7.851 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.002 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.002 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.007 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.009 * * * * [points]: Setting MPFR precision to 64 0.011 * * * * [points]: Setting MPFR precision to 320 0.013 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.019 * * * * [points]: Setting MPFR precision to 64 0.024 * * * * [points]: Setting MPFR precision to 320 0.027 * * * * [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 0.039 * * * * [points]: Computing exacts for 256 points 0.042 * * * * [points]: Setting MPFR precision to 64 0.055 * * * * [points]: Setting MPFR precision to 320 0.070 * * * * [points]: Filtering points with unrepresentable outputs 0.070 * * * * [points]: Sampled 256 points with exact outputs 0.071 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [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)))))> 0.084 * [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)))) 0.084 * * [simplify]: iteration 0: 14 enodes 0.087 * * [simplify]: iteration 1: 24 enodes 0.095 * * [simplify]: iteration 2: 26 enodes 0.103 * * [simplify]: iteration complete: 26 enodes 0.103 * * [simplify]: Extracting #0: cost 1 inf + 0 0.103 * * [simplify]: Extracting #1: cost 3 inf + 0 0.103 * * [simplify]: Extracting #2: cost 5 inf + 0 0.103 * * [simplify]: Extracting #3: cost 8 inf + 1 0.103 * * [simplify]: Extracting #4: cost 10 inf + 2 0.103 * * [simplify]: Extracting #5: cost 9 inf + 4 0.103 * * [simplify]: Extracting #6: cost 10 inf + 5 0.104 * * [simplify]: Extracting #7: cost 9 inf + 648 0.104 * * [simplify]: Extracting #8: cost 7 inf + 970 0.104 * * [simplify]: Extracting #9: cost 5 inf + 2374 0.104 * * [simplify]: Extracting #10: cost 2 inf + 5262 0.105 * * [simplify]: Extracting #11: cost 0 inf + 7829 0.106 * [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)) 0.107 * * [progress]: iteration 1 / 4 0.107 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))> 0.133 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 0.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 0.325 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.325 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.325 * * * [progress]: simplifying candidates 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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)))))))> 0.325 * * * * [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)))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))> 0.325 * * * * [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))))))))> 0.325 * * * * [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)))))> 0.325 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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))))))> 0.326 * * * * [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)))))))> 0.326 * * * * [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))))))> 0.326 * * * * [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))))> 0.326 * * * * [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))))> 0.326 * * * * [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))))))> 0.326 * * * * [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))))> 0.326 * * * * [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))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.326 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * * * * [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)))))> 0.327 * [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)))) 0.328 * * [simplify]: iteration 0: 31 enodes 0.335 * * [simplify]: iteration 1: 48 enodes 0.344 * * [simplify]: iteration 2: 73 enodes 0.357 * * [simplify]: iteration 3: 145 enodes 0.420 * * [simplify]: iteration 4: 331 enodes 0.499 * * [simplify]: iteration 5: 611 enodes 0.724 * * [simplify]: iteration 6: 2007 enodes 1.874 * * [simplify]: iteration complete: 2007 enodes 1.874 * * [simplify]: Extracting #0: cost 17 inf + 0 1.875 * * [simplify]: Extracting #1: cost 464 inf + 1 1.878 * * [simplify]: Extracting #2: cost 545 inf + 24361 1.897 * * [simplify]: Extracting #3: cost 105 inf + 127677 1.930 * * [simplify]: Extracting #4: cost 43 inf + 154859 1.966 * * [simplify]: Extracting #5: cost 32 inf + 156080 1.985 * * [simplify]: Extracting #6: cost 9 inf + 168292 2.003 * * [simplify]: Extracting #7: cost 0 inf + 171951 2.031 * [simplify]: Simplified to: (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) re (neg.p16 re) (real->posit16 1.0) (posit16->quire16 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re)) (quire16-mul-add (posit16->quire16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re)))) 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 im im) (*.p16 re 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) (real->posit16 1.0) (posit16->quire16 (sqrt.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) (real->posit16 2.0)))) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 0.0) (real->posit16 1.0) (real->posit16 1.0) (real->posit16 1.0) (*.p16 re re) (+.p16 (*.p16 im im) (*.p16 re re)) (+.p16 (*.p16 im im) (*.p16 re re)) (*.p16 im im) (+.p16 (*.p16 im im) (*.p16 re re)) (neg.p16 (*.p16 im im)) (real->posit16 1.0) (posit16->quire16 (+.p16 (*.p16 im im) (*.p16 re re))) (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 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) (real->posit16 2.0)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) (real->posit16 2.0)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) (real->posit16 2.0)))) (*.p16 (real->posit16 0.5) (sqrt.p16 (*.p16 (+.p16 (sqrt.p16 (+.p16 (*.p16 im im) (*.p16 re re))) re) (real->posit16 2.0)))) 2.036 * * * [progress]: adding candidates to table 3.135 * * [progress]: iteration 2 / 4 3.136 * * * [progress]: picking best candidate 3.154 * * * * [pick]: Picked #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)))))> 3.155 * * * [progress]: localizing error 3.376 * * * [progress]: generating rewritten candidates 3.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.377 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 3.380 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.381 * * * [progress]: generating series expansions 3.381 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 3.381 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 3.381 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.381 * * * [progress]: simplifying candidates 3.381 * * * * [progress]: [ 1 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.381 * * * * [progress]: [ 2 / 33 ] 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))) (+.p16 (real->posit16 0.0) re))))))> 3.381 * * * * [progress]: [ 3 / 33 ] 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))) (-.p16 (real->posit16 0.0) re))))))> 3.381 * * * * [progress]: [ 4 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (real->posit16 1.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.381 * * * * [progress]: [ 5 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (quire16->posit16 (posit16->quire16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)))))))> 3.381 * * * * [progress]: [ 6 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (quire16->posit16 (quire16-mul-add (posit16->quire16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))) re (real->posit16 1.0)))))))> 3.381 * * * * [progress]: [ 7 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.381 * * * * [progress]: [ 8 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re) (real->posit16 0.0))))))> 3.381 * * * * [progress]: [ 9 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (-.p16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re) (real->posit16 0.0))))))> 3.381 * * * * [progress]: [ 10 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (real->posit16 1.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.381 * * * * [progress]: [ 11 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (*.p16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re) (real->posit16 1.0))))))> 3.382 * * * * [progress]: [ 12 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (/.p16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re) (real->posit16 1.0))))))> 3.382 * * * * [progress]: [ 13 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 re (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))))))))> 3.382 * * * * [progress]: [ 14 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (real->posit16 1.0) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))) re)))))> 3.382 * * * * [progress]: [ 15 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (quire16->posit16 (posit16->quire16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))))) re)))))> 3.382 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (real->posit16 0.0) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))) re)))))> 3.382 * * * * [progress]: [ 17 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) (real->posit16 0.0)) re)))))> 3.382 * * * * [progress]: [ 18 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) (real->posit16 0.0)) re)))))> 3.382 * * * * [progress]: [ 19 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (real->posit16 1.0) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))) re)))))> 3.382 * * * * [progress]: [ 20 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (*.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) (real->posit16 1.0)) re)))))> 3.382 * * * * [progress]: [ 21 / 33 ] simplifiying candidate #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (/.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) (real->posit16 1.0)) re)))))> 3.382 * * * * [progress]: [ 22 / 33 ] simplifiying candidate #posit16 0.5) (*.p16 (real->posit16 1.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.382 * * * * [progress]: [ 23 / 33 ] simplifiying candidate #posit16 0.5) (quire16->posit16 (posit16->quire16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)))))))> 3.382 * * * * [progress]: [ 24 / 33 ] simplifiying candidate #posit16 0.5) (+.p16 (real->posit16 0.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.382 * * * * [progress]: [ 25 / 33 ] simplifiying candidate #posit16 0.5) (+.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))) (real->posit16 0.0))))> 3.382 * * * * [progress]: [ 26 / 33 ] simplifiying candidate #posit16 0.5) (-.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))) (real->posit16 0.0))))> 3.382 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #posit16 0.5) (*.p16 (real->posit16 1.0) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))))))> 3.382 * * * * [progress]: [ 28 / 33 ] simplifiying candidate #posit16 0.5) (*.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))) (real->posit16 1.0))))> 3.382 * * * * [progress]: [ 29 / 33 ] simplifiying candidate #posit16 0.5) (/.p16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re))) (real->posit16 1.0))))> 3.382 * * * * [progress]: [ 30 / 33 ] 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)))))> 3.382 * * * * [progress]: [ 31 / 33 ] 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)))))> 3.382 * * * * [progress]: [ 32 / 33 ] 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)))))> 3.382 * * * * [progress]: [ 33 / 33 ] 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)))))> 3.383 * [simplify]: Simplifying: (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re) (+.p16 (real->posit16 0.0) re) (-.p16 (real->posit16 0.0) re) (real->posit16 1.0) (posit16->quire16 (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)) (quire16-mul-add (posit16->quire16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) 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 (quire16->posit16 (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) (real->posit16 1.0) (posit16->quire16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) 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) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) 3.383 * * [simplify]: iteration 0: 22 enodes 3.388 * * [simplify]: iteration 1: 33 enodes 3.394 * * [simplify]: iteration 2: 36 enodes 3.399 * * [simplify]: iteration 3: 42 enodes 3.407 * * [simplify]: iteration 4: 58 enodes 3.414 * * [simplify]: iteration 5: 74 enodes 3.423 * * [simplify]: iteration 6: 106 enodes 3.441 * * [simplify]: iteration 7: 201 enodes 3.621 * * [simplify]: iteration 8: 762 enodes 4.067 * * [simplify]: iteration 9: 2036 enodes 4.473 * * [simplify]: iteration complete: 2036 enodes 4.473 * * [simplify]: Extracting #0: cost 10 inf + 0 4.474 * * [simplify]: Extracting #1: cost 87 inf + 82 4.474 * * [simplify]: Extracting #2: cost 141 inf + 87 4.476 * * [simplify]: Extracting #3: cost 353 inf + 8733 4.481 * * [simplify]: Extracting #4: cost 432 inf + 58497 4.497 * * [simplify]: Extracting #5: cost 195 inf + 161238 4.526 * * [simplify]: Extracting #6: cost 4 inf + 246655 4.553 * * [simplify]: Extracting #7: cost 0 inf + 250789 4.582 * [simplify]: Simplified to: (+.p16 re (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))) re (neg.p16 re) (real->posit16 1.0) (posit16->quire16 (+.p16 re (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))))) (quire16-mul-add (posit16->quire16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) 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 (quire16->posit16 (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) (real->posit16 1.0) (posit16->quire16 (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 re (sqrt.p16 (quire16->posit16 (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) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im) 4.584 * * * [progress]: adding candidates to table 5.221 * [progress]: [Phase 3 of 3] Extracting. 5.222 * * [regime]: Finding splitpoints for: (#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)))))> #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))>) 5.222 * * * [regime-changes]: Trying 2 branch expressions: (im re) 5.222 * * * * [regimes]: Trying to branch on im from (#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)))))> #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))>) 5.345 * * * * [regimes]: Trying to branch on re from (#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)))))> #posit16 0.5) (sqrt.p16 (*.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (*.p16 re re) (*.p16 im im))) re)))))>) 5.453 * * * [regime]: Found split indices: #