Average Error: 4.3 → 3.5
Time: 1.4m
Precision: 64
\[\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.1049934947\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.0424060604\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0072644182\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0005064034\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0001789971\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.7715471019\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.2909738639\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0694555761\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0140005442\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0008327945\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(\left(2\right) \cdot \left(0.0001789971\right)\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}\right) \cdot x\]
↓
\[\frac{\left(\left(\left(0.0005064034 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left(x \cdot \left(x \cdot 0.0001789971\right)\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 \cdot \left(x \cdot x\right) + 0.0424060604\right)\right) + \left(1 + \left(x \cdot x\right) \cdot 0.1049934947\right)}{\left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right) + \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(0.0008327945 + 2 \cdot \left(\left(x \cdot x\right) \cdot 0.0001789971\right)\right)\right) + \left(1 + \left(x \cdot x\right) \cdot \left(0.7715471019 + \left(x \cdot x\right) \cdot 0.2909738639\right)\right)} \cdot x\]
\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.1049934947\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.0424060604\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0072644182\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0005064034\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0001789971\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.7715471019\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.2909738639\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0694555761\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0140005442\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0008327945\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(\left(2\right) \cdot \left(0.0001789971\right)\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}\right) \cdot x
↓
\frac{\left(\left(\left(0.0005064034 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left(x \cdot \left(x \cdot 0.0001789971\right)\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 \cdot \left(x \cdot x\right) + 0.0424060604\right)\right) + \left(1 + \left(x \cdot x\right) \cdot 0.1049934947\right)}{\left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right) + \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(0.0008327945 + 2 \cdot \left(\left(x \cdot x\right) \cdot 0.0001789971\right)\right)\right) + \left(1 + \left(x \cdot x\right) \cdot \left(0.7715471019 + \left(x \cdot x\right) \cdot 0.2909738639\right)\right)} \cdot x
double f(double x) {
        double r2515245 = 1.0;
        double r2515246 = /* ERROR: no posit support in C */;
        double r2515247 = 0.1049934947;
        double r2515248 = /* ERROR: no posit support in C */;
        double r2515249 = x;
        double r2515250 = r2515249 * r2515249;
        double r2515251 = r2515248 * r2515250;
        double r2515252 = r2515246 + r2515251;
        double r2515253 = 0.0424060604;
        double r2515254 = /* ERROR: no posit support in C */;
        double r2515255 = r2515250 * r2515250;
        double r2515256 = r2515254 * r2515255;
        double r2515257 = r2515252 + r2515256;
        double r2515258 = 0.0072644182;
        double r2515259 = /* ERROR: no posit support in C */;
        double r2515260 = r2515255 * r2515250;
        double r2515261 = r2515259 * r2515260;
        double r2515262 = r2515257 + r2515261;
        double r2515263 = 0.0005064034;
        double r2515264 = /* ERROR: no posit support in C */;
        double r2515265 = r2515260 * r2515250;
        double r2515266 = r2515264 * r2515265;
        double r2515267 = r2515262 + r2515266;
        double r2515268 = 0.0001789971;
        double r2515269 = /* ERROR: no posit support in C */;
        double r2515270 = r2515265 * r2515250;
        double r2515271 = r2515269 * r2515270;
        double r2515272 = r2515267 + r2515271;
        double r2515273 = 0.7715471019;
        double r2515274 = /* ERROR: no posit support in C */;
        double r2515275 = r2515274 * r2515250;
        double r2515276 = r2515246 + r2515275;
        double r2515277 = 0.2909738639;
        double r2515278 = /* ERROR: no posit support in C */;
        double r2515279 = r2515278 * r2515255;
        double r2515280 = r2515276 + r2515279;
        double r2515281 = 0.0694555761;
        double r2515282 = /* ERROR: no posit support in C */;
        double r2515283 = r2515282 * r2515260;
        double r2515284 = r2515280 + r2515283;
        double r2515285 = 0.0140005442;
        double r2515286 = /* ERROR: no posit support in C */;
        double r2515287 = r2515286 * r2515265;
        double r2515288 = r2515284 + r2515287;
        double r2515289 = 0.0008327945;
        double r2515290 = /* ERROR: no posit support in C */;
        double r2515291 = r2515290 * r2515270;
        double r2515292 = r2515288 + r2515291;
        double r2515293 = 2.0;
        double r2515294 = /* ERROR: no posit support in C */;
        double r2515295 = r2515294 * r2515269;
        double r2515296 = r2515270 * r2515250;
        double r2515297 = r2515295 * r2515296;
        double r2515298 = r2515292 + r2515297;
        double r2515299 = r2515272 / r2515298;
        double r2515300 = r2515299 * r2515249;
        return r2515300;
}
↓
double f(double x) {
        double r2515301 = 0.0005064034;
        double r2515302 = x;
        double r2515303 = r2515302 * r2515302;
        double r2515304 = r2515303 * r2515303;
        double r2515305 = r2515301 * r2515304;
        double r2515306 = r2515305 * r2515304;
        double r2515307 = 0.0001789971;
        double r2515308 = r2515302 * r2515307;
        double r2515309 = r2515302 * r2515308;
        double r2515310 = r2515304 * r2515304;
        double r2515311 = r2515309 * r2515310;
        double r2515312 = r2515306 + r2515311;
        double r2515313 = 0.0072644182;
        double r2515314 = r2515313 * r2515303;
        double r2515315 = 0.0424060604;
        double r2515316 = r2515314 + r2515315;
        double r2515317 = r2515304 * r2515316;
        double r2515318 = r2515312 + r2515317;
        double r2515319 = 1.0;
        double r2515320 = 0.1049934947;
        double r2515321 = r2515303 * r2515320;
        double r2515322 = r2515319 + r2515321;
        double r2515323 = r2515318 + r2515322;
        double r2515324 = 0.0694555761;
        double r2515325 = 0.0140005442;
        double r2515326 = r2515325 * r2515303;
        double r2515327 = r2515324 + r2515326;
        double r2515328 = r2515304 * r2515327;
        double r2515329 = 0.0008327945;
        double r2515330 = 2.0;
        double r2515331 = r2515303 * r2515307;
        double r2515332 = r2515330 * r2515331;
        double r2515333 = r2515329 + r2515332;
        double r2515334 = r2515310 * r2515333;
        double r2515335 = r2515328 + r2515334;
        double r2515336 = r2515303 * r2515335;
        double r2515337 = 0.7715471019;
        double r2515338 = 0.2909738639;
        double r2515339 = r2515303 * r2515338;
        double r2515340 = r2515337 + r2515339;
        double r2515341 = r2515303 * r2515340;
        double r2515342 = r2515319 + r2515341;
        double r2515343 = r2515336 + r2515342;
        double r2515344 = r2515323 / r2515343;
        double r2515345 = r2515344 * r2515302;
        return r2515345;
}

Error

Bits error versus x

Derivation

  1. Initial program 4.3

    \[\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.1049934947\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.0424060604\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0072644182\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0005064034\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0001789971\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(1\right)}{\left(\left(0.7715471019\right) \cdot \left(x \cdot x\right)\right)}\right)}{\left(\left(0.2909738639\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0694555761\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0140005442\right) \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(0.0008327945\right) \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}{\left(\left(\left(2\right) \cdot \left(0.0001789971\right)\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right)}\right)}\right) \cdot x\]

  2. Simplified3.4

    \[\leadsto \color{blue}{\left(\frac{\left(\frac{\left(\frac{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\frac{\left(0.0005064034\right)}{\left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right)}\right)\right)}{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(\left(0.0072644182\right) \cdot \left(x \cdot x\right)\right)}{\left(0.0424060604\right)}\right)\right)}\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(0.1049934947\right)\right)}\right)}\right)}{\left(\frac{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(0.0694555761\right)}{\left(\left(0.0140005442\right) \cdot \left(x \cdot x\right)\right)}\right)\right)}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\frac{\left(0.0008327945\right)}{\left(\left(2\right) \cdot \left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right)\right)}\right)\right)}\right)\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(0.7715471019\right)}{\left(\left(x \cdot x\right) \cdot \left(0.2909738639\right)\right)}\right)\right)}\right)}\right)}\right) \cdot x}\]
  3. Using strategy rm

  4. Applied distribute-rgt-in3.4

    \[\leadsto \left(\frac{\left(\frac{\left(\frac{\color{blue}{\left(\frac{\left(\left(0.0005064034\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right)}{\left(\left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right)}\right)}}{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(\left(0.0072644182\right) \cdot \left(x \cdot x\right)\right)}{\left(0.0424060604\right)}\right)\right)}\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(0.1049934947\right)\right)}\right)}\right)}{\left(\frac{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(0.0694555761\right)}{\left(\left(0.0140005442\right) \cdot \left(x \cdot x\right)\right)}\right)\right)}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\frac{\left(0.0008327945\right)}{\left(\left(2\right) \cdot \left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right)\right)}\right)\right)}\right)\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(0.7715471019\right)}{\left(\left(x \cdot x\right) \cdot \left(0.2909738639\right)\right)}\right)\right)}\right)}\right)}\right) \cdot x\]
  5. Using strategy rm

  6. Applied associate-*r*3.4

    \[\leadsto \left(\frac{\left(\frac{\left(\frac{\left(\frac{\color{blue}{\left(\left(\left(0.0005064034\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}}{\left(\left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right)}\right)}{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(\left(0.0072644182\right) \cdot \left(x \cdot x\right)\right)}{\left(0.0424060604\right)}\right)\right)}\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(0.1049934947\right)\right)}\right)}\right)}{\left(\frac{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(0.0694555761\right)}{\left(\left(0.0140005442\right) \cdot \left(x \cdot x\right)\right)}\right)\right)}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\frac{\left(0.0008327945\right)}{\left(\left(2\right) \cdot \left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right)\right)}\right)\right)}\right)\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(0.7715471019\right)}{\left(\left(x \cdot x\right) \cdot \left(0.2909738639\right)\right)}\right)\right)}\right)}\right)}\right) \cdot x\]
  7. Using strategy rm

  8. Applied associate-*l*3.5

    \[\leadsto \left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\left(\left(0.0005064034\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)}{\left(\color{blue}{\left(x \cdot \left(x \cdot \left(0.0001789971\right)\right)\right)} \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right)}\right)}{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(\left(0.0072644182\right) \cdot \left(x \cdot x\right)\right)}{\left(0.0424060604\right)}\right)\right)}\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(0.1049934947\right)\right)}\right)}\right)}{\left(\frac{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\frac{\left(0.0694555761\right)}{\left(\left(0.0140005442\right) \cdot \left(x \cdot x\right)\right)}\right)\right)}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\frac{\left(0.0008327945\right)}{\left(\left(2\right) \cdot \left(\left(x \cdot x\right) \cdot \left(0.0001789971\right)\right)\right)}\right)\right)}\right)\right)}{\left(\frac{\left(1\right)}{\left(\left(x \cdot x\right) \cdot \left(\frac{\left(0.7715471019\right)}{\left(\left(x \cdot x\right) \cdot \left(0.2909738639\right)\right)}\right)\right)}\right)}\right)}\right) \cdot x\]

  9. Final simplification3.5

    \[\leadsto \frac{\left(\left(\left(0.0005064034 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left(x \cdot \left(x \cdot 0.0001789971\right)\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 \cdot \left(x \cdot x\right) + 0.0424060604\right)\right) + \left(1 + \left(x \cdot x\right) \cdot 0.1049934947\right)}{\left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right) + \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(0.0008327945 + 2 \cdot \left(\left(x \cdot x\right) \cdot 0.0001789971\right)\right)\right) + \left(1 + \left(x \cdot x\right) \cdot \left(0.7715471019 + \left(x \cdot x\right) \cdot 0.2909738639\right)\right)} \cdot x\]

Reproduce

herbie shell --seed 2019153 +o rules:numerics
(FPCore (x)
  :name "Jmat.Real.dawson"
  (*.p16 (/.p16 (+.p16 (+.p16 (+.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (real->posit16 0.1049934947) (*.p16 x x))) (*.p16 (real->posit16 0.0424060604) (*.p16 (*.p16 x x) (*.p16 x x)))) (*.p16 (real->posit16 0.0072644182) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)))) (*.p16 (real->posit16 0.0005064034) (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)))) (*.p16 (real->posit16 0.0001789971) (*.p16 (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)))) (+.p16 (+.p16 (+.p16 (+.p16 (+.p16 (+.p16 (real->posit16 1) (*.p16 (real->posit16 0.7715471019) (*.p16 x x))) (*.p16 (real->posit16 0.2909738639) (*.p16 (*.p16 x x) (*.p16 x x)))) (*.p16 (real->posit16 0.0694555761) (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)))) (*.p16 (real->posit16 0.0140005442) (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)))) (*.p16 (real->posit16 0.0008327945) (*.p16 (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)))) (*.p16 (*.p16 (real->posit16 2) (real->posit16 0.0001789971)) (*.p16 (*.p16 (*.p16 (*.p16 (*.p16 (*.p16 x x) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)) (*.p16 x x)) (*.p16 x x))))) x))