Average Error: 0.3 → 0
Time: 800.0ms
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 r3835048 = d;
        double r3835049 = 10.0;
        double r3835050 = r3835048 * r3835049;
        double r3835051 = 20.0;
        double r3835052 = r3835048 * r3835051;
        double r3835053 = r3835050 + r3835052;
        return r3835053;
}
↓
double f(double d) {
        double r3835054 = d;
        double r3835055 = 30.0;
        double r3835056 = r3835054 * r3835055;
        return r3835056;
}

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 2019153 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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