40842010 * r40842013;
        double r40842015 = r40842012 - r40842014;
        double r40842016 = d4;
        double r40842017 = r40842016 * r40842010;
        double r40842018 = r40842015 + r40842017;
        double r40842019 = r40842010 * r40842010;
        double r40842020 = r40842018 - r40842019;
        return r40842020;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r40842021 = d1;
        double r40842022 = d2;
        double r40842023 = d4;
        double r40842024 = r40842022 + r40842023;
        double r40842025 = d3;
        double r40842026 = r40842021 + r40842025;
        double r40842027 = r40842024 - r40842026;
        double r40842028 = r40842021 * r40842027;
        return r40842028;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019124 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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