Average Error: 0.0 → 0.0
Time: 12.9s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[d1 \cdot \left(\left(d2 - \left(d1 + d3\right)\right) + d4\right)\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
d1 \cdot \left(\left(d2 - \left(d1 + d3\right)\right) + d4\right)
double f(double d1, double d2, double d3, double d4) {
        double r8027935 = d1;
        double r8027936 = d2;
        double r8027937 = r8027935 * r8027936;
        double r8027938 = d3;
        double r8027939 = r8027935 * r8027938;
        double r8027940 = r8027937 - r8027939;
        double r8027941 = d4;
        double r8027942 = r8027941 * r8027935;
        double r8027943 = r8027940 + r8027942;
        double r8027944 = r8027935 * r8027935;
        double r8027945 = r8027943 - r8027944;
        return r8027945;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r8027946 = d1;
        double r8027947 = d2;
        double r8027948 = d3;
        double r8027949 = r8027946 + r8027948;
        double r8027950 = r8027947 - r8027949;
        double r8027951 = d4;
        double r8027952 = r8027950 + r8027951;
        double r8027953 = r8027946 * r8027952;
        return r8027953;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019142 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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