Average Error: 0.3 → 0
Time: 839.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[d \cdot 30\]
d \cdot 10 + d \cdot 20
↓
d \cdot 30
double f(double d) {
        double r9376945 = d;
        double r9376946 = 10.0;
        double r9376947 = r9376945 * r9376946;
        double r9376948 = 20.0;
        double r9376949 = r9376945 * r9376948;
        double r9376950 = r9376947 + r9376949;
        return r9376950;
}
↓
double f(double d) {
        double r9376951 = d;
        double r9376952 = 30.0;
        double r9376953 = r9376951 * r9376952;
        return r9376953;
}

Error

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0
Herbie0
\[d \cdot 30\]

Derivation

  1. Initial program 0.3

    \[d \cdot 10 + d \cdot 20\]

  2. Simplified0

    \[\leadsto \color{blue}{d \cdot 30}\]

  3. Final simplification0

    \[\leadsto d \cdot 30\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

  (+ (* d 10) (* d 20)))