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 0.132 * * * * [points]: Setting MPFR precision to 64 0.139 * * * * [points]: Setting MPFR precision to 320 0.142 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.149 * * * * [points]: Setting MPFR precision to 64 0.152 * * * * [points]: Setting MPFR precision to 320 0.186 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.194 * * * * [points]: Setting MPFR precision to 64 0.202 * * * * [points]: Setting MPFR precision to 320 0.210 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.215 * * * * [points]: Setting MPFR precision to 64 0.258 * * * * [points]: Setting MPFR precision to 320 0.272 * * * * [points]: Computing exacts for 256 points 0.278 * * * * [points]: Setting MPFR precision to 64 0.302 * * * * [points]: Setting MPFR precision to 320 0.321 * * * * [points]: Filtering points with unrepresentable outputs 0.323 * * * * [points]: Sampled 256 points with exact outputs 0.323 * * * [progress]: [2/2] Setting up program. 0.349 * [progress]: [Phase 2 of 3] Improving. 0.349 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 0.350 * [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)) 0.351 * * [simplify]: iters left: 6 (16 enodes) 0.874 * * [simplify]: iters left: 5 (45 enodes) 0.894 * * [simplify]: iters left: 4 (91 enodes) 0.935 * * [simplify]: iters left: 3 (310 enodes) 1.357 * * [simplify]: Extracting #0: cost 1 inf + 0 1.357 * * [simplify]: Extracting #1: cost 31 inf + 0 1.359 * * [simplify]: Extracting #2: cost 123 inf + 1 1.376 * * [simplify]: Extracting #3: cost 201 inf + 1129 1.379 * * [simplify]: Extracting #4: cost 263 inf + 9871 1.385 * * [simplify]: Extracting #5: cost 270 inf + 82040 1.448 * * [simplify]: Extracting #6: cost 192 inf + 363234 1.498 * * [simplify]: Extracting #7: cost 15 inf + 679901 1.561 * * [simplify]: Extracting #8: cost 0 inf + 712557 1.624 * [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)) 1.625 * [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))) 1.659 * * [progress]: iteration 1 / 4 1.659 * * * [progress]: picking best candidate 1.687 * * * * [pick]: Picked #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 1.687 * * * [progress]: localizing error 2.206 * * * [progress]: generating rewritten candidates 2.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 2.219 * * * [progress]: generating series expansions 2.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.219 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.219 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 2.220 * * * [progress]: simplifying candidates 2.220 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c)))))) (*.p16 (real->posit16 2) a)))> 2.220 * * * * [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)))> 2.220 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 2.220 * * * * [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))))))))> 2.220 * [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)))))) 2.220 * * [simplify]: iters left: 6 (14 enodes) 2.224 * * [simplify]: iters left: 5 (42 enodes) 2.232 * * [simplify]: iters left: 4 (117 enodes) 2.266 * * [simplify]: iters left: 3 (426 enodes) 2.489 * * [simplify]: Extracting #0: cost 1 inf + 0 2.489 * * [simplify]: Extracting #1: cost 51 inf + 0 2.490 * * [simplify]: Extracting #2: cost 242 inf + 0 2.491 * * [simplify]: Extracting #3: cost 408 inf + 4895 2.507 * * [simplify]: Extracting #4: cost 386 inf + 288425 2.554 * * [simplify]: Extracting #5: cost 133 inf + 992840 2.633 * * [simplify]: Extracting #6: cost 2 inf + 1243260 2.729 * * [simplify]: Extracting #7: cost 0 inf + 1250148 2.803 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) 2.803 * [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)))))))) 2.803 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 2.803 * * * * [progress]: [ 6 / 10 ] simplifiying candidate #posit16 4))))) (*.p16 (real->posit16 2) a)))> 2.803 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 2.803 * [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)) 2.803 * * [simplify]: iters left: 6 (16 enodes) 2.807 * * [simplify]: iters left: 5 (45 enodes) 2.816 * * [simplify]: iters left: 4 (91 enodes) 2.835 * * [simplify]: iters left: 3 (310 enodes) 2.968 * * [simplify]: Extracting #0: cost 1 inf + 0 2.969 * * [simplify]: Extracting #1: cost 31 inf + 0 2.969 * * [simplify]: Extracting #2: cost 123 inf + 1 2.970 * * [simplify]: Extracting #3: cost 201 inf + 1129 2.972 * * [simplify]: Extracting #4: cost 263 inf + 9871 2.978 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.007 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.060 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.127 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.187 * [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)) 3.187 * [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))) 3.187 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 3.188 * [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)) 3.188 * * [simplify]: iters left: 6 (16 enodes) 3.193 * * [simplify]: iters left: 5 (45 enodes) 3.201 * * [simplify]: iters left: 4 (91 enodes) 3.221 * * [simplify]: iters left: 3 (310 enodes) 3.379 * * [simplify]: Extracting #0: cost 1 inf + 0 3.379 * * [simplify]: Extracting #1: cost 31 inf + 0 3.379 * * [simplify]: Extracting #2: cost 123 inf + 1 3.381 * * [simplify]: Extracting #3: cost 201 inf + 1129 3.383 * * [simplify]: Extracting #4: cost 263 inf + 9871 3.389 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.417 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.477 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.534 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.578 * [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)) 3.578 * [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))) 3.578 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 3.578 * [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)) 3.578 * * [simplify]: iters left: 6 (16 enodes) 3.582 * * [simplify]: iters left: 5 (45 enodes) 3.590 * * [simplify]: iters left: 4 (91 enodes) 3.622 * * [simplify]: iters left: 3 (310 enodes) 3.823 * * [simplify]: Extracting #0: cost 1 inf + 0 3.823 * * [simplify]: Extracting #1: cost 31 inf + 0 3.824 * * [simplify]: Extracting #2: cost 123 inf + 1 3.825 * * [simplify]: Extracting #3: cost 201 inf + 1129 3.827 * * [simplify]: Extracting #4: cost 263 inf + 9871 3.834 * * [simplify]: Extracting #5: cost 270 inf + 82040 3.852 * * [simplify]: Extracting #6: cost 192 inf + 363234 3.893 * * [simplify]: Extracting #7: cost 15 inf + 679901 3.955 * * [simplify]: Extracting #8: cost 0 inf + 712557 3.989 * [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)) 3.989 * [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))) 3.990 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a)))> 3.990 * [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)) 3.990 * * [simplify]: iters left: 6 (16 enodes) 3.994 * * [simplify]: iters left: 5 (45 enodes) 4.010 * * [simplify]: iters left: 4 (91 enodes) 4.030 * * [simplify]: iters left: 3 (310 enodes) 4.227 * * [simplify]: Extracting #0: cost 1 inf + 0 4.227 * * [simplify]: Extracting #1: cost 31 inf + 0 4.228 * * [simplify]: Extracting #2: cost 123 inf + 1 4.228 * * [simplify]: Extracting #3: cost 201 inf + 1129 4.229 * * [simplify]: Extracting #4: cost 263 inf + 9871 4.232 * * [simplify]: Extracting #5: cost 270 inf + 82040 4.246 * * [simplify]: Extracting #6: cost 192 inf + 363234 4.273 * * [simplify]: Extracting #7: cost 15 inf + 679901 4.311 * * [simplify]: Extracting #8: cost 0 inf + 712557 4.357 * [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)) 4.357 * [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))) 4.357 * * * [progress]: adding candidates to table 4.769 * * [progress]: iteration 2 / 4 4.769 * * * [progress]: picking best candidate 4.849 * * * * [pick]: Picked #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 4.849 * * * [progress]: localizing error 5.055 * * * [progress]: generating rewritten candidates 5.055 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.068 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.073 * * * [progress]: generating series expansions 5.073 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.073 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.073 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.073 * * * [progress]: simplifying candidates 5.073 * * * * [progress]: [ 1 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 5.073 * * * * [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)))> 5.073 * * * * [progress]: [ 3 / 10 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 5.073 * * * * [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)))))))> 5.073 * [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))))) 5.073 * * [simplify]: iters left: 6 (14 enodes) 5.077 * * [simplify]: iters left: 5 (42 enodes) 5.085 * * [simplify]: iters left: 4 (117 enodes) 5.115 * * [simplify]: iters left: 3 (432 enodes) 5.341 * * [simplify]: Extracting #0: cost 1 inf + 0 5.342 * * [simplify]: Extracting #1: cost 51 inf + 0 5.342 * * [simplify]: Extracting #2: cost 242 inf + 0 5.344 * * [simplify]: Extracting #3: cost 412 inf + 3092 5.353 * * [simplify]: Extracting #4: cost 427 inf + 239293 5.416 * * [simplify]: Extracting #5: cost 159 inf + 940878 5.491 * * [simplify]: Extracting #6: cost 1 inf + 1259592 5.598 * * [simplify]: Extracting #7: cost 0 inf + 1262236 5.704 * [simplify]: Simplified to (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 c (*.p16 a (real->posit16 4)))) 5.704 * [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))))))) 5.704 * * * * [progress]: [ 5 / 10 ] simplifiying candidate #posit16 4) a) c))))) (*.p16 (real->posit16 2) a)))> 5.704 * * * * [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)))> 5.704 * * * * [progress]: [ 7 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 5.704 * * * * [progress]: [ 8 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 5.704 * * * * [progress]: [ 9 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 5.704 * * * * [progress]: [ 10 / 10 ] simplifiying candidate #posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> 5.704 * * * [progress]: adding candidates to table 6.127 * * [progress]: iteration 3 / 4 6.127 * * * [progress]: picking best candidate 6.252 * * * * [pick]: Picked #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 6.252 * * * [progress]: localizing error 6.451 * * * [progress]: generating rewritten candidates 6.451 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 6.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.460 * * * [progress]: generating series expansions 6.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.460 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.460 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 6.460 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.460 * * * [progress]: simplifying candidates 6.460 * * * * [progress]: [ 1 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c)))))) (real->posit16 2)) a))> 6.461 * * * * [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))> 6.461 * * * * [progress]: [ 3 / 9 ] simplifiying candidate #posit16 4) a) c)))) (real->posit16 2)) a))> 6.461 * * * * [progress]: [ 4 / 9 ] simplifiying candidate #posit16 4))))) (real->posit16 2)) a))> 6.461 * * * * [progress]: [ 5 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (*.p16 a (real->posit16 2))))> 6.461 * [simplify]: Simplifying (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) 6.461 * * [simplify]: iters left: 5 (12 enodes) 6.464 * * [simplify]: iters left: 4 (37 enodes) 6.471 * * [simplify]: iters left: 3 (79 enodes) 6.488 * * [simplify]: iters left: 2 (262 enodes) 6.574 * * [simplify]: Extracting #0: cost 1 inf + 0 6.574 * * [simplify]: Extracting #1: cost 17 inf + 0 6.574 * * [simplify]: Extracting #2: cost 88 inf + 1 6.574 * * [simplify]: Extracting #3: cost 166 inf + 804 6.575 * * [simplify]: Extracting #4: cost 230 inf + 3734 6.577 * * [simplify]: Extracting #5: cost 225 inf + 64494 6.597 * * [simplify]: Extracting #6: cost 137 inf + 332479 6.640 * * [simplify]: Extracting #7: cost 1 inf + 596662 6.688 * * [simplify]: Extracting #8: cost 0 inf + 599226 6.740 * [simplify]: Simplified to (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) 6.740 * [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)))) 6.741 * * * * [progress]: [ 6 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 6.741 * * * * [progress]: [ 7 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 6.741 * * * * [progress]: [ 8 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 6.741 * * * * [progress]: [ 9 / 9 ] simplifiying candidate #posit16 4) (*.p16 a c))))) (real->posit16 2)) a))> 6.741 * * * [progress]: adding candidates to table 7.240 * * [progress]: iteration 4 / 4 7.240 * * * [progress]: picking best candidate 7.347 * * * * [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))))))))> 7.347 * * * [progress]: localizing error 7.810 * * * [progress]: generating rewritten candidates 7.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.815 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.822 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 7.823 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) 7.831 * * * [progress]: generating series expansions 7.831 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.831 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 7.831 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 2) 7.831 * * * [progress]: simplifying candidates 7.831 * * * * [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)))))> 7.831 * * * * [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)))))))> 7.832 * [simplify]: Simplifying (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) 7.832 * * [simplify]: iters left: 5 (12 enodes) 7.837 * * [simplify]: iters left: 4 (31 enodes) 7.848 * * [simplify]: iters left: 3 (64 enodes) 7.875 * * [simplify]: iters left: 2 (183 enodes) 7.957 * * [simplify]: Extracting #0: cost 1 inf + 0 7.957 * * [simplify]: Extracting #1: cost 6 inf + 0 7.957 * * [simplify]: Extracting #2: cost 10 inf + 1 7.957 * * [simplify]: Extracting #3: cost 22 inf + 804 7.958 * * [simplify]: Extracting #4: cost 64 inf + 1445 7.958 * * [simplify]: Extracting #5: cost 132 inf + 3371 7.959 * * [simplify]: Extracting #6: cost 212 inf + 14038 7.966 * * [simplify]: Extracting #7: cost 133 inf + 122101 7.976 * * [simplify]: Extracting #8: cost 13 inf + 330931 7.990 * * [simplify]: Extracting #9: cost 0 inf + 360062 8.003 * [simplify]: Simplified to (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) 8.003 * [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))) 8.003 * * * * [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)))))))> 8.003 * * * * [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))))))))> 8.004 * * * * [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))))))))> 8.004 * [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))))))) 8.004 * * [simplify]: iters left: 6 (21 enodes) 8.012 * * [simplify]: iters left: 5 (61 enodes) 8.037 * * [simplify]: iters left: 4 (154 enodes) 8.078 * * [simplify]: iters left: 3 (373 enodes) 8.271 * * [simplify]: Extracting #0: cost 1 inf + 0 8.271 * * [simplify]: Extracting #1: cost 7 inf + 0 8.271 * * [simplify]: Extracting #2: cost 59 inf + 0 8.271 * * [simplify]: Extracting #3: cost 119 inf + 83 8.272 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.274 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.278 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.290 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.312 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.350 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.381 * [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))) 8.381 * [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)))) 8.381 * * * * [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))))))))> 8.381 * [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))))))) 8.381 * * [simplify]: iters left: 6 (21 enodes) 8.387 * * [simplify]: iters left: 5 (61 enodes) 8.399 * * [simplify]: iters left: 4 (154 enodes) 8.457 * * [simplify]: iters left: 3 (373 enodes) 8.663 * * [simplify]: Extracting #0: cost 1 inf + 0 8.663 * * [simplify]: Extracting #1: cost 7 inf + 0 8.663 * * [simplify]: Extracting #2: cost 59 inf + 0 8.664 * * [simplify]: Extracting #3: cost 119 inf + 83 8.665 * * [simplify]: Extracting #4: cost 137 inf + 11032 8.668 * * [simplify]: Extracting #5: cost 183 inf + 27270 8.675 * * [simplify]: Extracting #6: cost 223 inf + 84764 8.697 * * [simplify]: Extracting #7: cost 60 inf + 347389 8.732 * * [simplify]: Extracting #8: cost 1 inf + 460459 8.756 * * [simplify]: Extracting #9: cost 0 inf + 461583 8.779 * [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))) 8.779 * [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)))) 8.780 * * * * [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))))))))> 8.780 * [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))))))) 8.780 * * [simplify]: iters left: 6 (21 enodes) 8.785 * * [simplify]: iters left: 5 (61 enodes) 8.797 * * [simplify]: iters left: 4 (154 enodes) 8.843 * * [simplify]: iters left: 3 (373 enodes) 9.032 * * [simplify]: Extracting #0: cost 1 inf + 0 9.032 * * [simplify]: Extracting #1: cost 7 inf + 0 9.032 * * [simplify]: Extracting #2: cost 59 inf + 0 9.033 * * [simplify]: Extracting #3: cost 119 inf + 83 9.034 * * [simplify]: Extracting #4: cost 137 inf + 11032 9.037 * * [simplify]: Extracting #5: cost 183 inf + 27270 9.044 * * [simplify]: Extracting #6: cost 223 inf + 84764 9.056 * * [simplify]: Extracting #7: cost 60 inf + 347389 9.084 * * [simplify]: Extracting #8: cost 1 inf + 460459 9.120 * * [simplify]: Extracting #9: cost 0 inf + 461583 9.156 * [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))) 9.156 * [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)))) 9.156 * * * * [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))))))))> 9.156 * [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))))))) 9.156 * * [simplify]: iters left: 6 (21 enodes) 9.161 * * [simplify]: iters left: 5 (61 enodes) 9.173 * * [simplify]: iters left: 4 (154 enodes) 9.207 * * [simplify]: iters left: 3 (373 enodes) 9.381 * * [simplify]: Extracting #0: cost 1 inf + 0 9.381 * * [simplify]: Extracting #1: cost 7 inf + 0 9.381 * * [simplify]: Extracting #2: cost 59 inf + 0 9.382 * * [simplify]: Extracting #3: cost 119 inf + 83 9.383 * * [simplify]: Extracting #4: cost 137 inf + 11032 9.384 * * [simplify]: Extracting #5: cost 183 inf + 27270 9.389 * * [simplify]: Extracting #6: cost 223 inf + 84764 9.409 * * [simplify]: Extracting #7: cost 60 inf + 347389 9.427 * * [simplify]: Extracting #8: cost 1 inf + 460459 9.460 * * [simplify]: Extracting #9: cost 0 inf + 461583 9.488 * [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))) 9.488 * [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)))) 9.488 * * * [progress]: adding candidates to table 9.827 * [progress]: [Phase 3 of 3] Extracting. 9.828 * * [regime]: Finding splitpoints for: (#posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))> #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 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)))> #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 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) (*.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)))))))>) 9.834 * * * [regime-changes]: Trying 3 branch expressions: (c a b) 9.834 * * * * [regimes]: Trying to branch on c from (#posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))> #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 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)))> #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 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) (*.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)))))))>) 10.056 * * * * [regimes]: Trying to branch on a from (#posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))> #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 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)))> #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 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) (*.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)))))))>) 10.247 * * * * [regimes]: Trying to branch on b from (#posit16 4) a) c)))) (*.p16 (real->posit16 2) a)))> #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))> #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 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)))> #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 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) (*.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)))))))>) 10.437 * * * [regime]: Found split indices: #