0.003 * [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 0.071 * * * * [points]: Setting MPFR precision to 64 0.075 * * * * [points]: Setting MPFR precision to 320 0.077 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.084 * * * * [points]: Setting MPFR precision to 64 0.087 * * * * [points]: Setting MPFR precision to 320 0.091 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.096 * * * * [points]: Setting MPFR precision to 64 0.102 * * * * [points]: Setting MPFR precision to 320 0.108 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.113 * * * * [points]: Setting MPFR precision to 64 0.124 * * * * [points]: Setting MPFR precision to 320 0.132 * * * * [points]: Computing exacts for 256 points 0.135 * * * * [points]: Setting MPFR precision to 64 0.182 * * * * [points]: Setting MPFR precision to 320 0.214 * * * * [points]: Filtering points with unrepresentable outputs 0.215 * * * * [points]: Sampled 256 points with exact outputs 0.216 * * * [progress]: [2/2] Setting up program. 0.251 * [progress]: [Phase 2 of 3] Improving. 0.251 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 0.253 * [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)) 0.254 * * [simplify]: iters left: 6 (16 enodes) 0.267 * * [simplify]: iters left: 5 (45 enodes) 0.283 * * [simplify]: iters left: 4 (91 enodes) 0.320 * * [simplify]: iters left: 3 (310 enodes) 0.474 * * [simplify]: Extracting #0: cost 1 inf + 0 0.474 * * [simplify]: Extracting #1: cost 31 inf + 0 0.475 * * [simplify]: Extracting #2: cost 123 inf + 1 0.477 * * [simplify]: Extracting #3: cost 201 inf + 1129 0.479 * * [simplify]: Extracting #4: cost 263 inf + 9871 0.485 * * [simplify]: Extracting #5: cost 270 inf + 82040 0.514 * * [simplify]: Extracting #6: cost 192 inf + 363234 0.555 * * [simplify]: Extracting #7: cost 15 inf + 679901 0.613 * * [simplify]: Extracting #8: cost 0 inf + 712557 0.675 * [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)) 0.675 * [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))) 0.708 * * [progress]: iteration 1 / 4 0.708 * * * [progress]: picking best candidate 0.746 * * * * [pick]: Picked #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 0.746 * * * [progress]: localizing error 1.053 * * * [progress]: generating rewritten candidates 1.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.058 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.059 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 1.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.074 * * * [progress]: generating series expansions 1.075 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.075 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.075 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 1.075 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.075 * * * [progress]: simplifying candidates 1.075 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c)))))) (*.p16 (real->posit16 2) a)))> 1.075 * * * * [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)))> 1.076 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 1.076 * * * * [progress]: [ 4 / 10 ] simplifiying candidate #posit16 4))))) (*.p16 (real->posit16 2) a)))> 1.076 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 1.076 * * * * [progress]: [ 6 / 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))))))))> 1.076 * [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)))))) 1.076 * * [simplify]: iters left: 6 (14 enodes) 1.083 * * [simplify]: iters left: 5 (42 enodes) 1.099 * * [simplify]: iters left: 4 (117 enodes) 1.166 * * [simplify]: iters left: 3 (426 enodes) 1.402 * * [simplify]: Extracting #0: cost 1 inf + 0 1.402 * * [simplify]: Extracting #1: cost 51 inf + 0 1.403 * * [simplify]: Extracting #2: cost 242 inf + 0 1.405 * * [simplify]: Extracting #3: cost 408 inf + 4895 1.427 * * [simplify]: Extracting #4: cost 386 inf + 288425 1.516 * * [simplify]: Extracting #5: cost 133 inf + 992840 1.592 * * [simplify]: Extracting #6: cost 2 inf + 1243260 1.712 * * [simplify]: Extracting #7: cost 0 inf + 1250148 1.828 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) 1.828 * [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)))))))) 1.828 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 1.829 * [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)) 1.829 * * [simplify]: iters left: 6 (16 enodes) 1.837 * * [simplify]: iters left: 5 (45 enodes) 1.853 * * [simplify]: iters left: 4 (91 enodes) 1.891 * * [simplify]: iters left: 3 (310 enodes) 2.010 * * [simplify]: Extracting #0: cost 1 inf + 0 2.010 * * [simplify]: Extracting #1: cost 31 inf + 0 2.011 * * [simplify]: Extracting #2: cost 123 inf + 1 2.012 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.014 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.020 * * [simplify]: Extracting #5: cost 270 inf + 82040 2.050 * * [simplify]: Extracting #6: cost 192 inf + 363234 2.088 * * [simplify]: Extracting #7: cost 15 inf + 679901 2.134 * * [simplify]: Extracting #8: cost 0 inf + 712557 2.185 * [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)) 2.185 * [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))) 2.185 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.185 * [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)) 2.185 * * [simplify]: iters left: 6 (16 enodes) 2.189 * * [simplify]: iters left: 5 (45 enodes) 2.199 * * [simplify]: iters left: 4 (91 enodes) 2.218 * * [simplify]: iters left: 3 (310 enodes) 2.348 * * [simplify]: Extracting #0: cost 1 inf + 0 2.348 * * [simplify]: Extracting #1: cost 31 inf + 0 2.348 * * [simplify]: Extracting #2: cost 123 inf + 1 2.349 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.350 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.357 * * [simplify]: Extracting #5: cost 270 inf + 82040 2.372 * * [simplify]: Extracting #6: cost 192 inf + 363234 2.402 * * [simplify]: Extracting #7: cost 15 inf + 679901 2.437 * * [simplify]: Extracting #8: cost 0 inf + 712557 2.470 * [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)) 2.470 * [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))) 2.470 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.470 * [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)) 2.470 * * [simplify]: iters left: 6 (16 enodes) 2.474 * * [simplify]: iters left: 5 (45 enodes) 2.482 * * [simplify]: iters left: 4 (91 enodes) 2.502 * * [simplify]: iters left: 3 (310 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 31 inf + 0 2.622 * * [simplify]: Extracting #2: cost 123 inf + 1 2.623 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.624 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.627 * * [simplify]: Extracting #5: cost 270 inf + 82040 2.642 * * [simplify]: Extracting #6: cost 192 inf + 363234 2.683 * * [simplify]: Extracting #7: cost 15 inf + 679901 2.719 * * [simplify]: Extracting #8: cost 0 inf + 712557 2.774 * [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)) 2.774 * [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))) 2.774 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.774 * [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)) 2.775 * * [simplify]: iters left: 6 (16 enodes) 2.782 * * [simplify]: iters left: 5 (45 enodes) 2.799 * * [simplify]: iters left: 4 (91 enodes) 2.838 * * [simplify]: iters left: 3 (310 enodes) 3.003 * * [simplify]: Extracting #0: cost 1 inf + 0 3.003 * * [simplify]: Extracting #1: cost 31 inf + 0 3.003 * * [simplify]: Extracting #2: cost 123 inf + 1 3.004 * * [simplify]: Extracting #3: cost 201 inf + 1129 3.005 * * [simplify]: Extracting #4: cost 263 inf + 9871 3.008 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.023 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.076 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.143 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.204 * [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)) 3.205 * [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))) 3.205 * * * [progress]: adding candidates to table 3.821 * * [progress]: iteration 2 / 4 3.821 * * * [progress]: picking best candidate 3.916 * * * * [pick]: Picked #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 3.917 * * * [progress]: localizing error 4.280 * * * [progress]: generating rewritten candidates 4.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.284 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.298 * * * [progress]: generating series expansions 4.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.298 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.298 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 4.299 * * * [progress]: simplifying candidates 4.299 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 4.299 * * * * [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)))> 4.299 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 4.299 * * * * [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)))))))> 4.299 * [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))))) 4.299 * * [simplify]: iters left: 6 (14 enodes) 4.306 * * [simplify]: iters left: 5 (42 enodes) 4.322 * * [simplify]: iters left: 4 (117 enodes) 4.385 * * [simplify]: iters left: 3 (432 enodes) 4.641 * * [simplify]: Extracting #0: cost 1 inf + 0 4.641 * * [simplify]: Extracting #1: cost 51 inf + 0 4.642 * * [simplify]: Extracting #2: cost 242 inf + 0 4.643 * * [simplify]: Extracting #3: cost 412 inf + 3092 4.656 * * [simplify]: Extracting #4: cost 427 inf + 239293 4.739 * * [simplify]: Extracting #5: cost 159 inf + 940878 4.812 * * [simplify]: Extracting #6: cost 1 inf + 1259592 4.876 * * [simplify]: Extracting #7: cost 0 inf + 1262236 4.941 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 c (*.p16 a (real->posit16 4)))) 4.942 * [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))))))) 4.942 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 4.942 * * * * [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)))> 4.942 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 4.942 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 4.942 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 4.942 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 4.942 * * * [progress]: adding candidates to table 5.324 * * [progress]: iteration 3 / 4 5.324 * * * [progress]: picking best candidate 5.492 * * * * [pick]: Picked #posit16 4) a) c)))) (real->posit16 2)) a))> 5.492 * * * [progress]: localizing error 5.802 * * * [progress]: generating rewritten candidates 5.802 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 5.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 5.817 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.820 * * * [progress]: generating series expansions 5.820 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 5.820 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 5.820 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.821 * * * [progress]: simplifying candidates 5.821 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 4) a) c))))) (real->posit16 2)) a))> 5.821 * * * * [progress]: [ 2 / 9 ] 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))))) (real->posit16 2)) a))> 5.821 * * * * [progress]: [ 3 / 9 ] simplifiying candidate #posit16 4) a) c))))) (real->posit16 2)) a))> 5.821 * * * * [progress]: [ 4 / 9 ] simplifiying candidate #posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (real->posit16 2)) a))> 5.821 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 a (real->posit16 2))))> 5.821 * [simplify]: Simplifying (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) 5.821 * * [simplify]: iters left: 6 (12 enodes) 5.825 * * [simplify]: iters left: 5 (37 enodes) 5.832 * * [simplify]: iters left: 4 (79 enodes) 5.868 * * [simplify]: iters left: 3 (269 enodes) 6.018 * * [simplify]: Extracting #0: cost 1 inf + 0 6.019 * * [simplify]: Extracting #1: cost 17 inf + 0 6.019 * * [simplify]: Extracting #2: cost 88 inf + 1 6.020 * * [simplify]: Extracting #3: cost 168 inf + 804 6.021 * * [simplify]: Extracting #4: cost 235 inf + 2891 6.029 * * [simplify]: Extracting #5: cost 214 inf + 98858 6.063 * * [simplify]: Extracting #6: cost 124 inf + 370436 6.090 * * [simplify]: Extracting #7: cost 4 inf + 597686 6.132 * * [simplify]: Extracting #8: cost 0 inf + 607340 6.160 * [simplify]: Simplified to (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) 6.160 * [simplify]: Simplified (2 1) to (λ (a b c) (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 a (real->posit16 2)))) 6.160 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 6.160 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 6.160 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 6.160 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 6.160 * * * [progress]: adding candidates to table 6.563 * * [progress]: iteration 4 / 4 6.563 * * * [progress]: picking best candidate 6.704 * * * * [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))))))))> 6.704 * * * [progress]: localizing error 7.201 * * * [progress]: generating rewritten candidates 7.201 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.204 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.207 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 7.207 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) 7.214 * * * [progress]: generating series expansions 7.214 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.214 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.214 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 7.214 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 2) 7.214 * * * [progress]: simplifying candidates 7.214 * * * * [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)))))> 7.214 * * * * [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)))))))> 7.215 * [simplify]: Simplifying (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) 7.215 * * [simplify]: iters left: 5 (12 enodes) 7.220 * * [simplify]: iters left: 4 (31 enodes) 7.232 * * [simplify]: iters left: 3 (64 enodes) 7.269 * * [simplify]: iters left: 2 (183 enodes) 7.387 * * [simplify]: Extracting #0: cost 1 inf + 0 7.387 * * [simplify]: Extracting #1: cost 6 inf + 0 7.387 * * [simplify]: Extracting #2: cost 10 inf + 1 7.387 * * [simplify]: Extracting #3: cost 22 inf + 804 7.387 * * [simplify]: Extracting #4: cost 64 inf + 1445 7.388 * * [simplify]: Extracting #5: cost 132 inf + 3371 7.390 * * [simplify]: Extracting #6: cost 212 inf + 14038 7.400 * * [simplify]: Extracting #7: cost 133 inf + 122101 7.422 * * [simplify]: Extracting #8: cost 13 inf + 330931 7.447 * * [simplify]: Extracting #9: cost 0 inf + 360062 7.461 * [simplify]: Simplified to (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) 7.461 * [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))) 7.461 * * * * [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)))))))> 7.461 * * * * [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))))))))> 7.461 * * * * [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))))))))> 7.462 * [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))))))) 7.462 * * [simplify]: iters left: 6 (21 enodes) 7.468 * * [simplify]: iters left: 5 (61 enodes) 7.495 * * [simplify]: iters left: 4 (154 enodes) 7.549 * * [simplify]: iters left: 3 (373 enodes) 7.815 * * [simplify]: Extracting #0: cost 1 inf + 0 7.815 * * [simplify]: Extracting #1: cost 7 inf + 0 7.816 * * [simplify]: Extracting #2: cost 59 inf + 0 7.816 * * [simplify]: Extracting #3: cost 119 inf + 83 7.818 * * [simplify]: Extracting #4: cost 137 inf + 11032 7.822 * * [simplify]: Extracting #5: cost 183 inf + 27270 7.831 * * [simplify]: Extracting #6: cost 223 inf + 84764 7.862 * * [simplify]: Extracting #7: cost 60 inf + 347389 7.902 * * [simplify]: Extracting #8: cost 1 inf + 460459 7.941 * * [simplify]: Extracting #9: cost 0 inf + 461583 7.982 * [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))) 7.982 * [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)))) 7.982 * * * * [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))))))))> 7.983 * [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))))))) 7.983 * * [simplify]: iters left: 6 (21 enodes) 7.993 * * [simplify]: iters left: 5 (61 enodes) 8.018 * * [simplify]: iters left: 4 (154 enodes) 8.062 * * [simplify]: iters left: 3 (373 enodes) 8.243 * * [simplify]: Extracting #0: cost 1 inf + 0 8.243 * * [simplify]: Extracting #1: cost 7 inf + 0 8.243 * * [simplify]: Extracting #2: cost 59 inf + 0 8.243 * * [simplify]: Extracting #3: cost 119 inf + 83 8.244 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.246 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.250 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.266 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.286 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.306 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.327 * [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))) 8.327 * [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)))) 8.327 * * * * [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))))))))> 8.328 * [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))))))) 8.328 * * [simplify]: iters left: 6 (21 enodes) 8.333 * * [simplify]: iters left: 5 (61 enodes) 8.345 * * [simplify]: iters left: 4 (154 enodes) 8.378 * * [simplify]: iters left: 3 (373 enodes) 8.515 * * [simplify]: Extracting #0: cost 1 inf + 0 8.515 * * [simplify]: Extracting #1: cost 7 inf + 0 8.516 * * [simplify]: Extracting #2: cost 59 inf + 0 8.516 * * [simplify]: Extracting #3: cost 119 inf + 83 8.517 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.519 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.523 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.539 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.558 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.578 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.614 * [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))) 8.614 * [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)))) 8.614 * * * * [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))))))))> 8.615 * [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))))))) 8.615 * * [simplify]: iters left: 6 (21 enodes) 8.625 * * [simplify]: iters left: 5 (61 enodes) 8.646 * * [simplify]: iters left: 4 (154 enodes) 8.677 * * [simplify]: iters left: 3 (373 enodes) 8.814 * * [simplify]: Extracting #0: cost 1 inf + 0 8.814 * * [simplify]: Extracting #1: cost 7 inf + 0 8.815 * * [simplify]: Extracting #2: cost 59 inf + 0 8.815 * * [simplify]: Extracting #3: cost 119 inf + 83 8.816 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.818 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.825 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.840 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.869 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.901 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.921 * [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))) 8.921 * [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)))) 8.921 * * * [progress]: adding candidates to table 9.249 * [progress]: [Phase 3 of 3] Extracting. 9.249 * * [regime]: Finding splitpoints for: (#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))))) (real->posit16 2)) a))> #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))))) (real->posit16 2)) a))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))) (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)))))))>) 9.252 * * * [regime-changes]: Trying 3 branch expressions: (c a b) 9.252 * * * * [regimes]: Trying to branch on c from (#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))))) (real->posit16 2)) a))> #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))))) (real->posit16 2)) a))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))) (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)))))))>) 9.430 * * * * [regimes]: Trying to branch on a from (#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))))) (real->posit16 2)) a))> #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))))) (real->posit16 2)) a))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))) (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)))))))>) 9.601 * * * * [regimes]: Trying to branch on b from (#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))))) (real->posit16 2)) a))> #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))))) (real->posit16 2)) a))> #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))) (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)))))))>) 9.872 * * * [regime]: Found split indices: #