Average Error: 0.0 → 0.0
Time: 39.2s
Precision: 64
\[\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1\]
↓
\[\left(d4 \cdot d1 + \left(d2 - d3\right) \cdot d1\right) - d1 \cdot d1\]
\left(\left(d1 \cdot d2 - d1 \cdot d3\right) + d4 \cdot d1\right) - d1 \cdot d1
↓
\left(d4 \cdot d1 + \left(d2 - d3\right) \cdot d1\right) - d1 \cdot d1
double f(double d1, double d2, double d3, double d4) {
        double r12459955 = d1;
        double r12459956 = d2;
        double r12459957 = r12459955 * r12459956;
        double r12459958 = d3;
        double r12459959 = r12459955 * r12459958;
        double r12459960 = r12459957 - r12459959;
        double r12459961 = d4;
        double r12459962 = r12459961 * r12459955;
        double r12459963 = r12459960 + r12459962;
        double r12459964 = r12459955 * r12459955;
        double r12459965 = r12459963 - r12459964;
        return r12459965;
}
↓
double f(double d1, double d2, double d3, double d4) {
        double r12459966 = d4;
        double r12459967 = d1;
        double r12459968 = r12459966 * r12459967;
        double r12459969 = d2;
        double r12459970 = d3;
        double r12459971 = r12459969 - r12459970;
        double r12459972 = r12459971 * r12459967;
        double r12459973 = r12459968 + r12459972;
        double r12459974 = r12459967 * r12459967;
        double r12459975 = r12459973 - r12459974;
        return r12459975;
}

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. Using strategy rm

  3. Applied distribute-lft-out--0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (d1 d2 d3 d4)
  :name "FastMath dist4"

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

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