Average Error: 64.0 → 64.0
Time: 1.2s
Precision: 64
\[1.899999999999999911182158029987476766109 \le t \le 2.100000000000000088817841970012523233891\]
\[1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}\]
↓
\[1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}\]
1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}
↓
1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}
double f(double t) {
        double r41135 = 1.7e+308;
        double r41136 = t;
        double r41137 = r41135 * r41136;
        double r41138 = r41137 - r41135;
        return r41138;
}
↓
double f(double t) {
        double r41139 = 1.7e+308;
        double r41140 = t;
        double r41141 = r41139 * r41140;
        double r41142 = r41141 - r41139;
        return r41142;
}

Error

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original64.0
Target0
Herbie64.0
\[\mathsf{fma}\left(1.699999999999999938830795788659981743333 \cdot 10^{308}, t, -1.699999999999999938830795788659981743333 \cdot 10^{308}\right)\]

Derivation

  1. Initial program 64.0

    \[1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}\]

  2. Final simplification64.0

    \[\leadsto 1.699999999999999938830795788659981743333 \cdot 10^{308} \cdot t - 1.699999999999999938830795788659981743333 \cdot 10^{308}\]

Reproduce

herbie shell --seed 2019308 
(FPCore (t)
  :name "fma_test2"
  :precision binary64
  :pre (<= 1.8999999999999999 t 2.10000000000000009)

  :herbie-target
  (fma 1.6999999999999999e308 t (- 1.6999999999999999e308))

  (- (* 1.6999999999999999e308 t) 1.6999999999999999e308))