0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.007 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.010 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.120 * * * * [points]: Setting MPFR precision to 64 0.156 * * * * [points]: Setting MPFR precision to 320 0.160 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.168 * * * * [points]: Setting MPFR precision to 64 0.173 * * * * [points]: Setting MPFR precision to 320 0.179 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.186 * * * * [points]: Setting MPFR precision to 64 0.193 * * * * [points]: Setting MPFR precision to 320 0.200 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.236 * * * * [points]: Setting MPFR precision to 64 0.245 * * * * [points]: Setting MPFR precision to 320 0.254 * * * * [points]: Computing exacts for 256 points 0.258 * * * * [points]: Setting MPFR precision to 64 0.330 * * * * [points]: Setting MPFR precision to 320 0.361 * * * * [points]: Filtering points with unrepresentable outputs 0.363 * * * * [points]: Sampled 256 points with exact outputs 0.363 * * * [progress]: [2/2] Setting up program. 0.447 * [progress]: [Phase 2 of 3] Improving. 0.447 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 0.449 * [simplify]: Simplifying (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)) 0.451 * * [simplify]: iters left: 6 (16 enodes) 0.464 * * [simplify]: iters left: 5 (45 enodes) 0.518 * * [simplify]: iters left: 4 (91 enodes) 0.725 * * [simplify]: iters left: 3 (310 enodes) 1.041 * * [simplify]: Extracting #0: cost 1 inf + 0 1.042 * * [simplify]: Extracting #1: cost 31 inf + 0 1.043 * * [simplify]: Extracting #2: cost 123 inf + 1 1.044 * * [simplify]: Extracting #3: cost 201 inf + 1129 1.047 * * [simplify]: Extracting #4: cost 263 inf + 9871 1.054 * * [simplify]: Extracting #5: cost 270 inf + 82040 1.084 * * [simplify]: Extracting #6: cost 192 inf + 363234 1.118 * * [simplify]: Extracting #7: cost 15 inf + 679901 1.162 * * [simplify]: Extracting #8: cost 0 inf + 712557 1.233 * [simplify]: Simplified to (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a)) 1.234 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a))) 1.274 * * [progress]: iteration 1 / 4 1.275 * * * [progress]: picking best candidate 1.311 * * * * [pick]: Picked #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 1.312 * * * [progress]: localizing error 1.560 * * * [progress]: generating rewritten candidates 1.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.563 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.564 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.567 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 1.572 * * * [progress]: generating series expansions 1.572 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.572 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.572 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.572 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 1.572 * * * [progress]: simplifying candidates 1.572 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c)))))) (*.p16 (real->posit16 2) a)))> 1.573 * * * * [progress]: [ 2 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) (*.p16 (real->posit16 2) a)))> 1.573 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 1.573 * * * * [progress]: [ 4 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 1.573 * [simplify]: Simplifying (-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) 1.573 * * [simplify]: iters left: 6 (14 enodes) 1.579 * * [simplify]: iters left: 5 (42 enodes) 1.587 * * [simplify]: iters left: 4 (117 enodes) 1.637 * * [simplify]: iters left: 3 (426 enodes) 1.877 * * [simplify]: Extracting #0: cost 1 inf + 0 1.877 * * [simplify]: Extracting #1: cost 51 inf + 0 1.878 * * [simplify]: Extracting #2: cost 242 inf + 0 1.880 * * [simplify]: Extracting #3: cost 408 inf + 4895 1.896 * * [simplify]: Extracting #4: cost 386 inf + 288425 1.971 * * [simplify]: Extracting #5: cost 133 inf + 992840 2.039 * * [simplify]: Extracting #6: cost 2 inf + 1243260 2.123 * * [simplify]: Extracting #7: cost 0 inf + 1250148 2.241 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) 2.241 * [simplify]: Simplified (2 1) to (λ (a b c) (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))) 2.241 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 2.241 * * * * [progress]: [ 6 / 10 ] simplifiying candidate #posit16 4))))) (*.p16 (real->posit16 2) a)))> 2.241 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.242 * [simplify]: Simplifying (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)) 2.242 * * [simplify]: iters left: 6 (16 enodes) 2.250 * * [simplify]: iters left: 5 (45 enodes) 2.267 * * [simplify]: iters left: 4 (91 enodes) 2.286 * * [simplify]: iters left: 3 (310 enodes) 2.418 * * [simplify]: Extracting #0: cost 1 inf + 0 2.418 * * [simplify]: Extracting #1: cost 31 inf + 0 2.418 * * [simplify]: Extracting #2: cost 123 inf + 1 2.419 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.420 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.426 * * [simplify]: Extracting #5: cost 270 inf + 82040 2.456 * * [simplify]: Extracting #6: cost 192 inf + 363234 2.511 * * [simplify]: Extracting #7: cost 15 inf + 679901 2.577 * * [simplify]: Extracting #8: cost 0 inf + 712557 2.640 * [simplify]: Simplified to (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a)) 2.640 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a))) 2.640 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.640 * [simplify]: Simplifying (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)) 2.641 * * [simplify]: iters left: 6 (16 enodes) 2.648 * * [simplify]: iters left: 5 (45 enodes) 2.664 * * [simplify]: iters left: 4 (91 enodes) 2.703 * * [simplify]: iters left: 3 (310 enodes) 2.874 * * [simplify]: Extracting #0: cost 1 inf + 0 2.874 * * [simplify]: Extracting #1: cost 31 inf + 0 2.875 * * [simplify]: Extracting #2: cost 123 inf + 1 2.876 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.877 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.880 * * [simplify]: Extracting #5: cost 270 inf + 82040 2.895 * * [simplify]: Extracting #6: cost 192 inf + 363234 2.936 * * [simplify]: Extracting #7: cost 15 inf + 679901 2.990 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.026 * [simplify]: Simplified to (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a)) 3.026 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a))) 3.026 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 3.027 * [simplify]: Simplifying (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)) 3.027 * * [simplify]: iters left: 6 (16 enodes) 3.031 * * [simplify]: iters left: 5 (45 enodes) 3.039 * * [simplify]: iters left: 4 (91 enodes) 3.059 * * [simplify]: iters left: 3 (310 enodes) 3.223 * * [simplify]: Extracting #0: cost 1 inf + 0 3.223 * * [simplify]: Extracting #1: cost 31 inf + 0 3.223 * * [simplify]: Extracting #2: cost 123 inf + 1 3.225 * * [simplify]: Extracting #3: cost 201 inf + 1129 3.227 * * [simplify]: Extracting #4: cost 263 inf + 9871 3.233 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.252 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.295 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.355 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.417 * [simplify]: Simplified to (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a)) 3.417 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a))) 3.417 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 3.418 * [simplify]: Simplifying (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)) 3.418 * * [simplify]: iters left: 6 (16 enodes) 3.425 * * [simplify]: iters left: 5 (45 enodes) 3.437 * * [simplify]: iters left: 4 (91 enodes) 3.456 * * [simplify]: iters left: 3 (310 enodes) 3.640 * * [simplify]: Extracting #0: cost 1 inf + 0 3.641 * * [simplify]: Extracting #1: cost 31 inf + 0 3.641 * * [simplify]: Extracting #2: cost 123 inf + 1 3.642 * * [simplify]: Extracting #3: cost 201 inf + 1129 3.644 * * [simplify]: Extracting #4: cost 263 inf + 9871 3.650 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.679 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.723 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.755 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.814 * [simplify]: Simplified to (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a)) 3.814 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 (real->posit16 2) a))) 3.814 * * * [progress]: adding candidates to table 4.395 * * [progress]: iteration 2 / 4 4.395 * * * [progress]: picking best candidate 4.471 * * * * [pick]: Picked #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 4.471 * * * [progress]: localizing error 4.680 * * * [progress]: generating rewritten candidates 4.680 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 4.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 4.682 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 4.686 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.689 * * * [progress]: generating series expansions 4.689 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 4.689 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 4.689 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 4.690 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.690 * * * [progress]: simplifying candidates 4.690 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c)))))) (real->posit16 2)) a))> 4.690 * * * * [progress]: [ 2 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))) (real->posit16 2)) a))> 4.690 * * * * [progress]: [ 3 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 4.690 * * * * [progress]: [ 4 / 9 ] simplifiying candidate #posit16 4))))) (real->posit16 2)) a))> 4.690 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 a (real->posit16 2))))> 4.690 * [simplify]: Simplifying (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) 4.690 * * [simplify]: iters left: 5 (12 enodes) 4.693 * * [simplify]: iters left: 4 (37 enodes) 4.700 * * [simplify]: iters left: 3 (79 enodes) 4.717 * * [simplify]: iters left: 2 (262 enodes) 4.855 * * [simplify]: Extracting #0: cost 1 inf + 0 4.855 * * [simplify]: Extracting #1: cost 17 inf + 0 4.855 * * [simplify]: Extracting #2: cost 88 inf + 1 4.855 * * [simplify]: Extracting #3: cost 166 inf + 804 4.856 * * [simplify]: Extracting #4: cost 230 inf + 3734 4.859 * * [simplify]: Extracting #5: cost 225 inf + 64494 4.881 * * [simplify]: Extracting #6: cost 137 inf + 332479 4.927 * * [simplify]: Extracting #7: cost 1 inf + 596662 4.977 * * [simplify]: Extracting #8: cost 0 inf + 599226 5.027 * [simplify]: Simplified to (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) 5.027 * [simplify]: Simplified (2 1) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 a (real->posit16 2)))) 5.027 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 5.027 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 5.027 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 5.027 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 5.027 * * * [progress]: adding candidates to table 5.344 * * [progress]: iteration 3 / 4 5.344 * * * [progress]: picking best candidate 5.397 * * * * [pick]: Picked #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 5.398 * * * [progress]: localizing error 5.592 * * * [progress]: generating rewritten candidates 5.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.593 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.594 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.597 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.601 * * * [progress]: generating series expansions 5.601 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.601 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.601 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.601 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.601 * * * [progress]: simplifying candidates 5.601 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 5.601 * * * * [progress]: [ 2 / 10 ] simplifiying candidate #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 5.601 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 5.601 * * * * [progress]: [ 4 / 10 ] simplifiying candidate #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> 5.601 * [simplify]: Simplifying (-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) 5.602 * * [simplify]: iters left: 6 (14 enodes) 5.605 * * [simplify]: iters left: 5 (42 enodes) 5.613 * * [simplify]: iters left: 4 (117 enodes) 5.645 * * [simplify]: iters left: 3 (432 enodes) 5.835 * * [simplify]: Extracting #0: cost 1 inf + 0 5.835 * * [simplify]: Extracting #1: cost 51 inf + 0 5.836 * * [simplify]: Extracting #2: cost 242 inf + 0 5.837 * * [simplify]: Extracting #3: cost 412 inf + 3092 5.850 * * [simplify]: Extracting #4: cost 427 inf + 239293 5.900 * * [simplify]: Extracting #5: cost 159 inf + 940878 5.974 * * [simplify]: Extracting #6: cost 1 inf + 1259592 6.039 * * [simplify]: Extracting #7: cost 0 inf + 1262236 6.135 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 c (*.p16 a (real->posit16 4)))) 6.135 * [simplify]: Simplified (2 1) to (λ (a b c) (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 c (*.p16 a (real->posit16 4)))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))))) 6.135 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 6.135 * * * * [progress]: [ 6 / 10 ] simplifiying candidate #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 6.135 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 6.135 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 6.135 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 6.135 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 6.135 * * * [progress]: adding candidates to table 6.904 * * [progress]: iteration 4 / 4 6.904 * * * [progress]: picking best candidate 7.022 * * * * [pick]: Picked #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 7.022 * * * [progress]: localizing error 7.411 * * * [progress]: generating rewritten candidates 7.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.416 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.424 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 7.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) 7.432 * * * [progress]: generating series expansions 7.432 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.432 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.433 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 7.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 2) 7.433 * * * [progress]: simplifying candidates 7.433 * * * * [progress]: [ 1 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))) (neg.p16 b)))))> 7.433 * * * * [progress]: [ 2 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))> 7.433 * [simplify]: Simplifying (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) 7.433 * * [simplify]: iters left: 5 (12 enodes) 7.439 * * [simplify]: iters left: 4 (31 enodes) 7.449 * * [simplify]: iters left: 3 (64 enodes) 7.475 * * [simplify]: iters left: 2 (183 enodes) 7.588 * * [simplify]: Extracting #0: cost 1 inf + 0 7.588 * * [simplify]: Extracting #1: cost 6 inf + 0 7.588 * * [simplify]: Extracting #2: cost 10 inf + 1 7.588 * * [simplify]: Extracting #3: cost 22 inf + 804 7.588 * * [simplify]: Extracting #4: cost 64 inf + 1445 7.588 * * [simplify]: Extracting #5: cost 132 inf + 3371 7.590 * * [simplify]: Extracting #6: cost 212 inf + 14038 7.594 * * [simplify]: Extracting #7: cost 133 inf + 122101 7.608 * * [simplify]: Extracting #8: cost 13 inf + 330931 7.633 * * [simplify]: Extracting #9: cost 0 inf + 360062 7.659 * [simplify]: Simplified to (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) 7.659 * [simplify]: Simplified (2 2) to (λ (a b c) (/.p16 (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b))) 7.659 * * * * [progress]: [ 3 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> 7.659 * * * * [progress]: [ 4 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 a c) (real->posit16 4))))))))> 7.659 * * * * [progress]: [ 5 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 7.659 * [simplify]: Simplifying (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))) 7.659 * * [simplify]: iters left: 6 (21 enodes) 7.665 * * [simplify]: iters left: 5 (61 enodes) 7.677 * * [simplify]: iters left: 4 (154 enodes) 7.720 * * [simplify]: iters left: 3 (373 enodes) 7.910 * * [simplify]: Extracting #0: cost 1 inf + 0 7.910 * * [simplify]: Extracting #1: cost 7 inf + 0 7.910 * * [simplify]: Extracting #2: cost 59 inf + 0 7.911 * * [simplify]: Extracting #3: cost 119 inf + 83 7.912 * * [simplify]: Extracting #4: cost 137 inf + 11032 7.916 * * [simplify]: Extracting #5: cost 183 inf + 27270 7.924 * * [simplify]: Extracting #6: cost 223 inf + 84764 7.948 * * [simplify]: Extracting #7: cost 60 inf + 347389 7.969 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.002 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.040 * [simplify]: Simplified to (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))) 8.041 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a)))) 8.041 * * * * [progress]: [ 6 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 8.041 * [simplify]: Simplifying (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))) 8.041 * * [simplify]: iters left: 6 (21 enodes) 8.051 * * [simplify]: iters left: 5 (61 enodes) 8.076 * * [simplify]: iters left: 4 (154 enodes) 8.141 * * [simplify]: iters left: 3 (373 enodes) 8.300 * * [simplify]: Extracting #0: cost 1 inf + 0 8.300 * * [simplify]: Extracting #1: cost 7 inf + 0 8.300 * * [simplify]: Extracting #2: cost 59 inf + 0 8.301 * * [simplify]: Extracting #3: cost 119 inf + 83 8.301 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.303 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.307 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.325 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.361 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.397 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.417 * [simplify]: Simplified to (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))) 8.417 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a)))) 8.417 * * * * [progress]: [ 7 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 8.417 * [simplify]: Simplifying (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))) 8.417 * * [simplify]: iters left: 6 (21 enodes) 8.422 * * [simplify]: iters left: 5 (61 enodes) 8.440 * * [simplify]: iters left: 4 (154 enodes) 8.507 * * [simplify]: iters left: 3 (373 enodes) 8.695 * * [simplify]: Extracting #0: cost 1 inf + 0 8.695 * * [simplify]: Extracting #1: cost 7 inf + 0 8.695 * * [simplify]: Extracting #2: cost 59 inf + 0 8.696 * * [simplify]: Extracting #3: cost 119 inf + 83 8.698 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.701 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.710 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.735 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.776 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.811 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.831 * [simplify]: Simplified to (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))) 8.831 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a)))) 8.831 * * * * [progress]: [ 8 / 8 ] simplifiying candidate #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> 8.831 * [simplify]: Simplifying (/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))) 8.831 * * [simplify]: iters left: 6 (21 enodes) 8.836 * * [simplify]: iters left: 5 (61 enodes) 8.848 * * [simplify]: iters left: 4 (154 enodes) 8.897 * * [simplify]: iters left: 3 (373 enodes) 9.107 * * [simplify]: Extracting #0: cost 1 inf + 0 9.107 * * [simplify]: Extracting #1: cost 7 inf + 0 9.107 * * [simplify]: Extracting #2: cost 59 inf + 0 9.108 * * [simplify]: Extracting #3: cost 119 inf + 83 9.110 * * [simplify]: Extracting #4: cost 137 inf + 11032 9.113 * * [simplify]: Extracting #5: cost 183 inf + 27270 9.121 * * [simplify]: Extracting #6: cost 223 inf + 84764 9.147 * * [simplify]: Extracting #7: cost 60 inf + 347389 9.189 * * [simplify]: Extracting #8: cost 1 inf + 460459 9.230 * * [simplify]: Extracting #9: cost 0 inf + 461583 9.269 * [simplify]: Simplified to (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))) 9.269 * [simplify]: Simplified (2) to (λ (a b c) (/.p16 (+.p16 (*.p16 (real->posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a)))) 9.269 * * * [progress]: adding candidates to table 9.812 * [progress]: [Phase 3 of 3] Extracting. 9.812 * * [regime]: Finding splitpoints for: (#posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> #posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))> #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))))> #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))>) 9.819 * * * [regime-changes]: Trying 3 branch expressions: (c a b) 9.819 * * * * [regimes]: Trying to branch on c from (#posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> #posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))> #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))))> #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))>) 10.127 * * * * [regimes]: Trying to branch on a from (#posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> #posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))> #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))))> #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))>) 10.397 * * * * [regimes]: Trying to branch on b from (#posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> #posit16 4) (*.p16 a c))) (*.p16 (real->posit16 2) a)) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))> #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> #posit16 4) (*.p16 c a)) (real->posit16 0.0)) (*.p16 (real->posit16 2) (*.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 c a)))) b) a))))> #posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))))> #posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))>) 10.642 * * * [regime]: Found split indices: #