0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.001 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.002 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.003 * * * * [points]: Setting MPFR precision to 64 0.004 * * * * [points]: Setting MPFR precision to 320 0.005 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.008 * * * * [points]: Setting MPFR precision to 320 0.009 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.011 * * * * [points]: Setting MPFR precision to 64 0.014 * * * * [points]: Setting MPFR precision to 320 0.016 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.018 * * * * [points]: Setting MPFR precision to 64 0.022 * * * * [points]: Setting MPFR precision to 320 0.028 * * * * [points]: Computing exacts for 256 points 0.031 * * * * [points]: Setting MPFR precision to 64 0.051 * * * * [points]: Setting MPFR precision to 320 0.075 * * * * [points]: Filtering points with unrepresentable outputs 0.076 * * * * [points]: Sampled 256 points with exact outputs 0.076 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 0.093 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 0.093 * * [simplify]: iters left: 5 (9 enodes) 0.097 * * [simplify]: iters left: 4 (22 enodes) 0.105 * * [simplify]: iters left: 3 (42 enodes) 0.113 * * [simplify]: iters left: 2 (100 enodes) 0.147 * * [simplify]: iters left: 1 (347 enodes) 0.398 * * [simplify]: Extracting #0: cost 1 inf + 0 0.398 * * [simplify]: Extracting #1: cost 48 inf + 0 0.400 * * [simplify]: Extracting #2: cost 269 inf + 0 0.403 * * [simplify]: Extracting #3: cost 457 inf + 1 0.421 * * [simplify]: Extracting #4: cost 422 inf + 210469 0.512 * * [simplify]: Extracting #5: cost 77 inf + 915056 0.635 * * [simplify]: Extracting #6: cost 3 inf + 1114648 0.760 * * [simplify]: Extracting #7: cost 1 inf + 1091652 0.884 * * [simplify]: Extracting #8: cost 0 inf + 1093814 0.974 * * [simplify]: Extracting #9: cost 0 inf + 1093774 1.053 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 1.053 * [simplify]: Simplified (2) to (λ (x) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) 1.070 * * [progress]: iteration 1 / 4 1.070 * * * [progress]: picking best candidate 1.086 * * * * [pick]: Picked #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 1.086 * * * [progress]: localizing error 1.295 * * * [progress]: generating rewritten candidates 1.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.301 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.305 * * * [progress]: generating series expansions 1.305 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.305 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.305 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.305 * * * [progress]: simplifying candidates 1.305 * * * * [progress]: [ 1 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (neg.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 1.305 * * * * [progress]: [ 2 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 1.305 * * * * [progress]: [ 3 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 1.306 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 1.306 * * [simplify]: iters left: 5 (9 enodes) 1.311 * * [simplify]: iters left: 4 (22 enodes) 1.320 * * [simplify]: iters left: 3 (42 enodes) 1.346 * * [simplify]: iters left: 2 (100 enodes) 1.392 * * [simplify]: iters left: 1 (347 enodes) 1.644 * * [simplify]: Extracting #0: cost 1 inf + 0 1.644 * * [simplify]: Extracting #1: cost 48 inf + 0 1.646 * * [simplify]: Extracting #2: cost 269 inf + 0 1.648 * * [simplify]: Extracting #3: cost 457 inf + 1 1.666 * * [simplify]: Extracting #4: cost 422 inf + 210469 1.737 * * [simplify]: Extracting #5: cost 77 inf + 915056 1.837 * * [simplify]: Extracting #6: cost 3 inf + 1114648 1.960 * * [simplify]: Extracting #7: cost 1 inf + 1091652 2.083 * * [simplify]: Extracting #8: cost 0 inf + 1093814 2.203 * * [simplify]: Extracting #9: cost 0 inf + 1093774 2.327 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 2.327 * [simplify]: Simplified (2) to (λ (x) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) 2.327 * * * * [progress]: [ 4 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 2.327 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 2.327 * * [simplify]: iters left: 5 (9 enodes) 2.332 * * [simplify]: iters left: 4 (22 enodes) 2.340 * * [simplify]: iters left: 3 (42 enodes) 2.355 * * [simplify]: iters left: 2 (100 enodes) 2.401 * * [simplify]: iters left: 1 (347 enodes) 2.589 * * [simplify]: Extracting #0: cost 1 inf + 0 2.589 * * [simplify]: Extracting #1: cost 48 inf + 0 2.590 * * [simplify]: Extracting #2: cost 269 inf + 0 2.592 * * [simplify]: Extracting #3: cost 457 inf + 1 2.601 * * [simplify]: Extracting #4: cost 422 inf + 210469 2.653 * * [simplify]: Extracting #5: cost 77 inf + 915056 2.768 * * [simplify]: Extracting #6: cost 3 inf + 1114648 2.844 * * [simplify]: Extracting #7: cost 1 inf + 1091652 2.913 * * [simplify]: Extracting #8: cost 0 inf + 1093814 2.975 * * [simplify]: Extracting #9: cost 0 inf + 1093774 3.058 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 3.058 * [simplify]: Simplified (2) to (λ (x) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) 3.058 * * * * [progress]: [ 5 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 3.058 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 3.058 * * [simplify]: iters left: 5 (9 enodes) 3.061 * * [simplify]: iters left: 4 (22 enodes) 3.065 * * [simplify]: iters left: 3 (42 enodes) 3.075 * * [simplify]: iters left: 2 (100 enodes) 3.097 * * [simplify]: iters left: 1 (347 enodes) 3.254 * * [simplify]: Extracting #0: cost 1 inf + 0 3.254 * * [simplify]: Extracting #1: cost 48 inf + 0 3.255 * * [simplify]: Extracting #2: cost 269 inf + 0 3.256 * * [simplify]: Extracting #3: cost 457 inf + 1 3.265 * * [simplify]: Extracting #4: cost 422 inf + 210469 3.310 * * [simplify]: Extracting #5: cost 77 inf + 915056 3.381 * * [simplify]: Extracting #6: cost 3 inf + 1114648 3.479 * * [simplify]: Extracting #7: cost 1 inf + 1091652 3.593 * * [simplify]: Extracting #8: cost 0 inf + 1093814 3.656 * * [simplify]: Extracting #9: cost 0 inf + 1093774 3.720 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 3.720 * [simplify]: Simplified (2) to (λ (x) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) 3.720 * * * * [progress]: [ 6 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 3.721 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 3.721 * * [simplify]: iters left: 5 (9 enodes) 3.723 * * [simplify]: iters left: 4 (22 enodes) 3.728 * * [simplify]: iters left: 3 (42 enodes) 3.737 * * [simplify]: iters left: 2 (100 enodes) 3.762 * * [simplify]: iters left: 1 (347 enodes) 4.048 * * [simplify]: Extracting #0: cost 1 inf + 0 4.048 * * [simplify]: Extracting #1: cost 48 inf + 0 4.049 * * [simplify]: Extracting #2: cost 269 inf + 0 4.052 * * [simplify]: Extracting #3: cost 457 inf + 1 4.069 * * [simplify]: Extracting #4: cost 422 inf + 210469 4.149 * * [simplify]: Extracting #5: cost 77 inf + 915056 4.258 * * [simplify]: Extracting #6: cost 3 inf + 1114648 4.384 * * [simplify]: Extracting #7: cost 1 inf + 1091652 4.506 * * [simplify]: Extracting #8: cost 0 inf + 1093814 4.619 * * [simplify]: Extracting #9: cost 0 inf + 1093774 4.722 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 4.722 * [simplify]: Simplified (2) to (λ (x) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) 4.722 * * * [progress]: adding candidates to table 4.874 * * [progress]: iteration 2 / 4 4.874 * * * [progress]: picking best candidate 4.892 * * * * [pick]: Picked #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 4.892 * * * [progress]: localizing error 5.295 * * * [progress]: generating rewritten candidates 5.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.304 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 5.308 * * * [progress]: generating series expansions 5.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.308 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 5.308 * * * [progress]: simplifying candidates 5.308 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 5.309 * [simplify]: Simplifying (sqrt.p16 (+.p16 x (real->posit16 1))) 5.309 * * [simplify]: iters left: 3 (5 enodes) 5.311 * * [simplify]: iters left: 2 (11 enodes) 5.315 * * [simplify]: iters left: 1 (13 enodes) 5.319 * * [simplify]: Extracting #0: cost 1 inf + 0 5.319 * * [simplify]: Extracting #1: cost 2 inf + 0 5.319 * * [simplify]: Extracting #2: cost 4 inf + 0 5.319 * * [simplify]: Extracting #3: cost 4 inf + 1 5.319 * * [simplify]: Extracting #4: cost 0 inf + 127 5.319 * [simplify]: Simplified to (sqrt.p16 (+.p16 (real->posit16 1) x)) 5.320 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 5.320 * * * * [progress]: [ 2 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 5.320 * [simplify]: Simplifying (*.p16 (real->posit16 1) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 5.320 * * [simplify]: iters left: 5 (7 enodes) 5.323 * * [simplify]: iters left: 4 (16 enodes) 5.329 * * [simplify]: iters left: 3 (20 enodes) 5.335 * * [simplify]: Extracting #0: cost 1 inf + 0 5.335 * * [simplify]: Extracting #1: cost 6 inf + 0 5.335 * * [simplify]: Extracting #2: cost 8 inf + 0 5.335 * * [simplify]: Extracting #3: cost 8 inf + 1 5.335 * * [simplify]: Extracting #4: cost 5 inf + 324 5.335 * * [simplify]: Extracting #5: cost 0 inf + 2334 5.336 * [simplify]: Simplified to (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))) (real->posit16 1)) 5.336 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 5.336 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 5.336 * * * * [progress]: [ 4 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 5.336 * [simplify]: Simplifying (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 5.336 * * [simplify]: iters left: 5 (9 enodes) 5.340 * * [simplify]: iters left: 4 (16 enodes) 5.345 * * [simplify]: iters left: 3 (18 enodes) 5.351 * * [simplify]: Extracting #0: cost 1 inf + 0 5.351 * * [simplify]: Extracting #1: cost 3 inf + 0 5.351 * * [simplify]: Extracting #2: cost 6 inf + 0 5.351 * * [simplify]: Extracting #3: cost 9 inf + 0 5.351 * * [simplify]: Extracting #4: cost 6 inf + 43 5.351 * * [simplify]: Extracting #5: cost 0 inf + 2214 5.352 * [simplify]: Simplified to (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 5.352 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 5.352 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 5.352 * * [simplify]: iters left: 5 (9 enodes) 5.356 * * [simplify]: iters left: 4 (22 enodes) 5.364 * * [simplify]: iters left: 3 (42 enodes) 5.379 * * [simplify]: iters left: 2 (100 enodes) 5.424 * * [simplify]: iters left: 1 (347 enodes) 5.730 * * [simplify]: Extracting #0: cost 1 inf + 0 5.730 * * [simplify]: Extracting #1: cost 48 inf + 0 5.732 * * [simplify]: Extracting #2: cost 269 inf + 0 5.735 * * [simplify]: Extracting #3: cost 457 inf + 1 5.753 * * [simplify]: Extracting #4: cost 422 inf + 210469 5.843 * * [simplify]: Extracting #5: cost 77 inf + 915056 5.976 * * [simplify]: Extracting #6: cost 3 inf + 1114648 6.046 * * [simplify]: Extracting #7: cost 1 inf + 1091652 6.108 * * [simplify]: Extracting #8: cost 0 inf + 1093814 6.200 * * [simplify]: Extracting #9: cost 0 inf + 1093774 6.322 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 6.322 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 6.322 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (neg.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.322 * * * * [progress]: [ 6 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.322 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.322 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.323 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.323 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.323 * * * [progress]: adding candidates to table 6.598 * * [progress]: iteration 3 / 4 6.598 * * * [progress]: picking best candidate 6.657 * * * * [pick]: Picked #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.658 * * * [progress]: localizing error 6.964 * * * [progress]: generating rewritten candidates 6.964 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 6.969 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 6.971 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 6.973 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 6.976 * * * [progress]: generating series expansions 6.976 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 6.976 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 6.976 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 6.976 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 6.976 * * * [progress]: simplifying candidates 6.976 * * * * [progress]: [ 1 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (neg.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.976 * * * * [progress]: [ 2 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.976 * * * * [progress]: [ 3 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 6.976 * [simplify]: Simplifying (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 6.976 * * [simplify]: iters left: 5 (9 enodes) 6.981 * * [simplify]: iters left: 4 (16 enodes) 6.986 * * [simplify]: iters left: 3 (18 enodes) 6.991 * * [simplify]: Extracting #0: cost 1 inf + 0 6.992 * * [simplify]: Extracting #1: cost 3 inf + 0 6.992 * * [simplify]: Extracting #2: cost 6 inf + 0 6.992 * * [simplify]: Extracting #3: cost 9 inf + 0 6.992 * * [simplify]: Extracting #4: cost 6 inf + 43 6.992 * * [simplify]: Extracting #5: cost 0 inf + 2214 6.992 * [simplify]: Simplified to (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 6.992 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 6.993 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 6.993 * * [simplify]: iters left: 5 (9 enodes) 6.997 * * [simplify]: iters left: 4 (22 enodes) 7.005 * * [simplify]: iters left: 3 (42 enodes) 7.021 * * [simplify]: iters left: 2 (100 enodes) 7.071 * * [simplify]: iters left: 1 (347 enodes) 7.320 * * [simplify]: Extracting #0: cost 1 inf + 0 7.320 * * [simplify]: Extracting #1: cost 48 inf + 0 7.321 * * [simplify]: Extracting #2: cost 269 inf + 0 7.322 * * [simplify]: Extracting #3: cost 457 inf + 1 7.332 * * [simplify]: Extracting #4: cost 422 inf + 210469 7.423 * * [simplify]: Extracting #5: cost 77 inf + 915056 7.487 * * [simplify]: Extracting #6: cost 3 inf + 1114648 7.551 * * [simplify]: Extracting #7: cost 1 inf + 1091652 7.615 * * [simplify]: Extracting #8: cost 0 inf + 1093814 7.678 * * [simplify]: Extracting #9: cost 0 inf + 1093774 7.740 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 7.740 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 7.740 * * * * [progress]: [ 4 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 7.741 * [simplify]: Simplifying (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 7.741 * * [simplify]: iters left: 5 (9 enodes) 7.743 * * [simplify]: iters left: 4 (16 enodes) 7.746 * * [simplify]: iters left: 3 (18 enodes) 7.752 * * [simplify]: Extracting #0: cost 1 inf + 0 7.752 * * [simplify]: Extracting #1: cost 3 inf + 0 7.752 * * [simplify]: Extracting #2: cost 6 inf + 0 7.752 * * [simplify]: Extracting #3: cost 9 inf + 0 7.752 * * [simplify]: Extracting #4: cost 6 inf + 43 7.752 * * [simplify]: Extracting #5: cost 0 inf + 2214 7.753 * [simplify]: Simplified to (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 7.753 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 7.753 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 7.753 * * [simplify]: iters left: 5 (9 enodes) 7.758 * * [simplify]: iters left: 4 (22 enodes) 7.766 * * [simplify]: iters left: 3 (42 enodes) 7.785 * * [simplify]: iters left: 2 (100 enodes) 7.829 * * [simplify]: iters left: 1 (347 enodes) 8.053 * * [simplify]: Extracting #0: cost 1 inf + 0 8.053 * * [simplify]: Extracting #1: cost 48 inf + 0 8.054 * * [simplify]: Extracting #2: cost 269 inf + 0 8.055 * * [simplify]: Extracting #3: cost 457 inf + 1 8.064 * * [simplify]: Extracting #4: cost 422 inf + 210469 8.115 * * [simplify]: Extracting #5: cost 77 inf + 915056 8.239 * * [simplify]: Extracting #6: cost 3 inf + 1114648 8.353 * * [simplify]: Extracting #7: cost 1 inf + 1091652 8.448 * * [simplify]: Extracting #8: cost 0 inf + 1093814 8.572 * * [simplify]: Extracting #9: cost 0 inf + 1093774 8.695 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 8.695 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 8.695 * * * * [progress]: [ 5 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 8.696 * [simplify]: Simplifying (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 8.696 * * [simplify]: iters left: 5 (9 enodes) 8.700 * * [simplify]: iters left: 4 (16 enodes) 8.705 * * [simplify]: iters left: 3 (18 enodes) 8.710 * * [simplify]: Extracting #0: cost 1 inf + 0 8.710 * * [simplify]: Extracting #1: cost 3 inf + 0 8.710 * * [simplify]: Extracting #2: cost 6 inf + 0 8.710 * * [simplify]: Extracting #3: cost 9 inf + 0 8.710 * * [simplify]: Extracting #4: cost 6 inf + 43 8.711 * * [simplify]: Extracting #5: cost 0 inf + 2214 8.711 * [simplify]: Simplified to (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 8.711 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 8.711 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 8.711 * * [simplify]: iters left: 5 (9 enodes) 8.715 * * [simplify]: iters left: 4 (22 enodes) 8.722 * * [simplify]: iters left: 3 (42 enodes) 8.736 * * [simplify]: iters left: 2 (100 enodes) 8.770 * * [simplify]: iters left: 1 (347 enodes) 8.992 * * [simplify]: Extracting #0: cost 1 inf + 0 8.992 * * [simplify]: Extracting #1: cost 48 inf + 0 8.992 * * [simplify]: Extracting #2: cost 269 inf + 0 8.994 * * [simplify]: Extracting #3: cost 457 inf + 1 9.008 * * [simplify]: Extracting #4: cost 422 inf + 210469 9.098 * * [simplify]: Extracting #5: cost 77 inf + 915056 9.223 * * [simplify]: Extracting #6: cost 3 inf + 1114648 9.303 * * [simplify]: Extracting #7: cost 1 inf + 1091652 9.421 * * [simplify]: Extracting #8: cost 0 inf + 1093814 9.542 * * [simplify]: Extracting #9: cost 0 inf + 1093774 9.664 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 9.665 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 9.665 * * * * [progress]: [ 6 / 6 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 9.665 * [simplify]: Simplifying (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 9.665 * * [simplify]: iters left: 5 (9 enodes) 9.669 * * [simplify]: iters left: 4 (16 enodes) 9.675 * * [simplify]: iters left: 3 (18 enodes) 9.681 * * [simplify]: Extracting #0: cost 1 inf + 0 9.681 * * [simplify]: Extracting #1: cost 3 inf + 0 9.681 * * [simplify]: Extracting #2: cost 6 inf + 0 9.681 * * [simplify]: Extracting #3: cost 9 inf + 0 9.681 * * [simplify]: Extracting #4: cost 6 inf + 43 9.681 * * [simplify]: Extracting #5: cost 0 inf + 2214 9.681 * [simplify]: Simplified to (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 9.682 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 9.682 * [simplify]: Simplifying (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) 9.682 * * [simplify]: iters left: 5 (9 enodes) 9.686 * * [simplify]: iters left: 4 (22 enodes) 9.695 * * [simplify]: iters left: 3 (42 enodes) 9.711 * * [simplify]: iters left: 2 (100 enodes) 9.736 * * [simplify]: iters left: 1 (347 enodes) 9.976 * * [simplify]: Extracting #0: cost 1 inf + 0 9.976 * * [simplify]: Extracting #1: cost 48 inf + 0 9.976 * * [simplify]: Extracting #2: cost 269 inf + 0 9.978 * * [simplify]: Extracting #3: cost 457 inf + 1 9.987 * * [simplify]: Extracting #4: cost 422 inf + 210469 10.032 * * [simplify]: Extracting #5: cost 77 inf + 915056 10.112 * * [simplify]: Extracting #6: cost 3 inf + 1114648 10.175 * * [simplify]: Extracting #7: cost 1 inf + 1091652 10.238 * * [simplify]: Extracting #8: cost 0 inf + 1093814 10.301 * * [simplify]: Extracting #9: cost 0 inf + 1093774 10.364 * [simplify]: Simplified to (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) 10.364 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.364 * * * [progress]: adding candidates to table 10.462 * * [progress]: iteration 4 / 4 10.462 * * * [progress]: picking best candidate 10.484 * * * * [pick]: Picked #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.484 * * * [progress]: localizing error 10.747 * * * [progress]: generating rewritten candidates 10.747 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.753 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 10.754 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 10.755 * * * [progress]: generating series expansions 10.755 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.755 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.755 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 10.755 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 10.755 * * * [progress]: simplifying candidates 10.755 * * * * [progress]: [ 1 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (neg.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.755 * * * * [progress]: [ 2 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.755 * * * * [progress]: [ 3 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (real->posit16 1)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.755 * [simplify]: Simplifying (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) 10.755 * * [simplify]: iters left: 4 (6 enodes) 10.757 * * [simplify]: iters left: 3 (12 enodes) 10.759 * * [simplify]: iters left: 2 (14 enodes) 10.761 * * [simplify]: Extracting #0: cost 1 inf + 0 10.761 * * [simplify]: Extracting #1: cost 3 inf + 0 10.761 * * [simplify]: Extracting #2: cost 5 inf + 0 10.761 * * [simplify]: Extracting #3: cost 5 inf + 1 10.762 * * [simplify]: Extracting #4: cost 0 inf + 649 10.762 * [simplify]: Simplified to (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))) 10.762 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))) (/.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (real->posit16 1)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.762 * * * * [progress]: [ 4 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (real->posit16 1) (real->posit16 1)) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.762 * [simplify]: Simplifying (*.p16 (real->posit16 1) (real->posit16 1)) 10.762 * * [simplify]: iters left: 2 (3 enodes) 10.763 * * [simplify]: iters left: 1 (6 enodes) 10.764 * * [simplify]: Extracting #0: cost 1 inf + 0 10.764 * * [simplify]: Extracting #1: cost 2 inf + 0 10.764 * * [simplify]: Extracting #2: cost 3 inf + 0 10.764 * * [simplify]: Extracting #3: cost 2 inf + 1 10.764 * * [simplify]: Extracting #4: cost 0 inf + 323 10.764 * [simplify]: Simplified to (*.p16 (real->posit16 1) (real->posit16 1)) 10.764 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (real->posit16 1) (real->posit16 1)) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.765 * * * * [progress]: [ 5 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.765 * [simplify]: Simplifying (sqrt.p16 (+.p16 x (real->posit16 1))) 10.765 * * [simplify]: iters left: 3 (5 enodes) 10.766 * * [simplify]: iters left: 2 (11 enodes) 10.768 * * [simplify]: iters left: 1 (13 enodes) 10.770 * * [simplify]: Extracting #0: cost 1 inf + 0 10.770 * * [simplify]: Extracting #1: cost 2 inf + 0 10.770 * * [simplify]: Extracting #2: cost 4 inf + 0 10.770 * * [simplify]: Extracting #3: cost 4 inf + 1 10.770 * * [simplify]: Extracting #4: cost 0 inf + 127 10.770 * [simplify]: Simplified to (sqrt.p16 (+.p16 (real->posit16 1) x)) 10.770 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.770 * * * * [progress]: [ 6 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.770 * [simplify]: Simplifying (sqrt.p16 (+.p16 x (real->posit16 1))) 10.771 * * [simplify]: iters left: 3 (5 enodes) 10.772 * * [simplify]: iters left: 2 (11 enodes) 10.774 * * [simplify]: iters left: 1 (13 enodes) 10.776 * * [simplify]: Extracting #0: cost 1 inf + 0 10.776 * * [simplify]: Extracting #1: cost 2 inf + 0 10.776 * * [simplify]: Extracting #2: cost 4 inf + 0 10.776 * * [simplify]: Extracting #3: cost 4 inf + 1 10.776 * * [simplify]: Extracting #4: cost 0 inf + 127 10.776 * [simplify]: Simplified to (sqrt.p16 (+.p16 (real->posit16 1) x)) 10.776 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.776 * * * * [progress]: [ 7 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.777 * [simplify]: Simplifying (sqrt.p16 (+.p16 x (real->posit16 1))) 10.777 * * [simplify]: iters left: 3 (5 enodes) 10.778 * * [simplify]: iters left: 2 (11 enodes) 10.780 * * [simplify]: iters left: 1 (13 enodes) 10.782 * * [simplify]: Extracting #0: cost 1 inf + 0 10.782 * * [simplify]: Extracting #1: cost 2 inf + 0 10.782 * * [simplify]: Extracting #2: cost 4 inf + 0 10.782 * * [simplify]: Extracting #3: cost 4 inf + 1 10.782 * * [simplify]: Extracting #4: cost 0 inf + 127 10.782 * [simplify]: Simplified to (sqrt.p16 (+.p16 (real->posit16 1) x)) 10.782 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.782 * * * * [progress]: [ 8 / 8 ] simplifiying candidate #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> 10.783 * [simplify]: Simplifying (sqrt.p16 (+.p16 x (real->posit16 1))) 10.783 * * [simplify]: iters left: 3 (5 enodes) 10.784 * * [simplify]: iters left: 2 (11 enodes) 10.786 * * [simplify]: iters left: 1 (13 enodes) 10.788 * * [simplify]: Extracting #0: cost 1 inf + 0 10.788 * * [simplify]: Extracting #1: cost 2 inf + 0 10.788 * * [simplify]: Extracting #2: cost 4 inf + 0 10.788 * * [simplify]: Extracting #3: cost 4 inf + 1 10.788 * * [simplify]: Extracting #4: cost 0 inf + 127 10.789 * [simplify]: Simplified to (sqrt.p16 (+.p16 (real->posit16 1) x)) 10.789 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/.p16 (-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) 10.789 * * * [progress]: adding candidates to table 10.991 * [progress]: [Phase 3 of 3] Extracting. 10.991 * * [regime]: Finding splitpoints for: (#posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (real->posit16 1) (real->posit16 1)) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))>) 10.992 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.992 * * * * [regimes]: Trying to branch on x from (#posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x)))) (*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))> #posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (real->posit16 1) (real->posit16 1)) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))))>) 11.081 * * * [regime]: Found split indices: #