Average Error: 0.1 → 0.1
Time: 18.1s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
double f(double d1, double d2, double d3) {
        double r23438094 = d1;
        double r23438095 = 3.0;
        double r23438096 = r23438094 * r23438095;
        double r23438097 = d2;
        double r23438098 = r23438094 * r23438097;
        double r23438099 = r23438096 + r23438098;
        double r23438100 = d3;
        double r23438101 = r23438094 * r23438100;
        double r23438102 = r23438099 + r23438101;
        return r23438102;
}
↓
double f(double d1, double d2, double d3) {
        double r23438103 = d1;
        double r23438104 = 3.0;
        double r23438105 = r23438103 * r23438104;
        double r23438106 = d2;
        double r23438107 = r23438103 * r23438106;
        double r23438108 = r23438105 + r23438107;
        double r23438109 = d3;
        double r23438110 = r23438103 * r23438109;
        double r23438111 = r23438108 + r23438110;
        return r23438111;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Final simplification0.1

    \[\leadsto \left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

Reproduce

herbie shell --seed 2019173 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3.0 d2) d3))

  (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))