0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.002 * * * * [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 0.006 * * * * [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 0.025 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.027 * * * * [points]: Setting MPFR precision to 64 0.032 * * * * [points]: Setting MPFR precision to 320 0.036 * * * * [points]: Computing exacts for 256 points 0.038 * * * * [points]: Setting MPFR precision to 64 0.048 * * * * [points]: Setting MPFR precision to 320 0.059 * * * * [points]: Filtering points with unrepresentable outputs 0.059 * * * * [points]: Sampled 256 points with exact outputs 0.059 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.068 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.068 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.068 * * [simplify]: iters left: 4 (7 enodes) 0.070 * * [simplify]: iters left: 3 (20 enodes) 0.074 * * [simplify]: iters left: 2 (32 enodes) 0.079 * * [simplify]: iters left: 1 (92 enodes) 0.113 * * [simplify]: Extracting #0: cost 1 inf + 0 0.113 * * [simplify]: Extracting #1: cost 13 inf + 0 0.113 * * [simplify]: Extracting #2: cost 67 inf + 0 0.113 * * [simplify]: Extracting #3: cost 111 inf + 723 0.114 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.116 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.120 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.125 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.125 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked #posit16 1))) (sqrt.p16 x)))> 0.146 * * * [progress]: localizing error 0.274 * * * [progress]: generating rewritten candidates 0.274 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.276 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.276 * * * [progress]: generating series expansions 0.276 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.276 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.276 * * * [progress]: simplifying candidates 0.276 * * * * [progress]: [ 1 / 4 ] simplifiying candidate #posit16 1))) (neg.p16 (sqrt.p16 x))))> 0.276 * * * * [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))))> 0.276 * * * * [progress]: [ 3 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.277 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.277 * * [simplify]: iters left: 4 (7 enodes) 0.279 * * [simplify]: iters left: 3 (20 enodes) 0.286 * * [simplify]: iters left: 2 (32 enodes) 0.294 * * [simplify]: iters left: 1 (92 enodes) 0.320 * * [simplify]: Extracting #0: cost 1 inf + 0 0.321 * * [simplify]: Extracting #1: cost 13 inf + 0 0.321 * * [simplify]: Extracting #2: cost 67 inf + 0 0.321 * * [simplify]: Extracting #3: cost 111 inf + 723 0.323 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.328 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.336 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.341 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.341 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.341 * * * * [progress]: [ 4 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.342 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.342 * * [simplify]: iters left: 4 (7 enodes) 0.343 * * [simplify]: iters left: 3 (20 enodes) 0.347 * * [simplify]: iters left: 2 (32 enodes) 0.352 * * [simplify]: iters left: 1 (92 enodes) 0.387 * * [simplify]: Extracting #0: cost 1 inf + 0 0.387 * * [simplify]: Extracting #1: cost 13 inf + 0 0.387 * * [simplify]: Extracting #2: cost 67 inf + 0 0.388 * * [simplify]: Extracting #3: cost 111 inf + 723 0.389 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.394 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.402 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.411 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.411 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.411 * * * [progress]: adding candidates to table 0.518 * * [progress]: iteration 2 / 4 0.518 * * * [progress]: picking best candidate 0.540 * * * * [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))))> 0.540 * * * [progress]: localizing error 0.791 * * * [progress]: generating rewritten candidates 0.791 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.793 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.800 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.802 * * * [progress]: generating series expansions 0.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.802 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.802 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.802 * * * [progress]: simplifying candidates 0.802 * * * * [progress]: [ 1 / 13 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 0.802 * [simplify]: Simplifying (real->posit16 1) 0.802 * * [simplify]: iters left: 1 (2 enodes) 0.804 * * [simplify]: Extracting #0: cost 1 inf + 0 0.804 * * [simplify]: Extracting #1: cost 2 inf + 0 0.804 * * [simplify]: Extracting #2: cost 1 inf + 1 0.804 * * [simplify]: Extracting #3: cost 0 inf + 2 0.804 * [simplify]: Simplified to (real->posit16 1) 0.804 * [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)))) 0.804 * * * * [progress]: [ 2 / 13 ] 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))))> 0.804 * * * * [progress]: [ 3 / 13 ] 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))))> 0.804 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.804 * * [simplify]: iters left: 4 (7 enodes) 0.806 * * [simplify]: iters left: 3 (14 enodes) 0.808 * * [simplify]: iters left: 2 (16 enodes) 0.811 * * [simplify]: Extracting #0: cost 1 inf + 0 0.811 * * [simplify]: Extracting #1: cost 3 inf + 0 0.811 * * [simplify]: Extracting #2: cost 5 inf + 0 0.811 * * [simplify]: Extracting #3: cost 5 inf + 1 0.811 * * [simplify]: Extracting #4: cost 5 inf + 42 0.811 * * [simplify]: Extracting #5: cost 0 inf + 330 0.811 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.811 * [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)))) 0.811 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.811 * * [simplify]: iters left: 4 (7 enodes) 0.813 * * [simplify]: iters left: 3 (20 enodes) 0.819 * * [simplify]: iters left: 2 (32 enodes) 0.830 * * [simplify]: iters left: 1 (92 enodes) 0.875 * * [simplify]: Extracting #0: cost 1 inf + 0 0.875 * * [simplify]: Extracting #1: cost 13 inf + 0 0.875 * * [simplify]: Extracting #2: cost 67 inf + 0 0.876 * * [simplify]: Extracting #3: cost 111 inf + 723 0.877 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.882 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.891 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.900 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.900 * [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)))) 0.900 * * * * [progress]: [ 4 / 13 ] 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))))> 0.900 * * * * [progress]: [ 5 / 13 ] 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))))> 0.900 * * * * [progress]: [ 6 / 13 ] 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)))))> 0.900 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.901 * * [simplify]: iters left: 4 (7 enodes) 0.904 * * [simplify]: iters left: 3 (14 enodes) 0.908 * * [simplify]: iters left: 2 (16 enodes) 0.913 * * [simplify]: Extracting #0: cost 1 inf + 0 0.913 * * [simplify]: Extracting #1: cost 3 inf + 0 0.913 * * [simplify]: Extracting #2: cost 5 inf + 0 0.913 * * [simplify]: Extracting #3: cost 5 inf + 1 0.913 * * [simplify]: Extracting #4: cost 5 inf + 42 0.913 * * [simplify]: Extracting #5: cost 0 inf + 330 0.914 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.914 * [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))))) 0.914 * * * * [progress]: [ 7 / 13 ] 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))))))> 0.914 * [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)))) 0.914 * * [simplify]: iters left: 6 (11 enodes) 0.919 * * [simplify]: iters left: 5 (36 enodes) 0.933 * * [simplify]: iters left: 4 (113 enodes) 0.995 * * [simplify]: Extracting #0: cost 1 inf + 0 0.995 * * [simplify]: Extracting #1: cost 47 inf + 0 0.995 * * [simplify]: Extracting #2: cost 86 inf + 0 0.995 * * [simplify]: Extracting #3: cost 135 inf + 444 0.996 * * [simplify]: Extracting #4: cost 135 inf + 19159 0.999 * * [simplify]: Extracting #5: cost 41 inf + 89813 1.005 * * [simplify]: Extracting #6: cost 4 inf + 126851 1.013 * * [simplify]: Extracting #7: cost 0 inf + 133619 1.026 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 0.0) (real->posit16 1)) (+.p16 (+.p16 x x) (real->posit16 1))) 1.026 * [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)))))) 1.026 * * * * [progress]: [ 8 / 13 ] simplifiying candidate #posit16 1))) (sqrt.p16 (+.p16 x (real->posit16 1)))) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.026 * * * * [progress]: [ 9 / 13 ] 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))))> 1.026 * * * * [progress]: [ 10 / 13 ] 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))))> 1.027 * * * * [progress]: [ 11 / 13 ] 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))))> 1.027 * * * * [progress]: [ 12 / 13 ] 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))))> 1.027 * * * * [progress]: [ 13 / 13 ] 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))))> 1.027 * * * [progress]: adding candidates to table 1.342 * * [progress]: iteration 3 / 4 1.343 * * * [progress]: picking best candidate 1.429 * * * * [pick]: Picked #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.429 * * * [progress]: localizing error 1.600 * * * [progress]: generating rewritten candidates 1.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.606 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.615 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.617 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.617 * * * [progress]: generating series expansions 1.617 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.617 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.617 * * * [progress]: simplifying candidates 1.617 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 1) (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.617 * * * * [progress]: [ 2 / 10 ] simplifiying candidate #posit16 1)) (neg.p16 (*.p16 (sqrt.p16 x) (sqrt.p16 x)))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.617 * * * * [progress]: [ 3 / 10 ] 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))))> 1.617 * * * * [progress]: [ 4 / 10 ] 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))))))> 1.617 * [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)))) 1.618 * * [simplify]: iters left: 4 (9 enodes) 1.620 * * [simplify]: iters left: 3 (36 enodes) 1.630 * * [simplify]: iters left: 2 (126 enodes) 1.683 * * [simplify]: Extracting #0: cost 1 inf + 0 1.683 * * [simplify]: Extracting #1: cost 46 inf + 0 1.684 * * [simplify]: Extracting #2: cost 96 inf + 0 1.684 * * [simplify]: Extracting #3: cost 146 inf + 1527 1.686 * * [simplify]: Extracting #4: cost 138 inf + 22563 1.694 * * [simplify]: Extracting #5: cost 35 inf + 106803 1.706 * * [simplify]: Extracting #6: cost 0 inf + 141195 1.720 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) 1.720 * [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)))))) 1.720 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.720 * * * * [progress]: [ 6 / 10 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.720 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.720 * [simplify]: Simplifying (real->posit16 1) 1.720 * * [simplify]: iters left: 1 (2 enodes) 1.722 * * [simplify]: Extracting #0: cost 1 inf + 0 1.722 * * [simplify]: Extracting #1: cost 2 inf + 0 1.722 * * [simplify]: Extracting #2: cost 1 inf + 1 1.722 * * [simplify]: Extracting #3: cost 0 inf + 2 1.722 * [simplify]: Simplified to (real->posit16 1) 1.722 * [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)))) 1.722 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.722 * [simplify]: Simplifying (real->posit16 1) 1.722 * * [simplify]: iters left: 1 (2 enodes) 1.723 * * [simplify]: Extracting #0: cost 1 inf + 0 1.724 * * [simplify]: Extracting #1: cost 2 inf + 0 1.724 * * [simplify]: Extracting #2: cost 1 inf + 1 1.724 * * [simplify]: Extracting #3: cost 0 inf + 2 1.724 * [simplify]: Simplified to (real->posit16 1) 1.724 * [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)))) 1.724 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.724 * [simplify]: Simplifying (real->posit16 1) 1.724 * * [simplify]: iters left: 1 (2 enodes) 1.725 * * [simplify]: Extracting #0: cost 1 inf + 0 1.725 * * [simplify]: Extracting #1: cost 2 inf + 0 1.725 * * [simplify]: Extracting #2: cost 1 inf + 1 1.725 * * [simplify]: Extracting #3: cost 0 inf + 2 1.725 * [simplify]: Simplified to (real->posit16 1) 1.725 * [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)))) 1.725 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.726 * [simplify]: Simplifying (real->posit16 1) 1.726 * * [simplify]: iters left: 1 (2 enodes) 1.727 * * [simplify]: Extracting #0: cost 1 inf + 0 1.727 * * [simplify]: Extracting #1: cost 2 inf + 0 1.727 * * [simplify]: Extracting #2: cost 1 inf + 1 1.727 * * [simplify]: Extracting #3: cost 0 inf + 2 1.727 * [simplify]: Simplified to (real->posit16 1) 1.727 * [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)))) 1.727 * * * [progress]: adding candidates to table 2.094 * * [progress]: iteration 4 / 4 2.094 * * * [progress]: picking best candidate 2.191 * * * * [pick]: Picked #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.191 * * * [progress]: localizing error 2.430 * * * [progress]: generating rewritten candidates 2.431 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.848 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.869 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.874 * * * [progress]: generating series expansions 2.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.875 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.875 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.875 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.875 * * * [progress]: simplifying candidates 2.875 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.875 * * * * [progress]: [ 2 / 9 ] simplifiying candidate #posit16 1)) (neg.p16 x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.875 * * * * [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))))> 2.875 * * * * [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))))> 2.875 * [simplify]: Simplifying (-.p16 (*.p16 (+.p16 x (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 x x)) 2.875 * * [simplify]: iters left: 4 (7 enodes) 2.880 * * [simplify]: iters left: 3 (29 enodes) 2.893 * * [simplify]: iters left: 2 (97 enodes) 2.938 * * [simplify]: iters left: 1 (418 enodes) 3.411 * * [simplify]: Extracting #0: cost 1 inf + 0 3.411 * * [simplify]: Extracting #1: cost 65 inf + 0 3.412 * * [simplify]: Extracting #2: cost 353 inf + 0 3.414 * * [simplify]: Extracting #3: cost 565 inf + 3780 3.425 * * [simplify]: Extracting #4: cost 388 inf + 259775 3.464 * * [simplify]: Extracting #5: cost 39 inf + 725306 3.528 * * [simplify]: Extracting #6: cost 3 inf + 783618 3.589 * * [simplify]: Extracting #7: cost 0 inf + 790944 3.652 * [simplify]: Simplified to (*.p16 (real->posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) 3.652 * [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)))) 3.652 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 x) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 3.652 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.652 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.652 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.652 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 3.652 * * * [progress]: adding candidates to table 3.813 * [progress]: [Phase 3 of 3] Extracting. 3.813 * * [regime]: Finding splitpoints for: (#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))))> #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (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 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)))))>) 3.814 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.814 * * * * [regimes]: Trying to branch on x from (#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))))> #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (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 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)))))>) 3.949 * * * [regime]: Found split indices: #