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 0.007 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.009 * * * * [points]: Setting MPFR precision to 64 0.012 * * * * [points]: Setting MPFR precision to 320 0.014 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.015 * * * * [points]: Setting MPFR precision to 64 0.019 * * * * [points]: Setting MPFR precision to 320 0.023 * * * * [points]: Computing exacts for 256 points 0.024 * * * * [points]: Setting MPFR precision to 64 0.035 * * * * [points]: Setting MPFR precision to 320 0.046 * * * * [points]: Filtering points with unrepresentable outputs 0.047 * * * * [points]: Sampled 256 points with exact outputs 0.047 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.055 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.055 * * [simplify]: iters left: 4 (7 enodes) 0.057 * * [simplify]: iters left: 3 (20 enodes) 0.061 * * [simplify]: iters left: 2 (32 enodes) 0.067 * * [simplify]: iters left: 1 (92 enodes) 0.099 * * [simplify]: Extracting #0: cost 1 inf + 0 0.099 * * [simplify]: Extracting #1: cost 13 inf + 0 0.099 * * [simplify]: Extracting #2: cost 67 inf + 0 0.099 * * [simplify]: Extracting #3: cost 111 inf + 723 0.100 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.103 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.107 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.112 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.112 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked #posit16 1))) (sqrt.p16 x)))> 0.128 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.216 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.217 * * * [progress]: simplifying candidates 0.217 * * * * [progress]: [ 1 / 4 ] simplifiying candidate #posit16 1))) (neg.p16 (sqrt.p16 x))))> 0.217 * * * * [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))))> 0.217 * * * * [progress]: [ 3 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.217 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.217 * * [simplify]: iters left: 4 (7 enodes) 0.219 * * [simplify]: iters left: 3 (20 enodes) 0.223 * * [simplify]: iters left: 2 (32 enodes) 0.228 * * [simplify]: iters left: 1 (92 enodes) 0.251 * * [simplify]: Extracting #0: cost 1 inf + 0 0.251 * * [simplify]: Extracting #1: cost 13 inf + 0 0.251 * * [simplify]: Extracting #2: cost 67 inf + 0 0.252 * * [simplify]: Extracting #3: cost 111 inf + 723 0.252 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.255 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.260 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.264 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.264 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.264 * * * * [progress]: [ 4 / 4 ] simplifiying candidate #posit16 1))) (sqrt.p16 x)))> 0.264 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.264 * * [simplify]: iters left: 4 (7 enodes) 0.266 * * [simplify]: iters left: 3 (20 enodes) 0.270 * * [simplify]: iters left: 2 (32 enodes) 0.276 * * [simplify]: iters left: 1 (92 enodes) 0.302 * * [simplify]: Extracting #0: cost 1 inf + 0 0.302 * * [simplify]: Extracting #1: cost 13 inf + 0 0.302 * * [simplify]: Extracting #2: cost 67 inf + 0 0.302 * * [simplify]: Extracting #3: cost 111 inf + 723 0.303 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.305 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.310 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.314 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.314 * [simplify]: Simplified (2) to (λ (x) (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x))) 0.315 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 2 / 4 0.376 * * * [progress]: picking best candidate 0.384 * * * * [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))))> 0.384 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.550 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.554 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.556 * * * [progress]: generating series expansions 0.556 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.556 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.556 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.556 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.556 * * * [progress]: simplifying candidates 0.556 * * * * [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))))> 0.557 * [simplify]: Simplifying (real->posit16 1) 0.557 * * [simplify]: iters left: 1 (2 enodes) 0.558 * * [simplify]: Extracting #0: cost 1 inf + 0 0.558 * * [simplify]: Extracting #1: cost 2 inf + 0 0.558 * * [simplify]: Extracting #2: cost 1 inf + 1 0.558 * * [simplify]: Extracting #3: cost 0 inf + 2 0.558 * [simplify]: Simplified to (real->posit16 1) 0.558 * [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)))) 0.558 * * * * [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))))> 0.558 * * * * [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))))> 0.558 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.558 * * [simplify]: iters left: 4 (7 enodes) 0.560 * * [simplify]: iters left: 3 (14 enodes) 0.562 * * [simplify]: iters left: 2 (16 enodes) 0.565 * * [simplify]: Extracting #0: cost 1 inf + 0 0.565 * * [simplify]: Extracting #1: cost 3 inf + 0 0.565 * * [simplify]: Extracting #2: cost 5 inf + 0 0.565 * * [simplify]: Extracting #3: cost 5 inf + 1 0.565 * * [simplify]: Extracting #4: cost 5 inf + 42 0.565 * * [simplify]: Extracting #5: cost 0 inf + 330 0.565 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.565 * [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)))) 0.565 * [simplify]: Simplifying (-.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.565 * * [simplify]: iters left: 4 (7 enodes) 0.567 * * [simplify]: iters left: 3 (20 enodes) 0.571 * * [simplify]: iters left: 2 (32 enodes) 0.576 * * [simplify]: iters left: 1 (92 enodes) 0.606 * * [simplify]: Extracting #0: cost 1 inf + 0 0.606 * * [simplify]: Extracting #1: cost 13 inf + 0 0.606 * * [simplify]: Extracting #2: cost 67 inf + 0 0.606 * * [simplify]: Extracting #3: cost 111 inf + 723 0.607 * * [simplify]: Extracting #4: cost 94 inf + 7692 0.610 * * [simplify]: Extracting #5: cost 25 inf + 47669 0.614 * * [simplify]: Extracting #6: cost 0 inf + 67124 0.619 * [simplify]: Simplified to (-.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.619 * [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)))) 0.619 * * * * [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))))> 0.619 * * * * [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))))> 0.619 * * * * [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)))))> 0.619 * [simplify]: Simplifying (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x)) 0.619 * * [simplify]: iters left: 4 (7 enodes) 0.621 * * [simplify]: iters left: 3 (14 enodes) 0.623 * * [simplify]: iters left: 2 (16 enodes) 0.625 * * [simplify]: Extracting #0: cost 1 inf + 0 0.625 * * [simplify]: Extracting #1: cost 3 inf + 0 0.625 * * [simplify]: Extracting #2: cost 5 inf + 0 0.626 * * [simplify]: Extracting #3: cost 5 inf + 1 0.626 * * [simplify]: Extracting #4: cost 5 inf + 42 0.626 * * [simplify]: Extracting #5: cost 0 inf + 330 0.626 * [simplify]: Simplified to (+.p16 (sqrt.p16 (+.p16 (real->posit16 1) x)) (sqrt.p16 x)) 0.626 * [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))))) 0.626 * * * * [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))))))> 0.626 * [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)))) 0.626 * * [simplify]: iters left: 6 (11 enodes) 0.629 * * [simplify]: iters left: 5 (36 enodes) 0.636 * * [simplify]: iters left: 4 (113 enodes) 0.682 * * [simplify]: Extracting #0: cost 1 inf + 0 0.682 * * [simplify]: Extracting #1: cost 47 inf + 0 0.683 * * [simplify]: Extracting #2: cost 86 inf + 0 0.683 * * [simplify]: Extracting #3: cost 135 inf + 444 0.685 * * [simplify]: Extracting #4: cost 135 inf + 19159 0.691 * * [simplify]: Extracting #5: cost 41 inf + 89813 0.703 * * [simplify]: Extracting #6: cost 4 inf + 126851 0.717 * * [simplify]: Extracting #7: cost 0 inf + 133619 0.730 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 0.0) (real->posit16 1)) (+.p16 (+.p16 x x) (real->posit16 1))) 0.730 * [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)))))) 0.730 * * * * [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))))> 0.730 * * * * [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))))> 0.730 * * * * [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))))> 0.730 * * * * [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))))> 0.730 * * * * [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))))> 0.730 * * * * [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))))> 0.730 * * * [progress]: adding candidates to table 1.165 * * [progress]: iteration 3 / 4 1.166 * * * [progress]: picking best candidate 1.215 * * * * [pick]: Picked #posit16 1)) (*.p16 (sqrt.p16 x) (sqrt.p16 x))) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.215 * * * [progress]: localizing error 1.412 * * * [progress]: generating rewritten candidates 1.412 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.425 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.445 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.449 * * * [progress]: generating series expansions 1.449 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.449 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.449 * * * [progress]: simplifying candidates 1.449 * * * * [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))))> 1.449 * * * * [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))))> 1.449 * * * * [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))))> 1.449 * * * * [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))))))> 1.449 * [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)))) 1.450 * * [simplify]: iters left: 4 (9 enodes) 1.455 * * [simplify]: iters left: 3 (36 enodes) 1.470 * * [simplify]: iters left: 2 (126 enodes) 1.538 * * [simplify]: Extracting #0: cost 1 inf + 0 1.538 * * [simplify]: Extracting #1: cost 46 inf + 0 1.539 * * [simplify]: Extracting #2: cost 96 inf + 0 1.539 * * [simplify]: Extracting #3: cost 146 inf + 1527 1.540 * * [simplify]: Extracting #4: cost 138 inf + 22563 1.544 * * [simplify]: Extracting #5: cost 35 inf + 106803 1.550 * * [simplify]: Extracting #6: cost 0 inf + 141195 1.557 * [simplify]: Simplified to (*.p16 (+.p16 (real->posit16 1) (+.p16 x x)) (+.p16 (real->posit16 0.0) (real->posit16 1))) 1.557 * [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)))))) 1.558 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.558 * * * * [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))))> 1.558 * * * * [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))))> 1.558 * [simplify]: Simplifying (real->posit16 1) 1.558 * * [simplify]: iters left: 1 (2 enodes) 1.560 * * [simplify]: Extracting #0: cost 1 inf + 0 1.560 * * [simplify]: Extracting #1: cost 2 inf + 0 1.560 * * [simplify]: Extracting #2: cost 1 inf + 1 1.560 * * [simplify]: Extracting #3: cost 0 inf + 2 1.560 * [simplify]: Simplified to (real->posit16 1) 1.560 * [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)))) 1.560 * * * * [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))))> 1.560 * [simplify]: Simplifying (real->posit16 1) 1.560 * * [simplify]: iters left: 1 (2 enodes) 1.562 * * [simplify]: Extracting #0: cost 1 inf + 0 1.562 * * [simplify]: Extracting #1: cost 2 inf + 0 1.562 * * [simplify]: Extracting #2: cost 1 inf + 1 1.562 * * [simplify]: Extracting #3: cost 0 inf + 2 1.562 * [simplify]: Simplified to (real->posit16 1) 1.562 * [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)))) 1.562 * * * * [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))))> 1.562 * [simplify]: Simplifying (real->posit16 1) 1.562 * * [simplify]: iters left: 1 (2 enodes) 1.564 * * [simplify]: Extracting #0: cost 1 inf + 0 1.564 * * [simplify]: Extracting #1: cost 2 inf + 0 1.564 * * [simplify]: Extracting #2: cost 1 inf + 1 1.564 * * [simplify]: Extracting #3: cost 0 inf + 2 1.564 * [simplify]: Simplified to (real->posit16 1) 1.564 * [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)))) 1.564 * * * * [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))))> 1.564 * [simplify]: Simplifying (real->posit16 1) 1.564 * * [simplify]: iters left: 1 (2 enodes) 1.565 * * [simplify]: Extracting #0: cost 1 inf + 0 1.565 * * [simplify]: Extracting #1: cost 2 inf + 0 1.565 * * [simplify]: Extracting #2: cost 1 inf + 1 1.566 * * [simplify]: Extracting #3: cost 0 inf + 2 1.566 * [simplify]: Simplified to (real->posit16 1) 1.566 * [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)))) 1.566 * * * [progress]: adding candidates to table 1.870 * * [progress]: iteration 4 / 4 1.870 * * * [progress]: picking best candidate 1.936 * * * * [pick]: Picked #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 1.936 * * * [progress]: localizing error 2.068 * * * [progress]: generating rewritten candidates 2.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.091 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.096 * * * [progress]: generating series expansions 2.096 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.096 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.096 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.096 * * * [progress]: simplifying candidates 2.096 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 1) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.097 * * * * [progress]: [ 2 / 9 ] simplifiying candidate #posit16 1)) (neg.p16 x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.097 * * * * [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))))> 2.097 * * * * [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))))> 2.097 * [simplify]: Simplifying (-.p16 (*.p16 (+.p16 x (real->posit16 1)) (+.p16 x (real->posit16 1))) (*.p16 x x)) 2.097 * * [simplify]: iters left: 4 (7 enodes) 2.101 * * [simplify]: iters left: 3 (29 enodes) 2.114 * * [simplify]: iters left: 2 (97 enodes) 2.169 * * [simplify]: iters left: 1 (418 enodes) 2.648 * * [simplify]: Extracting #0: cost 1 inf + 0 2.648 * * [simplify]: Extracting #1: cost 65 inf + 0 2.650 * * [simplify]: Extracting #2: cost 353 inf + 0 2.655 * * [simplify]: Extracting #3: cost 565 inf + 3780 2.667 * * [simplify]: Extracting #4: cost 388 inf + 259775 2.721 * * [simplify]: Extracting #5: cost 39 inf + 725306 2.783 * * [simplify]: Extracting #6: cost 3 inf + 783618 2.876 * * [simplify]: Extracting #7: cost 0 inf + 790944 2.941 * [simplify]: Simplified to (*.p16 (real->posit16 1) (+.p16 x (+.p16 (real->posit16 1) x))) 2.941 * [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)))) 2.942 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 x) (sqrt.p16 (+.p16 x (real->posit16 1))))))> 2.942 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.942 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.942 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.942 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 1)) x) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))> 2.942 * * * [progress]: adding candidates to table 3.118 * [progress]: [Phase 3 of 3] Extracting. 3.118 * * [regime]: Finding splitpoints for: (#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))) (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)))))> #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 (real->posit16 1))) (*.p16 x x)) (+.p16 (+.p16 x (real->posit16 1)) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))>) 3.119 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.119 * * * * [regimes]: Trying to branch on x from (#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))) (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)))))> #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 (real->posit16 1))) (*.p16 x x)) (+.p16 (+.p16 x (real->posit16 1)) x)) (+.p16 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))))>) 3.275 * * * [regime]: Found split indices: #