0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.003 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.003 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.007 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.010 * * * * [points]: Setting MPFR precision to 64 0.012 * * * * [points]: Setting MPFR precision to 320 0.014 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.017 * * * * [points]: Setting MPFR precision to 64 0.021 * * * * [points]: Setting MPFR precision to 320 0.024 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.027 * * * * [points]: Setting MPFR precision to 64 0.033 * * * * [points]: Setting MPFR precision to 320 0.039 * * * * [points]: Computing exacts for 256 points 0.041 * * * * [points]: Setting MPFR precision to 64 0.057 * * * * [points]: Setting MPFR precision to 320 0.077 * * * * [points]: Filtering points with unrepresentable outputs 0.078 * * * * [points]: Sampled 256 points with exact outputs 0.078 * * * [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)))> 0.093 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.093 * * [simplify]: iters left: 4 (7 enodes) 0.097 * * [simplify]: iters left: 3 (20 enodes) 0.105 * * [simplify]: iters left: 2 (32 enodes) 0.130 * * [simplify]: iters left: 1 (92 enodes) 0.178 * * [simplify]: Extracting #0: cost 1 inf + 0 0.178 * * [simplify]: Extracting #1: cost 13 inf + 0 0.178 * * [simplify]: Extracting #2: cost 67 inf + 0 0.179 * * [simplify]: Extracting #3: cost 111 inf + 723 0.180 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.185 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.191 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.195 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.195 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.204 * * [progress]: iteration 1 / 4 0.204 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked #posit16 1))) (sqrt.p16 x)))> 0.212 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.316 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.316 * * * [progress]: simplifying candidates 0.316 * * * * [progress]: [ 1 / 4 ] simplifiying candidate #posit16 1))) (neg.p16 (sqrt.p16 x))))> 0.316 * * * * [progress]: [ 2 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.316 * * * * [progress]: [ 3 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.316 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.316 * * [simplify]: iters left: 4 (7 enodes) 0.318 * * [simplify]: iters left: 3 (20 enodes) 0.322 * * [simplify]: iters left: 2 (32 enodes) 0.328 * * [simplify]: iters left: 1 (92 enodes) 0.350 * * [simplify]: Extracting #0: cost 1 inf + 0 0.350 * * [simplify]: Extracting #1: cost 13 inf + 0 0.350 * * [simplify]: Extracting #2: cost 67 inf + 0 0.350 * * [simplify]: Extracting #3: cost 111 inf + 723 0.351 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.354 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.358 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.366 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.366 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.366 * * * * [progress]: [ 4 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.366 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.367 * * [simplify]: iters left: 4 (7 enodes) 0.369 * * [simplify]: iters left: 3 (20 enodes) 0.372 * * [simplify]: iters left: 2 (32 enodes) 0.378 * * [simplify]: iters left: 1 (92 enodes) 0.401 * * [simplify]: Extracting #0: cost 1 inf + 0 0.401 * * [simplify]: Extracting #1: cost 13 inf + 0 0.401 * * [simplify]: Extracting #2: cost 67 inf + 0 0.401 * * [simplify]: Extracting #3: cost 111 inf + 723 0.402 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.404 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.409 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.413 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.413 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.413 * * * [progress]: adding candidates to table 0.474 * * [progress]: iteration 2 / 4 0.474 * * * [progress]: picking best candidate 0.482 * * * * [pick]: Picked #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.483 * * * [progress]: localizing error 0.684 * * * [progress]: generating rewritten candidates 0.684 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.686 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.689 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.694 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.696 * * * [progress]: generating series expansions 0.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.696 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.696 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.696 * * * [progress]: simplifying candidates 0.696 * * * * [progress]: [ 1 / 12 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.696 * [simplify]: Simplifying (real->posit16 1) 0.696 * * [simplify]: iters left: 1 (2 enodes) 0.697 * * [simplify]: Extracting #0: cost 1 inf + 0 0.698 * * [simplify]: Extracting #1: cost 2 inf + 0 0.698 * * [simplify]: Extracting #2: cost 1 inf + 1 0.698 * * [simplify]: Extracting #3: cost 0 inf + 2 0.698 * [simplify]: Simplified to (real->posit16 1) 0.698 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 0.698 * * * * [progress]: [ 2 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.698 * * * * [progress]: [ 3 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.698 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.698 * * [simplify]: iters left: 4 (7 enodes) 0.700 * * [simplify]: iters left: 3 (14 enodes) 0.702 * * [simplify]: iters left: 2 (16 enodes) 0.704 * * [simplify]: Extracting #0: cost 1 inf + 0 0.704 * * [simplify]: Extracting #1: cost 3 inf + 0 0.704 * * [simplify]: Extracting #2: cost 5 inf + 0 0.704 * * [simplify]: Extracting #3: cost 5 inf + 1 0.704 * * [simplify]: Extracting #4: cost 5 inf + 42 0.704 * * [simplify]: Extracting #5: cost 0 inf + 330 0.705 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.705 * [simplify]: Simplified (2 1 1) to (λ (x) (/.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 0.705 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.705 * * [simplify]: iters left: 4 (7 enodes) 0.706 * * [simplify]: iters left: 3 (20 enodes) 0.710 * * [simplify]: iters left: 2 (32 enodes) 0.716 * * [simplify]: iters left: 1 (92 enodes) 0.744 * * [simplify]: Extracting #0: cost 1 inf + 0 0.744 * * [simplify]: Extracting #1: cost 13 inf + 0 0.744 * * [simplify]: Extracting #2: cost 67 inf + 0 0.744 * * [simplify]: Extracting #3: cost 111 inf + 723 0.745 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.747 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.753 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.762 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.762 * [simplify]: Simplified (2 1 2) to (λ (x) (/.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 0.762 * * * * [progress]: [ 4 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (neg.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.762 * * * * [progress]: [ 5 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.762 * * * * [progress]: [ 6 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)) (/.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))))> 0.763 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.763 * * [simplify]: iters left: 4 (7 enodes) 0.766 * * [simplify]: iters left: 3 (14 enodes) 0.771 * * [simplify]: iters left: 2 (16 enodes) 0.775 * * [simplify]: Extracting #0: cost 1 inf + 0 0.775 * * [simplify]: Extracting #1: cost 3 inf + 0 0.775 * * [simplify]: Extracting #2: cost 5 inf + 0 0.775 * * [simplify]: Extracting #3: cost 5 inf + 1 0.775 * * [simplify]: Extracting #4: cost 5 inf + 42 0.776 * * [simplify]: Extracting #5: cost 0 inf + 330 0.776 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.776 * [simplify]: Simplified (2 1) to (λ (x) (/.p16 (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) (/.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))) 0.776 * * * * [progress]: [ 7 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))))> 0.777 * [simplify]: Simplifying (-.p16 (*.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) 0.777 * * [simplify]: iters left: 6 (11 enodes) 0.783 * * [simplify]: iters left: 5 (36 enodes) 0.797 * * [simplify]: iters left: 4 (113 enodes) 0.869 * * [simplify]: Extracting #0: cost 1 inf + 0 0.869 * * [simplify]: Extracting #1: cost 47 inf + 0 0.869 * * [simplify]: Extracting #2: cost 86 inf + 0 0.870 * * [simplify]: Extracting #3: cost 135 inf + 444 0.872 * * [simplify]: Extracting #4: cost 135 inf + 19159 0.875 * * [simplify]: Extracting #5: cost 41 inf + 89813 0.880 * * [simplify]: Extracting #6: cost 4 inf + 126851 0.887 * * [simplify]: Extracting #7: cost 0 inf + 133619 0.894 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 0.0) (real->posit16 1)) (+.p16 (+.p16 x x) (real->posit16 1))) 0.894 * [simplify]: Simplified (2 1) to (λ (x) (/.p16 (*.p16 (+.p16 (real->posit16 0.0) (real->posit16 1)) (+.p16 (+.p16 x x) (real->posit16 1))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))))) 0.894 * * * * [progress]: [ 8 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 x) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 0.894 * * * * [progress]: [ 9 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.894 * * * * [progress]: [ 10 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.894 * * * * [progress]: [ 11 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.894 * * * * [progress]: [ 12 / 12 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.894 * * * [progress]: adding candidates to table 1.185 * * [progress]: iteration 3 / 4 1.185 * * * [progress]: picking best candidate 1.244 * * * * [pick]: Picked #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.244 * * * [progress]: localizing error 1.516 * * * [progress]: generating rewritten candidates 1.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.540 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.560 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.565 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.569 * * * [progress]: generating series expansions 1.569 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.569 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.569 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.569 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.569 * * * [progress]: simplifying candidates 1.569 * * * * [progress]: [ 1 / 11 ] simplifiying candidate #posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.569 * * * * [progress]: [ 2 / 11 ] simplifiying candidate #posit16 1)) (neg.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.569 * * * * [progress]: [ 3 / 11 ] simplifiying candidate #posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.569 * * * * [progress]: [ 4 / 11 ] simplifiying candidate #posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))))> 1.569 * [simplify]: Simplifying (-.p16 (*.p16 (+.p16 x (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) 1.570 * * [simplify]: iters left: 4 (9 enodes) 1.576 * * [simplify]: iters left: 3 (36 enodes) 1.593 * * [simplify]: iters left: 2 (126 enodes) 1.653 * * [simplify]: Extracting #0: cost 1 inf + 0 1.653 * * [simplify]: Extracting #1: cost 46 inf + 0 1.653 * * [simplify]: Extracting #2: cost 96 inf + 0 1.654 * * [simplify]: Extracting #3: cost 146 inf + 1527 1.654 * * [simplify]: Extracting #4: cost 138 inf + 22563 1.658 * * [simplify]: Extracting #5: cost 35 inf + 106803 1.665 * * [simplify]: Extracting #6: cost 0 inf + 141195 1.676 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) 1.676 * [simplify]: Simplified (2 1) to (λ (x) (/.p16 (*.p16 (+.p16 (real->posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))))) 1.677 * * * * [progress]: [ 5 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 x) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 1.677 * * * * [progress]: [ 6 / 11 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.677 * * * * [progress]: [ 7 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.677 * * * * [progress]: [ 8 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.677 * [simplify]: Simplifying (real->posit16 1) 1.677 * * [simplify]: iters left: 1 (2 enodes) 1.679 * * [simplify]: Extracting #0: cost 1 inf + 0 1.679 * * [simplify]: Extracting #1: cost 2 inf + 0 1.679 * * [simplify]: Extracting #2: cost 1 inf + 1 1.679 * * [simplify]: Extracting #3: cost 0 inf + 2 1.679 * [simplify]: Simplified to (real->posit16 1) 1.679 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 1.679 * * * * [progress]: [ 9 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.679 * [simplify]: Simplifying (real->posit16 1) 1.679 * * [simplify]: iters left: 1 (2 enodes) 1.681 * * [simplify]: Extracting #0: cost 1 inf + 0 1.681 * * [simplify]: Extracting #1: cost 2 inf + 0 1.681 * * [simplify]: Extracting #2: cost 1 inf + 1 1.681 * * [simplify]: Extracting #3: cost 0 inf + 2 1.681 * [simplify]: Simplified to (real->posit16 1) 1.681 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 1.681 * * * * [progress]: [ 10 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.681 * [simplify]: Simplifying (real->posit16 1) 1.681 * * [simplify]: iters left: 1 (2 enodes) 1.683 * * [simplify]: Extracting #0: cost 1 inf + 0 1.683 * * [simplify]: Extracting #1: cost 2 inf + 0 1.683 * * [simplify]: Extracting #2: cost 1 inf + 1 1.683 * * [simplify]: Extracting #3: cost 0 inf + 2 1.683 * [simplify]: Simplified to (real->posit16 1) 1.683 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 1.683 * * * * [progress]: [ 11 / 11 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.683 * [simplify]: Simplifying (real->posit16 1) 1.683 * * [simplify]: iters left: 1 (2 enodes) 1.685 * * [simplify]: Extracting #0: cost 1 inf + 0 1.685 * * [simplify]: Extracting #1: cost 2 inf + 0 1.685 * * [simplify]: Extracting #2: cost 1 inf + 1 1.685 * * [simplify]: Extracting #3: cost 0 inf + 2 1.685 * [simplify]: Simplified to (real->posit16 1) 1.685 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/.p16 (-.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))) 1.685 * * * [progress]: adding candidates to table 2.024 * * [progress]: iteration 4 / 4 2.024 * * * [progress]: picking best candidate 2.126 * * * * [pick]: Picked #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.126 * * * [progress]: localizing error 2.332 * * * [progress]: generating rewritten candidates 2.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.360 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.364 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.365 * * * [progress]: generating series expansions 2.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.365 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.365 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.365 * * * [progress]: simplifying candidates 2.365 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.365 * * * * [progress]: [ 2 / 9 ] simplifiying candidate #posit16 1)) (neg.p16 x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.365 * * * * [progress]: [ 3 / 9 ] simplifiying candidate #posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 x x)) (+.p16 (+.p16 x (real->posit16 1)) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.365 * * * * [progress]: [ 4 / 9 ] simplifiying candidate #posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 x x)) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) x))))> 2.366 * [simplify]: Simplifying (-.p16 (*.p16 (+.p16 x (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 x x)) 2.366 * * [simplify]: iters left: 4 (7 enodes) 2.369 * * [simplify]: iters left: 3 (29 enodes) 2.381 * * [simplify]: iters left: 2 (97 enodes) 2.442 * * [simplify]: iters left: 1 (418 enodes) 2.923 * * [simplify]: Extracting #0: cost 1 inf + 0 2.924 * * [simplify]: Extracting #1: cost 65 inf + 0 2.926 * * [simplify]: Extracting #2: cost 353 inf + 0 2.930 * * [simplify]: Extracting #3: cost 565 inf + 3780 2.960 * * [simplify]: Extracting #4: cost 388 inf + 259775 3.032 * * [simplify]: Extracting #5: cost 39 inf + 725306 3.114 * * [simplify]: Extracting #6: cost 3 inf + 783618 3.160 * * [simplify]: Extracting #7: cost 0 inf + 790944 3.204 * [simplify]: Simplified to (*.p16 (real->posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) 3.204 * [simplify]: Simplified (2 1) to (λ (x) (/.p16 (*.p16 (real->posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) x)))) 3.204 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 x) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 3.204 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.204 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.204 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.204 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.204 * * * [progress]: adding candidates to table 3.361 * [progress]: [Phase 3 of 3] Extracting. 3.361 * * [regime]: Finding splitpoints for: (#posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))))> #posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) x))))> #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1))) (sqrt.p16 x)))> #posit16 1))) (sqrt.p16 x)) (/.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))))>) 3.362 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.362 * * * * [regimes]: Trying to branch on x from (#posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))))))> #posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) (*.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (+.p16 (+.p16 x (real->posit16 1)) x))))> #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1))))) (*.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (*.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> #posit16 1))) (sqrt.p16 x)))> #posit16 1))) (sqrt.p16 x)) (/.p16 (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)))))>) 3.503 * * * [regime]: Found split indices: #