10.265 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.003 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.004 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.009 * * * * [points]: Setting MPFR precision to 64 0.011 * * * * [points]: Setting MPFR precision to 320 0.012 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.014 * * * * [points]: Setting MPFR precision to 64 0.016 * * * * [points]: Setting MPFR precision to 320 0.018 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.020 * * * * [points]: Setting MPFR precision to 64 0.023 * * * * [points]: Setting MPFR precision to 320 0.026 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.029 * * * * [points]: Setting MPFR precision to 64 0.034 * * * * [points]: Setting MPFR precision to 320 0.043 * * * * [points]: Computing exacts for 256 points 0.048 * * * * [points]: Setting MPFR precision to 64 0.095 * * * * [points]: Setting MPFR precision to 320 0.124 * * * * [points]: Filtering points with unrepresentable outputs 0.126 * * * * [points]: Sampled 256 points with exact outputs 0.126 * * * [progress]: [2/2] Setting up program. 0.151 * [progress]: [Phase 2 of 3] Improving. 0.151 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.151 * [simplify]: Simplifying: (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) 0.151 * * [simplify]: iteration 1: (14 enodes) 0.158 * * [simplify]: iteration 2: (24 enodes) 0.166 * * [simplify]: iteration 3: (26 enodes) 0.174 * * [simplify]: Extracting #0: cost 1 inf + 0 0.174 * * [simplify]: Extracting #1: cost 3 inf + 0 0.174 * * [simplify]: Extracting #2: cost 5 inf + 0 0.174 * * [simplify]: Extracting #3: cost 8 inf + 1 0.174 * * [simplify]: Extracting #4: cost 10 inf + 2 0.174 * * [simplify]: Extracting #5: cost 9 inf + 4 0.174 * * [simplify]: Extracting #6: cost 10 inf + 5 0.174 * * [simplify]: Extracting #7: cost 9 inf + 648 0.175 * * [simplify]: Extracting #8: cost 7 inf + 970 0.175 * * [simplify]: Extracting #9: cost 5 inf + 2374 0.175 * * [simplify]: Extracting #10: cost 2 inf + 5262 0.176 * * [simplify]: Extracting #11: cost 0 inf + 7829 0.176 * [simplify]: Simplified to: (*.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re))) (real->posit16 0.5)) 0.198 * * [progress]: iteration 1 / 4 0.198 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.222 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.439 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 0.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.439 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 0.444 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.444 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.445 * * * [progress]: simplifying candidates 0.445 * * * * [progress]: [ 1 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.445 * * * * [progress]: [ 2 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (+.p16 (real->posit16 0.0) re))))))> 0.445 * * * * [progress]: [ 3 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (-.p16 (real->posit16 0.0) re))))))> 0.445 * * * * [progress]: [ 4 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (real->posit16 1.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.445 * * * * [progress]: [ 5 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (quire16->posit16 (posit16->quire16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))))> 0.445 * * * * [progress]: [ 6 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (quire16->posit16 (quire16-mul-add (posit16->quire16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) re (real->posit16 1.0)))))))> 0.445 * * * * [progress]: [ 7 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.445 * * * * [progress]: [ 8 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re) (real->posit16 0.0))))))> 0.445 * * * * [progress]: [ 9 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (-.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re) (real->posit16 0.0))))))> 0.445 * * * * [progress]: [ 10 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (real->posit16 1.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.445 * * * * [progress]: [ 11 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re) (real->posit16 1.0))))))> 0.445 * * * * [progress]: [ 12 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (/.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re) (real->posit16 1.0))))))> 0.445 * * * * [progress]: [ 13 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 re (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))))))))> 0.445 * * * * [progress]: [ 14 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (real->posit16 1.0) (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.445 * * * * [progress]: [ 15 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (quire16->posit16 (posit16->quire16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))))) re)))))> 0.445 * * * * [progress]: [ 16 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (real->posit16 0.0) (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.445 * * * * [progress]: [ 17 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (real->posit16 0.0)) re)))))> 0.445 * * * * [progress]: [ 18 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (-.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (real->posit16 0.0)) re)))))> 0.445 * * * * [progress]: [ 19 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (real->posit16 1.0) (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.445 * * * * [progress]: [ 20 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (real->posit16 1.0)) re)))))> 0.445 * * * * [progress]: [ 21 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (/.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) (real->posit16 1.0)) re)))))> 0.445 * * * * [progress]: [ 22 / 50 ] simplifiying candidate #posit16 0.5) (*.p16 (real->posit16 1.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.445 * * * * [progress]: [ 23 / 50 ] simplifiying candidate #posit16 0.5) (quire16->posit16 (posit16->quire16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))))> 0.445 * * * * [progress]: [ 24 / 50 ] simplifiying candidate #posit16 0.5) (+.p16 (real->posit16 0.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.446 * * * * [progress]: [ 25 / 50 ] simplifiying candidate #posit16 0.5) (+.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))) (real->posit16 0.0))))> 0.446 * * * * [progress]: [ 26 / 50 ] simplifiying candidate #posit16 0.5) (-.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))) (real->posit16 0.0))))> 0.446 * * * * [progress]: [ 27 / 50 ] simplifiying candidate #posit16 0.5) (*.p16 (real->posit16 1.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))))))> 0.446 * * * * [progress]: [ 28 / 50 ] simplifiying candidate #posit16 0.5) (*.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))) (real->posit16 1.0))))> 0.446 * * * * [progress]: [ 29 / 50 ] simplifiying candidate #posit16 0.5) (/.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re))) (real->posit16 1.0))))> 0.446 * * * * [progress]: [ 30 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (+.p16 (*.p16 re re) (real->posit16 0.0)) (*.p16 im im))) re)))))> 0.446 * * * * [progress]: [ 31 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 0.0))) re)))))> 0.446 * * * * [progress]: [ 32 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (real->posit16 0.0) (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 33 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (+.p16 (real->posit16 0.0) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 34 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (-.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 0.0))) re)))))> 0.446 * * * * [progress]: [ 35 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (-.p16 (*.p16 re re) (-.p16 (real->posit16 0.0) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 36 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (*.p16 (real->posit16 1.0) (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 37 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (posit16->quire16 (+.p16 (*.p16 re re) (*.p16 im im))))) re)))))> 0.446 * * * * [progress]: [ 38 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) (*.p16 im im) (real->posit16 1.0)))) re)))))> 0.446 * * * * [progress]: [ 39 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)))))> 0.446 * * * * [progress]: [ 40 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (real->posit16 0.0) (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 41 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 0.0))) re)))))> 0.446 * * * * [progress]: [ 42 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (-.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 0.0))) re)))))> 0.446 * * * * [progress]: [ 43 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (*.p16 (real->posit16 1.0) (+.p16 (*.p16 re re) (*.p16 im im)))) re)))))> 0.446 * * * * [progress]: [ 44 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (*.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 1.0))) re)))))> 0.446 * * * * [progress]: [ 45 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (/.p16 (+.p16 (*.p16 re re) (*.p16 im im)) (real->posit16 1.0))) re)))))> 0.446 * * * * [progress]: [ 46 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re)))))> 0.446 * * * * [progress]: [ 47 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.446 * * * * [progress]: [ 48 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.446 * * * * [progress]: [ 49 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.446 * * * * [progress]: [ 50 / 50 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.447 * [simplify]: Simplifying: (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re) (+.p16 (real->posit16 0.0) re) (-.p16 (real->posit16 0.0) re) (real->posit16 1.0) (posit16->quire16 (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)) (quire16-mul-add (posit16->quire16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) re (real->posit16 1.0)) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (posit16->quire16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im)))) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (posit16->quire16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (+.p16 (*.p16 re re) (real->posit16 0.0)) (+.p16 (*.p16 re re) (*.p16 im im)) (+.p16 (*.p16 re re) (*.p16 im im)) (+.p16 (real->posit16 0.0) (*.p16 im im)) (+.p16 (*.p16 re re) (*.p16 im im)) (-.p16 (real->posit16 0.0) (*.p16 im im)) (real->posit16 1.0) (posit16->quire16 (+.p16 (*.p16 re re) (*.p16 im im))) (quire16-mul-add (posit16->quire16 (*.p16 re re)) (*.p16 im im) (real->posit16 1.0)) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))) 0.447 * * [simplify]: iteration 1: (31 enodes) 0.456 * * [simplify]: iteration 2: (47 enodes) 0.473 * * [simplify]: iteration 3: (66 enodes) 0.486 * * [simplify]: iteration 4: (132 enodes) 0.538 * * [simplify]: iteration 5: (265 enodes) 1.969 * * [simplify]: iteration 6: (1778 enodes)