Average Error: 49.2 → 49.2
Time: 1.3s
Precision: 64
\[1.9 \le t \le 2.1\]
\[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]
↓
\[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]
1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}
↓
1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}
double f(double t) {
        double r2780963 = 1.7e+308;
        double r2780964 = t;
        double r2780965 = r2780963 * r2780964;
        double r2780966 = r2780965 - r2780963;
        return r2780966;
}
↓
double f(double t) {
        double r2780967 = 1.7e+308;
        double r2780968 = t;
        double r2780969 = r2780967 * r2780968;
        double r2780970 = r2780969 - r2780967;
        return r2780970;
}

Error

Bits error versus t

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original49.2
Target0
Herbie49.2
\[(\left( 1.7 \cdot 10^{+308} \right) \cdot t + \left(-1.7 \cdot 10^{+308}\right))_*\]

Derivation

  1. Initial program 49.2

    \[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

  2. Final simplification49.2

    \[\leadsto 1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

Reproduce

herbie shell --seed 2019104 
(FPCore (t)
  :name "fma_test2"
  :pre (<= 1.9 t 2.1)

  :herbie-target
  (fma 1.7e+308 t (- 1.7e+308))

  (- (* 1.7e+308 t) 1.7e+308))