0.006 * [progress]: [Phase 1 of 3] Setting up. 0.007 * * * [progress]: [1/2] Preparing points 0.210 * * * [progress]: [2/2] Setting up program. 0.218 * [progress]: [Phase 2 of 3] Improving. 0.219 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.220 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.222 * * [simplify]: iters left: 6 (12 enodes) 0.236 * * [simplify]: iters left: 5 (41 enodes) 0.250 * * [simplify]: iters left: 4 (50 enodes) 0.299 * * [simplify]: iters left: 3 (64 enodes) 0.399 * * [simplify]: iters left: 2 (73 enodes) 0.449 * * [simplify]: iters left: 1 (75 enodes) 0.474 * * [simplify]: Extracting #0: cost 1 inf + 0 0.475 * * [simplify]: Extracting #1: cost 4 inf + 0 0.475 * * [simplify]: Extracting #2: cost 5 inf + 1 0.476 * * [simplify]: Extracting #3: cost 11 inf + 1 0.476 * * [simplify]: Extracting #4: cost 18 inf + 2 0.476 * * [simplify]: Extracting #5: cost 17 inf + 209 0.476 * * [simplify]: Extracting #6: cost 16 inf + 415 0.477 * * [simplify]: Extracting #7: cost 18 inf + 456 0.477 * * [simplify]: Extracting #8: cost 15 inf + 539 0.478 * * [simplify]: Extracting #9: cost 7 inf + 1795 0.479 * * [simplify]: Extracting #10: cost 0 inf + 3658 0.481 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.481 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.491 * * [progress]: iteration 1 / 4 0.491 * * * [progress]: picking best candidate 0.497 * * * * [pick]: Picked # 0.497 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.546 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.592 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.615 * * * [progress]: generating series expansions 0.615 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.620 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.620 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.621 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.621 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [backup-simplify]: Simplify re into re 0.622 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.623 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.623 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.623 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.624 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.624 * [taylor]: Taking taylor expansion of im in re 0.624 * [backup-simplify]: Simplify im into im 0.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.625 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.625 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.625 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.625 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.625 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [backup-simplify]: Simplify im into im 0.625 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.626 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.626 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.626 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.627 * [taylor]: Taking taylor expansion of im in im 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [taylor]: Taking taylor expansion of 0 in im 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ 0 1) into 1 0.630 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.630 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.631 * [taylor]: Taking taylor expansion of 1/2 in im 0.631 * [backup-simplify]: Simplify 1/2 into 1/2 0.631 * [taylor]: Taking taylor expansion of im in im 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in im 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.636 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.636 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.637 * [backup-simplify]: Simplify re into re 0.637 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [backup-simplify]: Simplify (+ 0 1) into 1 0.639 * [backup-simplify]: Simplify (sqrt 1) into 1 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.642 * [taylor]: Taking taylor expansion of im in re 0.642 * [backup-simplify]: Simplify im into im 0.642 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.642 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.642 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [backup-simplify]: Simplify im into im 0.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.646 * [backup-simplify]: Simplify (+ 1 0) into 1 0.646 * [backup-simplify]: Simplify (sqrt 1) into 1 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.648 * [taylor]: Taking taylor expansion of 1 in im 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.650 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.650 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of 1/2 in im 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.660 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.660 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.661 * [taylor]: Taking taylor expansion of re in im 0.661 * [backup-simplify]: Simplify re into re 0.661 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.661 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (+ 0 1) into 1 0.662 * [backup-simplify]: Simplify (sqrt 1) into 1 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [backup-simplify]: Simplify im into im 0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.664 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.664 * [backup-simplify]: Simplify (+ 1 0) into 1 0.665 * [backup-simplify]: Simplify (sqrt 1) into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.666 * [taylor]: Taking taylor expansion of re in re 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.667 * [backup-simplify]: Simplify im into im 0.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.667 * [backup-simplify]: Simplify (+ 1 0) into 1 0.668 * [backup-simplify]: Simplify (sqrt 1) into 1 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.670 * [taylor]: Taking taylor expansion of 1 in im 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.672 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.672 * [taylor]: Taking taylor expansion of 1/2 in im 0.672 * [backup-simplify]: Simplify 1/2 into 1/2 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.677 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.677 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.677 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.677 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.677 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [backup-simplify]: Simplify re into re 0.677 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.677 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.677 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.677 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [backup-simplify]: Simplify re into re 0.678 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.678 * [backup-simplify]: Simplify im into im 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.678 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.678 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.678 * [backup-simplify]: Simplify im into im 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.679 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.679 * [taylor]: Taking taylor expansion of re in re 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ im 0) into im 0.679 * [taylor]: Taking taylor expansion of im in im 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (- 1) into -1 0.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.680 * [taylor]: Taking taylor expansion of -1 in im 0.680 * [backup-simplify]: Simplify -1 into -1 0.680 * [backup-simplify]: Simplify -1 into -1 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (+ 0 1) into 1 0.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.682 * [taylor]: Taking taylor expansion of 1/2 in im 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [taylor]: Taking taylor expansion of 0 in im 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.687 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.687 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [backup-simplify]: Simplify re into re 0.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.687 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (+ 0 1) into 1 0.688 * [backup-simplify]: Simplify (sqrt 1) into 1 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.690 * [backup-simplify]: Simplify re into re 0.690 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.690 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.690 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [backup-simplify]: Simplify im into im 0.690 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.690 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.691 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (sqrt 1) into 1 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.693 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [backup-simplify]: Simplify im into im 0.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.694 * [backup-simplify]: Simplify (+ 1 0) into 1 0.694 * [backup-simplify]: Simplify (sqrt 1) into 1 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.700 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.701 * [taylor]: Taking taylor expansion of 1/2 in im 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [taylor]: Taking taylor expansion of 0 in im 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.709 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.709 * [taylor]: Taking taylor expansion of re in im 0.709 * [backup-simplify]: Simplify re into re 0.709 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.709 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.709 * [taylor]: Taking taylor expansion of re in im 0.709 * [backup-simplify]: Simplify re into re 0.709 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.709 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.709 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (sqrt 1) into 1 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [backup-simplify]: Simplify im into im 0.713 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.713 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.713 * [backup-simplify]: Simplify (+ 1 0) into 1 0.713 * [backup-simplify]: Simplify (sqrt 1) into 1 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (/ 1 1) into 1 0.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (* 1 1) into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [backup-simplify]: Simplify im into im 0.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.716 * [backup-simplify]: Simplify (+ 1 0) into 1 0.717 * [backup-simplify]: Simplify (sqrt 1) into 1 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.719 * [backup-simplify]: Simplify (+ 1 1) into 2 0.719 * [taylor]: Taking taylor expansion of 2 in im 0.719 * [backup-simplify]: Simplify 2 into 2 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 2 into 2 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.722 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.722 * [taylor]: Taking taylor expansion of 1/2 in im 0.722 * [backup-simplify]: Simplify 1/2 into 1/2 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.729 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.729 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 0.729 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.729 * [backup-simplify]: Simplify 2.0 into 2.0 0.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.730 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.730 * [taylor]: Taking taylor expansion of re in im 0.730 * [backup-simplify]: Simplify re into re 0.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.730 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.731 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.731 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [backup-simplify]: Simplify (- re) into (- re) 0.731 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.732 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.732 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.733 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.735 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.735 * [taylor]: Taking taylor expansion of 2.0 in re 0.735 * [backup-simplify]: Simplify 2.0 into 2.0 0.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.736 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.736 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ im 0) into im 0.737 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.737 * [backup-simplify]: Simplify (- 1) into -1 0.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.737 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.737 * [taylor]: Taking taylor expansion of 2.0 in re 0.737 * [backup-simplify]: Simplify 2.0 into 2.0 0.738 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.738 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.738 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.739 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ im 0) into im 0.739 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.740 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.740 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.740 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.740 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.740 * [taylor]: Taking taylor expansion of 2.0 in im 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.741 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (sqrt 0) into 0 0.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.744 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.745 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.745 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.745 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.745 * [taylor]: Taking taylor expansion of 1/2 in im 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.745 * [taylor]: Taking taylor expansion of 2.0 in im 0.745 * [backup-simplify]: Simplify 2.0 into 2.0 0.745 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.746 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (sqrt 0) into 0 0.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.756 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.757 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.761 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.766 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.767 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.770 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0.770 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.770 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.770 * [taylor]: Taking taylor expansion of 2.0 in im 0.770 * [backup-simplify]: Simplify 2.0 into 2.0 0.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.771 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.771 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.771 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.771 * [taylor]: Taking taylor expansion of re in im 0.771 * [backup-simplify]: Simplify re into re 0.771 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.771 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.771 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.771 * [taylor]: Taking taylor expansion of im in im 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ 0 1) into 1 0.772 * [backup-simplify]: Simplify (sqrt 1) into 1 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.774 * [taylor]: Taking taylor expansion of re in im 0.774 * [backup-simplify]: Simplify re into re 0.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.774 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (sqrt 0) into 0 0.775 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.775 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.775 * [taylor]: Taking taylor expansion of 2.0 in re 0.775 * [backup-simplify]: Simplify 2.0 into 2.0 0.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.776 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.776 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [backup-simplify]: Simplify im into im 0.777 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (sqrt 1) into 1 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (- 1) into -1 0.780 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.784 * [backup-simplify]: Simplify (sqrt 0) into 0 0.784 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.784 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.785 * [taylor]: Taking taylor expansion of 2.0 in re 0.785 * [backup-simplify]: Simplify 2.0 into 2.0 0.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.786 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.786 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.787 * [taylor]: Taking taylor expansion of im in re 0.787 * [backup-simplify]: Simplify im into im 0.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.788 * [backup-simplify]: Simplify (sqrt 1) into 1 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (- 1) into -1 0.792 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.796 * [backup-simplify]: Simplify (sqrt 0) into 0 0.796 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.797 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.797 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.797 * [taylor]: Taking taylor expansion of +nan.0 in im 0.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.797 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.797 * [taylor]: Taking taylor expansion of 2.0 in im 0.797 * [backup-simplify]: Simplify 2.0 into 2.0 0.798 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.806 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.806 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.806 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.806 * [taylor]: Taking taylor expansion of +nan.0 in im 0.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.806 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [backup-simplify]: Simplify 2.0 into 2.0 0.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.807 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.824 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.825 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.825 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.825 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.825 * [taylor]: Taking taylor expansion of +nan.0 in im 0.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.825 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.825 * [taylor]: Taking taylor expansion of 2.0 in im 0.825 * [backup-simplify]: Simplify 2.0 into 2.0 0.826 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.826 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.827 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.827 * [backup-simplify]: Simplify 2.0 into 2.0 0.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.828 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.860 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.860 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.860 * [taylor]: Taking taylor expansion of 2.0 in im 0.860 * [backup-simplify]: Simplify 2.0 into 2.0 0.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.861 * [taylor]: Taking taylor expansion of re in im 0.861 * [backup-simplify]: Simplify re into re 0.861 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.861 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.861 * [taylor]: Taking taylor expansion of re in im 0.861 * [backup-simplify]: Simplify re into re 0.861 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.861 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.861 * [taylor]: Taking taylor expansion of im in im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [backup-simplify]: Simplify (+ 0 1) into 1 0.862 * [backup-simplify]: Simplify (sqrt 1) into 1 0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 1) into 1 0.865 * [backup-simplify]: Simplify (sqrt 0) into 0 0.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.866 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.866 * [taylor]: Taking taylor expansion of 2.0 in re 0.866 * [backup-simplify]: Simplify 2.0 into 2.0 0.866 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [backup-simplify]: Simplify im into im 0.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.868 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.869 * [backup-simplify]: Simplify (sqrt 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.870 * [backup-simplify]: Simplify (+ 1 1) into 2 0.871 * [backup-simplify]: Simplify (sqrt 0) into 0 0.871 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.871 * [taylor]: Taking taylor expansion of 2.0 in re 0.871 * [backup-simplify]: Simplify 2.0 into 2.0 0.872 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.873 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [backup-simplify]: Simplify im into im 0.873 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.874 * [backup-simplify]: Simplify (+ 1 0) into 1 0.874 * [backup-simplify]: Simplify (sqrt 1) into 1 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.875 * [backup-simplify]: Simplify (+ 1 1) into 2 0.876 * [backup-simplify]: Simplify (sqrt 0) into 0 0.876 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.877 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.877 * [taylor]: Taking taylor expansion of 0 in im 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.878 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.878 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.878 * [taylor]: Taking taylor expansion of +nan.0 in im 0.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.878 * [taylor]: Taking taylor expansion of 2.0 in im 0.878 * [backup-simplify]: Simplify 2.0 into 2.0 0.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.884 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.884 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.884 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.884 * [taylor]: Taking taylor expansion of +nan.0 in im 0.884 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.884 * [taylor]: Taking taylor expansion of 2.0 in im 0.884 * [backup-simplify]: Simplify 2.0 into 2.0 0.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.885 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.886 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.887 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.890 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.890 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.891 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.893 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.893 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.893 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.893 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.893 * [taylor]: Taking taylor expansion of +nan.0 in im 0.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.893 * [taylor]: Taking taylor expansion of 2.0 in im 0.893 * [backup-simplify]: Simplify 2.0 into 2.0 0.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.894 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.894 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.894 * [taylor]: Taking taylor expansion of +nan.0 in im 0.894 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.894 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.894 * [taylor]: Taking taylor expansion of 2.0 in im 0.894 * [backup-simplify]: Simplify 2.0 into 2.0 0.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.897 * [backup-simplify]: Simplify (- 0) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.899 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.900 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.901 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.907 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.907 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.907 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.907 * [taylor]: Taking taylor expansion of +nan.0 in im 0.907 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.907 * [taylor]: Taking taylor expansion of 2.0 in im 0.907 * [backup-simplify]: Simplify 2.0 into 2.0 0.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.908 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.908 * [taylor]: Taking taylor expansion of +nan.0 in im 0.908 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.908 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.908 * [taylor]: Taking taylor expansion of 2.0 in im 0.908 * [backup-simplify]: Simplify 2.0 into 2.0 0.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.908 * [taylor]: Taking taylor expansion of im in im 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.918 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.922 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.922 * * * [progress]: simplifying candidates 0.922 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.922 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.922 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.922 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.923 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.923 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.923 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.923 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.923 * * [simplify]: iters left: 6 (8 enodes) 0.925 * * [simplify]: iters left: 5 (26 enodes) 0.928 * * [simplify]: Extracting #0: cost 1 inf + 0 0.928 * * [simplify]: Extracting #1: cost 4 inf + 0 0.928 * * [simplify]: Extracting #2: cost 7 inf + 0 0.928 * * [simplify]: Extracting #3: cost 10 inf + 0 0.929 * * [simplify]: Extracting #4: cost 14 inf + 0 0.929 * * [simplify]: Extracting #5: cost 10 inf + 84 0.929 * * [simplify]: Extracting #6: cost 8 inf + 166 0.929 * * [simplify]: Extracting #7: cost 4 inf + 854 0.930 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.930 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.931 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.931 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 0.931 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.931 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.932 * * [simplify]: iters left: 6 (7 enodes) 0.935 * * [simplify]: iters left: 5 (22 enodes) 0.941 * * [simplify]: Extracting #0: cost 1 inf + 0 0.941 * * [simplify]: Extracting #1: cost 3 inf + 0 0.941 * * [simplify]: Extracting #2: cost 5 inf + 0 0.941 * * [simplify]: Extracting #3: cost 8 inf + 0 0.941 * * [simplify]: Extracting #4: cost 12 inf + 0 0.941 * * [simplify]: Extracting #5: cost 10 inf + 2 0.941 * * [simplify]: Extracting #6: cost 1 inf + 936 0.942 * * [simplify]: Extracting #7: cost 0 inf + 1138 0.942 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 0.942 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 0.942 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.943 * [simplify]: Simplifying (sqrt 1) 0.943 * * [simplify]: iters left: 1 (2 enodes) 0.951 * * [simplify]: Extracting #0: cost 1 inf + 0 0.951 * * [simplify]: Extracting #1: cost 0 inf + 1 0.951 * [simplify]: Simplified to 1 0.951 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 0.951 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.951 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 0.951 * * [simplify]: iters left: 6 (9 enodes) 0.957 * * [simplify]: iters left: 5 (45 enodes) 0.978 * * [simplify]: iters left: 4 (100 enodes) 1.024 * * [simplify]: iters left: 3 (201 enodes) 1.115 * * [simplify]: iters left: 2 (406 enodes) 1.310 * * [simplify]: Extracting #0: cost 1 inf + 0 1.310 * * [simplify]: Extracting #1: cost 3 inf + 0 1.310 * * [simplify]: Extracting #2: cost 6 inf + 0 1.310 * * [simplify]: Extracting #3: cost 80 inf + 0 1.311 * * [simplify]: Extracting #4: cost 189 inf + 460 1.313 * * [simplify]: Extracting #5: cost 168 inf + 4664 1.319 * * [simplify]: Extracting #6: cost 84 inf + 34209 1.329 * * [simplify]: Extracting #7: cost 2 inf + 72608 1.337 * * [simplify]: Extracting #8: cost 0 inf + 73363 1.343 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 1.343 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 1.343 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 1.343 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.344 * * [simplify]: iters left: 6 (8 enodes) 1.346 * * [simplify]: iters left: 5 (37 enodes) 1.353 * * [simplify]: iters left: 4 (67 enodes) 1.366 * * [simplify]: iters left: 3 (123 enodes) 1.394 * * [simplify]: iters left: 2 (278 enodes) 1.536 * * [simplify]: Extracting #0: cost 1 inf + 0 1.536 * * [simplify]: Extracting #1: cost 3 inf + 0 1.536 * * [simplify]: Extracting #2: cost 50 inf + 0 1.537 * * [simplify]: Extracting #3: cost 150 inf + 0 1.538 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.540 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.546 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.553 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.568 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.568 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 1.568 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 1.568 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.568 * * [simplify]: iters left: 4 (5 enodes) 1.571 * * [simplify]: iters left: 3 (16 enodes) 1.575 * * [simplify]: Extracting #0: cost 1 inf + 0 1.575 * * [simplify]: Extracting #1: cost 4 inf + 0 1.575 * * [simplify]: Extracting #2: cost 8 inf + 0 1.575 * * [simplify]: Extracting #3: cost 4 inf + 84 1.575 * * [simplify]: Extracting #4: cost 0 inf + 410 1.576 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.576 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 1.576 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 1.576 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 1.576 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.576 * * [simplify]: iters left: 5 (6 enodes) 1.579 * * [simplify]: iters left: 4 (19 enodes) 1.584 * * [simplify]: Extracting #0: cost 1 inf + 0 1.584 * * [simplify]: Extracting #1: cost 3 inf + 0 1.584 * * [simplify]: Extracting #2: cost 6 inf + 0 1.584 * * [simplify]: Extracting #3: cost 10 inf + 0 1.584 * * [simplify]: Extracting #4: cost 6 inf + 84 1.584 * * [simplify]: Extracting #5: cost 0 inf + 734 1.585 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.585 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.585 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 1.585 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.585 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 1.585 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.585 * * [simplify]: iters left: 6 (9 enodes) 1.589 * * [simplify]: iters left: 5 (30 enodes) 1.597 * * [simplify]: iters left: 4 (34 enodes) 1.604 * * [simplify]: iters left: 3 (39 enodes) 1.610 * * [simplify]: iters left: 2 (44 enodes) 1.619 * * [simplify]: iters left: 1 (52 enodes) 1.627 * * [simplify]: Extracting #0: cost 1 inf + 0 1.627 * * [simplify]: Extracting #1: cost 9 inf + 0 1.627 * * [simplify]: Extracting #2: cost 15 inf + 1 1.627 * * [simplify]: Extracting #3: cost 17 inf + 2 1.628 * * [simplify]: Extracting #4: cost 18 inf + 114 1.628 * * [simplify]: Extracting #5: cost 15 inf + 601 1.628 * * [simplify]: Extracting #6: cost 7 inf + 1413 1.629 * * [simplify]: Extracting #7: cost 0 inf + 3047 1.629 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 1.630 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 1.630 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 1.630 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 1.631 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.631 * * [simplify]: iters left: 6 (9 enodes) 1.634 * * [simplify]: iters left: 5 (29 enodes) 1.641 * * [simplify]: Extracting #0: cost 1 inf + 0 1.642 * * [simplify]: Extracting #1: cost 4 inf + 0 1.642 * * [simplify]: Extracting #2: cost 8 inf + 0 1.642 * * [simplify]: Extracting #3: cost 9 inf + 1 1.642 * * [simplify]: Extracting #4: cost 11 inf + 42 1.642 * * [simplify]: Extracting #5: cost 12 inf + 124 1.642 * * [simplify]: Extracting #6: cost 8 inf + 248 1.642 * * [simplify]: Extracting #7: cost 5 inf + 654 1.643 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.643 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.644 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.644 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.645 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.645 * * [simplify]: iters left: 6 (9 enodes) 1.649 * * [simplify]: iters left: 5 (30 enodes) 1.657 * * [simplify]: iters left: 4 (33 enodes) 1.666 * * [simplify]: Extracting #0: cost 1 inf + 0 1.666 * * [simplify]: Extracting #1: cost 5 inf + 0 1.666 * * [simplify]: Extracting #2: cost 10 inf + 0 1.666 * * [simplify]: Extracting #3: cost 11 inf + 1 1.667 * * [simplify]: Extracting #4: cost 10 inf + 245 1.667 * * [simplify]: Extracting #5: cost 12 inf + 286 1.667 * * [simplify]: Extracting #6: cost 8 inf + 410 1.667 * * [simplify]: Extracting #7: cost 6 inf + 694 1.668 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.668 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.669 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.669 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.669 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 1.670 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.670 * * [simplify]: iters left: 6 (9 enodes) 1.674 * * [simplify]: iters left: 5 (29 enodes) 1.682 * * [simplify]: Extracting #0: cost 1 inf + 0 1.682 * * [simplify]: Extracting #1: cost 4 inf + 0 1.682 * * [simplify]: Extracting #2: cost 8 inf + 0 1.682 * * [simplify]: Extracting #3: cost 9 inf + 1 1.682 * * [simplify]: Extracting #4: cost 11 inf + 42 1.682 * * [simplify]: Extracting #5: cost 12 inf + 124 1.683 * * [simplify]: Extracting #6: cost 8 inf + 248 1.683 * * [simplify]: Extracting #7: cost 5 inf + 654 1.683 * * [simplify]: Extracting #8: cost 2 inf + 1300 1.684 * * [simplify]: Extracting #9: cost 0 inf + 1784 1.684 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 1.685 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.685 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.685 * * [simplify]: iters left: 6 (9 enodes) 1.689 * * [simplify]: iters left: 5 (30 enodes) 1.698 * * [simplify]: iters left: 4 (33 enodes) 1.707 * * [simplify]: Extracting #0: cost 1 inf + 0 1.707 * * [simplify]: Extracting #1: cost 5 inf + 0 1.707 * * [simplify]: Extracting #2: cost 10 inf + 0 1.707 * * [simplify]: Extracting #3: cost 11 inf + 1 1.708 * * [simplify]: Extracting #4: cost 10 inf + 245 1.708 * * [simplify]: Extracting #5: cost 12 inf + 286 1.708 * * [simplify]: Extracting #6: cost 8 inf + 410 1.708 * * [simplify]: Extracting #7: cost 6 inf + 694 1.709 * * [simplify]: Extracting #8: cost 1 inf + 1744 1.709 * * [simplify]: Extracting #9: cost 0 inf + 1946 1.709 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1.709 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 1.709 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 1.710 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 1.710 * * [simplify]: iters left: 6 (7 enodes) 1.711 * * [simplify]: iters left: 5 (24 enodes) 1.715 * * [simplify]: iters left: 4 (27 enodes) 1.719 * * [simplify]: Extracting #0: cost 1 inf + 0 1.720 * * [simplify]: Extracting #1: cost 5 inf + 0 1.720 * * [simplify]: Extracting #2: cost 7 inf + 1 1.720 * * [simplify]: Extracting #3: cost 8 inf + 83 1.720 * * [simplify]: Extracting #4: cost 10 inf + 124 1.720 * * [simplify]: Extracting #5: cost 6 inf + 248 1.720 * * [simplify]: Extracting #6: cost 3 inf + 654 1.720 * * [simplify]: Extracting #7: cost 1 inf + 1018 1.720 * * [simplify]: Extracting #8: cost 0 inf + 1220 1.721 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 1.721 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 1.721 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.721 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 1.721 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 1.721 * [simplify]: Simplifying (sqrt 2.0) 1.722 * * [simplify]: iters left: 1 (2 enodes) 1.723 * * [simplify]: Extracting #0: cost 1 inf + 0 1.723 * * [simplify]: Extracting #1: cost 3 inf + 0 1.723 * * [simplify]: Extracting #2: cost 2 inf + 1 1.723 * * [simplify]: Extracting #3: cost 0 inf + 83 1.723 * [simplify]: Simplified to (sqrt 2.0) 1.723 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 1.723 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 1.723 * [simplify]: Simplifying (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.723 * * [simplify]: iters left: 6 (13 enodes) 1.728 * * [simplify]: iters left: 5 (55 enodes) 1.745 * * [simplify]: iters left: 4 (99 enodes) 1.778 * * [simplify]: iters left: 3 (233 enodes) 1.871 * * [simplify]: Extracting #0: cost 1 inf + 0 1.872 * * [simplify]: Extracting #1: cost 3 inf + 0 1.872 * * [simplify]: Extracting #2: cost 17 inf + 0 1.872 * * [simplify]: Extracting #3: cost 87 inf + 1 1.873 * * [simplify]: Extracting #4: cost 143 inf + 43 1.874 * * [simplify]: Extracting #5: cost 126 inf + 3453 1.880 * * [simplify]: Extracting #6: cost 53 inf + 22391 1.885 * * [simplify]: Extracting #7: cost 16 inf + 39442 1.891 * * [simplify]: Extracting #8: cost 0 inf + 49378 1.897 * [simplify]: Simplified to (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.897 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 1.897 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 1.897 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.897 * * [simplify]: iters left: 6 (11 enodes) 1.900 * * [simplify]: iters left: 5 (38 enodes) 1.907 * * [simplify]: iters left: 4 (70 enodes) 1.936 * * [simplify]: iters left: 3 (163 enodes) 2.007 * * [simplify]: iters left: 2 (402 enodes) 2.234 * * [simplify]: Extracting #0: cost 1 inf + 0 2.234 * * [simplify]: Extracting #1: cost 3 inf + 0 2.234 * * [simplify]: Extracting #2: cost 60 inf + 0 2.234 * * [simplify]: Extracting #3: cost 166 inf + 208 2.236 * * [simplify]: Extracting #4: cost 205 inf + 1480 2.241 * * [simplify]: Extracting #5: cost 133 inf + 14569 2.259 * * [simplify]: Extracting #6: cost 20 inf + 46377 2.282 * * [simplify]: Extracting #7: cost 0 inf + 52943 2.306 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.306 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 2.306 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 2.306 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 2.306 * * [simplify]: iters left: 6 (9 enodes) 2.309 * * [simplify]: iters left: 5 (31 enodes) 2.314 * * [simplify]: iters left: 4 (40 enodes) 2.321 * * [simplify]: iters left: 3 (54 enodes) 2.329 * * [simplify]: iters left: 2 (63 enodes) 2.338 * * [simplify]: iters left: 1 (65 enodes) 2.346 * * [simplify]: Extracting #0: cost 1 inf + 0 2.346 * * [simplify]: Extracting #1: cost 7 inf + 0 2.346 * * [simplify]: Extracting #2: cost 14 inf + 1 2.346 * * [simplify]: Extracting #3: cost 14 inf + 126 2.346 * * [simplify]: Extracting #4: cost 13 inf + 332 2.346 * * [simplify]: Extracting #5: cost 14 inf + 455 2.347 * * [simplify]: Extracting #6: cost 10 inf + 660 2.347 * * [simplify]: Extracting #7: cost 1 inf + 2241 2.348 * * [simplify]: Extracting #8: cost 0 inf + 2443 2.348 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 2.348 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2)))) 2.348 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 2.348 * [simplify]: Simplifying (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 2.349 * * [simplify]: iters left: 6 (9 enodes) 2.351 * * [simplify]: iters left: 5 (31 enodes) 2.356 * * [simplify]: iters left: 4 (40 enodes) 2.363 * * [simplify]: iters left: 3 (54 enodes) 2.377 * * [simplify]: iters left: 2 (63 enodes) 2.395 * * [simplify]: iters left: 1 (65 enodes) 2.417 * * [simplify]: Extracting #0: cost 1 inf + 0 2.417 * * [simplify]: Extracting #1: cost 7 inf + 0 2.417 * * [simplify]: Extracting #2: cost 14 inf + 1 2.417 * * [simplify]: Extracting #3: cost 14 inf + 126 2.418 * * [simplify]: Extracting #4: cost 13 inf + 332 2.418 * * [simplify]: Extracting #5: cost 14 inf + 455 2.418 * * [simplify]: Extracting #6: cost 10 inf + 660 2.419 * * [simplify]: Extracting #7: cost 1 inf + 2241 2.420 * * [simplify]: Extracting #8: cost 0 inf + 2443 2.421 * [simplify]: Simplified to (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) 2.421 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2.0) (/ 1 2)))) 2.421 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 2.422 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 2.422 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 2.422 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 2.422 * [simplify]: Simplifying im 2.422 * * [simplify]: iters left: 0 (1 enodes) 2.423 * * [simplify]: Extracting #0: cost 1 inf + 0 2.423 * * [simplify]: Extracting #1: cost 0 inf + 1 2.423 * [simplify]: Simplified to im 2.423 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 2.423 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 2.423 * [simplify]: Simplifying re 2.423 * * [simplify]: iters left: 0 (1 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 0 inf + 1 2.424 * [simplify]: Simplified to re 2.424 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 2.424 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 2.424 * [simplify]: Simplifying (* -1 re) 2.424 * * [simplify]: iters left: 2 (3 enodes) 2.426 * * [simplify]: iters left: 1 (11 enodes) 2.430 * * [simplify]: Extracting #0: cost 1 inf + 0 2.430 * * [simplify]: Extracting #1: cost 4 inf + 0 2.430 * * [simplify]: Extracting #2: cost 0 inf + 84 2.430 * [simplify]: Simplified to (- re) 2.430 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 2.430 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 2.431 * [simplify]: Simplifying (- im re) 2.431 * * [simplify]: iters left: 2 (3 enodes) 2.432 * * [simplify]: iters left: 1 (11 enodes) 2.435 * * [simplify]: Extracting #0: cost 1 inf + 0 2.435 * * [simplify]: Extracting #1: cost 5 inf + 0 2.435 * * [simplify]: Extracting #2: cost 3 inf + 43 2.435 * * [simplify]: Extracting #3: cost 0 inf + 168 2.436 * [simplify]: Simplified to (- im re) 2.436 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 2.436 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 2.436 * [simplify]: Simplifying 0 2.436 * * [simplify]: iters left: 0 (1 enodes) 2.437 * * [simplify]: Extracting #0: cost 1 inf + 0 2.437 * * [simplify]: Extracting #1: cost 0 inf + 1 2.437 * [simplify]: Simplified to 0 2.437 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.437 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 2.437 * [simplify]: Simplifying (* -2 re) 2.437 * * [simplify]: iters left: 2 (3 enodes) 2.438 * * [simplify]: iters left: 1 (10 enodes) 2.440 * * [simplify]: Extracting #0: cost 1 inf + 0 2.440 * * [simplify]: Extracting #1: cost 4 inf + 0 2.440 * * [simplify]: Extracting #2: cost 2 inf + 2 2.440 * * [simplify]: Extracting #3: cost 0 inf + 86 2.440 * [simplify]: Simplified to (* -2 re) 2.440 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 2.440 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 2.440 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 2.440 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.441 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 2.441 * [simplify]: Simplifying 0 2.441 * * [simplify]: iters left: 0 (1 enodes) 2.441 * * [simplify]: Extracting #0: cost 1 inf + 0 2.441 * * [simplify]: Extracting #1: cost 0 inf + 1 2.441 * [simplify]: Simplified to 0 2.441 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.441 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 2.442 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.442 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.442 * * * [progress]: adding candidates to table 3.052 * * [progress]: iteration 2 / 4 3.052 * * * [progress]: picking best candidate 3.080 * * * * [pick]: Picked # 3.080 * * * [progress]: localizing error 3.116 * * * [progress]: generating rewritten candidates 3.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.128 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.139 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.269 * * * [progress]: generating series expansions 3.269 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.269 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.270 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.270 * [taylor]: Taking taylor expansion of im in im 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.270 * [taylor]: Taking taylor expansion of re in im 3.270 * [backup-simplify]: Simplify re into re 3.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.270 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.270 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.270 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.271 * [backup-simplify]: Simplify (+ 0 0) into 0 3.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.271 * [taylor]: Taking taylor expansion of im in re 3.271 * [backup-simplify]: Simplify im into im 3.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.271 * [taylor]: Taking taylor expansion of re in re 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.273 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.273 * [taylor]: Taking taylor expansion of im in re 3.273 * [backup-simplify]: Simplify im into im 3.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.273 * [taylor]: Taking taylor expansion of re in re 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.273 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.273 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.274 * [taylor]: Taking taylor expansion of im in im 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [taylor]: Taking taylor expansion of 0 in im 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (+ 0 1) into 1 3.276 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.276 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.276 * [taylor]: Taking taylor expansion of 1/2 in im 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of im in im 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.278 * [taylor]: Taking taylor expansion of 0 in im 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.279 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.279 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.280 * [taylor]: Taking taylor expansion of re in im 3.280 * [backup-simplify]: Simplify re into re 3.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.280 * [taylor]: Taking taylor expansion of im in im 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (/ 1 1) into 1 3.280 * [backup-simplify]: Simplify (+ 0 1) into 1 3.281 * [backup-simplify]: Simplify (sqrt 1) into 1 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.282 * [taylor]: Taking taylor expansion of re in re 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* 1 1) into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.283 * [taylor]: Taking taylor expansion of im in re 3.283 * [backup-simplify]: Simplify im into im 3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.284 * [backup-simplify]: Simplify (+ 1 0) into 1 3.284 * [backup-simplify]: Simplify (sqrt 1) into 1 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (+ 0 0) into 0 3.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.285 * [taylor]: Taking taylor expansion of re in re 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.286 * [taylor]: Taking taylor expansion of im in re 3.286 * [backup-simplify]: Simplify im into im 3.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.286 * [backup-simplify]: Simplify (+ 1 0) into 1 3.287 * [backup-simplify]: Simplify (sqrt 1) into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.288 * [taylor]: Taking taylor expansion of 1 in im 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [taylor]: Taking taylor expansion of 0 in im 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.290 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.290 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.290 * [taylor]: Taking taylor expansion of 1/2 in im 3.290 * [backup-simplify]: Simplify 1/2 into 1/2 3.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.290 * [taylor]: Taking taylor expansion of im in im 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.295 * [taylor]: Taking taylor expansion of 0 in im 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.298 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.298 * [taylor]: Taking taylor expansion of re in im 3.298 * [backup-simplify]: Simplify re into re 3.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.298 * [taylor]: Taking taylor expansion of im in im 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [backup-simplify]: Simplify (+ 0 1) into 1 3.300 * [backup-simplify]: Simplify (sqrt 1) into 1 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.302 * [taylor]: Taking taylor expansion of re in re 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.308 * [taylor]: Taking taylor expansion of im in re 3.308 * [backup-simplify]: Simplify im into im 3.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.309 * [backup-simplify]: Simplify (+ 1 0) into 1 3.309 * [backup-simplify]: Simplify (sqrt 1) into 1 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.312 * [taylor]: Taking taylor expansion of re in re 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (* 1 1) into 1 3.312 * [backup-simplify]: Simplify (/ 1 1) into 1 3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.312 * [taylor]: Taking taylor expansion of im in re 3.312 * [backup-simplify]: Simplify im into im 3.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.313 * [backup-simplify]: Simplify (+ 1 0) into 1 3.313 * [backup-simplify]: Simplify (sqrt 1) into 1 3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.316 * [taylor]: Taking taylor expansion of 1 in im 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of 0 in im 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.319 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.319 * [taylor]: Taking taylor expansion of 1/2 in im 3.319 * [backup-simplify]: Simplify 1/2 into 1/2 3.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.319 * [taylor]: Taking taylor expansion of im in im 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in im 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.327 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.327 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.327 * [taylor]: Taking taylor expansion of im in im 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.327 * [taylor]: Taking taylor expansion of re in im 3.327 * [backup-simplify]: Simplify re into re 3.327 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.327 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.327 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.327 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.328 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.328 * [taylor]: Taking taylor expansion of im in re 3.328 * [backup-simplify]: Simplify im into im 3.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.328 * [taylor]: Taking taylor expansion of re in re 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.328 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.329 * [taylor]: Taking taylor expansion of im in re 3.329 * [backup-simplify]: Simplify im into im 3.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.329 * [taylor]: Taking taylor expansion of re in re 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.330 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.330 * [taylor]: Taking taylor expansion of im in im 3.330 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [taylor]: Taking taylor expansion of 0 in im 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (+ 0 1) into 1 3.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.333 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.333 * [taylor]: Taking taylor expansion of 1/2 in im 3.333 * [backup-simplify]: Simplify 1/2 into 1/2 3.333 * [taylor]: Taking taylor expansion of im in im 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.337 * [taylor]: Taking taylor expansion of 0 in im 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.339 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.339 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.339 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.339 * [taylor]: Taking taylor expansion of re in im 3.339 * [backup-simplify]: Simplify re into re 3.339 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.340 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.340 * [taylor]: Taking taylor expansion of im in im 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [backup-simplify]: Simplify (+ 0 1) into 1 3.341 * [backup-simplify]: Simplify (sqrt 1) into 1 3.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.345 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.345 * [taylor]: Taking taylor expansion of re in re 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.346 * [taylor]: Taking taylor expansion of im in re 3.346 * [backup-simplify]: Simplify im into im 3.346 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.346 * [backup-simplify]: Simplify (+ 1 0) into 1 3.347 * [backup-simplify]: Simplify (sqrt 1) into 1 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.350 * [taylor]: Taking taylor expansion of re in re 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.351 * [taylor]: Taking taylor expansion of im in re 3.351 * [backup-simplify]: Simplify im into im 3.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.352 * [backup-simplify]: Simplify (sqrt 1) into 1 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.355 * [taylor]: Taking taylor expansion of 1 in im 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of 0 in im 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.358 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.358 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.358 * [taylor]: Taking taylor expansion of 1/2 in im 3.358 * [backup-simplify]: Simplify 1/2 into 1/2 3.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.358 * [taylor]: Taking taylor expansion of im in im 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in im 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.367 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.367 * [taylor]: Taking taylor expansion of re in im 3.367 * [backup-simplify]: Simplify re into re 3.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.367 * [taylor]: Taking taylor expansion of im in im 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [backup-simplify]: Simplify (+ 0 1) into 1 3.369 * [backup-simplify]: Simplify (sqrt 1) into 1 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.371 * [taylor]: Taking taylor expansion of re in re 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.372 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.372 * [taylor]: Taking taylor expansion of im in re 3.372 * [backup-simplify]: Simplify im into im 3.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.373 * [backup-simplify]: Simplify (+ 1 0) into 1 3.373 * [backup-simplify]: Simplify (sqrt 1) into 1 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.376 * [taylor]: Taking taylor expansion of re in re 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.377 * [taylor]: Taking taylor expansion of im in re 3.377 * [backup-simplify]: Simplify im into im 3.377 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.378 * [backup-simplify]: Simplify (+ 1 0) into 1 3.378 * [backup-simplify]: Simplify (sqrt 1) into 1 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.380 * [taylor]: Taking taylor expansion of 1 in im 3.380 * [backup-simplify]: Simplify 1 into 1 3.381 * [taylor]: Taking taylor expansion of 0 in im 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.384 * [taylor]: Taking taylor expansion of 1/2 in im 3.384 * [backup-simplify]: Simplify 1/2 into 1/2 3.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.384 * [taylor]: Taking taylor expansion of im in im 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (* 1 1) into 1 3.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.390 * [taylor]: Taking taylor expansion of 0 in im 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.393 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.393 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.393 * [taylor]: Taking taylor expansion of im in im 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.393 * [taylor]: Taking taylor expansion of re in im 3.394 * [backup-simplify]: Simplify re into re 3.394 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.394 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.394 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.394 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.395 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.395 * [taylor]: Taking taylor expansion of re in im 3.395 * [backup-simplify]: Simplify re into re 3.395 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.395 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.395 * [taylor]: Taking taylor expansion of im in re 3.395 * [backup-simplify]: Simplify im into im 3.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.395 * [taylor]: Taking taylor expansion of re in re 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.395 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.396 * [taylor]: Taking taylor expansion of re in re 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.396 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.396 * [taylor]: Taking taylor expansion of im in re 3.396 * [backup-simplify]: Simplify im into im 3.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.396 * [taylor]: Taking taylor expansion of re in re 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.396 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.397 * [taylor]: Taking taylor expansion of re in re 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify (+ im 0) into im 3.398 * [taylor]: Taking taylor expansion of im in im 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- 1) into -1 3.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.399 * [taylor]: Taking taylor expansion of -1 in im 3.399 * [backup-simplify]: Simplify -1 into -1 3.399 * [backup-simplify]: Simplify -1 into -1 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.399 * [backup-simplify]: Simplify (* 1 1) into 1 3.400 * [backup-simplify]: Simplify (+ 0 1) into 1 3.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.401 * [taylor]: Taking taylor expansion of 1/2 in im 3.401 * [backup-simplify]: Simplify 1/2 into 1/2 3.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.401 * [taylor]: Taking taylor expansion of im in im 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.405 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [taylor]: Taking taylor expansion of 0 in im 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.409 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.409 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.409 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.409 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.409 * [taylor]: Taking taylor expansion of re in im 3.409 * [backup-simplify]: Simplify re into re 3.409 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.409 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.409 * [taylor]: Taking taylor expansion of im in im 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [backup-simplify]: Simplify (+ 0 1) into 1 3.411 * [backup-simplify]: Simplify (sqrt 1) into 1 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.413 * [taylor]: Taking taylor expansion of re in im 3.413 * [backup-simplify]: Simplify re into re 3.413 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.413 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.413 * [taylor]: Taking taylor expansion of re in re 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (* 1 1) into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.414 * [taylor]: Taking taylor expansion of im in re 3.414 * [backup-simplify]: Simplify im into im 3.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.415 * [backup-simplify]: Simplify (+ 1 0) into 1 3.415 * [backup-simplify]: Simplify (sqrt 1) into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.418 * [taylor]: Taking taylor expansion of re in re 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.418 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.418 * [taylor]: Taking taylor expansion of re in re 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.419 * [taylor]: Taking taylor expansion of im in re 3.419 * [backup-simplify]: Simplify im into im 3.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.420 * [backup-simplify]: Simplify (+ 1 0) into 1 3.420 * [backup-simplify]: Simplify (sqrt 1) into 1 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.423 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.423 * [taylor]: Taking taylor expansion of re in re 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [backup-simplify]: Simplify (- 1) into -1 3.424 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.424 * [taylor]: Taking taylor expansion of 0 in im 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [taylor]: Taking taylor expansion of 0 in im 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.429 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.430 * [taylor]: Taking taylor expansion of 1/2 in im 3.430 * [backup-simplify]: Simplify 1/2 into 1/2 3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.431 * [taylor]: Taking taylor expansion of im in im 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.437 * [backup-simplify]: Simplify (+ 0 0) into 0 3.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [taylor]: Taking taylor expansion of 0 in im 3.439 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.443 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.443 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.443 * [taylor]: Taking taylor expansion of re in im 3.443 * [backup-simplify]: Simplify re into re 3.443 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.443 * [taylor]: Taking taylor expansion of re in im 3.443 * [backup-simplify]: Simplify re into re 3.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.443 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.443 * [taylor]: Taking taylor expansion of im in im 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (* 1 1) into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [backup-simplify]: Simplify (+ 0 1) into 1 3.445 * [backup-simplify]: Simplify (sqrt 1) into 1 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.448 * [taylor]: Taking taylor expansion of re in re 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.449 * [taylor]: Taking taylor expansion of re in re 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.450 * [taylor]: Taking taylor expansion of im in re 3.450 * [backup-simplify]: Simplify im into im 3.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.450 * [backup-simplify]: Simplify (+ 1 0) into 1 3.451 * [backup-simplify]: Simplify (sqrt 1) into 1 3.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.453 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.453 * [taylor]: Taking taylor expansion of re in re 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.454 * [taylor]: Taking taylor expansion of re in re 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 1 1) into 1 3.455 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.455 * [taylor]: Taking taylor expansion of im in re 3.455 * [backup-simplify]: Simplify im into im 3.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.455 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.456 * [backup-simplify]: Simplify (+ 1 0) into 1 3.456 * [backup-simplify]: Simplify (sqrt 1) into 1 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.464 * [backup-simplify]: Simplify (+ 1 1) into 2 3.464 * [taylor]: Taking taylor expansion of 2 in im 3.464 * [backup-simplify]: Simplify 2 into 2 3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in im 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 2 into 2 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.470 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.470 * [taylor]: Taking taylor expansion of 1/2 in im 3.470 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.470 * [taylor]: Taking taylor expansion of im in im 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* 1 1) into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [taylor]: Taking taylor expansion of 0 in im 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.482 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 3.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.482 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.482 * [taylor]: Taking taylor expansion of im in im 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.482 * [taylor]: Taking taylor expansion of re in im 3.482 * [backup-simplify]: Simplify re into re 3.482 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.482 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.482 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.482 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.483 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.483 * [taylor]: Taking taylor expansion of im in re 3.483 * [backup-simplify]: Simplify im into im 3.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.483 * [taylor]: Taking taylor expansion of re in re 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.483 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.484 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.484 * [taylor]: Taking taylor expansion of im in re 3.484 * [backup-simplify]: Simplify im into im 3.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.484 * [taylor]: Taking taylor expansion of re in re 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.484 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.485 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.485 * [taylor]: Taking taylor expansion of im in im 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [taylor]: Taking taylor expansion of 0 in im 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.486 * [backup-simplify]: Simplify (* 1 1) into 1 3.487 * [backup-simplify]: Simplify (+ 0 1) into 1 3.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.488 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.488 * [taylor]: Taking taylor expansion of 1/2 in im 3.488 * [backup-simplify]: Simplify 1/2 into 1/2 3.488 * [taylor]: Taking taylor expansion of im in im 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.491 * [taylor]: Taking taylor expansion of 0 in im 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.493 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.493 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.493 * [taylor]: Taking taylor expansion of re in im 3.493 * [backup-simplify]: Simplify re into re 3.493 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.493 * [taylor]: Taking taylor expansion of im in im 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [backup-simplify]: Simplify (+ 0 1) into 1 3.496 * [backup-simplify]: Simplify (sqrt 1) into 1 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.498 * [taylor]: Taking taylor expansion of re in re 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (* 1 1) into 1 3.499 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.499 * [taylor]: Taking taylor expansion of im in re 3.499 * [backup-simplify]: Simplify im into im 3.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.500 * [backup-simplify]: Simplify (+ 1 0) into 1 3.500 * [backup-simplify]: Simplify (sqrt 1) into 1 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 0) into 0 3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.503 * [taylor]: Taking taylor expansion of re in re 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (* 1 1) into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.504 * [taylor]: Taking taylor expansion of im in re 3.504 * [backup-simplify]: Simplify im into im 3.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.504 * [backup-simplify]: Simplify (+ 1 0) into 1 3.505 * [backup-simplify]: Simplify (sqrt 1) into 1 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.507 * [taylor]: Taking taylor expansion of 1 in im 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [taylor]: Taking taylor expansion of 0 in im 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.510 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.510 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.510 * [taylor]: Taking taylor expansion of 1/2 in im 3.510 * [backup-simplify]: Simplify 1/2 into 1/2 3.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.510 * [taylor]: Taking taylor expansion of im in im 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (* 1 1) into 1 3.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in im 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.515 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.515 * [taylor]: Taking taylor expansion of re in im 3.515 * [backup-simplify]: Simplify re into re 3.515 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.515 * [taylor]: Taking taylor expansion of im in im 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (* 1 1) into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [backup-simplify]: Simplify (+ 0 1) into 1 3.516 * [backup-simplify]: Simplify (sqrt 1) into 1 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.518 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.518 * [taylor]: Taking taylor expansion of re in re 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* 1 1) into 1 3.519 * [backup-simplify]: Simplify (/ 1 1) into 1 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.519 * [taylor]: Taking taylor expansion of im in re 3.519 * [backup-simplify]: Simplify im into im 3.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.519 * [backup-simplify]: Simplify (+ 1 0) into 1 3.519 * [backup-simplify]: Simplify (sqrt 1) into 1 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.521 * [taylor]: Taking taylor expansion of re in re 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (* 1 1) into 1 3.521 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.521 * [taylor]: Taking taylor expansion of im in re 3.521 * [backup-simplify]: Simplify im into im 3.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.522 * [backup-simplify]: Simplify (+ 1 0) into 1 3.522 * [backup-simplify]: Simplify (sqrt 1) into 1 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.524 * [taylor]: Taking taylor expansion of 1 in im 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [taylor]: Taking taylor expansion of 0 in im 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.526 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.526 * [taylor]: Taking taylor expansion of 1/2 in im 3.526 * [backup-simplify]: Simplify 1/2 into 1/2 3.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.526 * [taylor]: Taking taylor expansion of im in im 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (* 1 1) into 1 3.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.529 * [taylor]: Taking taylor expansion of 0 in im 3.529 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.531 * * * [progress]: simplifying candidates 3.531 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 3.531 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 3.531 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 3.531 * * [simplify]: iters left: 6 (8 enodes) 3.534 * * [simplify]: iters left: 5 (26 enodes) 3.540 * * [simplify]: Extracting #0: cost 1 inf + 0 3.541 * * [simplify]: Extracting #1: cost 4 inf + 0 3.541 * * [simplify]: Extracting #2: cost 7 inf + 0 3.541 * * [simplify]: Extracting #3: cost 10 inf + 0 3.541 * * [simplify]: Extracting #4: cost 14 inf + 0 3.541 * * [simplify]: Extracting #5: cost 10 inf + 84 3.541 * * [simplify]: Extracting #6: cost 8 inf + 166 3.541 * * [simplify]: Extracting #7: cost 4 inf + 854 3.542 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.542 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.543 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 3.543 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 3.543 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 3.543 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 3.544 * * [simplify]: iters left: 6 (7 enodes) 3.547 * * [simplify]: iters left: 5 (22 enodes) 3.553 * * [simplify]: Extracting #0: cost 1 inf + 0 3.553 * * [simplify]: Extracting #1: cost 3 inf + 0 3.553 * * [simplify]: Extracting #2: cost 5 inf + 0 3.553 * * [simplify]: Extracting #3: cost 8 inf + 0 3.553 * * [simplify]: Extracting #4: cost 12 inf + 0 3.553 * * [simplify]: Extracting #5: cost 10 inf + 2 3.553 * * [simplify]: Extracting #6: cost 1 inf + 936 3.554 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.554 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 3.554 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 3.554 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 3.555 * [simplify]: Simplifying (sqrt 1) 3.555 * * [simplify]: iters left: 1 (2 enodes) 3.558 * * [simplify]: Extracting #0: cost 1 inf + 0 3.558 * * [simplify]: Extracting #1: cost 0 inf + 1 3.558 * [simplify]: Simplified to 1 3.558 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re))))) 3.559 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 3.559 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 3.559 * * [simplify]: iters left: 6 (9 enodes) 3.566 * * [simplify]: iters left: 5 (45 enodes) 3.587 * * [simplify]: iters left: 4 (100 enodes) 3.962 * * [simplify]: iters left: 3 (201 enodes) 4.041 * * [simplify]: iters left: 2 (406 enodes) 4.223 * * [simplify]: Extracting #0: cost 1 inf + 0 4.223 * * [simplify]: Extracting #1: cost 3 inf + 0 4.223 * * [simplify]: Extracting #2: cost 6 inf + 0 4.223 * * [simplify]: Extracting #3: cost 80 inf + 0 4.223 * * [simplify]: Extracting #4: cost 189 inf + 460 4.224 * * [simplify]: Extracting #5: cost 168 inf + 4664 4.227 * * [simplify]: Extracting #6: cost 84 inf + 34209 4.232 * * [simplify]: Extracting #7: cost 2 inf + 72608 4.238 * * [simplify]: Extracting #8: cost 0 inf + 73363 4.246 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 4.246 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 4.247 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 4.247 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.247 * * [simplify]: iters left: 6 (8 enodes) 4.251 * * [simplify]: iters left: 5 (37 enodes) 4.265 * * [simplify]: iters left: 4 (67 enodes) 4.289 * * [simplify]: iters left: 3 (123 enodes) 4.319 * * [simplify]: iters left: 2 (278 enodes) 4.436 * * [simplify]: Extracting #0: cost 1 inf + 0 4.436 * * [simplify]: Extracting #1: cost 3 inf + 0 4.436 * * [simplify]: Extracting #2: cost 50 inf + 0 4.437 * * [simplify]: Extracting #3: cost 150 inf + 0 4.439 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.447 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.459 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.474 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.488 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.488 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re))))) 4.488 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 4.488 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.488 * * [simplify]: iters left: 4 (5 enodes) 4.491 * * [simplify]: iters left: 3 (16 enodes) 4.495 * * [simplify]: Extracting #0: cost 1 inf + 0 4.495 * * [simplify]: Extracting #1: cost 4 inf + 0 4.495 * * [simplify]: Extracting #2: cost 8 inf + 0 4.496 * * [simplify]: Extracting #3: cost 4 inf + 84 4.496 * * [simplify]: Extracting #4: cost 0 inf + 410 4.496 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.496 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re))))) 4.496 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 4.496 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 4.497 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.497 * * [simplify]: iters left: 5 (6 enodes) 4.499 * * [simplify]: iters left: 4 (19 enodes) 4.504 * * [simplify]: Extracting #0: cost 1 inf + 0 4.504 * * [simplify]: Extracting #1: cost 3 inf + 0 4.504 * * [simplify]: Extracting #2: cost 6 inf + 0 4.504 * * [simplify]: Extracting #3: cost 10 inf + 0 4.505 * * [simplify]: Extracting #4: cost 6 inf + 84 4.505 * * [simplify]: Extracting #5: cost 0 inf + 734 4.505 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.505 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re))))) 4.505 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 4.505 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 4.505 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 4.506 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 4.506 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 4.506 * * [simplify]: iters left: 6 (8 enodes) 4.510 * * [simplify]: iters left: 5 (26 enodes) 4.519 * * [simplify]: Extracting #0: cost 1 inf + 0 4.519 * * [simplify]: Extracting #1: cost 4 inf + 0 4.519 * * [simplify]: Extracting #2: cost 7 inf + 0 4.519 * * [simplify]: Extracting #3: cost 10 inf + 0 4.519 * * [simplify]: Extracting #4: cost 14 inf + 0 4.519 * * [simplify]: Extracting #5: cost 10 inf + 84 4.519 * * [simplify]: Extracting #6: cost 8 inf + 166 4.519 * * [simplify]: Extracting #7: cost 4 inf + 854 4.520 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.520 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.521 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.521 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.522 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 4.523 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.523 * * [simplify]: iters left: 6 (7 enodes) 4.526 * * [simplify]: iters left: 5 (22 enodes) 4.533 * * [simplify]: Extracting #0: cost 1 inf + 0 4.533 * * [simplify]: Extracting #1: cost 3 inf + 0 4.533 * * [simplify]: Extracting #2: cost 5 inf + 0 4.533 * * [simplify]: Extracting #3: cost 8 inf + 0 4.533 * * [simplify]: Extracting #4: cost 12 inf + 0 4.533 * * [simplify]: Extracting #5: cost 10 inf + 2 4.533 * * [simplify]: Extracting #6: cost 1 inf + 936 4.534 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.534 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.534 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.535 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 4.535 * [simplify]: Simplifying (sqrt 1) 4.535 * * [simplify]: iters left: 1 (2 enodes) 4.538 * * [simplify]: Extracting #0: cost 1 inf + 0 4.538 * * [simplify]: Extracting #1: cost 0 inf + 1 4.538 * [simplify]: Simplified to 1 4.538 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.539 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 4.539 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 4.539 * * [simplify]: iters left: 6 (9 enodes) 4.545 * * [simplify]: iters left: 5 (45 enodes) 4.567 * * [simplify]: iters left: 4 (100 enodes) 4.614 * * [simplify]: iters left: 3 (201 enodes) 4.668 * * [simplify]: iters left: 2 (406 enodes) 4.792 * * [simplify]: Extracting #0: cost 1 inf + 0 4.792 * * [simplify]: Extracting #1: cost 3 inf + 0 4.792 * * [simplify]: Extracting #2: cost 6 inf + 0 4.792 * * [simplify]: Extracting #3: cost 80 inf + 0 4.792 * * [simplify]: Extracting #4: cost 189 inf + 460 4.793 * * [simplify]: Extracting #5: cost 168 inf + 4664 4.796 * * [simplify]: Extracting #6: cost 84 inf + 34209 4.803 * * [simplify]: Extracting #7: cost 2 inf + 72608 4.815 * * [simplify]: Extracting #8: cost 0 inf + 73363 4.826 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 4.826 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.826 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 4.826 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.827 * * [simplify]: iters left: 6 (8 enodes) 4.830 * * [simplify]: iters left: 5 (37 enodes) 4.837 * * [simplify]: iters left: 4 (67 enodes) 4.851 * * [simplify]: iters left: 3 (123 enodes) 4.889 * * [simplify]: iters left: 2 (278 enodes) 5.023 * * [simplify]: Extracting #0: cost 1 inf + 0 5.023 * * [simplify]: Extracting #1: cost 3 inf + 0 5.023 * * [simplify]: Extracting #2: cost 50 inf + 0 5.024 * * [simplify]: Extracting #3: cost 150 inf + 0 5.025 * * [simplify]: Extracting #4: cost 194 inf + 1180 5.029 * * [simplify]: Extracting #5: cost 123 inf + 12421 5.046 * * [simplify]: Extracting #6: cost 12 inf + 33804 5.061 * * [simplify]: Extracting #7: cost 0 inf + 36129 5.075 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 5.075 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 5.076 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 5.076 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.076 * * [simplify]: iters left: 4 (5 enodes) 5.078 * * [simplify]: iters left: 3 (16 enodes) 5.083 * * [simplify]: Extracting #0: cost 1 inf + 0 5.083 * * [simplify]: Extracting #1: cost 4 inf + 0 5.083 * * [simplify]: Extracting #2: cost 8 inf + 0 5.083 * * [simplify]: Extracting #3: cost 4 inf + 84 5.083 * * [simplify]: Extracting #4: cost 0 inf + 410 5.084 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.084 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 5.084 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 5.084 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 5.084 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.084 * * [simplify]: iters left: 5 (6 enodes) 5.087 * * [simplify]: iters left: 4 (19 enodes) 5.093 * * [simplify]: Extracting #0: cost 1 inf + 0 5.093 * * [simplify]: Extracting #1: cost 3 inf + 0 5.093 * * [simplify]: Extracting #2: cost 6 inf + 0 5.093 * * [simplify]: Extracting #3: cost 10 inf + 0 5.093 * * [simplify]: Extracting #4: cost 6 inf + 84 5.094 * * [simplify]: Extracting #5: cost 0 inf + 734 5.094 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.094 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 5.094 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 5.094 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 5.094 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 5.095 * [simplify]: Simplifying (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) 5.095 * * [simplify]: iters left: 6 (11 enodes) 5.100 * * [simplify]: iters left: 5 (36 enodes) 5.110 * * [simplify]: iters left: 4 (47 enodes) 5.125 * * [simplify]: iters left: 3 (65 enodes) 5.147 * * [simplify]: iters left: 2 (102 enodes) 5.184 * * [simplify]: iters left: 1 (197 enodes) 5.244 * * [simplify]: Extracting #0: cost 1 inf + 0 5.245 * * [simplify]: Extracting #1: cost 46 inf + 0 5.245 * * [simplify]: Extracting #2: cost 121 inf + 1 5.245 * * [simplify]: Extracting #3: cost 150 inf + 4 5.246 * * [simplify]: Extracting #4: cost 149 inf + 566 5.247 * * [simplify]: Extracting #5: cost 151 inf + 605 5.247 * * [simplify]: Extracting #6: cost 142 inf + 1529 5.248 * * [simplify]: Extracting #7: cost 131 inf + 4324 5.250 * * [simplify]: Extracting #8: cost 105 inf + 15009 5.260 * * [simplify]: Extracting #9: cost 25 inf + 72852 5.279 * * [simplify]: Extracting #10: cost 0 inf + 94174 5.297 * * [simplify]: Extracting #11: cost 0 inf + 92661 5.314 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 5.315 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 5.315 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 5.315 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 5.316 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 5.316 * * [simplify]: iters left: 6 (9 enodes) 5.318 * * [simplify]: iters left: 5 (29 enodes) 5.323 * * [simplify]: Extracting #0: cost 1 inf + 0 5.323 * * [simplify]: Extracting #1: cost 4 inf + 0 5.323 * * [simplify]: Extracting #2: cost 8 inf + 0 5.323 * * [simplify]: Extracting #3: cost 9 inf + 1 5.323 * * [simplify]: Extracting #4: cost 11 inf + 42 5.323 * * [simplify]: Extracting #5: cost 12 inf + 124 5.323 * * [simplify]: Extracting #6: cost 8 inf + 248 5.323 * * [simplify]: Extracting #7: cost 5 inf + 654 5.323 * * [simplify]: Extracting #8: cost 2 inf + 1300 5.324 * * [simplify]: Extracting #9: cost 0 inf + 1784 5.324 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 5.324 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.324 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 5.324 * * [simplify]: iters left: 6 (9 enodes) 5.326 * * [simplify]: iters left: 5 (30 enodes) 5.331 * * [simplify]: iters left: 4 (33 enodes) 5.336 * * [simplify]: Extracting #0: cost 1 inf + 0 5.336 * * [simplify]: Extracting #1: cost 5 inf + 0 5.336 * * [simplify]: Extracting #2: cost 10 inf + 0 5.336 * * [simplify]: Extracting #3: cost 11 inf + 1 5.336 * * [simplify]: Extracting #4: cost 10 inf + 245 5.336 * * [simplify]: Extracting #5: cost 12 inf + 286 5.336 * * [simplify]: Extracting #6: cost 8 inf + 410 5.336 * * [simplify]: Extracting #7: cost 6 inf + 694 5.336 * * [simplify]: Extracting #8: cost 1 inf + 1744 5.337 * * [simplify]: Extracting #9: cost 0 inf + 1946 5.337 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 5.337 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.337 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 5.337 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 5.337 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 5.338 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.338 * * [simplify]: iters left: 5 (6 enodes) 5.339 * * [simplify]: iters left: 4 (19 enodes) 5.342 * * [simplify]: Extracting #0: cost 1 inf + 0 5.342 * * [simplify]: Extracting #1: cost 3 inf + 0 5.342 * * [simplify]: Extracting #2: cost 6 inf + 0 5.342 * * [simplify]: Extracting #3: cost 10 inf + 0 5.342 * * [simplify]: Extracting #4: cost 6 inf + 84 5.342 * * [simplify]: Extracting #5: cost 0 inf + 734 5.342 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.342 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re))))) 5.343 * [simplify]: Simplifying (+ 1/2 1/2) 5.343 * * [simplify]: iters left: 2 (2 enodes) 5.344 * * [simplify]: iters left: 1 (7 enodes) 5.346 * * [simplify]: Extracting #0: cost 1 inf + 0 5.346 * * [simplify]: Extracting #1: cost 0 inf + 1 5.346 * [simplify]: Simplified to 1 5.346 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.346 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 5.346 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.346 * * [simplify]: iters left: 5 (6 enodes) 5.348 * * [simplify]: iters left: 4 (19 enodes) 5.351 * * [simplify]: Extracting #0: cost 1 inf + 0 5.351 * * [simplify]: Extracting #1: cost 3 inf + 0 5.351 * * [simplify]: Extracting #2: cost 6 inf + 0 5.351 * * [simplify]: Extracting #3: cost 10 inf + 0 5.351 * * [simplify]: Extracting #4: cost 6 inf + 84 5.351 * * [simplify]: Extracting #5: cost 0 inf + 734 5.351 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.351 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re))))) 5.351 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 5.351 * * [simplify]: iters left: 4 (5 enodes) 5.356 * * [simplify]: iters left: 3 (18 enodes) 5.363 * * [simplify]: iters left: 2 (20 enodes) 5.368 * * [simplify]: Extracting #0: cost 1 inf + 0 5.368 * * [simplify]: Extracting #1: cost 0 inf + 1 5.368 * [simplify]: Simplified to 1 5.368 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.368 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 5.369 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 5.369 * * [simplify]: iters left: 6 (7 enodes) 5.372 * * [simplify]: iters left: 5 (22 enodes) 5.377 * * [simplify]: Extracting #0: cost 1 inf + 0 5.377 * * [simplify]: Extracting #1: cost 3 inf + 0 5.377 * * [simplify]: Extracting #2: cost 5 inf + 0 5.377 * * [simplify]: Extracting #3: cost 8 inf + 0 5.377 * * [simplify]: Extracting #4: cost 12 inf + 0 5.377 * * [simplify]: Extracting #5: cost 10 inf + 2 5.378 * * [simplify]: Extracting #6: cost 1 inf + 936 5.378 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.378 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 5.378 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 5.379 * [simplify]: Simplifying (+ 1 1) 5.379 * * [simplify]: iters left: 2 (2 enodes) 5.381 * * [simplify]: iters left: 1 (9 enodes) 5.384 * * [simplify]: Extracting #0: cost 1 inf + 0 5.384 * * [simplify]: Extracting #1: cost 0 inf + 1 5.384 * [simplify]: Simplified to 2 5.384 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 5.384 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 5.384 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.385 * * [simplify]: iters left: 4 (5 enodes) 5.386 * * [simplify]: iters left: 3 (16 enodes) 5.388 * * [simplify]: Extracting #0: cost 1 inf + 0 5.388 * * [simplify]: Extracting #1: cost 4 inf + 0 5.388 * * [simplify]: Extracting #2: cost 8 inf + 0 5.388 * * [simplify]: Extracting #3: cost 4 inf + 84 5.388 * * [simplify]: Extracting #4: cost 0 inf + 410 5.388 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.389 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re))))) 5.389 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 5.389 * * [simplify]: iters left: 4 (4 enodes) 5.392 * * [simplify]: iters left: 3 (13 enodes) 5.395 * * [simplify]: Extracting #0: cost 1 inf + 0 5.395 * * [simplify]: Extracting #1: cost 0 inf + 1 5.395 * [simplify]: Simplified to 1/2 5.395 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.395 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 5.395 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.395 * * [simplify]: iters left: 4 (5 enodes) 5.396 * * [simplify]: iters left: 3 (16 enodes) 5.399 * * [simplify]: Extracting #0: cost 1 inf + 0 5.399 * * [simplify]: Extracting #1: cost 4 inf + 0 5.399 * * [simplify]: Extracting #2: cost 8 inf + 0 5.399 * * [simplify]: Extracting #3: cost 4 inf + 84 5.399 * * [simplify]: Extracting #4: cost 0 inf + 410 5.399 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.399 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re))))) 5.399 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 5.399 * * [simplify]: iters left: 6 (7 enodes) 5.406 * * [simplify]: iters left: 5 (28 enodes) 5.412 * * [simplify]: iters left: 4 (32 enodes) 5.418 * * [simplify]: Extracting #0: cost 1 inf + 0 5.418 * * [simplify]: Extracting #1: cost 0 inf + 1 5.418 * [simplify]: Simplified to 1/2 5.418 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.418 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 5.419 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.419 * * [simplify]: iters left: 5 (6 enodes) 5.422 * * [simplify]: iters left: 4 (19 enodes) 5.427 * * [simplify]: Extracting #0: cost 1 inf + 0 5.427 * * [simplify]: Extracting #1: cost 3 inf + 0 5.427 * * [simplify]: Extracting #2: cost 6 inf + 0 5.428 * * [simplify]: Extracting #3: cost 10 inf + 0 5.428 * * [simplify]: Extracting #4: cost 6 inf + 84 5.428 * * [simplify]: Extracting #5: cost 0 inf + 734 5.428 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.428 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re))))) 5.429 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 5.429 * * [simplify]: iters left: 4 (5 enodes) 5.436 * * [simplify]: iters left: 3 (18 enodes) 5.442 * * [simplify]: iters left: 2 (20 enodes) 5.448 * * [simplify]: Extracting #0: cost 1 inf + 0 5.448 * * [simplify]: Extracting #1: cost 0 inf + 1 5.448 * [simplify]: Simplified to 1 5.448 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.448 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 5.448 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 5.449 * * [simplify]: iters left: 5 (6 enodes) 5.451 * * [simplify]: iters left: 4 (19 enodes) 5.458 * * [simplify]: Extracting #0: cost 1 inf + 0 5.458 * * [simplify]: Extracting #1: cost 3 inf + 0 5.458 * * [simplify]: Extracting #2: cost 6 inf + 0 5.458 * * [simplify]: Extracting #3: cost 10 inf + 0 5.458 * * [simplify]: Extracting #4: cost 6 inf + 84 5.458 * * [simplify]: Extracting #5: cost 0 inf + 734 5.458 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.458 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re))))) 5.459 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 5.459 * * [simplify]: iters left: 4 (4 enodes) 5.463 * * [simplify]: iters left: 3 (15 enodes) 5.468 * * [simplify]: iters left: 2 (17 enodes) 5.473 * * [simplify]: Extracting #0: cost 1 inf + 0 5.473 * * [simplify]: Extracting #1: cost 0 inf + 1 5.473 * [simplify]: Simplified to 1 5.473 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.473 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 5.474 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.474 * * [simplify]: iters left: 4 (5 enodes) 5.476 * * [simplify]: iters left: 3 (16 enodes) 5.481 * * [simplify]: Extracting #0: cost 1 inf + 0 5.481 * * [simplify]: Extracting #1: cost 4 inf + 0 5.481 * * [simplify]: Extracting #2: cost 8 inf + 0 5.481 * * [simplify]: Extracting #3: cost 4 inf + 84 5.481 * * [simplify]: Extracting #4: cost 0 inf + 410 5.481 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.481 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re))))) 5.482 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 5.482 * * [simplify]: iters left: 6 (7 enodes) 5.490 * * [simplify]: iters left: 5 (28 enodes) 5.499 * * [simplify]: iters left: 4 (32 enodes) 5.504 * * [simplify]: Extracting #0: cost 1 inf + 0 5.505 * * [simplify]: Extracting #1: cost 0 inf + 1 5.505 * [simplify]: Simplified to 1/2 5.505 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.505 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 5.505 * [simplify]: Simplifying (+ (* re re) (* im im)) 5.505 * * [simplify]: iters left: 4 (5 enodes) 5.506 * * [simplify]: iters left: 3 (16 enodes) 5.509 * * [simplify]: Extracting #0: cost 1 inf + 0 5.509 * * [simplify]: Extracting #1: cost 4 inf + 0 5.509 * * [simplify]: Extracting #2: cost 8 inf + 0 5.509 * * [simplify]: Extracting #3: cost 4 inf + 84 5.509 * * [simplify]: Extracting #4: cost 0 inf + 410 5.509 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.509 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re))))) 5.509 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.509 * * [simplify]: iters left: 6 (5 enodes) 5.513 * * [simplify]: iters left: 5 (22 enodes) 5.519 * * [simplify]: iters left: 4 (26 enodes) 5.526 * * [simplify]: Extracting #0: cost 1 inf + 0 5.527 * * [simplify]: Extracting #1: cost 0 inf + 1 5.527 * [simplify]: Simplified to 1/2 5.527 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.527 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 5.527 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 5.527 * * [simplify]: iters left: 6 (7 enodes) 5.531 * * [simplify]: iters left: 5 (20 enodes) 5.536 * * [simplify]: iters left: 4 (21 enodes) 5.541 * * [simplify]: Extracting #0: cost 1 inf + 0 5.541 * * [simplify]: Extracting #1: cost 5 inf + 0 5.541 * * [simplify]: Extracting #2: cost 10 inf + 0 5.541 * * [simplify]: Extracting #3: cost 6 inf + 84 5.541 * * [simplify]: Extracting #4: cost 2 inf + 410 5.542 * * [simplify]: Extracting #5: cost 0 inf + 734 5.542 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.542 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.542 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 5.542 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 5.542 * * [simplify]: iters left: 6 (8 enodes) 5.544 * * [simplify]: iters left: 5 (23 enodes) 5.549 * * [simplify]: iters left: 4 (24 enodes) 5.553 * * [simplify]: Extracting #0: cost 1 inf + 0 5.553 * * [simplify]: Extracting #1: cost 4 inf + 0 5.553 * * [simplify]: Extracting #2: cost 8 inf + 0 5.553 * * [simplify]: Extracting #3: cost 12 inf + 0 5.553 * * [simplify]: Extracting #4: cost 10 inf + 2 5.553 * * [simplify]: Extracting #5: cost 3 inf + 572 5.553 * * [simplify]: Extracting #6: cost 0 inf + 1138 5.553 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 5.553 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 5.554 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 5.554 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.554 * * [simplify]: iters left: 6 (6 enodes) 5.555 * * [simplify]: iters left: 5 (25 enodes) 5.560 * * [simplify]: iters left: 4 (55 enodes) 5.574 * * [simplify]: iters left: 3 (127 enodes) 5.599 * * [simplify]: iters left: 2 (201 enodes) 5.640 * * [simplify]: iters left: 1 (291 enodes) 5.741 * * [simplify]: Extracting #0: cost 1 inf + 0 5.741 * * [simplify]: Extracting #1: cost 13 inf + 0 5.741 * * [simplify]: Extracting #2: cost 56 inf + 0 5.742 * * [simplify]: Extracting #3: cost 73 inf + 491 5.743 * * [simplify]: Extracting #4: cost 38 inf + 4450 5.745 * * [simplify]: Extracting #5: cost 2 inf + 10720 5.748 * * [simplify]: Extracting #6: cost 0 inf + 11044 5.754 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.754 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re))))) 5.754 * [simplify]: Simplifying (/ 1/2 2) 5.755 * * [simplify]: iters left: 2 (3 enodes) 5.758 * * [simplify]: iters left: 1 (10 enodes) 5.761 * * [simplify]: Extracting #0: cost 1 inf + 0 5.762 * * [simplify]: Extracting #1: cost 0 inf + 1 5.762 * [simplify]: Simplified to 1/4 5.762 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 5.762 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 5.762 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 5.762 * * [simplify]: iters left: 6 (7 enodes) 5.766 * * [simplify]: iters left: 5 (20 enodes) 5.771 * * [simplify]: iters left: 4 (21 enodes) 5.777 * * [simplify]: Extracting #0: cost 1 inf + 0 5.777 * * [simplify]: Extracting #1: cost 5 inf + 0 5.777 * * [simplify]: Extracting #2: cost 10 inf + 0 5.777 * * [simplify]: Extracting #3: cost 6 inf + 84 5.777 * * [simplify]: Extracting #4: cost 2 inf + 410 5.778 * * [simplify]: Extracting #5: cost 0 inf + 734 5.778 * [simplify]: Simplified to (+ (* re re) (* im im)) 5.778 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 5.779 * [simplify]: Simplifying (/ 1 2) 5.779 * * [simplify]: iters left: 2 (3 enodes) 5.782 * * [simplify]: iters left: 1 (12 enodes) 5.787 * * [simplify]: Extracting #0: cost 1 inf + 0 5.787 * * [simplify]: Extracting #1: cost 0 inf + 1 5.787 * [simplify]: Simplified to 1/2 5.787 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 5.787 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 5.788 * [simplify]: Simplifying (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.788 * * [simplify]: iters left: 6 (6 enodes) 5.791 * * [simplify]: iters left: 5 (25 enodes) 5.801 * * [simplify]: iters left: 4 (55 enodes) 5.822 * * [simplify]: iters left: 3 (127 enodes) 5.870 * * [simplify]: iters left: 2 (201 enodes) 5.922 * * [simplify]: iters left: 1 (291 enodes) 5.986 * * [simplify]: Extracting #0: cost 1 inf + 0 5.986 * * [simplify]: Extracting #1: cost 13 inf + 0 5.987 * * [simplify]: Extracting #2: cost 56 inf + 0 5.987 * * [simplify]: Extracting #3: cost 73 inf + 491 5.988 * * [simplify]: Extracting #4: cost 38 inf + 4450 5.991 * * [simplify]: Extracting #5: cost 2 inf + 10720 5.994 * * [simplify]: Extracting #6: cost 0 inf + 11044 5.996 * [simplify]: Simplified to (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 5.997 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re))))) 5.997 * [simplify]: Simplifying (/ (/ 1 2) 2) 5.997 * * [simplify]: iters left: 4 (4 enodes) 6.000 * * [simplify]: iters left: 3 (19 enodes) 6.003 * * [simplify]: iters left: 2 (23 enodes) 6.010 * * [simplify]: Extracting #0: cost 1 inf + 0 6.010 * * [simplify]: Extracting #1: cost 0 inf + 1 6.010 * [simplify]: Simplified to 1/4 6.010 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 1/4) re))))) 6.010 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 6.010 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 6.011 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 6.011 * * [simplify]: iters left: 6 (7 enodes) 6.014 * * [simplify]: iters left: 5 (22 enodes) 6.020 * * [simplify]: Extracting #0: cost 1 inf + 0 6.020 * * [simplify]: Extracting #1: cost 3 inf + 0 6.020 * * [simplify]: Extracting #2: cost 5 inf + 0 6.020 * * [simplify]: Extracting #3: cost 8 inf + 0 6.020 * * [simplify]: Extracting #4: cost 12 inf + 0 6.020 * * [simplify]: Extracting #5: cost 10 inf + 2 6.021 * * [simplify]: Extracting #6: cost 1 inf + 936 6.021 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.022 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 6.022 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re))))) 6.022 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 6.022 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 6.022 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 6.022 * * [simplify]: iters left: 6 (9 enodes) 6.026 * * [simplify]: iters left: 5 (28 enodes) 6.035 * * [simplify]: Extracting #0: cost 1 inf + 0 6.035 * * [simplify]: Extracting #1: cost 3 inf + 0 6.035 * * [simplify]: Extracting #2: cost 5 inf + 0 6.035 * * [simplify]: Extracting #3: cost 7 inf + 0 6.035 * * [simplify]: Extracting #4: cost 9 inf + 0 6.035 * * [simplify]: Extracting #5: cost 12 inf + 0 6.035 * * [simplify]: Extracting #6: cost 16 inf + 0 6.035 * * [simplify]: Extracting #7: cost 12 inf + 84 6.035 * * [simplify]: Extracting #8: cost 10 inf + 166 6.035 * * [simplify]: Extracting #9: cost 7 inf + 572 6.036 * * [simplify]: Extracting #10: cost 4 inf + 1208 6.036 * * [simplify]: Extracting #11: cost 1 inf + 1994 6.037 * * [simplify]: Extracting #12: cost 0 inf + 2306 6.038 * [simplify]: Simplified to (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) 6.038 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 6.038 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 6.038 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 6.038 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 6.038 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) 6.039 * * [simplify]: iters left: 6 (10 enodes) 6.044 * * [simplify]: iters left: 5 (36 enodes) 6.059 * * [simplify]: iters left: 4 (47 enodes) 6.077 * * [simplify]: iters left: 3 (79 enodes) 6.097 * * [simplify]: iters left: 2 (163 enodes) 6.144 * * [simplify]: iters left: 1 (302 enodes) 6.244 * * [simplify]: Extracting #0: cost 1 inf + 0 6.244 * * [simplify]: Extracting #1: cost 36 inf + 0 6.245 * * [simplify]: Extracting #2: cost 130 inf + 2 6.245 * * [simplify]: Extracting #3: cost 139 inf + 703 6.248 * * [simplify]: Extracting #4: cost 84 inf + 17053 6.255 * * [simplify]: Extracting #5: cost 11 inf + 50303 6.266 * * [simplify]: Extracting #6: cost 0 inf + 56963 6.276 * [simplify]: Simplified to (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) 6.276 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) re))))) 6.276 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 6.276 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 6.276 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 6.276 * [simplify]: Simplifying (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 6.277 * * [simplify]: iters left: 6 (7 enodes) 6.280 * * [simplify]: iters left: 5 (20 enodes) 6.285 * * [simplify]: iters left: 4 (21 enodes) 6.291 * * [simplify]: Extracting #0: cost 1 inf + 0 6.291 * * [simplify]: Extracting #1: cost 5 inf + 0 6.291 * * [simplify]: Extracting #2: cost 10 inf + 0 6.291 * * [simplify]: Extracting #3: cost 6 inf + 84 6.292 * * [simplify]: Extracting #4: cost 2 inf + 410 6.292 * * [simplify]: Extracting #5: cost 0 inf + 734 6.292 * [simplify]: Simplified to (+ (* re re) (* im im)) 6.292 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 6.292 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 6.292 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 6.293 * [simplify]: Simplifying (+ (* re re) (* im im)) 6.293 * * [simplify]: iters left: 4 (5 enodes) 6.295 * * [simplify]: iters left: 3 (16 enodes) 6.298 * * [simplify]: Extracting #0: cost 1 inf + 0 6.298 * * [simplify]: Extracting #1: cost 4 inf + 0 6.298 * * [simplify]: Extracting #2: cost 8 inf + 0 6.298 * * [simplify]: Extracting #3: cost 4 inf + 84 6.298 * * [simplify]: Extracting #4: cost 0 inf + 410 6.298 * [simplify]: Simplified to (+ (* re re) (* im im)) 6.298 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 6.298 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 6.299 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 6.299 * * [simplify]: iters left: 6 (11 enodes) 6.302 * * [simplify]: iters left: 5 (49 enodes) 6.314 * * [simplify]: iters left: 4 (105 enodes) 6.359 * * [simplify]: iters left: 3 (201 enodes) 6.413 * * [simplify]: iters left: 2 (396 enodes) 6.552 * * [simplify]: Extracting #0: cost 1 inf + 0 6.552 * * [simplify]: Extracting #1: cost 4 inf + 0 6.552 * * [simplify]: Extracting #2: cost 8 inf + 0 6.553 * * [simplify]: Extracting #3: cost 73 inf + 0 6.554 * * [simplify]: Extracting #4: cost 167 inf + 671 6.556 * * [simplify]: Extracting #5: cost 131 inf + 12518 6.564 * * [simplify]: Extracting #6: cost 40 inf + 47480 6.574 * * [simplify]: Extracting #7: cost 3 inf + 63925 6.585 * * [simplify]: Extracting #8: cost 0 inf + 64852 6.592 * [simplify]: Simplified to (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) 6.592 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 6.592 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 6.592 * * [simplify]: iters left: 6 (12 enodes) 6.596 * * [simplify]: iters left: 5 (56 enodes) 6.607 * * [simplify]: iters left: 4 (124 enodes) 6.637 * * [simplify]: iters left: 3 (239 enodes) 6.711 * * [simplify]: iters left: 2 (372 enodes) 6.857 * * [simplify]: Extracting #0: cost 1 inf + 0 6.857 * * [simplify]: Extracting #1: cost 4 inf + 0 6.857 * * [simplify]: Extracting #2: cost 24 inf + 0 6.858 * * [simplify]: Extracting #3: cost 150 inf + 0 6.860 * * [simplify]: Extracting #4: cost 210 inf + 1501 6.866 * * [simplify]: Extracting #5: cost 96 inf + 17493 6.878 * * [simplify]: Extracting #6: cost 7 inf + 34019 6.892 * * [simplify]: Extracting #7: cost 0 inf + 35684 6.906 * [simplify]: Simplified to (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) 6.906 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) re))))) 6.907 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 6.907 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 6.907 * * [simplify]: iters left: 6 (16 enodes) 6.917 * * [simplify]: iters left: 5 (78 enodes) 6.942 * * [simplify]: iters left: 4 (137 enodes) 6.985 * * [simplify]: iters left: 3 (277 enodes) 7.101 * * [simplify]: Extracting #0: cost 1 inf + 0 7.101 * * [simplify]: Extracting #1: cost 4 inf + 0 7.101 * * [simplify]: Extracting #2: cost 8 inf + 0 7.101 * * [simplify]: Extracting #3: cost 12 inf + 0 7.101 * * [simplify]: Extracting #4: cost 33 inf + 0 7.101 * * [simplify]: Extracting #5: cost 117 inf + 0 7.102 * * [simplify]: Extracting #6: cost 150 inf + 2842 7.104 * * [simplify]: Extracting #7: cost 67 inf + 16237 7.108 * * [simplify]: Extracting #8: cost 16 inf + 30113 7.113 * * [simplify]: Extracting #9: cost 0 inf + 36484 7.118 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) 7.118 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 7.118 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 7.118 * * [simplify]: iters left: 6 (15 enodes) 7.122 * * [simplify]: iters left: 5 (73 enodes) 7.137 * * [simplify]: iters left: 4 (150 enodes) 7.186 * * [simplify]: iters left: 3 (266 enodes) 7.252 * * [simplify]: iters left: 2 (422 enodes) 7.385 * * [simplify]: Extracting #0: cost 1 inf + 0 7.385 * * [simplify]: Extracting #1: cost 4 inf + 0 7.385 * * [simplify]: Extracting #2: cost 8 inf + 0 7.385 * * [simplify]: Extracting #3: cost 12 inf + 0 7.386 * * [simplify]: Extracting #4: cost 70 inf + 0 7.387 * * [simplify]: Extracting #5: cost 208 inf + 0 7.389 * * [simplify]: Extracting #6: cost 210 inf + 6208 7.395 * * [simplify]: Extracting #7: cost 55 inf + 31941 7.404 * * [simplify]: Extracting #8: cost 3 inf + 42328 7.414 * * [simplify]: Extracting #9: cost 0 inf + 43084 7.430 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) 7.430 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))))) (* (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 7.430 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 7.431 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 7.431 * * [simplify]: iters left: 6 (16 enodes) 7.437 * * [simplify]: iters left: 5 (78 enodes) 7.455 * * [simplify]: iters left: 4 (137 enodes) 7.509 * * [simplify]: iters left: 3 (280 enodes) 7.614 * * [simplify]: Extracting #0: cost 1 inf + 0 7.614 * * [simplify]: Extracting #1: cost 4 inf + 0 7.614 * * [simplify]: Extracting #2: cost 8 inf + 0 7.614 * * [simplify]: Extracting #3: cost 12 inf + 0 7.615 * * [simplify]: Extracting #4: cost 33 inf + 0 7.615 * * [simplify]: Extracting #5: cost 117 inf + 0 7.616 * * [simplify]: Extracting #6: cost 150 inf + 1705 7.622 * * [simplify]: Extracting #7: cost 69 inf + 14265 7.629 * * [simplify]: Extracting #8: cost 29 inf + 24436 7.639 * * [simplify]: Extracting #9: cost 1 inf + 35930 7.648 * * [simplify]: Extracting #10: cost 0 inf + 36393 7.661 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 7.661 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re))))) 7.662 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 7.662 * * [simplify]: iters left: 6 (15 enodes) 7.667 * * [simplify]: iters left: 5 (73 enodes) 7.681 * * [simplify]: iters left: 4 (150 enodes) 7.725 * * [simplify]: iters left: 3 (267 enodes) 7.814 * * [simplify]: iters left: 2 (423 enodes) 7.989 * * [simplify]: Extracting #0: cost 1 inf + 0 7.990 * * [simplify]: Extracting #1: cost 4 inf + 0 7.990 * * [simplify]: Extracting #2: cost 8 inf + 0 7.990 * * [simplify]: Extracting #3: cost 12 inf + 0 7.990 * * [simplify]: Extracting #4: cost 70 inf + 0 7.991 * * [simplify]: Extracting #5: cost 208 inf + 0 7.992 * * [simplify]: Extracting #6: cost 226 inf + 4062 7.997 * * [simplify]: Extracting #7: cost 89 inf + 25154 8.005 * * [simplify]: Extracting #8: cost 2 inf + 42460 8.014 * * [simplify]: Extracting #9: cost 0 inf + 42884 8.022 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) 8.022 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* im (* im im)) (* im (* im im))) (* (* (* re re) (* re re)) (* re re))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 8.022 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 8.023 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 8.023 * * [simplify]: iters left: 6 (10 enodes) 8.025 * * [simplify]: iters left: 5 (41 enodes) 8.033 * * [simplify]: iters left: 4 (72 enodes) 8.048 * * [simplify]: iters left: 3 (128 enodes) 8.104 * * [simplify]: iters left: 2 (283 enodes) 8.264 * * [simplify]: Extracting #0: cost 1 inf + 0 8.264 * * [simplify]: Extracting #1: cost 4 inf + 0 8.264 * * [simplify]: Extracting #2: cost 52 inf + 0 8.265 * * [simplify]: Extracting #3: cost 152 inf + 0 8.266 * * [simplify]: Extracting #4: cost 199 inf + 535 8.267 * * [simplify]: Extracting #5: cost 161 inf + 5103 8.275 * * [simplify]: Extracting #6: cost 30 inf + 30852 8.282 * * [simplify]: Extracting #7: cost 0 inf + 36613 8.296 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 8.296 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re))))) 8.296 * [simplify]: Simplifying (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) 8.297 * * [simplify]: iters left: 6 (8 enodes) 8.300 * * [simplify]: iters left: 5 (27 enodes) 8.309 * * [simplify]: iters left: 4 (41 enodes) 8.321 * * [simplify]: iters left: 3 (58 enodes) 8.340 * * [simplify]: iters left: 2 (99 enodes) 8.376 * * [simplify]: iters left: 1 (182 enodes) 8.434 * * [simplify]: Extracting #0: cost 1 inf + 0 8.434 * * [simplify]: Extracting #1: cost 4 inf + 0 8.434 * * [simplify]: Extracting #2: cost 25 inf + 0 8.434 * * [simplify]: Extracting #3: cost 59 inf + 0 8.434 * * [simplify]: Extracting #4: cost 51 inf + 412 8.435 * * [simplify]: Extracting #5: cost 18 inf + 3835 8.437 * * [simplify]: Extracting #6: cost 1 inf + 6149 8.438 * * [simplify]: Extracting #7: cost 0 inf + 6351 8.440 * [simplify]: Simplified to (sqrt (- (* re re) (* im im))) 8.440 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 8.440 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 8.440 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 8.441 * [simplify]: Simplifying (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 8.441 * * [simplify]: iters left: 6 (10 enodes) 8.443 * * [simplify]: iters left: 5 (35 enodes) 8.449 * * [simplify]: iters left: 4 (39 enodes) 8.456 * * [simplify]: iters left: 3 (50 enodes) 8.473 * * [simplify]: iters left: 2 (74 enodes) 8.503 * * [simplify]: iters left: 1 (122 enodes) 8.539 * * [simplify]: Extracting #0: cost 1 inf + 0 8.539 * * [simplify]: Extracting #1: cost 13 inf + 0 8.539 * * [simplify]: Extracting #2: cost 40 inf + 1 8.539 * * [simplify]: Extracting #3: cost 40 inf + 7 8.539 * * [simplify]: Extracting #4: cost 42 inf + 9 8.539 * * [simplify]: Extracting #5: cost 45 inf + 10 8.540 * * [simplify]: Extracting #6: cost 41 inf + 94 8.540 * * [simplify]: Extracting #7: cost 35 inf + 744 8.540 * * [simplify]: Extracting #8: cost 31 inf + 1752 8.541 * * [simplify]: Extracting #9: cost 12 inf + 11228 8.544 * * [simplify]: Extracting #10: cost 2 inf + 18297 8.547 * * [simplify]: Extracting #11: cost 0 inf + 19785 8.551 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.551 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.552 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.552 * * [simplify]: iters left: 6 (9 enodes) 8.556 * * [simplify]: iters left: 5 (28 enodes) 8.564 * * [simplify]: Extracting #0: cost 1 inf + 0 8.564 * * [simplify]: Extracting #1: cost 3 inf + 0 8.564 * * [simplify]: Extracting #2: cost 5 inf + 0 8.564 * * [simplify]: Extracting #3: cost 7 inf + 0 8.564 * * [simplify]: Extracting #4: cost 9 inf + 0 8.564 * * [simplify]: Extracting #5: cost 12 inf + 0 8.565 * * [simplify]: Extracting #6: cost 16 inf + 0 8.565 * * [simplify]: Extracting #7: cost 12 inf + 84 8.565 * * [simplify]: Extracting #8: cost 10 inf + 166 8.565 * * [simplify]: Extracting #9: cost 7 inf + 572 8.565 * * [simplify]: Extracting #10: cost 4 inf + 1218 8.565 * * [simplify]: Extracting #11: cost 1 inf + 2024 8.566 * * [simplify]: Extracting #12: cost 0 inf + 2346 8.566 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.566 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.566 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 8.566 * [simplify]: Simplifying (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 8.566 * * [simplify]: iters left: 6 (10 enodes) 8.569 * * [simplify]: iters left: 5 (30 enodes) 8.573 * * [simplify]: iters left: 4 (31 enodes) 8.577 * * [simplify]: Extracting #0: cost 1 inf + 0 8.577 * * [simplify]: Extracting #1: cost 4 inf + 0 8.577 * * [simplify]: Extracting #2: cost 7 inf + 0 8.577 * * [simplify]: Extracting #3: cost 9 inf + 0 8.578 * * [simplify]: Extracting #4: cost 12 inf + 0 8.578 * * [simplify]: Extracting #5: cost 16 inf + 0 8.578 * * [simplify]: Extracting #6: cost 12 inf + 84 8.578 * * [simplify]: Extracting #7: cost 10 inf + 166 8.578 * * [simplify]: Extracting #8: cost 8 inf + 450 8.578 * * [simplify]: Extracting #9: cost 3 inf + 1540 8.578 * * [simplify]: Extracting #10: cost 0 inf + 2346 8.579 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) 8.579 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.579 * [simplify]: Simplifying (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 8.579 * * [simplify]: iters left: 6 (9 enodes) 8.581 * * [simplify]: iters left: 5 (26 enodes) 8.585 * * [simplify]: iters left: 4 (27 enodes) 8.589 * * [simplify]: Extracting #0: cost 1 inf + 0 8.589 * * [simplify]: Extracting #1: cost 4 inf + 0 8.589 * * [simplify]: Extracting #2: cost 7 inf + 0 8.589 * * [simplify]: Extracting #3: cost 10 inf + 0 8.589 * * [simplify]: Extracting #4: cost 14 inf + 0 8.589 * * [simplify]: Extracting #5: cost 10 inf + 84 8.589 * * [simplify]: Extracting #6: cost 8 inf + 166 8.589 * * [simplify]: Extracting #7: cost 5 inf + 572 8.589 * * [simplify]: Extracting #8: cost 2 inf + 1258 8.590 * * [simplify]: Extracting #9: cost 0 inf + 1782 8.590 * [simplify]: Simplified to (cbrt (sqrt (+ (* re re) (* im im)))) 8.590 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) 8.590 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 8.590 * [simplify]: Simplifying (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 8.591 * * [simplify]: iters left: 6 (10 enodes) 8.593 * * [simplify]: iters left: 5 (30 enodes) 8.602 * * [simplify]: iters left: 4 (31 enodes) 8.611 * * [simplify]: Extracting #0: cost 1 inf + 0 8.611 * * [simplify]: Extracting #1: cost 5 inf + 0 8.611 * * [simplify]: Extracting #2: cost 9 inf + 0 8.611 * * [simplify]: Extracting #3: cost 12 inf + 0 8.611 * * [simplify]: Extracting #4: cost 16 inf + 0 8.611 * * [simplify]: Extracting #5: cost 12 inf + 84 8.611 * * [simplify]: Extracting #6: cost 10 inf + 166 8.612 * * [simplify]: Extracting #7: cost 7 inf + 732 8.612 * * [simplify]: Extracting #8: cost 2 inf + 1822 8.613 * * [simplify]: Extracting #9: cost 0 inf + 2346 8.613 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 8.614 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re))))) 8.614 * [simplify]: Simplifying (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 8.614 * * [simplify]: iters left: 6 (9 enodes) 8.618 * * [simplify]: iters left: 5 (26 enodes) 8.626 * * [simplify]: iters left: 4 (27 enodes) 8.631 * * [simplify]: Extracting #0: cost 1 inf + 0 8.631 * * [simplify]: Extracting #1: cost 4 inf + 0 8.631 * * [simplify]: Extracting #2: cost 7 inf + 0 8.631 * * [simplify]: Extracting #3: cost 10 inf + 0 8.631 * * [simplify]: Extracting #4: cost 14 inf + 0 8.631 * * [simplify]: Extracting #5: cost 10 inf + 84 8.633 * * [simplify]: Extracting #6: cost 8 inf + 166 8.633 * * [simplify]: Extracting #7: cost 5 inf + 612 8.633 * * [simplify]: Extracting #8: cost 2 inf + 1338 8.633 * * [simplify]: Extracting #9: cost 0 inf + 1862 8.634 * [simplify]: Simplified to (sqrt (cbrt (+ (* re re) (* im im)))) 8.634 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 8.634 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 8.634 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.634 * * [simplify]: iters left: 6 (9 enodes) 8.636 * * [simplify]: iters left: 5 (26 enodes) 8.640 * * [simplify]: iters left: 4 (27 enodes) 8.644 * * [simplify]: Extracting #0: cost 1 inf + 0 8.644 * * [simplify]: Extracting #1: cost 4 inf + 0 8.644 * * [simplify]: Extracting #2: cost 7 inf + 0 8.644 * * [simplify]: Extracting #3: cost 10 inf + 0 8.644 * * [simplify]: Extracting #4: cost 14 inf + 0 8.644 * * [simplify]: Extracting #5: cost 10 inf + 84 8.644 * * [simplify]: Extracting #6: cost 8 inf + 166 8.645 * * [simplify]: Extracting #7: cost 5 inf + 572 8.645 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.645 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.645 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.645 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.646 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.646 * * [simplify]: iters left: 6 (9 enodes) 8.648 * * [simplify]: iters left: 5 (26 enodes) 8.651 * * [simplify]: iters left: 4 (27 enodes) 8.655 * * [simplify]: Extracting #0: cost 1 inf + 0 8.655 * * [simplify]: Extracting #1: cost 4 inf + 0 8.655 * * [simplify]: Extracting #2: cost 7 inf + 0 8.655 * * [simplify]: Extracting #3: cost 10 inf + 0 8.655 * * [simplify]: Extracting #4: cost 14 inf + 0 8.655 * * [simplify]: Extracting #5: cost 10 inf + 84 8.656 * * [simplify]: Extracting #6: cost 8 inf + 166 8.656 * * [simplify]: Extracting #7: cost 5 inf + 572 8.656 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.656 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.657 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.657 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.657 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 8.657 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.657 * * [simplify]: iters left: 6 (9 enodes) 8.661 * * [simplify]: iters left: 5 (26 enodes) 8.669 * * [simplify]: iters left: 4 (27 enodes) 8.676 * * [simplify]: Extracting #0: cost 1 inf + 0 8.677 * * [simplify]: Extracting #1: cost 4 inf + 0 8.677 * * [simplify]: Extracting #2: cost 7 inf + 0 8.677 * * [simplify]: Extracting #3: cost 10 inf + 0 8.677 * * [simplify]: Extracting #4: cost 14 inf + 0 8.677 * * [simplify]: Extracting #5: cost 10 inf + 84 8.677 * * [simplify]: Extracting #6: cost 8 inf + 166 8.677 * * [simplify]: Extracting #7: cost 5 inf + 572 8.678 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.678 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.679 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.679 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.679 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.679 * * [simplify]: iters left: 6 (9 enodes) 8.683 * * [simplify]: iters left: 5 (26 enodes) 8.691 * * [simplify]: iters left: 4 (27 enodes) 8.699 * * [simplify]: Extracting #0: cost 1 inf + 0 8.699 * * [simplify]: Extracting #1: cost 4 inf + 0 8.699 * * [simplify]: Extracting #2: cost 7 inf + 0 8.699 * * [simplify]: Extracting #3: cost 10 inf + 0 8.699 * * [simplify]: Extracting #4: cost 14 inf + 0 8.699 * * [simplify]: Extracting #5: cost 10 inf + 84 8.699 * * [simplify]: Extracting #6: cost 8 inf + 166 8.700 * * [simplify]: Extracting #7: cost 5 inf + 572 8.700 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.701 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.701 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.701 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.702 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 8.702 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.702 * * [simplify]: iters left: 6 (9 enodes) 8.706 * * [simplify]: iters left: 5 (26 enodes) 8.711 * * [simplify]: iters left: 4 (27 enodes) 8.715 * * [simplify]: Extracting #0: cost 1 inf + 0 8.715 * * [simplify]: Extracting #1: cost 4 inf + 0 8.715 * * [simplify]: Extracting #2: cost 7 inf + 0 8.715 * * [simplify]: Extracting #3: cost 10 inf + 0 8.715 * * [simplify]: Extracting #4: cost 14 inf + 0 8.715 * * [simplify]: Extracting #5: cost 10 inf + 84 8.715 * * [simplify]: Extracting #6: cost 8 inf + 166 8.715 * * [simplify]: Extracting #7: cost 5 inf + 572 8.716 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.716 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.716 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.716 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.716 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.717 * * [simplify]: iters left: 6 (9 enodes) 8.719 * * [simplify]: iters left: 5 (26 enodes) 8.722 * * [simplify]: iters left: 4 (27 enodes) 8.726 * * [simplify]: Extracting #0: cost 1 inf + 0 8.726 * * [simplify]: Extracting #1: cost 4 inf + 0 8.726 * * [simplify]: Extracting #2: cost 7 inf + 0 8.726 * * [simplify]: Extracting #3: cost 10 inf + 0 8.727 * * [simplify]: Extracting #4: cost 14 inf + 0 8.727 * * [simplify]: Extracting #5: cost 10 inf + 84 8.727 * * [simplify]: Extracting #6: cost 8 inf + 166 8.727 * * [simplify]: Extracting #7: cost 5 inf + 572 8.727 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.727 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.728 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.728 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.728 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 8.728 * [simplify]: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) 8.728 * * [simplify]: iters left: 4 (4 enodes) 8.732 * * [simplify]: iters left: 3 (12 enodes) 8.734 * * [simplify]: iters left: 2 (14 enodes) 8.737 * * [simplify]: Extracting #0: cost 1 inf + 0 8.737 * * [simplify]: Extracting #1: cost 0 inf + 1 8.737 * [simplify]: Simplified to 1 8.737 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.737 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.737 * * [simplify]: iters left: 6 (8 enodes) 8.739 * * [simplify]: iters left: 5 (23 enodes) 8.742 * * [simplify]: iters left: 4 (24 enodes) 8.747 * * [simplify]: Extracting #0: cost 1 inf + 0 8.747 * * [simplify]: Extracting #1: cost 4 inf + 0 8.747 * * [simplify]: Extracting #2: cost 8 inf + 0 8.747 * * [simplify]: Extracting #3: cost 12 inf + 0 8.747 * * [simplify]: Extracting #4: cost 10 inf + 2 8.748 * * [simplify]: Extracting #5: cost 3 inf + 572 8.748 * * [simplify]: Extracting #6: cost 0 inf + 1138 8.748 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.748 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 8.748 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 8.748 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.748 * * [simplify]: iters left: 6 (9 enodes) 8.750 * * [simplify]: iters left: 5 (26 enodes) 8.756 * * [simplify]: iters left: 4 (27 enodes) 8.764 * * [simplify]: Extracting #0: cost 1 inf + 0 8.764 * * [simplify]: Extracting #1: cost 4 inf + 0 8.764 * * [simplify]: Extracting #2: cost 7 inf + 0 8.764 * * [simplify]: Extracting #3: cost 10 inf + 0 8.764 * * [simplify]: Extracting #4: cost 14 inf + 0 8.764 * * [simplify]: Extracting #5: cost 10 inf + 84 8.764 * * [simplify]: Extracting #6: cost 8 inf + 166 8.765 * * [simplify]: Extracting #7: cost 5 inf + 572 8.765 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.765 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.766 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.766 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.767 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.767 * * [simplify]: iters left: 6 (9 enodes) 8.771 * * [simplify]: iters left: 5 (26 enodes) 8.778 * * [simplify]: iters left: 4 (27 enodes) 8.785 * * [simplify]: Extracting #0: cost 1 inf + 0 8.785 * * [simplify]: Extracting #1: cost 4 inf + 0 8.785 * * [simplify]: Extracting #2: cost 7 inf + 0 8.785 * * [simplify]: Extracting #3: cost 10 inf + 0 8.786 * * [simplify]: Extracting #4: cost 14 inf + 0 8.786 * * [simplify]: Extracting #5: cost 10 inf + 84 8.786 * * [simplify]: Extracting #6: cost 8 inf + 166 8.786 * * [simplify]: Extracting #7: cost 5 inf + 572 8.786 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.786 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.787 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.787 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.787 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 8.787 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.787 * * [simplify]: iters left: 6 (9 enodes) 8.789 * * [simplify]: iters left: 5 (26 enodes) 8.793 * * [simplify]: iters left: 4 (27 enodes) 8.797 * * [simplify]: Extracting #0: cost 1 inf + 0 8.797 * * [simplify]: Extracting #1: cost 4 inf + 0 8.797 * * [simplify]: Extracting #2: cost 7 inf + 0 8.797 * * [simplify]: Extracting #3: cost 10 inf + 0 8.797 * * [simplify]: Extracting #4: cost 14 inf + 0 8.797 * * [simplify]: Extracting #5: cost 10 inf + 84 8.797 * * [simplify]: Extracting #6: cost 8 inf + 166 8.797 * * [simplify]: Extracting #7: cost 5 inf + 572 8.797 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.798 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.798 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.798 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.798 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.798 * * [simplify]: iters left: 6 (9 enodes) 8.800 * * [simplify]: iters left: 5 (26 enodes) 8.804 * * [simplify]: iters left: 4 (27 enodes) 8.808 * * [simplify]: Extracting #0: cost 1 inf + 0 8.808 * * [simplify]: Extracting #1: cost 4 inf + 0 8.808 * * [simplify]: Extracting #2: cost 7 inf + 0 8.808 * * [simplify]: Extracting #3: cost 10 inf + 0 8.808 * * [simplify]: Extracting #4: cost 14 inf + 0 8.808 * * [simplify]: Extracting #5: cost 10 inf + 84 8.808 * * [simplify]: Extracting #6: cost 8 inf + 166 8.808 * * [simplify]: Extracting #7: cost 5 inf + 572 8.809 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.809 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.809 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.809 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.809 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 8.810 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.810 * * [simplify]: iters left: 6 (9 enodes) 8.812 * * [simplify]: iters left: 5 (26 enodes) 8.818 * * [simplify]: iters left: 4 (27 enodes) 8.826 * * [simplify]: Extracting #0: cost 1 inf + 0 8.826 * * [simplify]: Extracting #1: cost 4 inf + 0 8.826 * * [simplify]: Extracting #2: cost 7 inf + 0 8.826 * * [simplify]: Extracting #3: cost 10 inf + 0 8.826 * * [simplify]: Extracting #4: cost 14 inf + 0 8.827 * * [simplify]: Extracting #5: cost 10 inf + 84 8.827 * * [simplify]: Extracting #6: cost 8 inf + 166 8.827 * * [simplify]: Extracting #7: cost 5 inf + 572 8.827 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.828 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.829 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.829 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.829 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.829 * * [simplify]: iters left: 6 (9 enodes) 8.833 * * [simplify]: iters left: 5 (26 enodes) 8.841 * * [simplify]: iters left: 4 (27 enodes) 8.846 * * [simplify]: Extracting #0: cost 1 inf + 0 8.846 * * [simplify]: Extracting #1: cost 4 inf + 0 8.846 * * [simplify]: Extracting #2: cost 7 inf + 0 8.847 * * [simplify]: Extracting #3: cost 10 inf + 0 8.847 * * [simplify]: Extracting #4: cost 14 inf + 0 8.847 * * [simplify]: Extracting #5: cost 10 inf + 84 8.847 * * [simplify]: Extracting #6: cost 8 inf + 166 8.847 * * [simplify]: Extracting #7: cost 5 inf + 572 8.847 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.847 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.848 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.848 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.848 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 8.848 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 8.848 * * [simplify]: iters left: 3 (3 enodes) 8.850 * * [simplify]: iters left: 2 (9 enodes) 8.852 * * [simplify]: iters left: 1 (11 enodes) 8.854 * * [simplify]: Extracting #0: cost 1 inf + 0 8.854 * * [simplify]: Extracting #1: cost 0 inf + 1 8.854 * [simplify]: Simplified to 1 8.854 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.854 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.854 * * [simplify]: iters left: 6 (8 enodes) 8.856 * * [simplify]: iters left: 5 (23 enodes) 8.859 * * [simplify]: iters left: 4 (24 enodes) 8.864 * * [simplify]: Extracting #0: cost 1 inf + 0 8.864 * * [simplify]: Extracting #1: cost 4 inf + 0 8.864 * * [simplify]: Extracting #2: cost 8 inf + 0 8.864 * * [simplify]: Extracting #3: cost 12 inf + 0 8.864 * * [simplify]: Extracting #4: cost 10 inf + 2 8.864 * * [simplify]: Extracting #5: cost 3 inf + 572 8.864 * * [simplify]: Extracting #6: cost 0 inf + 1138 8.864 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.865 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 8.865 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 8.865 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.865 * * [simplify]: iters left: 6 (9 enodes) 8.867 * * [simplify]: iters left: 5 (26 enodes) 8.871 * * [simplify]: iters left: 4 (27 enodes) 8.874 * * [simplify]: Extracting #0: cost 1 inf + 0 8.874 * * [simplify]: Extracting #1: cost 4 inf + 0 8.874 * * [simplify]: Extracting #2: cost 7 inf + 0 8.875 * * [simplify]: Extracting #3: cost 10 inf + 0 8.875 * * [simplify]: Extracting #4: cost 14 inf + 0 8.875 * * [simplify]: Extracting #5: cost 10 inf + 84 8.875 * * [simplify]: Extracting #6: cost 8 inf + 166 8.875 * * [simplify]: Extracting #7: cost 5 inf + 572 8.875 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.875 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.876 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.876 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.876 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.876 * * [simplify]: iters left: 6 (9 enodes) 8.878 * * [simplify]: iters left: 5 (26 enodes) 8.882 * * [simplify]: iters left: 4 (27 enodes) 8.886 * * [simplify]: Extracting #0: cost 1 inf + 0 8.886 * * [simplify]: Extracting #1: cost 4 inf + 0 8.886 * * [simplify]: Extracting #2: cost 7 inf + 0 8.886 * * [simplify]: Extracting #3: cost 10 inf + 0 8.886 * * [simplify]: Extracting #4: cost 14 inf + 0 8.886 * * [simplify]: Extracting #5: cost 10 inf + 84 8.886 * * [simplify]: Extracting #6: cost 8 inf + 166 8.886 * * [simplify]: Extracting #7: cost 5 inf + 572 8.886 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.887 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.887 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.887 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.887 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 8.887 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.887 * * [simplify]: iters left: 6 (9 enodes) 8.889 * * [simplify]: iters left: 5 (26 enodes) 8.893 * * [simplify]: iters left: 4 (27 enodes) 8.897 * * [simplify]: Extracting #0: cost 1 inf + 0 8.897 * * [simplify]: Extracting #1: cost 4 inf + 0 8.898 * * [simplify]: Extracting #2: cost 7 inf + 0 8.898 * * [simplify]: Extracting #3: cost 10 inf + 0 8.898 * * [simplify]: Extracting #4: cost 14 inf + 0 8.898 * * [simplify]: Extracting #5: cost 10 inf + 84 8.898 * * [simplify]: Extracting #6: cost 8 inf + 166 8.898 * * [simplify]: Extracting #7: cost 5 inf + 572 8.898 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.898 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.899 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.899 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.899 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.899 * * [simplify]: iters left: 6 (9 enodes) 8.901 * * [simplify]: iters left: 5 (26 enodes) 8.905 * * [simplify]: iters left: 4 (27 enodes) 8.909 * * [simplify]: Extracting #0: cost 1 inf + 0 8.909 * * [simplify]: Extracting #1: cost 4 inf + 0 8.909 * * [simplify]: Extracting #2: cost 7 inf + 0 8.909 * * [simplify]: Extracting #3: cost 10 inf + 0 8.909 * * [simplify]: Extracting #4: cost 14 inf + 0 8.909 * * [simplify]: Extracting #5: cost 10 inf + 84 8.909 * * [simplify]: Extracting #6: cost 8 inf + 166 8.909 * * [simplify]: Extracting #7: cost 5 inf + 572 8.909 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.909 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.910 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.910 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.910 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 8.910 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.910 * * [simplify]: iters left: 6 (9 enodes) 8.912 * * [simplify]: iters left: 5 (26 enodes) 8.916 * * [simplify]: iters left: 4 (27 enodes) 8.920 * * [simplify]: Extracting #0: cost 1 inf + 0 8.920 * * [simplify]: Extracting #1: cost 4 inf + 0 8.920 * * [simplify]: Extracting #2: cost 7 inf + 0 8.920 * * [simplify]: Extracting #3: cost 10 inf + 0 8.920 * * [simplify]: Extracting #4: cost 14 inf + 0 8.920 * * [simplify]: Extracting #5: cost 10 inf + 84 8.920 * * [simplify]: Extracting #6: cost 8 inf + 166 8.920 * * [simplify]: Extracting #7: cost 5 inf + 572 8.921 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.921 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.921 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.921 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.922 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.922 * * [simplify]: iters left: 6 (9 enodes) 8.924 * * [simplify]: iters left: 5 (26 enodes) 8.927 * * [simplify]: iters left: 4 (27 enodes) 8.931 * * [simplify]: Extracting #0: cost 1 inf + 0 8.931 * * [simplify]: Extracting #1: cost 4 inf + 0 8.931 * * [simplify]: Extracting #2: cost 7 inf + 0 8.931 * * [simplify]: Extracting #3: cost 10 inf + 0 8.931 * * [simplify]: Extracting #4: cost 14 inf + 0 8.931 * * [simplify]: Extracting #5: cost 10 inf + 84 8.931 * * [simplify]: Extracting #6: cost 8 inf + 166 8.931 * * [simplify]: Extracting #7: cost 5 inf + 572 8.932 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.932 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.932 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.932 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.932 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 8.933 * [simplify]: Simplifying (* 1 1) 8.933 * * [simplify]: iters left: 2 (2 enodes) 8.934 * * [simplify]: iters left: 1 (6 enodes) 8.935 * * [simplify]: Extracting #0: cost 1 inf + 0 8.935 * * [simplify]: Extracting #1: cost 0 inf + 1 8.935 * [simplify]: Simplified to 1 8.935 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 8.935 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 8.935 * * [simplify]: iters left: 6 (8 enodes) 8.937 * * [simplify]: iters left: 5 (23 enodes) 8.940 * * [simplify]: iters left: 4 (24 enodes) 8.945 * * [simplify]: Extracting #0: cost 1 inf + 0 8.945 * * [simplify]: Extracting #1: cost 4 inf + 0 8.945 * * [simplify]: Extracting #2: cost 8 inf + 0 8.945 * * [simplify]: Extracting #3: cost 12 inf + 0 8.945 * * [simplify]: Extracting #4: cost 10 inf + 2 8.945 * * [simplify]: Extracting #5: cost 3 inf + 572 8.945 * * [simplify]: Extracting #6: cost 0 inf + 1138 8.946 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 8.946 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 8.946 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 8.946 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.946 * * [simplify]: iters left: 6 (9 enodes) 8.948 * * [simplify]: iters left: 5 (26 enodes) 8.952 * * [simplify]: iters left: 4 (27 enodes) 8.956 * * [simplify]: Extracting #0: cost 1 inf + 0 8.956 * * [simplify]: Extracting #1: cost 4 inf + 0 8.956 * * [simplify]: Extracting #2: cost 7 inf + 0 8.956 * * [simplify]: Extracting #3: cost 10 inf + 0 8.956 * * [simplify]: Extracting #4: cost 14 inf + 0 8.956 * * [simplify]: Extracting #5: cost 10 inf + 84 8.956 * * [simplify]: Extracting #6: cost 8 inf + 166 8.957 * * [simplify]: Extracting #7: cost 5 inf + 572 8.957 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.957 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.957 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.957 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.958 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.958 * * [simplify]: iters left: 6 (9 enodes) 8.960 * * [simplify]: iters left: 5 (26 enodes) 8.963 * * [simplify]: iters left: 4 (27 enodes) 8.967 * * [simplify]: Extracting #0: cost 1 inf + 0 8.967 * * [simplify]: Extracting #1: cost 4 inf + 0 8.967 * * [simplify]: Extracting #2: cost 7 inf + 0 8.967 * * [simplify]: Extracting #3: cost 10 inf + 0 8.967 * * [simplify]: Extracting #4: cost 14 inf + 0 8.967 * * [simplify]: Extracting #5: cost 10 inf + 84 8.967 * * [simplify]: Extracting #6: cost 8 inf + 166 8.968 * * [simplify]: Extracting #7: cost 5 inf + 572 8.968 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.968 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.968 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.968 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.969 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 8.969 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.969 * * [simplify]: iters left: 6 (9 enodes) 8.971 * * [simplify]: iters left: 5 (26 enodes) 8.974 * * [simplify]: iters left: 4 (27 enodes) 8.978 * * [simplify]: Extracting #0: cost 1 inf + 0 8.978 * * [simplify]: Extracting #1: cost 4 inf + 0 8.978 * * [simplify]: Extracting #2: cost 7 inf + 0 8.978 * * [simplify]: Extracting #3: cost 10 inf + 0 8.978 * * [simplify]: Extracting #4: cost 14 inf + 0 8.978 * * [simplify]: Extracting #5: cost 10 inf + 84 8.978 * * [simplify]: Extracting #6: cost 8 inf + 166 8.978 * * [simplify]: Extracting #7: cost 5 inf + 572 8.979 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.979 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.979 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.979 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 8.979 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.980 * * [simplify]: iters left: 6 (9 enodes) 8.982 * * [simplify]: iters left: 5 (26 enodes) 8.986 * * [simplify]: iters left: 4 (27 enodes) 8.993 * * [simplify]: Extracting #0: cost 1 inf + 0 8.993 * * [simplify]: Extracting #1: cost 4 inf + 0 8.993 * * [simplify]: Extracting #2: cost 7 inf + 0 8.993 * * [simplify]: Extracting #3: cost 10 inf + 0 8.993 * * [simplify]: Extracting #4: cost 14 inf + 0 8.994 * * [simplify]: Extracting #5: cost 10 inf + 84 8.994 * * [simplify]: Extracting #6: cost 8 inf + 166 8.994 * * [simplify]: Extracting #7: cost 5 inf + 572 8.994 * * [simplify]: Extracting #8: cost 2 inf + 1178 8.995 * * [simplify]: Extracting #9: cost 0 inf + 1622 8.995 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 8.995 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 8.996 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 8.996 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 8.996 * * [simplify]: iters left: 6 (9 enodes) 9.000 * * [simplify]: iters left: 5 (26 enodes) 9.008 * * [simplify]: iters left: 4 (27 enodes) 9.016 * * [simplify]: Extracting #0: cost 1 inf + 0 9.016 * * [simplify]: Extracting #1: cost 4 inf + 0 9.016 * * [simplify]: Extracting #2: cost 7 inf + 0 9.016 * * [simplify]: Extracting #3: cost 10 inf + 0 9.016 * * [simplify]: Extracting #4: cost 14 inf + 0 9.016 * * [simplify]: Extracting #5: cost 10 inf + 84 9.016 * * [simplify]: Extracting #6: cost 8 inf + 166 9.017 * * [simplify]: Extracting #7: cost 5 inf + 572 9.017 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.017 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.018 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.018 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.019 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.019 * * [simplify]: iters left: 6 (9 enodes) 9.023 * * [simplify]: iters left: 5 (26 enodes) 9.030 * * [simplify]: iters left: 4 (27 enodes) 9.037 * * [simplify]: Extracting #0: cost 1 inf + 0 9.037 * * [simplify]: Extracting #1: cost 4 inf + 0 9.037 * * [simplify]: Extracting #2: cost 7 inf + 0 9.037 * * [simplify]: Extracting #3: cost 10 inf + 0 9.037 * * [simplify]: Extracting #4: cost 14 inf + 0 9.037 * * [simplify]: Extracting #5: cost 10 inf + 84 9.037 * * [simplify]: Extracting #6: cost 8 inf + 166 9.037 * * [simplify]: Extracting #7: cost 5 inf + 572 9.038 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.038 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.038 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.038 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.038 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 9.038 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.039 * * [simplify]: iters left: 6 (9 enodes) 9.041 * * [simplify]: iters left: 5 (26 enodes) 9.045 * * [simplify]: iters left: 4 (27 enodes) 9.049 * * [simplify]: Extracting #0: cost 1 inf + 0 9.049 * * [simplify]: Extracting #1: cost 4 inf + 0 9.049 * * [simplify]: Extracting #2: cost 7 inf + 0 9.049 * * [simplify]: Extracting #3: cost 10 inf + 0 9.049 * * [simplify]: Extracting #4: cost 14 inf + 0 9.049 * * [simplify]: Extracting #5: cost 10 inf + 84 9.049 * * [simplify]: Extracting #6: cost 8 inf + 166 9.049 * * [simplify]: Extracting #7: cost 5 inf + 572 9.049 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.050 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.050 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.050 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.050 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.050 * * [simplify]: iters left: 6 (9 enodes) 9.053 * * [simplify]: iters left: 5 (26 enodes) 9.057 * * [simplify]: iters left: 4 (27 enodes) 9.061 * * [simplify]: Extracting #0: cost 1 inf + 0 9.061 * * [simplify]: Extracting #1: cost 4 inf + 0 9.061 * * [simplify]: Extracting #2: cost 7 inf + 0 9.061 * * [simplify]: Extracting #3: cost 10 inf + 0 9.061 * * [simplify]: Extracting #4: cost 14 inf + 0 9.061 * * [simplify]: Extracting #5: cost 10 inf + 84 9.061 * * [simplify]: Extracting #6: cost 8 inf + 166 9.061 * * [simplify]: Extracting #7: cost 5 inf + 572 9.061 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.062 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.062 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.062 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.062 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 9.062 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.062 * * [simplify]: iters left: 6 (9 enodes) 9.064 * * [simplify]: iters left: 5 (26 enodes) 9.068 * * [simplify]: iters left: 4 (27 enodes) 9.072 * * [simplify]: Extracting #0: cost 1 inf + 0 9.072 * * [simplify]: Extracting #1: cost 4 inf + 0 9.072 * * [simplify]: Extracting #2: cost 7 inf + 0 9.072 * * [simplify]: Extracting #3: cost 10 inf + 0 9.072 * * [simplify]: Extracting #4: cost 14 inf + 0 9.072 * * [simplify]: Extracting #5: cost 10 inf + 84 9.072 * * [simplify]: Extracting #6: cost 8 inf + 166 9.072 * * [simplify]: Extracting #7: cost 5 inf + 572 9.073 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.073 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.074 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.074 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.074 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.074 * * [simplify]: iters left: 6 (9 enodes) 9.077 * * [simplify]: iters left: 5 (26 enodes) 9.081 * * [simplify]: iters left: 4 (27 enodes) 9.085 * * [simplify]: Extracting #0: cost 1 inf + 0 9.085 * * [simplify]: Extracting #1: cost 4 inf + 0 9.085 * * [simplify]: Extracting #2: cost 7 inf + 0 9.085 * * [simplify]: Extracting #3: cost 10 inf + 0 9.085 * * [simplify]: Extracting #4: cost 14 inf + 0 9.085 * * [simplify]: Extracting #5: cost 10 inf + 84 9.085 * * [simplify]: Extracting #6: cost 8 inf + 166 9.085 * * [simplify]: Extracting #7: cost 5 inf + 572 9.086 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.086 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.086 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.086 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.086 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 9.087 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.087 * * [simplify]: iters left: 6 (9 enodes) 9.089 * * [simplify]: iters left: 5 (26 enodes) 9.092 * * [simplify]: iters left: 4 (27 enodes) 9.096 * * [simplify]: Extracting #0: cost 1 inf + 0 9.096 * * [simplify]: Extracting #1: cost 4 inf + 0 9.096 * * [simplify]: Extracting #2: cost 7 inf + 0 9.096 * * [simplify]: Extracting #3: cost 10 inf + 0 9.096 * * [simplify]: Extracting #4: cost 14 inf + 0 9.096 * * [simplify]: Extracting #5: cost 10 inf + 84 9.096 * * [simplify]: Extracting #6: cost 8 inf + 166 9.096 * * [simplify]: Extracting #7: cost 5 inf + 572 9.097 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.097 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.097 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.097 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.098 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.098 * * [simplify]: iters left: 6 (9 enodes) 9.100 * * [simplify]: iters left: 5 (26 enodes) 9.103 * * [simplify]: iters left: 4 (27 enodes) 9.110 * * [simplify]: Extracting #0: cost 1 inf + 0 9.110 * * [simplify]: Extracting #1: cost 4 inf + 0 9.110 * * [simplify]: Extracting #2: cost 7 inf + 0 9.110 * * [simplify]: Extracting #3: cost 10 inf + 0 9.110 * * [simplify]: Extracting #4: cost 14 inf + 0 9.110 * * [simplify]: Extracting #5: cost 10 inf + 84 9.110 * * [simplify]: Extracting #6: cost 8 inf + 166 9.110 * * [simplify]: Extracting #7: cost 5 inf + 572 9.111 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.111 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.112 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.112 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.112 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 9.113 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.113 * * [simplify]: iters left: 6 (9 enodes) 9.117 * * [simplify]: iters left: 5 (26 enodes) 9.124 * * [simplify]: iters left: 4 (27 enodes) 9.132 * * [simplify]: Extracting #0: cost 1 inf + 0 9.132 * * [simplify]: Extracting #1: cost 4 inf + 0 9.132 * * [simplify]: Extracting #2: cost 7 inf + 0 9.132 * * [simplify]: Extracting #3: cost 10 inf + 0 9.132 * * [simplify]: Extracting #4: cost 14 inf + 0 9.132 * * [simplify]: Extracting #5: cost 10 inf + 84 9.132 * * [simplify]: Extracting #6: cost 8 inf + 166 9.133 * * [simplify]: Extracting #7: cost 5 inf + 572 9.133 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.134 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.134 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.134 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.135 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.135 * * [simplify]: iters left: 6 (9 enodes) 9.139 * * [simplify]: iters left: 5 (26 enodes) 9.147 * * [simplify]: iters left: 4 (27 enodes) 9.155 * * [simplify]: Extracting #0: cost 1 inf + 0 9.155 * * [simplify]: Extracting #1: cost 4 inf + 0 9.155 * * [simplify]: Extracting #2: cost 7 inf + 0 9.155 * * [simplify]: Extracting #3: cost 10 inf + 0 9.155 * * [simplify]: Extracting #4: cost 14 inf + 0 9.155 * * [simplify]: Extracting #5: cost 10 inf + 84 9.155 * * [simplify]: Extracting #6: cost 8 inf + 166 9.155 * * [simplify]: Extracting #7: cost 5 inf + 572 9.156 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.156 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.157 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.157 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.157 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 9.158 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.158 * * [simplify]: iters left: 6 (9 enodes) 9.162 * * [simplify]: iters left: 5 (26 enodes) 9.170 * * [simplify]: iters left: 4 (27 enodes) 9.178 * * [simplify]: Extracting #0: cost 1 inf + 0 9.178 * * [simplify]: Extracting #1: cost 4 inf + 0 9.178 * * [simplify]: Extracting #2: cost 7 inf + 0 9.178 * * [simplify]: Extracting #3: cost 10 inf + 0 9.178 * * [simplify]: Extracting #4: cost 14 inf + 0 9.178 * * [simplify]: Extracting #5: cost 10 inf + 84 9.178 * * [simplify]: Extracting #6: cost 8 inf + 166 9.179 * * [simplify]: Extracting #7: cost 5 inf + 572 9.179 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.180 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.180 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.180 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.181 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.181 * * [simplify]: iters left: 6 (9 enodes) 9.185 * * [simplify]: iters left: 5 (26 enodes) 9.193 * * [simplify]: iters left: 4 (27 enodes) 9.200 * * [simplify]: Extracting #0: cost 1 inf + 0 9.200 * * [simplify]: Extracting #1: cost 4 inf + 0 9.200 * * [simplify]: Extracting #2: cost 7 inf + 0 9.200 * * [simplify]: Extracting #3: cost 10 inf + 0 9.200 * * [simplify]: Extracting #4: cost 14 inf + 0 9.200 * * [simplify]: Extracting #5: cost 10 inf + 84 9.201 * * [simplify]: Extracting #6: cost 8 inf + 166 9.201 * * [simplify]: Extracting #7: cost 5 inf + 572 9.201 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.202 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.202 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.202 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.203 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 9.203 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.203 * * [simplify]: iters left: 6 (9 enodes) 9.207 * * [simplify]: iters left: 5 (26 enodes) 9.215 * * [simplify]: iters left: 4 (27 enodes) 9.221 * * [simplify]: Extracting #0: cost 1 inf + 0 9.221 * * [simplify]: Extracting #1: cost 4 inf + 0 9.221 * * [simplify]: Extracting #2: cost 7 inf + 0 9.221 * * [simplify]: Extracting #3: cost 10 inf + 0 9.221 * * [simplify]: Extracting #4: cost 14 inf + 0 9.221 * * [simplify]: Extracting #5: cost 10 inf + 84 9.222 * * [simplify]: Extracting #6: cost 8 inf + 166 9.222 * * [simplify]: Extracting #7: cost 5 inf + 572 9.222 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.222 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.223 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.223 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re))))) 9.223 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.223 * * [simplify]: iters left: 6 (9 enodes) 9.225 * * [simplify]: iters left: 5 (26 enodes) 9.229 * * [simplify]: iters left: 4 (27 enodes) 9.232 * * [simplify]: Extracting #0: cost 1 inf + 0 9.232 * * [simplify]: Extracting #1: cost 4 inf + 0 9.232 * * [simplify]: Extracting #2: cost 7 inf + 0 9.232 * * [simplify]: Extracting #3: cost 10 inf + 0 9.233 * * [simplify]: Extracting #4: cost 14 inf + 0 9.233 * * [simplify]: Extracting #5: cost 10 inf + 84 9.233 * * [simplify]: Extracting #6: cost 8 inf + 166 9.233 * * [simplify]: Extracting #7: cost 5 inf + 572 9.233 * * [simplify]: Extracting #8: cost 2 inf + 1178 9.233 * * [simplify]: Extracting #9: cost 0 inf + 1622 9.234 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.234 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.234 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 9.234 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 9.234 * * [simplify]: iters left: 5 (6 enodes) 9.235 * * [simplify]: iters left: 4 (19 enodes) 9.238 * * [simplify]: Extracting #0: cost 1 inf + 0 9.238 * * [simplify]: Extracting #1: cost 3 inf + 0 9.238 * * [simplify]: Extracting #2: cost 6 inf + 0 9.238 * * [simplify]: Extracting #3: cost 10 inf + 0 9.238 * * [simplify]: Extracting #4: cost 6 inf + 84 9.238 * * [simplify]: Extracting #5: cost 0 inf + 734 9.239 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 9.239 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re))))) 9.239 * [simplify]: Simplifying (* 2 1/2) 9.239 * * [simplify]: iters left: 2 (3 enodes) 9.241 * * [simplify]: iters left: 1 (11 enodes) 9.243 * * [simplify]: Extracting #0: cost 1 inf + 0 9.243 * * [simplify]: Extracting #1: cost 0 inf + 1 9.243 * [simplify]: Simplified to 1 9.243 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 9.243 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 9.244 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.244 * * [simplify]: iters left: 6 (7 enodes) 9.245 * * [simplify]: iters left: 5 (22 enodes) 9.248 * * [simplify]: Extracting #0: cost 1 inf + 0 9.249 * * [simplify]: Extracting #1: cost 3 inf + 0 9.249 * * [simplify]: Extracting #2: cost 5 inf + 0 9.249 * * [simplify]: Extracting #3: cost 8 inf + 0 9.249 * * [simplify]: Extracting #4: cost 12 inf + 0 9.249 * * [simplify]: Extracting #5: cost 10 inf + 2 9.249 * * [simplify]: Extracting #6: cost 1 inf + 936 9.249 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.249 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.249 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re))))) 9.249 * [simplify]: Simplifying (* 2 1) 9.249 * * [simplify]: iters left: 2 (3 enodes) 9.251 * * [simplify]: iters left: 1 (9 enodes) 9.253 * * [simplify]: Extracting #0: cost 1 inf + 0 9.253 * * [simplify]: Extracting #1: cost 0 inf + 1 9.253 * [simplify]: Simplified to 2 9.253 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re))))) 9.254 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 9.254 * [simplify]: Simplifying (+ (* re re) (* im im)) 9.254 * * [simplify]: iters left: 4 (5 enodes) 9.256 * * [simplify]: iters left: 3 (16 enodes) 9.261 * * [simplify]: Extracting #0: cost 1 inf + 0 9.261 * * [simplify]: Extracting #1: cost 4 inf + 0 9.261 * * [simplify]: Extracting #2: cost 8 inf + 0 9.261 * * [simplify]: Extracting #3: cost 4 inf + 84 9.261 * * [simplify]: Extracting #4: cost 0 inf + 410 9.261 * [simplify]: Simplified to (+ (* re re) (* im im)) 9.261 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re))))) 9.261 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 9.261 * * [simplify]: iters left: 4 (4 enodes) 9.265 * * [simplify]: iters left: 3 (17 enodes) 9.267 * * [simplify]: iters left: 2 (21 enodes) 9.271 * * [simplify]: iters left: 1 (23 enodes) 9.274 * * [simplify]: Extracting #0: cost 1 inf + 0 9.274 * * [simplify]: Extracting #1: cost 0 inf + 1 9.274 * [simplify]: Simplified to 1/2 9.274 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 9.274 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 9.274 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 9.274 * * [simplify]: iters left: 5 (6 enodes) 9.276 * * [simplify]: iters left: 4 (19 enodes) 9.279 * * [simplify]: Extracting #0: cost 1 inf + 0 9.279 * * [simplify]: Extracting #1: cost 3 inf + 0 9.279 * * [simplify]: Extracting #2: cost 6 inf + 0 9.279 * * [simplify]: Extracting #3: cost 10 inf + 0 9.279 * * [simplify]: Extracting #4: cost 6 inf + 84 9.279 * * [simplify]: Extracting #5: cost 0 inf + 734 9.279 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 9.279 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re))))) 9.280 * [simplify]: Simplifying (* 2 (/ 1 2)) 9.280 * * [simplify]: iters left: 4 (4 enodes) 9.282 * * [simplify]: iters left: 3 (13 enodes) 9.286 * * [simplify]: iters left: 2 (15 enodes) 9.288 * * [simplify]: Extracting #0: cost 1 inf + 0 9.288 * * [simplify]: Extracting #1: cost 0 inf + 1 9.288 * [simplify]: Simplified to 1 9.288 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) 9.288 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 9.289 * [simplify]: Simplifying (+ (* re re) (* im im)) 9.289 * * [simplify]: iters left: 4 (5 enodes) 9.290 * * [simplify]: iters left: 3 (16 enodes) 9.292 * * [simplify]: Extracting #0: cost 1 inf + 0 9.292 * * [simplify]: Extracting #1: cost 4 inf + 0 9.292 * * [simplify]: Extracting #2: cost 8 inf + 0 9.292 * * [simplify]: Extracting #3: cost 4 inf + 84 9.292 * * [simplify]: Extracting #4: cost 0 inf + 410 9.292 * [simplify]: Simplified to (+ (* re re) (* im im)) 9.293 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re))))) 9.293 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 9.293 * * [simplify]: iters left: 6 (5 enodes) 9.296 * * [simplify]: iters left: 5 (25 enodes) 9.301 * * [simplify]: iters left: 4 (29 enodes) 9.305 * * [simplify]: Extracting #0: cost 1 inf + 0 9.305 * * [simplify]: Extracting #1: cost 0 inf + 1 9.305 * [simplify]: Simplified to 1/2 9.305 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) 9.305 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 9.306 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.306 * * [simplify]: iters left: 6 (8 enodes) 9.309 * * [simplify]: iters left: 5 (25 enodes) 9.316 * * [simplify]: Extracting #0: cost 1 inf + 0 9.317 * * [simplify]: Extracting #1: cost 3 inf + 0 9.317 * * [simplify]: Extracting #2: cost 5 inf + 0 9.317 * * [simplify]: Extracting #3: cost 7 inf + 0 9.317 * * [simplify]: Extracting #4: cost 10 inf + 0 9.318 * * [simplify]: Extracting #5: cost 14 inf + 0 9.318 * * [simplify]: Extracting #6: cost 11 inf + 43 9.318 * * [simplify]: Extracting #7: cost 9 inf + 125 9.318 * * [simplify]: Extracting #8: cost 5 inf + 572 9.318 * * [simplify]: Extracting #9: cost 1 inf + 1420 9.318 * * [simplify]: Extracting #10: cost 0 inf + 1702 9.319 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.319 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.319 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 9.319 * [simplify]: Simplifying (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 9.319 * * [simplify]: iters left: 6 (8 enodes) 9.321 * * [simplify]: iters left: 5 (25 enodes) 9.325 * * [simplify]: Extracting #0: cost 1 inf + 0 9.325 * * [simplify]: Extracting #1: cost 3 inf + 0 9.325 * * [simplify]: Extracting #2: cost 5 inf + 0 9.325 * * [simplify]: Extracting #3: cost 7 inf + 0 9.325 * * [simplify]: Extracting #4: cost 10 inf + 0 9.325 * * [simplify]: Extracting #5: cost 14 inf + 0 9.325 * * [simplify]: Extracting #6: cost 11 inf + 43 9.325 * * [simplify]: Extracting #7: cost 9 inf + 125 9.325 * * [simplify]: Extracting #8: cost 5 inf + 572 9.325 * * [simplify]: Extracting #9: cost 1 inf + 1500 9.325 * * [simplify]: Extracting #10: cost 0 inf + 1782 9.326 * [simplify]: Simplified to (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 9.326 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.326 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 9.326 * [simplify]: Simplifying (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 9.326 * * [simplify]: iters left: 6 (8 enodes) 9.328 * * [simplify]: iters left: 5 (25 enodes) 9.331 * * [simplify]: Extracting #0: cost 1 inf + 0 9.331 * * [simplify]: Extracting #1: cost 3 inf + 0 9.332 * * [simplify]: Extracting #2: cost 5 inf + 0 9.332 * * [simplify]: Extracting #3: cost 7 inf + 0 9.332 * * [simplify]: Extracting #4: cost 10 inf + 0 9.332 * * [simplify]: Extracting #5: cost 14 inf + 0 9.332 * * [simplify]: Extracting #6: cost 11 inf + 43 9.332 * * [simplify]: Extracting #7: cost 9 inf + 125 9.332 * * [simplify]: Extracting #8: cost 5 inf + 612 9.332 * * [simplify]: Extracting #9: cost 1 inf + 1580 9.332 * * [simplify]: Extracting #10: cost 0 inf + 1862 9.333 * [simplify]: Simplified to (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 9.333 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re))))) 9.333 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 9.333 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.333 * * [simplify]: iters left: 6 (8 enodes) 9.335 * * [simplify]: iters left: 5 (25 enodes) 9.338 * * [simplify]: Extracting #0: cost 1 inf + 0 9.339 * * [simplify]: Extracting #1: cost 3 inf + 0 9.339 * * [simplify]: Extracting #2: cost 5 inf + 0 9.339 * * [simplify]: Extracting #3: cost 7 inf + 0 9.339 * * [simplify]: Extracting #4: cost 10 inf + 0 9.339 * * [simplify]: Extracting #5: cost 14 inf + 0 9.339 * * [simplify]: Extracting #6: cost 11 inf + 43 9.339 * * [simplify]: Extracting #7: cost 9 inf + 125 9.339 * * [simplify]: Extracting #8: cost 5 inf + 572 9.339 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.339 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.340 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.340 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.340 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 9.340 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.340 * * [simplify]: iters left: 6 (7 enodes) 9.342 * * [simplify]: iters left: 5 (22 enodes) 9.345 * * [simplify]: Extracting #0: cost 1 inf + 0 9.345 * * [simplify]: Extracting #1: cost 3 inf + 0 9.345 * * [simplify]: Extracting #2: cost 5 inf + 0 9.345 * * [simplify]: Extracting #3: cost 8 inf + 0 9.345 * * [simplify]: Extracting #4: cost 12 inf + 0 9.345 * * [simplify]: Extracting #5: cost 10 inf + 2 9.345 * * [simplify]: Extracting #6: cost 1 inf + 936 9.345 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.345 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.345 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.346 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 9.346 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.346 * * [simplify]: iters left: 6 (8 enodes) 9.348 * * [simplify]: iters left: 5 (25 enodes) 9.354 * * [simplify]: Extracting #0: cost 1 inf + 0 9.354 * * [simplify]: Extracting #1: cost 3 inf + 0 9.354 * * [simplify]: Extracting #2: cost 5 inf + 0 9.354 * * [simplify]: Extracting #3: cost 7 inf + 0 9.354 * * [simplify]: Extracting #4: cost 10 inf + 0 9.354 * * [simplify]: Extracting #5: cost 14 inf + 0 9.354 * * [simplify]: Extracting #6: cost 11 inf + 43 9.355 * * [simplify]: Extracting #7: cost 9 inf + 125 9.355 * * [simplify]: Extracting #8: cost 5 inf + 572 9.355 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.356 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.356 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.356 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.356 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 9.357 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.357 * * [simplify]: iters left: 6 (7 enodes) 9.360 * * [simplify]: iters left: 5 (22 enodes) 9.366 * * [simplify]: Extracting #0: cost 1 inf + 0 9.367 * * [simplify]: Extracting #1: cost 3 inf + 0 9.367 * * [simplify]: Extracting #2: cost 5 inf + 0 9.367 * * [simplify]: Extracting #3: cost 8 inf + 0 9.367 * * [simplify]: Extracting #4: cost 12 inf + 0 9.367 * * [simplify]: Extracting #5: cost 10 inf + 2 9.367 * * [simplify]: Extracting #6: cost 1 inf + 936 9.367 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.368 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.368 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.368 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 9.369 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.369 * * [simplify]: iters left: 6 (8 enodes) 9.372 * * [simplify]: iters left: 5 (25 enodes) 9.380 * * [simplify]: Extracting #0: cost 1 inf + 0 9.380 * * [simplify]: Extracting #1: cost 3 inf + 0 9.380 * * [simplify]: Extracting #2: cost 5 inf + 0 9.380 * * [simplify]: Extracting #3: cost 7 inf + 0 9.380 * * [simplify]: Extracting #4: cost 10 inf + 0 9.380 * * [simplify]: Extracting #5: cost 14 inf + 0 9.380 * * [simplify]: Extracting #6: cost 11 inf + 43 9.380 * * [simplify]: Extracting #7: cost 9 inf + 125 9.381 * * [simplify]: Extracting #8: cost 5 inf + 572 9.381 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.381 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.382 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.382 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.382 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 9.383 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 9.383 * * [simplify]: iters left: 6 (7 enodes) 9.386 * * [simplify]: iters left: 5 (22 enodes) 9.392 * * [simplify]: Extracting #0: cost 1 inf + 0 9.392 * * [simplify]: Extracting #1: cost 3 inf + 0 9.392 * * [simplify]: Extracting #2: cost 5 inf + 0 9.392 * * [simplify]: Extracting #3: cost 8 inf + 0 9.392 * * [simplify]: Extracting #4: cost 12 inf + 0 9.392 * * [simplify]: Extracting #5: cost 10 inf + 2 9.393 * * [simplify]: Extracting #6: cost 1 inf + 936 9.393 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.394 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 9.394 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 9.394 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 9.394 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.394 * * [simplify]: iters left: 6 (9 enodes) 9.400 * * [simplify]: iters left: 5 (28 enodes) 9.408 * * [simplify]: Extracting #0: cost 1 inf + 0 9.408 * * [simplify]: Extracting #1: cost 3 inf + 0 9.408 * * [simplify]: Extracting #2: cost 5 inf + 0 9.408 * * [simplify]: Extracting #3: cost 7 inf + 0 9.408 * * [simplify]: Extracting #4: cost 9 inf + 0 9.408 * * [simplify]: Extracting #5: cost 12 inf + 0 9.408 * * [simplify]: Extracting #6: cost 16 inf + 0 9.409 * * [simplify]: Extracting #7: cost 12 inf + 84 9.409 * * [simplify]: Extracting #8: cost 10 inf + 166 9.409 * * [simplify]: Extracting #9: cost 7 inf + 572 9.409 * * [simplify]: Extracting #10: cost 4 inf + 1218 9.410 * * [simplify]: Extracting #11: cost 1 inf + 2024 9.411 * * [simplify]: Extracting #12: cost 0 inf + 2346 9.411 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 9.411 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.412 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 9.412 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 9.412 * * [simplify]: iters left: 6 (9 enodes) 9.414 * * [simplify]: iters left: 5 (29 enodes) 9.418 * * [simplify]: Extracting #0: cost 1 inf + 0 9.418 * * [simplify]: Extracting #1: cost 4 inf + 0 9.418 * * [simplify]: Extracting #2: cost 7 inf + 0 9.418 * * [simplify]: Extracting #3: cost 9 inf + 0 9.419 * * [simplify]: Extracting #4: cost 12 inf + 0 9.419 * * [simplify]: Extracting #5: cost 16 inf + 0 9.419 * * [simplify]: Extracting #6: cost 13 inf + 43 9.419 * * [simplify]: Extracting #7: cost 11 inf + 125 9.419 * * [simplify]: Extracting #8: cost 7 inf + 572 9.419 * * [simplify]: Extracting #9: cost 1 inf + 2064 9.419 * * [simplify]: Extracting #10: cost 0 inf + 2346 9.420 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ (* re re) (* im im))))) 9.420 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.420 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 9.420 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 9.420 * * [simplify]: iters left: 6 (9 enodes) 9.422 * * [simplify]: iters left: 5 (29 enodes) 9.426 * * [simplify]: Extracting #0: cost 1 inf + 0 9.426 * * [simplify]: Extracting #1: cost 3 inf + 0 9.426 * * [simplify]: Extracting #2: cost 6 inf + 0 9.426 * * [simplify]: Extracting #3: cost 9 inf + 0 9.427 * * [simplify]: Extracting #4: cost 12 inf + 0 9.427 * * [simplify]: Extracting #5: cost 16 inf + 0 9.427 * * [simplify]: Extracting #6: cost 13 inf + 43 9.427 * * [simplify]: Extracting #7: cost 11 inf + 125 9.427 * * [simplify]: Extracting #8: cost 6 inf + 854 9.427 * * [simplify]: Extracting #9: cost 0 inf + 2346 9.427 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ (* re re) (* im im))))) 9.427 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.428 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 9.428 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.428 * * [simplify]: iters left: 6 (8 enodes) 9.430 * * [simplify]: iters left: 5 (25 enodes) 9.434 * * [simplify]: Extracting #0: cost 1 inf + 0 9.434 * * [simplify]: Extracting #1: cost 3 inf + 0 9.434 * * [simplify]: Extracting #2: cost 5 inf + 0 9.434 * * [simplify]: Extracting #3: cost 7 inf + 0 9.434 * * [simplify]: Extracting #4: cost 10 inf + 0 9.434 * * [simplify]: Extracting #5: cost 14 inf + 0 9.434 * * [simplify]: Extracting #6: cost 11 inf + 43 9.434 * * [simplify]: Extracting #7: cost 9 inf + 125 9.435 * * [simplify]: Extracting #8: cost 5 inf + 572 9.435 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.436 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.436 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.436 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.436 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 9.437 * [simplify]: Simplifying (sqrt (sqrt 1)) 9.437 * * [simplify]: iters left: 2 (3 enodes) 9.442 * * [simplify]: iters left: 1 (11 enodes) 9.445 * * [simplify]: Extracting #0: cost 1 inf + 0 9.445 * * [simplify]: Extracting #1: cost 0 inf + 1 9.445 * [simplify]: Simplified to 1 9.445 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.445 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 9.446 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.446 * * [simplify]: iters left: 6 (8 enodes) 9.449 * * [simplify]: iters left: 5 (25 enodes) 9.456 * * [simplify]: Extracting #0: cost 1 inf + 0 9.456 * * [simplify]: Extracting #1: cost 3 inf + 0 9.456 * * [simplify]: Extracting #2: cost 5 inf + 0 9.456 * * [simplify]: Extracting #3: cost 7 inf + 0 9.456 * * [simplify]: Extracting #4: cost 10 inf + 0 9.456 * * [simplify]: Extracting #5: cost 14 inf + 0 9.456 * * [simplify]: Extracting #6: cost 11 inf + 43 9.457 * * [simplify]: Extracting #7: cost 9 inf + 125 9.457 * * [simplify]: Extracting #8: cost 5 inf + 572 9.457 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.457 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.458 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.458 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.458 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 9.458 * [simplify]: Simplifying (sqrt 1) 9.458 * * [simplify]: iters left: 1 (2 enodes) 9.460 * * [simplify]: Extracting #0: cost 1 inf + 0 9.460 * * [simplify]: Extracting #1: cost 0 inf + 1 9.460 * [simplify]: Simplified to 1 9.460 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.460 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 9.460 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.460 * * [simplify]: iters left: 6 (8 enodes) 9.462 * * [simplify]: iters left: 5 (25 enodes) 9.466 * * [simplify]: Extracting #0: cost 1 inf + 0 9.466 * * [simplify]: Extracting #1: cost 3 inf + 0 9.466 * * [simplify]: Extracting #2: cost 5 inf + 0 9.466 * * [simplify]: Extracting #3: cost 7 inf + 0 9.466 * * [simplify]: Extracting #4: cost 10 inf + 0 9.466 * * [simplify]: Extracting #5: cost 14 inf + 0 9.466 * * [simplify]: Extracting #6: cost 11 inf + 43 9.466 * * [simplify]: Extracting #7: cost 9 inf + 125 9.466 * * [simplify]: Extracting #8: cost 5 inf + 572 9.467 * * [simplify]: Extracting #9: cost 1 inf + 1380 9.467 * * [simplify]: Extracting #10: cost 0 inf + 1622 9.467 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 9.467 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 9.467 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 9.467 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 9.468 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) 9.468 * * [simplify]: iters left: 6 (11 enodes) 9.471 * * [simplify]: iters left: 5 (55 enodes) 9.482 * * [simplify]: iters left: 4 (122 enodes) 9.521 * * [simplify]: iters left: 3 (237 enodes) 9.595 * * [simplify]: iters left: 2 (369 enodes) 9.762 * * [simplify]: Extracting #0: cost 1 inf + 0 9.763 * * [simplify]: Extracting #1: cost 3 inf + 0 9.763 * * [simplify]: Extracting #2: cost 5 inf + 0 9.763 * * [simplify]: Extracting #3: cost 24 inf + 0 9.764 * * [simplify]: Extracting #4: cost 150 inf + 0 9.765 * * [simplify]: Extracting #5: cost 205 inf + 2347 9.768 * * [simplify]: Extracting #6: cost 111 inf + 15919 9.774 * * [simplify]: Extracting #7: cost 7 inf + 34109 9.781 * * [simplify]: Extracting #8: cost 0 inf + 35684 9.788 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im))))) 9.788 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (- (* re re) (* im im)) (* re re)) (* (* im im) (* im im)))))) re))))) 9.788 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 9.789 * [simplify]: Simplifying (sqrt (sqrt (- (* re re) (* im im)))) 9.789 * * [simplify]: iters left: 6 (7 enodes) 9.790 * * [simplify]: iters left: 5 (26 enodes) 9.797 * * [simplify]: iters left: 4 (39 enodes) 9.812 * * [simplify]: iters left: 3 (56 enodes) 9.832 * * [simplify]: iters left: 2 (97 enodes) 9.864 * * [simplify]: iters left: 1 (180 enodes) 9.894 * * [simplify]: Extracting #0: cost 1 inf + 0 9.894 * * [simplify]: Extracting #1: cost 3 inf + 0 9.894 * * [simplify]: Extracting #2: cost 5 inf + 0 9.894 * * [simplify]: Extracting #3: cost 25 inf + 0 9.894 * * [simplify]: Extracting #4: cost 59 inf + 0 9.895 * * [simplify]: Extracting #5: cost 53 inf + 290 9.895 * * [simplify]: Extracting #6: cost 20 inf + 3831 9.897 * * [simplify]: Extracting #7: cost 2 inf + 6067 9.899 * * [simplify]: Extracting #8: cost 0 inf + 6311 9.902 * [simplify]: Simplified to (sqrt (sqrt (- (* re re) (* im im)))) 9.902 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 9.902 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 9.902 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) 9.902 * * [simplify]: iters left: 6 (14 enodes) 9.906 * * [simplify]: iters left: 5 (62 enodes) 9.921 * * [simplify]: iters left: 4 (117 enodes) 9.965 * * [simplify]: iters left: 3 (215 enodes) 10.043 * * [simplify]: iters left: 2 (409 enodes) 10.187 * * [simplify]: Extracting #0: cost 1 inf + 0 10.187 * * [simplify]: Extracting #1: cost 4 inf + 0 10.187 * * [simplify]: Extracting #2: cost 8 inf + 0 10.187 * * [simplify]: Extracting #3: cost 12 inf + 0 10.187 * * [simplify]: Extracting #4: cost 18 inf + 0 10.188 * * [simplify]: Extracting #5: cost 87 inf + 0 10.189 * * [simplify]: Extracting #6: cost 182 inf + 632 10.191 * * [simplify]: Extracting #7: cost 162 inf + 7856 10.198 * * [simplify]: Extracting #8: cost 75 inf + 37168 10.208 * * [simplify]: Extracting #9: cost 13 inf + 65095 10.224 * * [simplify]: Extracting #10: cost 0 inf + 71685 10.236 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 10.236 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re))))) 10.236 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 10.237 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) 10.237 * * [simplify]: iters left: 6 (13 enodes) 10.243 * * [simplify]: iters left: 5 (53 enodes) 10.261 * * [simplify]: iters left: 4 (80 enodes) 10.289 * * [simplify]: iters left: 3 (136 enodes) 10.319 * * [simplify]: iters left: 2 (291 enodes) 10.442 * * [simplify]: Extracting #0: cost 1 inf + 0 10.442 * * [simplify]: Extracting #1: cost 4 inf + 0 10.442 * * [simplify]: Extracting #2: cost 8 inf + 0 10.442 * * [simplify]: Extracting #3: cost 12 inf + 0 10.442 * * [simplify]: Extracting #4: cost 61 inf + 0 10.443 * * [simplify]: Extracting #5: cost 160 inf + 0 10.443 * * [simplify]: Extracting #6: cost 201 inf + 1018 10.447 * * [simplify]: Extracting #7: cost 86 inf + 19610 10.460 * * [simplify]: Extracting #8: cost 8 inf + 36437 10.475 * * [simplify]: Extracting #9: cost 0 inf + 38305 10.491 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 10.491 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re))))) 10.491 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 10.491 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 10.491 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 10.492 * [simplify]: Simplifying im 10.492 * * [simplify]: iters left: 0 (1 enodes) 10.493 * * [simplify]: Extracting #0: cost 1 inf + 0 10.493 * * [simplify]: Extracting #1: cost 0 inf + 1 10.493 * [simplify]: Simplified to im 10.493 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re))))) 10.493 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 10.493 * [simplify]: Simplifying re 10.493 * * [simplify]: iters left: 0 (1 enodes) 10.494 * * [simplify]: Extracting #0: cost 1 inf + 0 10.494 * * [simplify]: Extracting #1: cost 0 inf + 1 10.494 * [simplify]: Simplified to re 10.494 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re))))) 10.494 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 10.494 * [simplify]: Simplifying (* -1 re) 10.494 * * [simplify]: iters left: 2 (3 enodes) 10.496 * * [simplify]: iters left: 1 (11 enodes) 10.500 * * [simplify]: Extracting #0: cost 1 inf + 0 10.500 * * [simplify]: Extracting #1: cost 4 inf + 0 10.500 * * [simplify]: Extracting #2: cost 0 inf + 84 10.500 * [simplify]: Simplified to (- re) 10.500 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (- re))) re))))) 10.500 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 10.500 * [simplify]: Simplifying im 10.501 * * [simplify]: iters left: 0 (1 enodes) 10.501 * * [simplify]: Extracting #0: cost 1 inf + 0 10.501 * * [simplify]: Extracting #1: cost 0 inf + 1 10.501 * [simplify]: Simplified to im 10.501 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 10.501 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 10.502 * [simplify]: Simplifying re 10.502 * * [simplify]: iters left: 0 (1 enodes) 10.502 * * [simplify]: Extracting #0: cost 1 inf + 0 10.502 * * [simplify]: Extracting #1: cost 0 inf + 1 10.502 * [simplify]: Simplified to re 10.502 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 10.502 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 10.503 * [simplify]: Simplifying (* -1 re) 10.503 * * [simplify]: iters left: 2 (3 enodes) 10.505 * * [simplify]: iters left: 1 (11 enodes) 10.508 * * [simplify]: Extracting #0: cost 1 inf + 0 10.508 * * [simplify]: Extracting #1: cost 4 inf + 0 10.508 * * [simplify]: Extracting #2: cost 0 inf + 84 10.508 * [simplify]: Simplified to (- re) 10.508 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (- re)) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 10.508 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 10.509 * [simplify]: Simplifying (- im re) 10.509 * * [simplify]: iters left: 2 (3 enodes) 10.509 * * [simplify]: iters left: 1 (11 enodes) 10.511 * * [simplify]: Extracting #0: cost 1 inf + 0 10.511 * * [simplify]: Extracting #1: cost 5 inf + 0 10.511 * * [simplify]: Extracting #2: cost 3 inf + 43 10.511 * * [simplify]: Extracting #3: cost 0 inf + 168 10.511 * [simplify]: Simplified to (- im re) 10.511 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 10.511 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 10.511 * [simplify]: Simplifying 0 10.511 * * [simplify]: iters left: 0 (1 enodes) 10.512 * * [simplify]: Extracting #0: cost 1 inf + 0 10.512 * * [simplify]: Extracting #1: cost 0 inf + 1 10.512 * [simplify]: Simplified to 0 10.512 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 10.512 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 10.512 * [simplify]: Simplifying (* -2 re) 10.513 * * [simplify]: iters left: 2 (3 enodes) 10.514 * * [simplify]: iters left: 1 (10 enodes) 10.518 * * [simplify]: Extracting #0: cost 1 inf + 0 10.518 * * [simplify]: Extracting #1: cost 4 inf + 0 10.518 * * [simplify]: Extracting #2: cost 2 inf + 2 10.518 * * [simplify]: Extracting #3: cost 0 inf + 86 10.518 * [simplify]: Simplified to (* -2 re) 10.518 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 10.518 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 10.519 * [simplify]: Simplifying im 10.519 * * [simplify]: iters left: 0 (1 enodes) 10.519 * * [simplify]: Extracting #0: cost 1 inf + 0 10.519 * * [simplify]: Extracting #1: cost 0 inf + 1 10.519 * [simplify]: Simplified to im 10.519 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 10.519 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 10.519 * [simplify]: Simplifying re 10.519 * * [simplify]: iters left: 0 (1 enodes) 10.519 * * [simplify]: Extracting #0: cost 1 inf + 0 10.520 * * [simplify]: Extracting #1: cost 0 inf + 1 10.520 * [simplify]: Simplified to re 10.520 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re))))) 10.520 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 10.520 * [simplify]: Simplifying (* -1 re) 10.520 * * [simplify]: iters left: 2 (3 enodes) 10.521 * * [simplify]: iters left: 1 (11 enodes) 10.523 * * [simplify]: Extracting #0: cost 1 inf + 0 10.523 * * [simplify]: Extracting #1: cost 4 inf + 0 10.523 * * [simplify]: Extracting #2: cost 0 inf + 84 10.523 * [simplify]: Simplified to (- re) 10.523 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re))))) 10.523 * * * [progress]: adding candidates to table 12.218 * * [progress]: iteration 3 / 4 12.218 * * * [progress]: picking best candidate 12.258 * * * * [pick]: Picked # 12.258 * * * [progress]: localizing error 12.325 * * * [progress]: generating rewritten candidates 12.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 12.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 12.337 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 12.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 12.486 * * * [progress]: generating series expansions 12.486 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1) 12.487 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.487 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.487 * [taylor]: Taking taylor expansion of im in im 12.487 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify 1 into 1 12.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.487 * [taylor]: Taking taylor expansion of re in im 12.487 * [backup-simplify]: Simplify re into re 12.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.487 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.488 * [backup-simplify]: Simplify (+ 0 0) into 0 12.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.488 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.488 * [taylor]: Taking taylor expansion of im in re 12.488 * [backup-simplify]: Simplify im into im 12.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.488 * [taylor]: Taking taylor expansion of re in re 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.488 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.489 * [backup-simplify]: Simplify (+ 0 0) into 0 12.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.489 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.489 * [taylor]: Taking taylor expansion of im in re 12.489 * [backup-simplify]: Simplify im into im 12.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.489 * [taylor]: Taking taylor expansion of re in re 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.490 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.490 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.491 * [taylor]: Taking taylor expansion of im in im 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [taylor]: Taking taylor expansion of 0 in im 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.492 * [backup-simplify]: Simplify (* 1 1) into 1 12.492 * [backup-simplify]: Simplify (+ 0 1) into 1 12.493 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.493 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.493 * [taylor]: Taking taylor expansion of 1/2 in im 12.493 * [backup-simplify]: Simplify 1/2 into 1/2 12.493 * [taylor]: Taking taylor expansion of im in im 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 1 into 1 12.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.497 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.497 * [taylor]: Taking taylor expansion of 0 in im 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.499 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.499 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.499 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.499 * [taylor]: Taking taylor expansion of re in im 12.499 * [backup-simplify]: Simplify re into re 12.499 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.499 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.499 * [taylor]: Taking taylor expansion of im in im 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify 1 into 1 12.500 * [backup-simplify]: Simplify (* 1 1) into 1 12.500 * [backup-simplify]: Simplify (/ 1 1) into 1 12.500 * [backup-simplify]: Simplify (+ 0 1) into 1 12.501 * [backup-simplify]: Simplify (sqrt 1) into 1 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.503 * [backup-simplify]: Simplify (+ 0 0) into 0 12.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.503 * [taylor]: Taking taylor expansion of re in re 12.503 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [backup-simplify]: Simplify (* 1 1) into 1 12.504 * [backup-simplify]: Simplify (/ 1 1) into 1 12.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.504 * [taylor]: Taking taylor expansion of im in re 12.504 * [backup-simplify]: Simplify im into im 12.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.505 * [backup-simplify]: Simplify (+ 1 0) into 1 12.506 * [backup-simplify]: Simplify (sqrt 1) into 1 12.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.508 * [backup-simplify]: Simplify (+ 0 0) into 0 12.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.509 * [taylor]: Taking taylor expansion of re in re 12.509 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify 1 into 1 12.509 * [backup-simplify]: Simplify (* 1 1) into 1 12.510 * [backup-simplify]: Simplify (/ 1 1) into 1 12.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.510 * [taylor]: Taking taylor expansion of im in re 12.510 * [backup-simplify]: Simplify im into im 12.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.510 * [backup-simplify]: Simplify (+ 1 0) into 1 12.511 * [backup-simplify]: Simplify (sqrt 1) into 1 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (+ 0 0) into 0 12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.514 * [taylor]: Taking taylor expansion of 1 in im 12.514 * [backup-simplify]: Simplify 1 into 1 12.514 * [taylor]: Taking taylor expansion of 0 in im 12.514 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify 1 into 1 12.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.517 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.517 * [taylor]: Taking taylor expansion of 1/2 in im 12.517 * [backup-simplify]: Simplify 1/2 into 1/2 12.517 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.517 * [taylor]: Taking taylor expansion of im in im 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.518 * [backup-simplify]: Simplify (* 1 1) into 1 12.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.522 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.523 * [taylor]: Taking taylor expansion of 0 in im 12.523 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.525 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.525 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.526 * [taylor]: Taking taylor expansion of re in im 12.526 * [backup-simplify]: Simplify re into re 12.526 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.526 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.526 * [taylor]: Taking taylor expansion of im in im 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify 1 into 1 12.526 * [backup-simplify]: Simplify (* 1 1) into 1 12.527 * [backup-simplify]: Simplify (/ 1 1) into 1 12.527 * [backup-simplify]: Simplify (+ 0 1) into 1 12.527 * [backup-simplify]: Simplify (sqrt 1) into 1 12.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ 0 0) into 0 12.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.530 * [taylor]: Taking taylor expansion of re in re 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.531 * [backup-simplify]: Simplify (* 1 1) into 1 12.531 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.531 * [taylor]: Taking taylor expansion of im in re 12.531 * [backup-simplify]: Simplify im into im 12.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.532 * [backup-simplify]: Simplify (+ 1 0) into 1 12.532 * [backup-simplify]: Simplify (sqrt 1) into 1 12.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.534 * [backup-simplify]: Simplify (+ 0 0) into 0 12.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.535 * [taylor]: Taking taylor expansion of re in re 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify 1 into 1 12.536 * [backup-simplify]: Simplify (* 1 1) into 1 12.536 * [backup-simplify]: Simplify (/ 1 1) into 1 12.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.536 * [taylor]: Taking taylor expansion of im in re 12.536 * [backup-simplify]: Simplify im into im 12.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.537 * [backup-simplify]: Simplify (+ 1 0) into 1 12.537 * [backup-simplify]: Simplify (sqrt 1) into 1 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.540 * [taylor]: Taking taylor expansion of 1 in im 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [taylor]: Taking taylor expansion of 0 in im 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.543 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.543 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.543 * [taylor]: Taking taylor expansion of 1/2 in im 12.543 * [backup-simplify]: Simplify 1/2 into 1/2 12.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.543 * [taylor]: Taking taylor expansion of im in im 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 1 into 1 12.544 * [backup-simplify]: Simplify (* 1 1) into 1 12.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 0 into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.548 * [backup-simplify]: Simplify (+ 0 0) into 0 12.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.549 * [taylor]: Taking taylor expansion of 0 in im 12.549 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.552 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 12.552 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.552 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.552 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.552 * [taylor]: Taking taylor expansion of im in im 12.552 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify 1 into 1 12.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.552 * [taylor]: Taking taylor expansion of re in im 12.552 * [backup-simplify]: Simplify re into re 12.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.552 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.552 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.553 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.553 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.553 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.553 * [taylor]: Taking taylor expansion of im in re 12.553 * [backup-simplify]: Simplify im into im 12.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.553 * [taylor]: Taking taylor expansion of re in re 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.553 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.554 * [backup-simplify]: Simplify (+ 0 0) into 0 12.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.554 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.554 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.554 * [taylor]: Taking taylor expansion of im in re 12.554 * [backup-simplify]: Simplify im into im 12.554 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.554 * [taylor]: Taking taylor expansion of re in re 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.555 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.555 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.555 * [backup-simplify]: Simplify (+ 0 0) into 0 12.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.555 * [taylor]: Taking taylor expansion of im in im 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [taylor]: Taking taylor expansion of 0 in im 12.555 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify 1 into 1 12.556 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.556 * [backup-simplify]: Simplify (* 1 1) into 1 12.557 * [backup-simplify]: Simplify (+ 0 1) into 1 12.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.558 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.558 * [taylor]: Taking taylor expansion of 1/2 in im 12.558 * [backup-simplify]: Simplify 1/2 into 1/2 12.558 * [taylor]: Taking taylor expansion of im in im 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.561 * [backup-simplify]: Simplify (+ 0 0) into 0 12.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.561 * [taylor]: Taking taylor expansion of 0 in im 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.562 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.563 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.563 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.563 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.563 * [taylor]: Taking taylor expansion of re in im 12.563 * [backup-simplify]: Simplify re into re 12.563 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.563 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.563 * [taylor]: Taking taylor expansion of im in im 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.564 * [backup-simplify]: Simplify (* 1 1) into 1 12.564 * [backup-simplify]: Simplify (/ 1 1) into 1 12.564 * [backup-simplify]: Simplify (+ 0 1) into 1 12.565 * [backup-simplify]: Simplify (sqrt 1) into 1 12.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.566 * [backup-simplify]: Simplify (+ 0 0) into 0 12.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.566 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.566 * [taylor]: Taking taylor expansion of re in re 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [backup-simplify]: Simplify (* 1 1) into 1 12.567 * [backup-simplify]: Simplify (/ 1 1) into 1 12.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.567 * [taylor]: Taking taylor expansion of im in re 12.567 * [backup-simplify]: Simplify im into im 12.567 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.567 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.567 * [backup-simplify]: Simplify (+ 1 0) into 1 12.567 * [backup-simplify]: Simplify (sqrt 1) into 1 12.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.569 * [backup-simplify]: Simplify (+ 0 0) into 0 12.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.569 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.569 * [taylor]: Taking taylor expansion of re in re 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify 1 into 1 12.569 * [backup-simplify]: Simplify (* 1 1) into 1 12.570 * [backup-simplify]: Simplify (/ 1 1) into 1 12.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.570 * [taylor]: Taking taylor expansion of im in re 12.570 * [backup-simplify]: Simplify im into im 12.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.570 * [backup-simplify]: Simplify (+ 1 0) into 1 12.570 * [backup-simplify]: Simplify (sqrt 1) into 1 12.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.572 * [backup-simplify]: Simplify (+ 0 0) into 0 12.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.572 * [taylor]: Taking taylor expansion of 1 in im 12.572 * [backup-simplify]: Simplify 1 into 1 12.572 * [taylor]: Taking taylor expansion of 0 in im 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 1 into 1 12.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.574 * [taylor]: Taking taylor expansion of 1/2 in im 12.574 * [backup-simplify]: Simplify 1/2 into 1/2 12.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.574 * [taylor]: Taking taylor expansion of im in im 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 1 into 1 12.575 * [backup-simplify]: Simplify (* 1 1) into 1 12.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.577 * [backup-simplify]: Simplify (+ 0 0) into 0 12.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.578 * [taylor]: Taking taylor expansion of 0 in im 12.578 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.579 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.579 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.579 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.579 * [taylor]: Taking taylor expansion of re in im 12.579 * [backup-simplify]: Simplify re into re 12.579 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.579 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.580 * [taylor]: Taking taylor expansion of im in im 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (/ 1 1) into 1 12.580 * [backup-simplify]: Simplify (+ 0 1) into 1 12.581 * [backup-simplify]: Simplify (sqrt 1) into 1 12.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.582 * [backup-simplify]: Simplify (+ 0 0) into 0 12.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.582 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.582 * [taylor]: Taking taylor expansion of re in re 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (* 1 1) into 1 12.583 * [backup-simplify]: Simplify (/ 1 1) into 1 12.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.583 * [taylor]: Taking taylor expansion of im in re 12.583 * [backup-simplify]: Simplify im into im 12.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.583 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.583 * [backup-simplify]: Simplify (+ 1 0) into 1 12.584 * [backup-simplify]: Simplify (sqrt 1) into 1 12.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.585 * [backup-simplify]: Simplify (+ 0 0) into 0 12.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.585 * [taylor]: Taking taylor expansion of re in re 12.585 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.586 * [taylor]: Taking taylor expansion of im in re 12.586 * [backup-simplify]: Simplify im into im 12.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.586 * [backup-simplify]: Simplify (+ 1 0) into 1 12.586 * [backup-simplify]: Simplify (sqrt 1) into 1 12.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.587 * [backup-simplify]: Simplify (+ 0 0) into 0 12.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.588 * [taylor]: Taking taylor expansion of 1 in im 12.588 * [backup-simplify]: Simplify 1 into 1 12.588 * [taylor]: Taking taylor expansion of 0 in im 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.591 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.592 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.592 * [taylor]: Taking taylor expansion of 1/2 in im 12.592 * [backup-simplify]: Simplify 1/2 into 1/2 12.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.592 * [taylor]: Taking taylor expansion of im in im 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (* 1 1) into 1 12.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.595 * [taylor]: Taking taylor expansion of 0 in im 12.595 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 12.597 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.597 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.597 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.597 * [taylor]: Taking taylor expansion of im in im 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 1 into 1 12.597 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.597 * [taylor]: Taking taylor expansion of re in im 12.597 * [backup-simplify]: Simplify re into re 12.597 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.597 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.597 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.597 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.598 * [backup-simplify]: Simplify (+ 0 0) into 0 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.598 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.598 * [taylor]: Taking taylor expansion of im in re 12.598 * [backup-simplify]: Simplify im into im 12.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.598 * [taylor]: Taking taylor expansion of re in re 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 1 into 1 12.598 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.598 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.598 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.598 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.598 * [backup-simplify]: Simplify (+ 0 0) into 0 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.598 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.598 * [taylor]: Taking taylor expansion of im in re 12.598 * [backup-simplify]: Simplify im into im 12.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.598 * [taylor]: Taking taylor expansion of re in re 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 1 into 1 12.599 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.599 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.599 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.599 * [backup-simplify]: Simplify (+ 0 0) into 0 12.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.599 * [taylor]: Taking taylor expansion of im in im 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [taylor]: Taking taylor expansion of 0 in im 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.600 * [backup-simplify]: Simplify (+ 0 1) into 1 12.601 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.601 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.601 * [taylor]: Taking taylor expansion of 1/2 in im 12.601 * [backup-simplify]: Simplify 1/2 into 1/2 12.601 * [taylor]: Taking taylor expansion of im in im 12.601 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify 1 into 1 12.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.603 * [backup-simplify]: Simplify (+ 0 0) into 0 12.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.603 * [taylor]: Taking taylor expansion of 0 in im 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.604 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.604 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.604 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.604 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.604 * [taylor]: Taking taylor expansion of re in im 12.604 * [backup-simplify]: Simplify re into re 12.604 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.604 * [taylor]: Taking taylor expansion of im in im 12.604 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify 1 into 1 12.604 * [backup-simplify]: Simplify (* 1 1) into 1 12.605 * [backup-simplify]: Simplify (/ 1 1) into 1 12.605 * [backup-simplify]: Simplify (+ 0 1) into 1 12.605 * [backup-simplify]: Simplify (sqrt 1) into 1 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.606 * [backup-simplify]: Simplify (+ 0 0) into 0 12.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.607 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.607 * [taylor]: Taking taylor expansion of re in re 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 1 into 1 12.607 * [backup-simplify]: Simplify (* 1 1) into 1 12.607 * [backup-simplify]: Simplify (/ 1 1) into 1 12.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.607 * [taylor]: Taking taylor expansion of im in re 12.607 * [backup-simplify]: Simplify im into im 12.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.608 * [backup-simplify]: Simplify (+ 1 0) into 1 12.608 * [backup-simplify]: Simplify (sqrt 1) into 1 12.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.609 * [backup-simplify]: Simplify (+ 0 0) into 0 12.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.610 * [taylor]: Taking taylor expansion of re in re 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (* 1 1) into 1 12.610 * [backup-simplify]: Simplify (/ 1 1) into 1 12.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.610 * [taylor]: Taking taylor expansion of im in re 12.610 * [backup-simplify]: Simplify im into im 12.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.611 * [backup-simplify]: Simplify (+ 1 0) into 1 12.611 * [backup-simplify]: Simplify (sqrt 1) into 1 12.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.612 * [backup-simplify]: Simplify (+ 0 0) into 0 12.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.613 * [taylor]: Taking taylor expansion of 1 in im 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [taylor]: Taking taylor expansion of 0 in im 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.615 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.616 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.616 * [taylor]: Taking taylor expansion of 1/2 in im 12.616 * [backup-simplify]: Simplify 1/2 into 1/2 12.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.616 * [taylor]: Taking taylor expansion of im in im 12.616 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (* 1 1) into 1 12.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.621 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.621 * [backup-simplify]: Simplify (+ 0 0) into 0 12.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.622 * [taylor]: Taking taylor expansion of 0 in im 12.622 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.624 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.624 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.624 * [taylor]: Taking taylor expansion of re in im 12.624 * [backup-simplify]: Simplify re into re 12.625 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.625 * [taylor]: Taking taylor expansion of im in im 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [backup-simplify]: Simplify (* 1 1) into 1 12.625 * [backup-simplify]: Simplify (/ 1 1) into 1 12.626 * [backup-simplify]: Simplify (+ 0 1) into 1 12.626 * [backup-simplify]: Simplify (sqrt 1) into 1 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.629 * [taylor]: Taking taylor expansion of re in re 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify 1 into 1 12.629 * [backup-simplify]: Simplify (* 1 1) into 1 12.630 * [backup-simplify]: Simplify (/ 1 1) into 1 12.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.630 * [taylor]: Taking taylor expansion of im in re 12.630 * [backup-simplify]: Simplify im into im 12.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.630 * [backup-simplify]: Simplify (+ 1 0) into 1 12.631 * [backup-simplify]: Simplify (sqrt 1) into 1 12.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.633 * [backup-simplify]: Simplify (+ 0 0) into 0 12.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.633 * [taylor]: Taking taylor expansion of re in re 12.633 * [backup-simplify]: Simplify 0 into 0 12.634 * [backup-simplify]: Simplify 1 into 1 12.634 * [backup-simplify]: Simplify (* 1 1) into 1 12.634 * [backup-simplify]: Simplify (/ 1 1) into 1 12.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.634 * [taylor]: Taking taylor expansion of im in re 12.634 * [backup-simplify]: Simplify im into im 12.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.635 * [backup-simplify]: Simplify (+ 1 0) into 1 12.635 * [backup-simplify]: Simplify (sqrt 1) into 1 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (+ 0 0) into 0 12.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.638 * [taylor]: Taking taylor expansion of 1 in im 12.638 * [backup-simplify]: Simplify 1 into 1 12.638 * [taylor]: Taking taylor expansion of 0 in im 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.641 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.641 * [taylor]: Taking taylor expansion of 1/2 in im 12.641 * [backup-simplify]: Simplify 1/2 into 1/2 12.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.641 * [taylor]: Taking taylor expansion of im in im 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.642 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.644 * [backup-simplify]: Simplify (+ 0 0) into 0 12.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.645 * [taylor]: Taking taylor expansion of 0 in im 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 12.646 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 12.647 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 12.647 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.647 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.647 * [taylor]: Taking taylor expansion of im in im 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.647 * [taylor]: Taking taylor expansion of re in im 12.647 * [backup-simplify]: Simplify re into re 12.647 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.647 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.647 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.647 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.647 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.647 * [taylor]: Taking taylor expansion of re in im 12.647 * [backup-simplify]: Simplify re into re 12.647 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.647 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.647 * [taylor]: Taking taylor expansion of im in re 12.647 * [backup-simplify]: Simplify im into im 12.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.647 * [taylor]: Taking taylor expansion of re in re 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.647 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.648 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.648 * [backup-simplify]: Simplify (+ 0 0) into 0 12.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.648 * [taylor]: Taking taylor expansion of re in re 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.648 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.648 * [taylor]: Taking taylor expansion of im in re 12.648 * [backup-simplify]: Simplify im into im 12.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.648 * [taylor]: Taking taylor expansion of re in re 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.648 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.648 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.649 * [backup-simplify]: Simplify (+ 0 0) into 0 12.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.649 * [taylor]: Taking taylor expansion of re in re 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify (- 0) into 0 12.649 * [backup-simplify]: Simplify (+ im 0) into im 12.649 * [taylor]: Taking taylor expansion of im in im 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify (- 1) into -1 12.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.650 * [taylor]: Taking taylor expansion of -1 in im 12.650 * [backup-simplify]: Simplify -1 into -1 12.650 * [backup-simplify]: Simplify -1 into -1 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.650 * [backup-simplify]: Simplify (* 1 1) into 1 12.651 * [backup-simplify]: Simplify (+ 0 1) into 1 12.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.651 * [backup-simplify]: Simplify (- 0) into 0 12.651 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 12.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.651 * [taylor]: Taking taylor expansion of 1/2 in im 12.651 * [backup-simplify]: Simplify 1/2 into 1/2 12.651 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.651 * [taylor]: Taking taylor expansion of im in im 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (/ 1 1) into 1 12.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.654 * [backup-simplify]: Simplify (+ 0 0) into 0 12.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.654 * [backup-simplify]: Simplify (- 0) into 0 12.654 * [backup-simplify]: Simplify (+ 0 0) into 0 12.654 * [taylor]: Taking taylor expansion of 0 in im 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 12.656 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 12.656 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 12.656 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.656 * [taylor]: Taking taylor expansion of re in im 12.656 * [backup-simplify]: Simplify re into re 12.656 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.656 * [taylor]: Taking taylor expansion of im in im 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 1 into 1 12.657 * [backup-simplify]: Simplify (* 1 1) into 1 12.657 * [backup-simplify]: Simplify (/ 1 1) into 1 12.657 * [backup-simplify]: Simplify (+ 0 1) into 1 12.657 * [backup-simplify]: Simplify (sqrt 1) into 1 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.659 * [backup-simplify]: Simplify (+ 0 0) into 0 12.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.659 * [taylor]: Taking taylor expansion of re in im 12.659 * [backup-simplify]: Simplify re into re 12.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.659 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.659 * [taylor]: Taking taylor expansion of re in re 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify 1 into 1 12.660 * [backup-simplify]: Simplify (* 1 1) into 1 12.660 * [backup-simplify]: Simplify (/ 1 1) into 1 12.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.660 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.660 * [taylor]: Taking taylor expansion of im in re 12.660 * [backup-simplify]: Simplify im into im 12.660 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.660 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.660 * [backup-simplify]: Simplify (+ 1 0) into 1 12.661 * [backup-simplify]: Simplify (sqrt 1) into 1 12.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (+ 0 0) into 0 12.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.662 * [taylor]: Taking taylor expansion of re in re 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 1 into 1 12.663 * [backup-simplify]: Simplify (/ 1 1) into 1 12.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.663 * [taylor]: Taking taylor expansion of re in re 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [backup-simplify]: Simplify (* 1 1) into 1 12.663 * [backup-simplify]: Simplify (/ 1 1) into 1 12.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.663 * [taylor]: Taking taylor expansion of im in re 12.663 * [backup-simplify]: Simplify im into im 12.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.664 * [backup-simplify]: Simplify (+ 1 0) into 1 12.664 * [backup-simplify]: Simplify (sqrt 1) into 1 12.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (+ 0 0) into 0 12.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.666 * [taylor]: Taking taylor expansion of re in re 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 1 into 1 12.666 * [backup-simplify]: Simplify (/ 1 1) into 1 12.666 * [backup-simplify]: Simplify (- 1) into -1 12.667 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.667 * [taylor]: Taking taylor expansion of 0 in im 12.667 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.667 * [backup-simplify]: Simplify (- 0) into 0 12.667 * [backup-simplify]: Simplify (+ 0 0) into 0 12.668 * [taylor]: Taking taylor expansion of 0 in im 12.668 * [backup-simplify]: Simplify 0 into 0 12.668 * [backup-simplify]: Simplify 0 into 0 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.670 * [backup-simplify]: Simplify (- 0) into 0 12.670 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.670 * [taylor]: Taking taylor expansion of 1/2 in im 12.670 * [backup-simplify]: Simplify 1/2 into 1/2 12.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.670 * [taylor]: Taking taylor expansion of im in im 12.670 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify 1 into 1 12.671 * [backup-simplify]: Simplify (* 1 1) into 1 12.671 * [backup-simplify]: Simplify (/ 1 1) into 1 12.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.674 * [backup-simplify]: Simplify (+ 0 0) into 0 12.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (- 0) into 0 12.675 * [backup-simplify]: Simplify (+ 0 0) into 0 12.675 * [taylor]: Taking taylor expansion of 0 in im 12.675 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.677 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 12.678 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 12.678 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.678 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.678 * [taylor]: Taking taylor expansion of re in im 12.678 * [backup-simplify]: Simplify re into re 12.678 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.678 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.678 * [taylor]: Taking taylor expansion of re in im 12.678 * [backup-simplify]: Simplify re into re 12.678 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.678 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.678 * [taylor]: Taking taylor expansion of im in im 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [backup-simplify]: Simplify (* 1 1) into 1 12.679 * [backup-simplify]: Simplify (/ 1 1) into 1 12.679 * [backup-simplify]: Simplify (+ 0 1) into 1 12.679 * [backup-simplify]: Simplify (sqrt 1) into 1 12.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.680 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.681 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.681 * [taylor]: Taking taylor expansion of re in re 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (/ 1 1) into 1 12.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.681 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.681 * [taylor]: Taking taylor expansion of re in re 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (* 1 1) into 1 12.682 * [backup-simplify]: Simplify (/ 1 1) into 1 12.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.682 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.682 * [taylor]: Taking taylor expansion of im in re 12.682 * [backup-simplify]: Simplify im into im 12.682 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.682 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.682 * [backup-simplify]: Simplify (+ 1 0) into 1 12.682 * [backup-simplify]: Simplify (sqrt 1) into 1 12.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify (+ 0 0) into 0 12.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.684 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.684 * [taylor]: Taking taylor expansion of re in re 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [backup-simplify]: Simplify (/ 1 1) into 1 12.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.684 * [taylor]: Taking taylor expansion of re in re 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [backup-simplify]: Simplify (* 1 1) into 1 12.685 * [backup-simplify]: Simplify (/ 1 1) into 1 12.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.685 * [taylor]: Taking taylor expansion of im in re 12.685 * [backup-simplify]: Simplify im into im 12.685 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.685 * [backup-simplify]: Simplify (+ 1 0) into 1 12.685 * [backup-simplify]: Simplify (sqrt 1) into 1 12.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.687 * [backup-simplify]: Simplify (+ 1 1) into 2 12.687 * [taylor]: Taking taylor expansion of 2 in im 12.687 * [backup-simplify]: Simplify 2 into 2 12.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.688 * [backup-simplify]: Simplify (+ 0 0) into 0 12.688 * [taylor]: Taking taylor expansion of 0 in im 12.688 * [backup-simplify]: Simplify 0 into 0 12.688 * [backup-simplify]: Simplify 2 into 2 12.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.691 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.692 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.692 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 12.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.692 * [taylor]: Taking taylor expansion of 1/2 in im 12.692 * [backup-simplify]: Simplify 1/2 into 1/2 12.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.692 * [taylor]: Taking taylor expansion of im in im 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (* 1 1) into 1 12.696 * [backup-simplify]: Simplify (/ 1 1) into 1 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.702 * [backup-simplify]: Simplify (+ 0 0) into 0 12.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.703 * [backup-simplify]: Simplify (+ 0 0) into 0 12.703 * [taylor]: Taking taylor expansion of 0 in im 12.703 * [backup-simplify]: Simplify 0 into 0 12.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.705 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 12.706 * * * [progress]: simplifying candidates 12.706 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 12.706 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 12.707 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 12.707 * * [simplify]: iters left: 6 (8 enodes) 12.711 * * [simplify]: iters left: 5 (26 enodes) 12.718 * * [simplify]: Extracting #0: cost 1 inf + 0 12.718 * * [simplify]: Extracting #1: cost 4 inf + 0 12.718 * * [simplify]: Extracting #2: cost 7 inf + 0 12.718 * * [simplify]: Extracting #3: cost 10 inf + 0 12.718 * * [simplify]: Extracting #4: cost 14 inf + 0 12.719 * * [simplify]: Extracting #5: cost 10 inf + 84 12.719 * * [simplify]: Extracting #6: cost 8 inf + 166 12.719 * * [simplify]: Extracting #7: cost 4 inf + 854 12.719 * * [simplify]: Extracting #8: cost 1 inf + 1540 12.720 * * [simplify]: Extracting #9: cost 0 inf + 1782 12.721 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 12.721 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re))))) 12.721 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 12.721 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 12.721 * * [simplify]: iters left: 6 (7 enodes) 12.724 * * [simplify]: iters left: 5 (22 enodes) 12.731 * * [simplify]: Extracting #0: cost 1 inf + 0 12.731 * * [simplify]: Extracting #1: cost 3 inf + 0 12.731 * * [simplify]: Extracting #2: cost 5 inf + 0 12.731 * * [simplify]: Extracting #3: cost 8 inf + 0 12.731 * * [simplify]: Extracting #4: cost 12 inf + 0 12.731 * * [simplify]: Extracting #5: cost 10 inf + 2 12.731 * * [simplify]: Extracting #6: cost 1 inf + 936 12.732 * * [simplify]: Extracting #7: cost 0 inf + 1138 12.732 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 12.732 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re))))) 12.733 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 12.733 * [simplify]: Simplifying (sqrt 1) 12.733 * * [simplify]: iters left: 1 (2 enodes) 12.736 * * [simplify]: Extracting #0: cost 1 inf + 0 12.736 * * [simplify]: Extracting #1: cost 0 inf + 1 12.736 * [simplify]: Simplified to 1 12.736 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) re))))) 12.736 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 12.737 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 12.737 * * [simplify]: iters left: 6 (9 enodes) 12.743 * * [simplify]: iters left: 5 (45 enodes) 12.765 * * [simplify]: iters left: 4 (100 enodes) 12.791 * * [simplify]: iters left: 3 (201 enodes) 12.878 * * [simplify]: iters left: 2 (406 enodes) 13.029 * * [simplify]: Extracting #0: cost 1 inf + 0 13.029 * * [simplify]: Extracting #1: cost 3 inf + 0 13.029 * * [simplify]: Extracting #2: cost 6 inf + 0 13.029 * * [simplify]: Extracting #3: cost 80 inf + 0 13.030 * * [simplify]: Extracting #4: cost 189 inf + 460 13.031 * * [simplify]: Extracting #5: cost 168 inf + 4664 13.034 * * [simplify]: Extracting #6: cost 84 inf + 34209 13.039 * * [simplify]: Extracting #7: cost 2 inf + 72608 13.044 * * [simplify]: Extracting #8: cost 0 inf + 73363 13.051 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 13.052 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re))))) 13.052 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 13.052 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.053 * * [simplify]: iters left: 6 (8 enodes) 13.057 * * [simplify]: iters left: 5 (37 enodes) 13.070 * * [simplify]: iters left: 4 (67 enodes) 13.095 * * [simplify]: iters left: 3 (123 enodes) 13.149 * * [simplify]: iters left: 2 (278 enodes) 13.297 * * [simplify]: Extracting #0: cost 1 inf + 0 13.297 * * [simplify]: Extracting #1: cost 3 inf + 0 13.297 * * [simplify]: Extracting #2: cost 50 inf + 0 13.297 * * [simplify]: Extracting #3: cost 150 inf + 0 13.298 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.301 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.306 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.319 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.335 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.335 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re))))) 13.335 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 13.336 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.336 * * [simplify]: iters left: 4 (5 enodes) 13.337 * * [simplify]: iters left: 3 (16 enodes) 13.340 * * [simplify]: Extracting #0: cost 1 inf + 0 13.340 * * [simplify]: Extracting #1: cost 4 inf + 0 13.340 * * [simplify]: Extracting #2: cost 8 inf + 0 13.340 * * [simplify]: Extracting #3: cost 4 inf + 84 13.340 * * [simplify]: Extracting #4: cost 0 inf + 410 13.340 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.340 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re))))) 13.340 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 13.340 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 13.340 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.340 * * [simplify]: iters left: 5 (6 enodes) 13.342 * * [simplify]: iters left: 4 (19 enodes) 13.347 * * [simplify]: Extracting #0: cost 1 inf + 0 13.347 * * [simplify]: Extracting #1: cost 3 inf + 0 13.347 * * [simplify]: Extracting #2: cost 6 inf + 0 13.347 * * [simplify]: Extracting #3: cost 10 inf + 0 13.347 * * [simplify]: Extracting #4: cost 6 inf + 84 13.347 * * [simplify]: Extracting #5: cost 0 inf + 734 13.348 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.348 * [simplify]: Simplified (2 2 1 2 1 2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) re))))) 13.348 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 13.348 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 13.348 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 13.348 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.348 * * [simplify]: iters left: 6 (8 enodes) 13.350 * * [simplify]: iters left: 5 (26 enodes) 13.354 * * [simplify]: Extracting #0: cost 1 inf + 0 13.354 * * [simplify]: Extracting #1: cost 4 inf + 0 13.354 * * [simplify]: Extracting #2: cost 7 inf + 0 13.354 * * [simplify]: Extracting #3: cost 10 inf + 0 13.355 * * [simplify]: Extracting #4: cost 14 inf + 0 13.355 * * [simplify]: Extracting #5: cost 10 inf + 84 13.355 * * [simplify]: Extracting #6: cost 8 inf + 166 13.355 * * [simplify]: Extracting #7: cost 4 inf + 854 13.355 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.355 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.356 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.356 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.356 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 13.356 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.356 * * [simplify]: iters left: 6 (7 enodes) 13.358 * * [simplify]: iters left: 5 (22 enodes) 13.361 * * [simplify]: Extracting #0: cost 1 inf + 0 13.361 * * [simplify]: Extracting #1: cost 3 inf + 0 13.361 * * [simplify]: Extracting #2: cost 5 inf + 0 13.361 * * [simplify]: Extracting #3: cost 8 inf + 0 13.361 * * [simplify]: Extracting #4: cost 12 inf + 0 13.361 * * [simplify]: Extracting #5: cost 10 inf + 2 13.361 * * [simplify]: Extracting #6: cost 1 inf + 936 13.362 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.362 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.362 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.362 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 13.362 * [simplify]: Simplifying (sqrt 1) 13.362 * * [simplify]: iters left: 1 (2 enodes) 13.364 * * [simplify]: Extracting #0: cost 1 inf + 0 13.364 * * [simplify]: Extracting #1: cost 0 inf + 1 13.365 * [simplify]: Simplified to 1 13.365 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.365 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 13.365 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.365 * * [simplify]: iters left: 6 (9 enodes) 13.371 * * [simplify]: iters left: 5 (45 enodes) 13.387 * * [simplify]: iters left: 4 (100 enodes) 13.416 * * [simplify]: iters left: 3 (201 enodes) 13.481 * * [simplify]: iters left: 2 (406 enodes) 13.621 * * [simplify]: Extracting #0: cost 1 inf + 0 13.621 * * [simplify]: Extracting #1: cost 3 inf + 0 13.621 * * [simplify]: Extracting #2: cost 6 inf + 0 13.621 * * [simplify]: Extracting #3: cost 80 inf + 0 13.622 * * [simplify]: Extracting #4: cost 189 inf + 460 13.626 * * [simplify]: Extracting #5: cost 168 inf + 4664 13.629 * * [simplify]: Extracting #6: cost 84 inf + 34209 13.639 * * [simplify]: Extracting #7: cost 2 inf + 72608 13.650 * * [simplify]: Extracting #8: cost 0 inf + 73363 13.661 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 13.661 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.661 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 13.662 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.662 * * [simplify]: iters left: 6 (8 enodes) 13.664 * * [simplify]: iters left: 5 (37 enodes) 13.671 * * [simplify]: iters left: 4 (67 enodes) 13.684 * * [simplify]: iters left: 3 (123 enodes) 13.732 * * [simplify]: iters left: 2 (278 enodes) 13.843 * * [simplify]: Extracting #0: cost 1 inf + 0 13.843 * * [simplify]: Extracting #1: cost 3 inf + 0 13.843 * * [simplify]: Extracting #2: cost 50 inf + 0 13.843 * * [simplify]: Extracting #3: cost 150 inf + 0 13.844 * * [simplify]: Extracting #4: cost 194 inf + 1180 13.849 * * [simplify]: Extracting #5: cost 123 inf + 12421 13.861 * * [simplify]: Extracting #6: cost 12 inf + 33804 13.875 * * [simplify]: Extracting #7: cost 0 inf + 36129 13.885 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 13.885 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.885 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 13.885 * [simplify]: Simplifying (+ (* re re) (* im im)) 13.885 * * [simplify]: iters left: 4 (5 enodes) 13.887 * * [simplify]: iters left: 3 (16 enodes) 13.889 * * [simplify]: Extracting #0: cost 1 inf + 0 13.889 * * [simplify]: Extracting #1: cost 4 inf + 0 13.889 * * [simplify]: Extracting #2: cost 8 inf + 0 13.889 * * [simplify]: Extracting #3: cost 4 inf + 84 13.889 * * [simplify]: Extracting #4: cost 0 inf + 410 13.890 * [simplify]: Simplified to (+ (* re re) (* im im)) 13.890 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.890 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 13.890 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 13.890 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 13.890 * * [simplify]: iters left: 5 (6 enodes) 13.891 * * [simplify]: iters left: 4 (19 enodes) 13.894 * * [simplify]: Extracting #0: cost 1 inf + 0 13.894 * * [simplify]: Extracting #1: cost 3 inf + 0 13.894 * * [simplify]: Extracting #2: cost 6 inf + 0 13.894 * * [simplify]: Extracting #3: cost 10 inf + 0 13.894 * * [simplify]: Extracting #4: cost 6 inf + 84 13.895 * * [simplify]: Extracting #5: cost 0 inf + 734 13.895 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 13.895 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.895 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 13.895 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 13.895 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 13.895 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 13.896 * * [simplify]: iters left: 6 (8 enodes) 13.897 * * [simplify]: iters left: 5 (26 enodes) 13.903 * * [simplify]: Extracting #0: cost 1 inf + 0 13.903 * * [simplify]: Extracting #1: cost 4 inf + 0 13.903 * * [simplify]: Extracting #2: cost 7 inf + 0 13.903 * * [simplify]: Extracting #3: cost 10 inf + 0 13.903 * * [simplify]: Extracting #4: cost 14 inf + 0 13.904 * * [simplify]: Extracting #5: cost 10 inf + 84 13.904 * * [simplify]: Extracting #6: cost 8 inf + 166 13.904 * * [simplify]: Extracting #7: cost 4 inf + 854 13.904 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.904 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.905 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 13.905 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.905 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 13.905 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 13.905 * * [simplify]: iters left: 6 (7 enodes) 13.907 * * [simplify]: iters left: 5 (22 enodes) 13.910 * * [simplify]: Extracting #0: cost 1 inf + 0 13.910 * * [simplify]: Extracting #1: cost 3 inf + 0 13.910 * * [simplify]: Extracting #2: cost 5 inf + 0 13.910 * * [simplify]: Extracting #3: cost 8 inf + 0 13.910 * * [simplify]: Extracting #4: cost 12 inf + 0 13.910 * * [simplify]: Extracting #5: cost 10 inf + 2 13.910 * * [simplify]: Extracting #6: cost 1 inf + 936 13.910 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.910 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 13.911 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.911 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 13.911 * [simplify]: Simplifying (sqrt 1) 13.911 * * [simplify]: iters left: 1 (2 enodes) 13.913 * * [simplify]: Extracting #0: cost 1 inf + 0 13.913 * * [simplify]: Extracting #1: cost 0 inf + 1 13.913 * [simplify]: Simplified to 1 13.913 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 13.913 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 13.913 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 13.913 * * [simplify]: iters left: 6 (9 enodes) 13.916 * * [simplify]: iters left: 5 (45 enodes) 13.928 * * [simplify]: iters left: 4 (100 enodes) 13.952 * * [simplify]: iters left: 3 (201 enodes) 14.015 * * [simplify]: iters left: 2 (406 enodes) 14.156 * * [simplify]: Extracting #0: cost 1 inf + 0 14.156 * * [simplify]: Extracting #1: cost 3 inf + 0 14.156 * * [simplify]: Extracting #2: cost 6 inf + 0 14.156 * * [simplify]: Extracting #3: cost 80 inf + 0 14.157 * * [simplify]: Extracting #4: cost 189 inf + 460 14.159 * * [simplify]: Extracting #5: cost 168 inf + 4664 14.161 * * [simplify]: Extracting #6: cost 84 inf + 34209 14.170 * * [simplify]: Extracting #7: cost 2 inf + 72608 14.175 * * [simplify]: Extracting #8: cost 0 inf + 73363 14.181 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 14.181 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.181 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 14.181 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.181 * * [simplify]: iters left: 6 (8 enodes) 14.184 * * [simplify]: iters left: 5 (37 enodes) 14.191 * * [simplify]: iters left: 4 (67 enodes) 14.214 * * [simplify]: iters left: 3 (123 enodes) 14.270 * * [simplify]: iters left: 2 (278 enodes) 14.401 * * [simplify]: Extracting #0: cost 1 inf + 0 14.401 * * [simplify]: Extracting #1: cost 3 inf + 0 14.402 * * [simplify]: Extracting #2: cost 50 inf + 0 14.402 * * [simplify]: Extracting #3: cost 150 inf + 0 14.404 * * [simplify]: Extracting #4: cost 194 inf + 1180 14.406 * * [simplify]: Extracting #5: cost 123 inf + 12421 14.412 * * [simplify]: Extracting #6: cost 12 inf + 33804 14.420 * * [simplify]: Extracting #7: cost 0 inf + 36129 14.427 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 14.427 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.427 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 14.428 * [simplify]: Simplifying (+ (* re re) (* im im)) 14.428 * * [simplify]: iters left: 4 (5 enodes) 14.429 * * [simplify]: iters left: 3 (16 enodes) 14.431 * * [simplify]: Extracting #0: cost 1 inf + 0 14.431 * * [simplify]: Extracting #1: cost 4 inf + 0 14.431 * * [simplify]: Extracting #2: cost 8 inf + 0 14.431 * * [simplify]: Extracting #3: cost 4 inf + 84 14.432 * * [simplify]: Extracting #4: cost 0 inf + 410 14.432 * [simplify]: Simplified to (+ (* re re) (* im im)) 14.432 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.432 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 14.432 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 14.432 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 14.432 * * [simplify]: iters left: 5 (6 enodes) 14.434 * * [simplify]: iters left: 4 (19 enodes) 14.436 * * [simplify]: Extracting #0: cost 1 inf + 0 14.436 * * [simplify]: Extracting #1: cost 3 inf + 0 14.437 * * [simplify]: Extracting #2: cost 6 inf + 0 14.437 * * [simplify]: Extracting #3: cost 10 inf + 0 14.437 * * [simplify]: Extracting #4: cost 6 inf + 84 14.437 * * [simplify]: Extracting #5: cost 0 inf + 734 14.437 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 14.437 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.437 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 14.437 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> 14.437 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 14.437 * [simplify]: Simplifying (/ (exp (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) 14.437 * * [simplify]: iters left: 6 (13 enodes) 14.441 * * [simplify]: iters left: 5 (48 enodes) 14.448 * * [simplify]: iters left: 4 (62 enodes) 14.461 * * [simplify]: iters left: 3 (94 enodes) 14.477 * * [simplify]: iters left: 2 (167 enodes) 14.525 * * [simplify]: iters left: 1 (379 enodes) 14.684 * * [simplify]: Extracting #0: cost 1 inf + 0 14.685 * * [simplify]: Extracting #1: cost 68 inf + 0 14.685 * * [simplify]: Extracting #2: cost 179 inf + 1 14.687 * * [simplify]: Extracting #3: cost 274 inf + 4 14.689 * * [simplify]: Extracting #4: cost 311 inf + 340 14.690 * * [simplify]: Extracting #5: cost 309 inf + 607 14.691 * * [simplify]: Extracting #6: cost 300 inf + 1340 14.694 * * [simplify]: Extracting #7: cost 257 inf + 14571 14.706 * * [simplify]: Extracting #8: cost 137 inf + 70707 14.756 * * [simplify]: Extracting #9: cost 34 inf + 152512 14.821 * * [simplify]: Extracting #10: cost 0 inf + 186709 14.862 * * [simplify]: Extracting #11: cost 0 inf + 186391 14.908 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 14.908 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 14.908 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 14.908 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 14.909 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 14.909 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 14.909 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> 14.909 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 14.909 * [simplify]: Simplifying im 14.909 * * [simplify]: iters left: 0 (1 enodes) 14.909 * * [simplify]: Extracting #0: cost 1 inf + 0 14.909 * * [simplify]: Extracting #1: cost 0 inf + 1 14.909 * [simplify]: Simplified to im 14.909 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt im))) re))))) 14.909 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 14.910 * [simplify]: Simplifying re 14.910 * * [simplify]: iters left: 0 (1 enodes) 14.910 * * [simplify]: Extracting #0: cost 1 inf + 0 14.910 * * [simplify]: Extracting #1: cost 0 inf + 1 14.910 * [simplify]: Simplified to re 14.910 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt re))) re))))) 14.910 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 14.910 * [simplify]: Simplifying (* -1 re) 14.910 * * [simplify]: iters left: 2 (3 enodes) 14.912 * * [simplify]: iters left: 1 (11 enodes) 14.914 * * [simplify]: Extracting #0: cost 1 inf + 0 14.914 * * [simplify]: Extracting #1: cost 4 inf + 0 14.914 * * [simplify]: Extracting #2: cost 0 inf + 84 14.914 * [simplify]: Simplified to (- re) 14.914 * [simplify]: Simplified (2 2 1 2 1 2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (- re)))) re))))) 14.914 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 14.914 * [simplify]: Simplifying im 14.914 * * [simplify]: iters left: 0 (1 enodes) 14.914 * * [simplify]: Extracting #0: cost 1 inf + 0 14.914 * * [simplify]: Extracting #1: cost 0 inf + 1 14.914 * [simplify]: Simplified to im 14.914 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt im)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.915 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 14.915 * [simplify]: Simplifying re 14.915 * * [simplify]: iters left: 0 (1 enodes) 14.915 * * [simplify]: Extracting #0: cost 1 inf + 0 14.915 * * [simplify]: Extracting #1: cost 0 inf + 1 14.915 * [simplify]: Simplified to re 14.915 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt re)) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.915 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 14.915 * [simplify]: Simplifying (* -1 re) 14.915 * * [simplify]: iters left: 2 (3 enodes) 14.917 * * [simplify]: iters left: 1 (11 enodes) 14.920 * * [simplify]: Extracting #0: cost 1 inf + 0 14.920 * * [simplify]: Extracting #1: cost 4 inf + 0 14.920 * * [simplify]: Extracting #2: cost 0 inf + 84 14.920 * [simplify]: Simplified to (- re) 14.920 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- re))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.921 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 14.921 * [simplify]: Simplifying im 14.921 * * [simplify]: iters left: 0 (1 enodes) 14.921 * * [simplify]: Extracting #0: cost 1 inf + 0 14.921 * * [simplify]: Extracting #1: cost 0 inf + 1 14.921 * [simplify]: Simplified to im 14.921 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt im)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.922 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 14.922 * [simplify]: Simplifying re 14.922 * * [simplify]: iters left: 0 (1 enodes) 14.922 * * [simplify]: Extracting #0: cost 1 inf + 0 14.922 * * [simplify]: Extracting #1: cost 0 inf + 1 14.922 * [simplify]: Simplified to re 14.923 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt re)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.923 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 14.923 * [simplify]: Simplifying (* -1 re) 14.923 * * [simplify]: iters left: 2 (3 enodes) 14.925 * * [simplify]: iters left: 1 (11 enodes) 14.928 * * [simplify]: Extracting #0: cost 1 inf + 0 14.929 * * [simplify]: Extracting #1: cost 4 inf + 0 14.929 * * [simplify]: Extracting #2: cost 0 inf + 84 14.929 * [simplify]: Simplified to (- re) 14.929 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (- re))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re))))) 14.929 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 14.929 * [simplify]: Simplifying (- im re) 14.929 * * [simplify]: iters left: 2 (3 enodes) 14.931 * * [simplify]: iters left: 1 (11 enodes) 14.934 * * [simplify]: Extracting #0: cost 1 inf + 0 14.934 * * [simplify]: Extracting #1: cost 5 inf + 0 14.934 * * [simplify]: Extracting #2: cost 3 inf + 43 14.934 * * [simplify]: Extracting #3: cost 0 inf + 168 14.934 * [simplify]: Simplified to (- im re) 14.934 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re))))) 14.934 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 14.935 * [simplify]: Simplifying 0 14.935 * * [simplify]: iters left: 0 (1 enodes) 14.937 * * [simplify]: Extracting #0: cost 1 inf + 0 14.937 * * [simplify]: Extracting #1: cost 0 inf + 1 14.937 * [simplify]: Simplified to 0 14.937 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 14.937 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 14.937 * [simplify]: Simplifying (* -2 re) 14.937 * * [simplify]: iters left: 2 (3 enodes) 14.939 * * [simplify]: iters left: 1 (10 enodes) 14.942 * * [simplify]: Extracting #0: cost 1 inf + 0 14.943 * * [simplify]: Extracting #1: cost 4 inf + 0 14.943 * * [simplify]: Extracting #2: cost 2 inf + 2 14.943 * * [simplify]: Extracting #3: cost 0 inf + 86 14.943 * [simplify]: Simplified to (* -2 re) 14.943 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re))))) 14.943 * * * [progress]: adding candidates to table 15.952 * * [progress]: iteration 4 / 4 15.952 * * * [progress]: picking best candidate 16.008 * * * * [pick]: Picked # 16.008 * * * [progress]: localizing error 16.077 * * * [progress]: generating rewritten candidates 16.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 16.090 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1) 16.102 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 16.114 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 16.127 * * * [progress]: generating series expansions 16.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 16.128 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.128 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.128 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.128 * [taylor]: Taking taylor expansion of im in im 16.128 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify 1 into 1 16.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.128 * [taylor]: Taking taylor expansion of re in im 16.128 * [backup-simplify]: Simplify re into re 16.128 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.128 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.128 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.128 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.129 * [backup-simplify]: Simplify (+ 0 0) into 0 16.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.129 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.129 * [taylor]: Taking taylor expansion of im in re 16.129 * [backup-simplify]: Simplify im into im 16.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.129 * [taylor]: Taking taylor expansion of re in re 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.130 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.130 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.130 * [backup-simplify]: Simplify (+ 0 0) into 0 16.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.130 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.130 * [taylor]: Taking taylor expansion of im in re 16.130 * [backup-simplify]: Simplify im into im 16.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.131 * [taylor]: Taking taylor expansion of re in re 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify 1 into 1 16.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.131 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.131 * [backup-simplify]: Simplify (+ 0 0) into 0 16.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.132 * [taylor]: Taking taylor expansion of im in im 16.132 * [backup-simplify]: Simplify 0 into 0 16.132 * [backup-simplify]: Simplify 1 into 1 16.132 * [backup-simplify]: Simplify 0 into 0 16.132 * [taylor]: Taking taylor expansion of 0 in im 16.132 * [backup-simplify]: Simplify 0 into 0 16.132 * [backup-simplify]: Simplify 0 into 0 16.132 * [backup-simplify]: Simplify 1 into 1 16.132 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.133 * [backup-simplify]: Simplify (* 1 1) into 1 16.133 * [backup-simplify]: Simplify (+ 0 1) into 1 16.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.134 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.134 * [taylor]: Taking taylor expansion of 1/2 in im 16.134 * [backup-simplify]: Simplify 1/2 into 1/2 16.134 * [taylor]: Taking taylor expansion of im in im 16.134 * [backup-simplify]: Simplify 0 into 0 16.134 * [backup-simplify]: Simplify 1 into 1 16.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 0 into 0 16.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.138 * [backup-simplify]: Simplify (+ 0 0) into 0 16.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.138 * [taylor]: Taking taylor expansion of 0 in im 16.138 * [backup-simplify]: Simplify 0 into 0 16.138 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.140 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.140 * [taylor]: Taking taylor expansion of re in im 16.140 * [backup-simplify]: Simplify re into re 16.140 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.140 * [taylor]: Taking taylor expansion of im in im 16.140 * [backup-simplify]: Simplify 0 into 0 16.140 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify (* 1 1) into 1 16.141 * [backup-simplify]: Simplify (/ 1 1) into 1 16.142 * [backup-simplify]: Simplify (+ 0 1) into 1 16.142 * [backup-simplify]: Simplify (sqrt 1) into 1 16.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.144 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.145 * [taylor]: Taking taylor expansion of re in re 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 1 into 1 16.146 * [backup-simplify]: Simplify (* 1 1) into 1 16.146 * [backup-simplify]: Simplify (/ 1 1) into 1 16.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.146 * [taylor]: Taking taylor expansion of im in re 16.146 * [backup-simplify]: Simplify im into im 16.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.147 * [backup-simplify]: Simplify (+ 1 0) into 1 16.147 * [backup-simplify]: Simplify (sqrt 1) into 1 16.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.149 * [backup-simplify]: Simplify (+ 0 0) into 0 16.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.150 * [taylor]: Taking taylor expansion of re in re 16.150 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify 1 into 1 16.150 * [backup-simplify]: Simplify (* 1 1) into 1 16.151 * [backup-simplify]: Simplify (/ 1 1) into 1 16.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.151 * [taylor]: Taking taylor expansion of im in re 16.151 * [backup-simplify]: Simplify im into im 16.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.151 * [backup-simplify]: Simplify (+ 1 0) into 1 16.152 * [backup-simplify]: Simplify (sqrt 1) into 1 16.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.154 * [backup-simplify]: Simplify (+ 0 0) into 0 16.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.155 * [taylor]: Taking taylor expansion of 1 in im 16.155 * [backup-simplify]: Simplify 1 into 1 16.155 * [taylor]: Taking taylor expansion of 0 in im 16.155 * [backup-simplify]: Simplify 0 into 0 16.155 * [backup-simplify]: Simplify 1 into 1 16.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.158 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.158 * [taylor]: Taking taylor expansion of 1/2 in im 16.158 * [backup-simplify]: Simplify 1/2 into 1/2 16.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.158 * [taylor]: Taking taylor expansion of im in im 16.158 * [backup-simplify]: Simplify 0 into 0 16.158 * [backup-simplify]: Simplify 1 into 1 16.159 * [backup-simplify]: Simplify (* 1 1) into 1 16.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.161 * [backup-simplify]: Simplify 0 into 0 16.161 * [backup-simplify]: Simplify 0 into 0 16.161 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.164 * [backup-simplify]: Simplify (+ 0 0) into 0 16.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.164 * [taylor]: Taking taylor expansion of 0 in im 16.164 * [backup-simplify]: Simplify 0 into 0 16.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.166 * [backup-simplify]: Simplify 0 into 0 16.166 * [backup-simplify]: Simplify 0 into 0 16.166 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.167 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.167 * [taylor]: Taking taylor expansion of re in im 16.167 * [backup-simplify]: Simplify re into re 16.167 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.167 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.167 * [taylor]: Taking taylor expansion of im in im 16.168 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify 1 into 1 16.168 * [backup-simplify]: Simplify (* 1 1) into 1 16.169 * [backup-simplify]: Simplify (/ 1 1) into 1 16.169 * [backup-simplify]: Simplify (+ 0 1) into 1 16.169 * [backup-simplify]: Simplify (sqrt 1) into 1 16.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.171 * [backup-simplify]: Simplify (+ 0 0) into 0 16.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.172 * [taylor]: Taking taylor expansion of re in re 16.172 * [backup-simplify]: Simplify 0 into 0 16.172 * [backup-simplify]: Simplify 1 into 1 16.173 * [backup-simplify]: Simplify (* 1 1) into 1 16.173 * [backup-simplify]: Simplify (/ 1 1) into 1 16.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.173 * [taylor]: Taking taylor expansion of im in re 16.173 * [backup-simplify]: Simplify im into im 16.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.174 * [backup-simplify]: Simplify (+ 1 0) into 1 16.174 * [backup-simplify]: Simplify (sqrt 1) into 1 16.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.176 * [backup-simplify]: Simplify (+ 0 0) into 0 16.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.177 * [taylor]: Taking taylor expansion of re in re 16.177 * [backup-simplify]: Simplify 0 into 0 16.177 * [backup-simplify]: Simplify 1 into 1 16.178 * [backup-simplify]: Simplify (* 1 1) into 1 16.178 * [backup-simplify]: Simplify (/ 1 1) into 1 16.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.178 * [taylor]: Taking taylor expansion of im in re 16.178 * [backup-simplify]: Simplify im into im 16.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.178 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.179 * [backup-simplify]: Simplify (+ 1 0) into 1 16.179 * [backup-simplify]: Simplify (sqrt 1) into 1 16.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.181 * [backup-simplify]: Simplify (+ 0 0) into 0 16.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.182 * [taylor]: Taking taylor expansion of 1 in im 16.182 * [backup-simplify]: Simplify 1 into 1 16.182 * [taylor]: Taking taylor expansion of 0 in im 16.182 * [backup-simplify]: Simplify 0 into 0 16.182 * [backup-simplify]: Simplify 1 into 1 16.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.185 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.185 * [taylor]: Taking taylor expansion of 1/2 in im 16.185 * [backup-simplify]: Simplify 1/2 into 1/2 16.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.185 * [taylor]: Taking taylor expansion of im in im 16.186 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify 1 into 1 16.186 * [backup-simplify]: Simplify (* 1 1) into 1 16.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.188 * [backup-simplify]: Simplify 0 into 0 16.188 * [backup-simplify]: Simplify 0 into 0 16.188 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.191 * [backup-simplify]: Simplify (+ 0 0) into 0 16.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.191 * [taylor]: Taking taylor expansion of 0 in im 16.191 * [backup-simplify]: Simplify 0 into 0 16.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.197 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1) 16.197 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.197 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.197 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.197 * [taylor]: Taking taylor expansion of im in im 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 1 into 1 16.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.197 * [taylor]: Taking taylor expansion of re in im 16.197 * [backup-simplify]: Simplify re into re 16.197 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.197 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.197 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.197 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.198 * [backup-simplify]: Simplify (+ 0 0) into 0 16.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.198 * [taylor]: Taking taylor expansion of im in re 16.198 * [backup-simplify]: Simplify im into im 16.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.198 * [taylor]: Taking taylor expansion of re in re 16.198 * [backup-simplify]: Simplify 0 into 0 16.198 * [backup-simplify]: Simplify 1 into 1 16.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.198 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.198 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.198 * [backup-simplify]: Simplify (+ 0 0) into 0 16.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.199 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.199 * [taylor]: Taking taylor expansion of im in re 16.199 * [backup-simplify]: Simplify im into im 16.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.199 * [taylor]: Taking taylor expansion of re in re 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 1 into 1 16.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.199 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.199 * [backup-simplify]: Simplify (+ 0 0) into 0 16.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.199 * [taylor]: Taking taylor expansion of im in im 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 1 into 1 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [taylor]: Taking taylor expansion of 0 in im 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 1 into 1 16.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.200 * [backup-simplify]: Simplify (* 1 1) into 1 16.200 * [backup-simplify]: Simplify (+ 0 1) into 1 16.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.201 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.201 * [taylor]: Taking taylor expansion of 1/2 in im 16.201 * [backup-simplify]: Simplify 1/2 into 1/2 16.201 * [taylor]: Taking taylor expansion of im in im 16.201 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify 1 into 1 16.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.203 * [backup-simplify]: Simplify (+ 0 0) into 0 16.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.203 * [taylor]: Taking taylor expansion of 0 in im 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify 0 into 0 16.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.204 * [backup-simplify]: Simplify 0 into 0 16.204 * [backup-simplify]: Simplify 0 into 0 16.204 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.204 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.204 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.204 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.204 * [taylor]: Taking taylor expansion of re in im 16.204 * [backup-simplify]: Simplify re into re 16.204 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.204 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.205 * [taylor]: Taking taylor expansion of im in im 16.205 * [backup-simplify]: Simplify 0 into 0 16.205 * [backup-simplify]: Simplify 1 into 1 16.205 * [backup-simplify]: Simplify (* 1 1) into 1 16.205 * [backup-simplify]: Simplify (/ 1 1) into 1 16.205 * [backup-simplify]: Simplify (+ 0 1) into 1 16.206 * [backup-simplify]: Simplify (sqrt 1) into 1 16.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.207 * [backup-simplify]: Simplify (+ 0 0) into 0 16.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.207 * [taylor]: Taking taylor expansion of re in re 16.207 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify 1 into 1 16.208 * [backup-simplify]: Simplify (* 1 1) into 1 16.208 * [backup-simplify]: Simplify (/ 1 1) into 1 16.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.208 * [taylor]: Taking taylor expansion of im in re 16.208 * [backup-simplify]: Simplify im into im 16.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.208 * [backup-simplify]: Simplify (+ 1 0) into 1 16.209 * [backup-simplify]: Simplify (sqrt 1) into 1 16.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.210 * [backup-simplify]: Simplify (+ 0 0) into 0 16.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.210 * [taylor]: Taking taylor expansion of re in re 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 1 into 1 16.210 * [backup-simplify]: Simplify (* 1 1) into 1 16.211 * [backup-simplify]: Simplify (/ 1 1) into 1 16.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.211 * [taylor]: Taking taylor expansion of im in re 16.211 * [backup-simplify]: Simplify im into im 16.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.211 * [backup-simplify]: Simplify (+ 1 0) into 1 16.211 * [backup-simplify]: Simplify (sqrt 1) into 1 16.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.212 * [backup-simplify]: Simplify (+ 0 0) into 0 16.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.213 * [taylor]: Taking taylor expansion of 1 in im 16.213 * [backup-simplify]: Simplify 1 into 1 16.213 * [taylor]: Taking taylor expansion of 0 in im 16.213 * [backup-simplify]: Simplify 0 into 0 16.213 * [backup-simplify]: Simplify 1 into 1 16.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.215 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.215 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.215 * [taylor]: Taking taylor expansion of 1/2 in im 16.215 * [backup-simplify]: Simplify 1/2 into 1/2 16.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.215 * [taylor]: Taking taylor expansion of im in im 16.215 * [backup-simplify]: Simplify 0 into 0 16.215 * [backup-simplify]: Simplify 1 into 1 16.215 * [backup-simplify]: Simplify (* 1 1) into 1 16.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.218 * [backup-simplify]: Simplify (+ 0 0) into 0 16.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.219 * [taylor]: Taking taylor expansion of 0 in im 16.219 * [backup-simplify]: Simplify 0 into 0 16.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.220 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.220 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.220 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.220 * [taylor]: Taking taylor expansion of re in im 16.220 * [backup-simplify]: Simplify re into re 16.220 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.220 * [taylor]: Taking taylor expansion of im in im 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 1 into 1 16.221 * [backup-simplify]: Simplify (* 1 1) into 1 16.221 * [backup-simplify]: Simplify (/ 1 1) into 1 16.221 * [backup-simplify]: Simplify (+ 0 1) into 1 16.221 * [backup-simplify]: Simplify (sqrt 1) into 1 16.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.222 * [backup-simplify]: Simplify (+ 0 0) into 0 16.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.223 * [taylor]: Taking taylor expansion of re in re 16.223 * [backup-simplify]: Simplify 0 into 0 16.223 * [backup-simplify]: Simplify 1 into 1 16.223 * [backup-simplify]: Simplify (* 1 1) into 1 16.223 * [backup-simplify]: Simplify (/ 1 1) into 1 16.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.223 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.223 * [taylor]: Taking taylor expansion of im in re 16.223 * [backup-simplify]: Simplify im into im 16.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.224 * [backup-simplify]: Simplify (+ 1 0) into 1 16.224 * [backup-simplify]: Simplify (sqrt 1) into 1 16.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.226 * [backup-simplify]: Simplify (+ 0 0) into 0 16.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.227 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.227 * [taylor]: Taking taylor expansion of re in re 16.227 * [backup-simplify]: Simplify 0 into 0 16.227 * [backup-simplify]: Simplify 1 into 1 16.227 * [backup-simplify]: Simplify (* 1 1) into 1 16.227 * [backup-simplify]: Simplify (/ 1 1) into 1 16.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.228 * [taylor]: Taking taylor expansion of im in re 16.228 * [backup-simplify]: Simplify im into im 16.228 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.228 * [backup-simplify]: Simplify (+ 1 0) into 1 16.228 * [backup-simplify]: Simplify (sqrt 1) into 1 16.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.230 * [backup-simplify]: Simplify (+ 0 0) into 0 16.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.231 * [taylor]: Taking taylor expansion of 1 in im 16.231 * [backup-simplify]: Simplify 1 into 1 16.231 * [taylor]: Taking taylor expansion of 0 in im 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify 1 into 1 16.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.234 * [taylor]: Taking taylor expansion of 1/2 in im 16.234 * [backup-simplify]: Simplify 1/2 into 1/2 16.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.235 * [taylor]: Taking taylor expansion of im in im 16.235 * [backup-simplify]: Simplify 0 into 0 16.235 * [backup-simplify]: Simplify 1 into 1 16.235 * [backup-simplify]: Simplify (* 1 1) into 1 16.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.237 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify 0 into 0 16.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.240 * [backup-simplify]: Simplify (+ 0 0) into 0 16.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.240 * [taylor]: Taking taylor expansion of 0 in im 16.240 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.243 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 16.243 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.243 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.243 * [taylor]: Taking taylor expansion of im in im 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 1 into 1 16.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.243 * [taylor]: Taking taylor expansion of re in im 16.243 * [backup-simplify]: Simplify re into re 16.243 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.244 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.244 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.244 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.244 * [backup-simplify]: Simplify (+ 0 0) into 0 16.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.244 * [taylor]: Taking taylor expansion of im in re 16.244 * [backup-simplify]: Simplify im into im 16.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.244 * [taylor]: Taking taylor expansion of re in re 16.245 * [backup-simplify]: Simplify 0 into 0 16.245 * [backup-simplify]: Simplify 1 into 1 16.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.245 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.245 * [backup-simplify]: Simplify (+ 0 0) into 0 16.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.245 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.246 * [taylor]: Taking taylor expansion of im in re 16.246 * [backup-simplify]: Simplify im into im 16.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.246 * [taylor]: Taking taylor expansion of re in re 16.246 * [backup-simplify]: Simplify 0 into 0 16.246 * [backup-simplify]: Simplify 1 into 1 16.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.246 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.246 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.246 * [backup-simplify]: Simplify (+ 0 0) into 0 16.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.247 * [taylor]: Taking taylor expansion of im in im 16.247 * [backup-simplify]: Simplify 0 into 0 16.247 * [backup-simplify]: Simplify 1 into 1 16.247 * [backup-simplify]: Simplify 0 into 0 16.247 * [taylor]: Taking taylor expansion of 0 in im 16.247 * [backup-simplify]: Simplify 0 into 0 16.247 * [backup-simplify]: Simplify 0 into 0 16.247 * [backup-simplify]: Simplify 1 into 1 16.247 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.248 * [backup-simplify]: Simplify (* 1 1) into 1 16.248 * [backup-simplify]: Simplify (+ 0 1) into 1 16.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.249 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.249 * [taylor]: Taking taylor expansion of 1/2 in im 16.249 * [backup-simplify]: Simplify 1/2 into 1/2 16.249 * [taylor]: Taking taylor expansion of im in im 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify 0 into 0 16.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.252 * [backup-simplify]: Simplify (+ 0 0) into 0 16.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.253 * [taylor]: Taking taylor expansion of 0 in im 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.254 * [taylor]: Taking taylor expansion of re in im 16.254 * [backup-simplify]: Simplify re into re 16.254 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.254 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.254 * [taylor]: Taking taylor expansion of im in im 16.254 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify 1 into 1 16.254 * [backup-simplify]: Simplify (* 1 1) into 1 16.255 * [backup-simplify]: Simplify (/ 1 1) into 1 16.255 * [backup-simplify]: Simplify (+ 0 1) into 1 16.255 * [backup-simplify]: Simplify (sqrt 1) into 1 16.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.256 * [backup-simplify]: Simplify (+ 0 0) into 0 16.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.257 * [taylor]: Taking taylor expansion of re in re 16.257 * [backup-simplify]: Simplify 0 into 0 16.257 * [backup-simplify]: Simplify 1 into 1 16.257 * [backup-simplify]: Simplify (* 1 1) into 1 16.257 * [backup-simplify]: Simplify (/ 1 1) into 1 16.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.257 * [taylor]: Taking taylor expansion of im in re 16.257 * [backup-simplify]: Simplify im into im 16.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.258 * [backup-simplify]: Simplify (+ 1 0) into 1 16.258 * [backup-simplify]: Simplify (sqrt 1) into 1 16.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.259 * [backup-simplify]: Simplify (+ 0 0) into 0 16.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.259 * [taylor]: Taking taylor expansion of re in re 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify 1 into 1 16.260 * [backup-simplify]: Simplify (* 1 1) into 1 16.260 * [backup-simplify]: Simplify (/ 1 1) into 1 16.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.260 * [taylor]: Taking taylor expansion of im in re 16.260 * [backup-simplify]: Simplify im into im 16.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.260 * [backup-simplify]: Simplify (+ 1 0) into 1 16.261 * [backup-simplify]: Simplify (sqrt 1) into 1 16.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.262 * [backup-simplify]: Simplify (+ 0 0) into 0 16.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.262 * [taylor]: Taking taylor expansion of 1 in im 16.262 * [backup-simplify]: Simplify 1 into 1 16.262 * [taylor]: Taking taylor expansion of 0 in im 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [backup-simplify]: Simplify 1 into 1 16.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.264 * [taylor]: Taking taylor expansion of 1/2 in im 16.264 * [backup-simplify]: Simplify 1/2 into 1/2 16.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.264 * [taylor]: Taking taylor expansion of im in im 16.264 * [backup-simplify]: Simplify 0 into 0 16.264 * [backup-simplify]: Simplify 1 into 1 16.265 * [backup-simplify]: Simplify (* 1 1) into 1 16.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.268 * [backup-simplify]: Simplify (+ 0 0) into 0 16.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.268 * [taylor]: Taking taylor expansion of 0 in im 16.268 * [backup-simplify]: Simplify 0 into 0 16.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.270 * [taylor]: Taking taylor expansion of re in im 16.270 * [backup-simplify]: Simplify re into re 16.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.270 * [taylor]: Taking taylor expansion of im in im 16.270 * [backup-simplify]: Simplify 0 into 0 16.270 * [backup-simplify]: Simplify 1 into 1 16.270 * [backup-simplify]: Simplify (* 1 1) into 1 16.270 * [backup-simplify]: Simplify (/ 1 1) into 1 16.271 * [backup-simplify]: Simplify (+ 0 1) into 1 16.271 * [backup-simplify]: Simplify (sqrt 1) into 1 16.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.272 * [backup-simplify]: Simplify (+ 0 0) into 0 16.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.272 * [taylor]: Taking taylor expansion of re in re 16.272 * [backup-simplify]: Simplify 0 into 0 16.272 * [backup-simplify]: Simplify 1 into 1 16.273 * [backup-simplify]: Simplify (* 1 1) into 1 16.273 * [backup-simplify]: Simplify (/ 1 1) into 1 16.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.273 * [taylor]: Taking taylor expansion of im in re 16.273 * [backup-simplify]: Simplify im into im 16.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.273 * [backup-simplify]: Simplify (+ 1 0) into 1 16.274 * [backup-simplify]: Simplify (sqrt 1) into 1 16.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.275 * [backup-simplify]: Simplify (+ 0 0) into 0 16.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.275 * [taylor]: Taking taylor expansion of re in re 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [backup-simplify]: Simplify 1 into 1 16.276 * [backup-simplify]: Simplify (* 1 1) into 1 16.276 * [backup-simplify]: Simplify (/ 1 1) into 1 16.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.276 * [taylor]: Taking taylor expansion of im in re 16.276 * [backup-simplify]: Simplify im into im 16.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.276 * [backup-simplify]: Simplify (+ 1 0) into 1 16.277 * [backup-simplify]: Simplify (sqrt 1) into 1 16.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.278 * [backup-simplify]: Simplify (+ 0 0) into 0 16.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.278 * [taylor]: Taking taylor expansion of 1 in im 16.278 * [backup-simplify]: Simplify 1 into 1 16.278 * [taylor]: Taking taylor expansion of 0 in im 16.278 * [backup-simplify]: Simplify 0 into 0 16.278 * [backup-simplify]: Simplify 1 into 1 16.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.280 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.280 * [taylor]: Taking taylor expansion of 1/2 in im 16.280 * [backup-simplify]: Simplify 1/2 into 1/2 16.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.280 * [taylor]: Taking taylor expansion of im in im 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify 1 into 1 16.281 * [backup-simplify]: Simplify (* 1 1) into 1 16.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.283 * [backup-simplify]: Simplify 0 into 0 16.283 * [backup-simplify]: Simplify 0 into 0 16.283 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.286 * [backup-simplify]: Simplify (+ 0 0) into 0 16.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.287 * [taylor]: Taking taylor expansion of 0 in im 16.287 * [backup-simplify]: Simplify 0 into 0 16.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 16.289 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 16.289 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 16.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 16.290 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 16.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.290 * [taylor]: Taking taylor expansion of im in im 16.290 * [backup-simplify]: Simplify 0 into 0 16.290 * [backup-simplify]: Simplify 1 into 1 16.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.290 * [taylor]: Taking taylor expansion of re in im 16.290 * [backup-simplify]: Simplify re into re 16.290 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.290 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 16.290 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.290 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.290 * [backup-simplify]: Simplify (+ 0 0) into 0 16.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.291 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.291 * [taylor]: Taking taylor expansion of im in re 16.291 * [backup-simplify]: Simplify im into im 16.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.291 * [taylor]: Taking taylor expansion of re in re 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.291 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.291 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.292 * [backup-simplify]: Simplify (+ 0 0) into 0 16.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 16.292 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 16.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.292 * [taylor]: Taking taylor expansion of im in re 16.292 * [backup-simplify]: Simplify im into im 16.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.292 * [taylor]: Taking taylor expansion of re in re 16.292 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify 1 into 1 16.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.292 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 16.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.293 * [backup-simplify]: Simplify (+ 0 0) into 0 16.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.293 * [taylor]: Taking taylor expansion of im in im 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 1 into 1 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [taylor]: Taking taylor expansion of 0 in im 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 1 into 1 16.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.294 * [backup-simplify]: Simplify (* 1 1) into 1 16.294 * [backup-simplify]: Simplify (+ 0 1) into 1 16.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.295 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.295 * [taylor]: Taking taylor expansion of 1/2 in im 16.295 * [backup-simplify]: Simplify 1/2 into 1/2 16.295 * [taylor]: Taking taylor expansion of im in im 16.295 * [backup-simplify]: Simplify 0 into 0 16.295 * [backup-simplify]: Simplify 1 into 1 16.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.299 * [backup-simplify]: Simplify (+ 0 0) into 0 16.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.299 * [taylor]: Taking taylor expansion of 0 in im 16.300 * [backup-simplify]: Simplify 0 into 0 16.300 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.301 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.301 * [taylor]: Taking taylor expansion of re in im 16.301 * [backup-simplify]: Simplify re into re 16.301 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.302 * [taylor]: Taking taylor expansion of im in im 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify 1 into 1 16.302 * [backup-simplify]: Simplify (* 1 1) into 1 16.302 * [backup-simplify]: Simplify (/ 1 1) into 1 16.303 * [backup-simplify]: Simplify (+ 0 1) into 1 16.303 * [backup-simplify]: Simplify (sqrt 1) into 1 16.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.305 * [backup-simplify]: Simplify (+ 0 0) into 0 16.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.306 * [taylor]: Taking taylor expansion of re in re 16.306 * [backup-simplify]: Simplify 0 into 0 16.306 * [backup-simplify]: Simplify 1 into 1 16.307 * [backup-simplify]: Simplify (* 1 1) into 1 16.307 * [backup-simplify]: Simplify (/ 1 1) into 1 16.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.307 * [taylor]: Taking taylor expansion of im in re 16.307 * [backup-simplify]: Simplify im into im 16.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.308 * [backup-simplify]: Simplify (+ 1 0) into 1 16.308 * [backup-simplify]: Simplify (sqrt 1) into 1 16.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.310 * [backup-simplify]: Simplify (+ 0 0) into 0 16.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.311 * [taylor]: Taking taylor expansion of re in re 16.311 * [backup-simplify]: Simplify 0 into 0 16.311 * [backup-simplify]: Simplify 1 into 1 16.311 * [backup-simplify]: Simplify (* 1 1) into 1 16.312 * [backup-simplify]: Simplify (/ 1 1) into 1 16.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.312 * [taylor]: Taking taylor expansion of im in re 16.312 * [backup-simplify]: Simplify im into im 16.312 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.312 * [backup-simplify]: Simplify (+ 1 0) into 1 16.314 * [backup-simplify]: Simplify (sqrt 1) into 1 16.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.315 * [backup-simplify]: Simplify (+ 0 0) into 0 16.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.316 * [taylor]: Taking taylor expansion of 1 in im 16.316 * [backup-simplify]: Simplify 1 into 1 16.316 * [taylor]: Taking taylor expansion of 0 in im 16.316 * [backup-simplify]: Simplify 0 into 0 16.316 * [backup-simplify]: Simplify 1 into 1 16.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.318 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.318 * [taylor]: Taking taylor expansion of 1/2 in im 16.318 * [backup-simplify]: Simplify 1/2 into 1/2 16.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.318 * [taylor]: Taking taylor expansion of im in im 16.318 * [backup-simplify]: Simplify 0 into 0 16.318 * [backup-simplify]: Simplify 1 into 1 16.318 * [backup-simplify]: Simplify (* 1 1) into 1 16.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.320 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.321 * [backup-simplify]: Simplify (+ 0 0) into 0 16.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.322 * [taylor]: Taking taylor expansion of 0 in im 16.322 * [backup-simplify]: Simplify 0 into 0 16.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.323 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 16.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 16.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 16.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 16.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 16.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 16.323 * [taylor]: Taking taylor expansion of re in im 16.323 * [backup-simplify]: Simplify re into re 16.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 16.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.323 * [taylor]: Taking taylor expansion of im in im 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify 1 into 1 16.324 * [backup-simplify]: Simplify (* 1 1) into 1 16.324 * [backup-simplify]: Simplify (/ 1 1) into 1 16.324 * [backup-simplify]: Simplify (+ 0 1) into 1 16.324 * [backup-simplify]: Simplify (sqrt 1) into 1 16.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.326 * [backup-simplify]: Simplify (+ 0 0) into 0 16.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.326 * [taylor]: Taking taylor expansion of re in re 16.326 * [backup-simplify]: Simplify 0 into 0 16.326 * [backup-simplify]: Simplify 1 into 1 16.326 * [backup-simplify]: Simplify (* 1 1) into 1 16.327 * [backup-simplify]: Simplify (/ 1 1) into 1 16.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.327 * [taylor]: Taking taylor expansion of im in re 16.327 * [backup-simplify]: Simplify im into im 16.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.327 * [backup-simplify]: Simplify (+ 1 0) into 1 16.327 * [backup-simplify]: Simplify (sqrt 1) into 1 16.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.328 * [backup-simplify]: Simplify (+ 0 0) into 0 16.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 16.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 16.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 16.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 16.329 * [taylor]: Taking taylor expansion of re in re 16.329 * [backup-simplify]: Simplify 0 into 0 16.329 * [backup-simplify]: Simplify 1 into 1 16.329 * [backup-simplify]: Simplify (* 1 1) into 1 16.329 * [backup-simplify]: Simplify (/ 1 1) into 1 16.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 16.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 16.329 * [taylor]: Taking taylor expansion of im in re 16.329 * [backup-simplify]: Simplify im into im 16.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 16.330 * [backup-simplify]: Simplify (+ 1 0) into 1 16.330 * [backup-simplify]: Simplify (sqrt 1) into 1 16.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (+ 0 0) into 0 16.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.332 * [taylor]: Taking taylor expansion of 1 in im 16.332 * [backup-simplify]: Simplify 1 into 1 16.332 * [taylor]: Taking taylor expansion of 0 in im 16.332 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify 1 into 1 16.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.334 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.334 * [taylor]: Taking taylor expansion of 1/2 in im 16.334 * [backup-simplify]: Simplify 1/2 into 1/2 16.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.334 * [taylor]: Taking taylor expansion of im in im 16.334 * [backup-simplify]: Simplify 0 into 0 16.334 * [backup-simplify]: Simplify 1 into 1 16.334 * [backup-simplify]: Simplify (* 1 1) into 1 16.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 16.337 * [backup-simplify]: Simplify (+ 0 0) into 0 16.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.337 * [taylor]: Taking taylor expansion of 0 in im 16.337 * [backup-simplify]: Simplify 0 into 0 16.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.338 * [backup-simplify]: Simplify 0 into 0 16.339 * [backup-simplify]: Simplify 0 into 0 16.339 * [backup-simplify]: Simplify 0 into 0 16.339 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.339 * * * [progress]: simplifying candidates 16.339 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 16.339 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 16.339 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.339 * * [simplify]: iters left: 6 (8 enodes) 16.341 * * [simplify]: iters left: 5 (26 enodes) 16.345 * * [simplify]: Extracting #0: cost 1 inf + 0 16.345 * * [simplify]: Extracting #1: cost 4 inf + 0 16.345 * * [simplify]: Extracting #2: cost 7 inf + 0 16.345 * * [simplify]: Extracting #3: cost 10 inf + 0 16.345 * * [simplify]: Extracting #4: cost 14 inf + 0 16.345 * * [simplify]: Extracting #5: cost 10 inf + 84 16.345 * * [simplify]: Extracting #6: cost 8 inf + 166 16.345 * * [simplify]: Extracting #7: cost 4 inf + 854 16.346 * * [simplify]: Extracting #8: cost 1 inf + 1540 16.346 * * [simplify]: Extracting #9: cost 0 inf + 1782 16.346 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 16.346 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re))))) 16.346 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 16.347 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 16.347 * * [simplify]: iters left: 6 (7 enodes) 16.348 * * [simplify]: iters left: 5 (22 enodes) 16.351 * * [simplify]: Extracting #0: cost 1 inf + 0 16.351 * * [simplify]: Extracting #1: cost 3 inf + 0 16.352 * * [simplify]: Extracting #2: cost 5 inf + 0 16.352 * * [simplify]: Extracting #3: cost 8 inf + 0 16.352 * * [simplify]: Extracting #4: cost 12 inf + 0 16.352 * * [simplify]: Extracting #5: cost 10 inf + 2 16.352 * * [simplify]: Extracting #6: cost 1 inf + 936 16.352 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.352 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 16.352 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re))))) 16.352 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 16.353 * [simplify]: Simplifying (sqrt 1) 16.353 * * [simplify]: iters left: 1 (2 enodes) 16.355 * * [simplify]: Extracting #0: cost 1 inf + 0 16.355 * * [simplify]: Extracting #1: cost 0 inf + 1 16.355 * [simplify]: Simplified to 1 16.355 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (* 1 (sqrt (+ (* re re) (* im im))))))) re))))) 16.355 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 16.356 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.356 * * [simplify]: iters left: 6 (9 enodes) 16.359 * * [simplify]: iters left: 5 (45 enodes) 16.370 * * [simplify]: iters left: 4 (100 enodes) 16.396 * * [simplify]: iters left: 3 (201 enodes) 16.468 * * [simplify]: iters left: 2 (406 enodes) 16.635 * * [simplify]: Extracting #0: cost 1 inf + 0 16.635 * * [simplify]: Extracting #1: cost 3 inf + 0 16.635 * * [simplify]: Extracting #2: cost 6 inf + 0 16.635 * * [simplify]: Extracting #3: cost 80 inf + 0 16.637 * * [simplify]: Extracting #4: cost 189 inf + 460 16.638 * * [simplify]: Extracting #5: cost 168 inf + 4664 16.645 * * [simplify]: Extracting #6: cost 84 inf + 34209 16.655 * * [simplify]: Extracting #7: cost 2 inf + 72608 16.667 * * [simplify]: Extracting #8: cost 0 inf + 73363 16.678 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 16.678 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re))))) 16.679 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 16.679 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.679 * * [simplify]: iters left: 6 (8 enodes) 16.684 * * [simplify]: iters left: 5 (37 enodes) 16.697 * * [simplify]: iters left: 4 (67 enodes) 16.709 * * [simplify]: iters left: 3 (123 enodes) 16.745 * * [simplify]: iters left: 2 (278 enodes) 16.891 * * [simplify]: Extracting #0: cost 1 inf + 0 16.891 * * [simplify]: Extracting #1: cost 3 inf + 0 16.891 * * [simplify]: Extracting #2: cost 50 inf + 0 16.891 * * [simplify]: Extracting #3: cost 150 inf + 0 16.892 * * [simplify]: Extracting #4: cost 194 inf + 1180 16.895 * * [simplify]: Extracting #5: cost 123 inf + 12421 16.901 * * [simplify]: Extracting #6: cost 12 inf + 33804 16.908 * * [simplify]: Extracting #7: cost 0 inf + 36129 16.918 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 16.918 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re))))) 16.918 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 16.919 * [simplify]: Simplifying (+ (* re re) (* im im)) 16.919 * * [simplify]: iters left: 4 (5 enodes) 16.920 * * [simplify]: iters left: 3 (16 enodes) 16.924 * * [simplify]: Extracting #0: cost 1 inf + 0 16.924 * * [simplify]: Extracting #1: cost 4 inf + 0 16.924 * * [simplify]: Extracting #2: cost 8 inf + 0 16.925 * * [simplify]: Extracting #3: cost 4 inf + 84 16.925 * * [simplify]: Extracting #4: cost 0 inf + 410 16.925 * [simplify]: Simplified to (+ (* re re) (* im im)) 16.925 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re))))) 16.925 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 16.925 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 16.926 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 16.926 * * [simplify]: iters left: 5 (6 enodes) 16.929 * * [simplify]: iters left: 4 (19 enodes) 16.934 * * [simplify]: Extracting #0: cost 1 inf + 0 16.934 * * [simplify]: Extracting #1: cost 3 inf + 0 16.934 * * [simplify]: Extracting #2: cost 6 inf + 0 16.934 * * [simplify]: Extracting #3: cost 10 inf + 0 16.935 * * [simplify]: Extracting #4: cost 6 inf + 84 16.935 * * [simplify]: Extracting #5: cost 0 inf + 734 16.935 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 16.935 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (fabs (sqrt (+ (* re re) (* im im))))))) re))))) 16.936 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))> 16.936 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 16.936 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 16.937 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 16.937 * * [simplify]: iters left: 6 (8 enodes) 16.941 * * [simplify]: iters left: 5 (26 enodes) 16.948 * * [simplify]: Extracting #0: cost 1 inf + 0 16.949 * * [simplify]: Extracting #1: cost 4 inf + 0 16.949 * * [simplify]: Extracting #2: cost 7 inf + 0 16.949 * * [simplify]: Extracting #3: cost 10 inf + 0 16.949 * * [simplify]: Extracting #4: cost 14 inf + 0 16.949 * * [simplify]: Extracting #5: cost 10 inf + 84 16.949 * * [simplify]: Extracting #6: cost 8 inf + 166 16.949 * * [simplify]: Extracting #7: cost 4 inf + 854 16.950 * * [simplify]: Extracting #8: cost 1 inf + 1540 16.950 * * [simplify]: Extracting #9: cost 0 inf + 1782 16.951 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 16.951 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.951 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 16.952 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 16.952 * * [simplify]: iters left: 6 (7 enodes) 16.955 * * [simplify]: iters left: 5 (22 enodes) 16.962 * * [simplify]: Extracting #0: cost 1 inf + 0 16.962 * * [simplify]: Extracting #1: cost 3 inf + 0 16.962 * * [simplify]: Extracting #2: cost 5 inf + 0 16.962 * * [simplify]: Extracting #3: cost 8 inf + 0 16.962 * * [simplify]: Extracting #4: cost 12 inf + 0 16.962 * * [simplify]: Extracting #5: cost 10 inf + 2 16.962 * * [simplify]: Extracting #6: cost 1 inf + 936 16.963 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.963 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 16.963 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.963 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 16.964 * [simplify]: Simplifying (sqrt 1) 16.964 * * [simplify]: iters left: 1 (2 enodes) 16.967 * * [simplify]: Extracting #0: cost 1 inf + 0 16.967 * * [simplify]: Extracting #1: cost 0 inf + 1 16.967 * [simplify]: Simplified to 1 16.967 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 16.968 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 16.968 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 16.968 * * [simplify]: iters left: 6 (9 enodes) 16.974 * * [simplify]: iters left: 5 (45 enodes) 16.995 * * [simplify]: iters left: 4 (100 enodes) 17.024 * * [simplify]: iters left: 3 (201 enodes) 17.072 * * [simplify]: iters left: 2 (406 enodes) 17.268 * * [simplify]: Extracting #0: cost 1 inf + 0 17.268 * * [simplify]: Extracting #1: cost 3 inf + 0 17.268 * * [simplify]: Extracting #2: cost 6 inf + 0 17.268 * * [simplify]: Extracting #3: cost 80 inf + 0 17.269 * * [simplify]: Extracting #4: cost 189 inf + 460 17.270 * * [simplify]: Extracting #5: cost 168 inf + 4664 17.272 * * [simplify]: Extracting #6: cost 84 inf + 34209 17.277 * * [simplify]: Extracting #7: cost 2 inf + 72608 17.283 * * [simplify]: Extracting #8: cost 0 inf + 73363 17.288 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 17.288 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.289 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 17.289 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.289 * * [simplify]: iters left: 6 (8 enodes) 17.291 * * [simplify]: iters left: 5 (37 enodes) 17.300 * * [simplify]: iters left: 4 (67 enodes) 17.324 * * [simplify]: iters left: 3 (123 enodes) 17.366 * * [simplify]: iters left: 2 (278 enodes) 17.486 * * [simplify]: Extracting #0: cost 1 inf + 0 17.486 * * [simplify]: Extracting #1: cost 3 inf + 0 17.486 * * [simplify]: Extracting #2: cost 50 inf + 0 17.487 * * [simplify]: Extracting #3: cost 150 inf + 0 17.488 * * [simplify]: Extracting #4: cost 194 inf + 1180 17.490 * * [simplify]: Extracting #5: cost 123 inf + 12421 17.501 * * [simplify]: Extracting #6: cost 12 inf + 33804 17.516 * * [simplify]: Extracting #7: cost 0 inf + 36129 17.532 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.532 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.532 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 17.533 * [simplify]: Simplifying (+ (* re re) (* im im)) 17.533 * * [simplify]: iters left: 4 (5 enodes) 17.535 * * [simplify]: iters left: 3 (16 enodes) 17.544 * * [simplify]: Extracting #0: cost 1 inf + 0 17.544 * * [simplify]: Extracting #1: cost 4 inf + 0 17.544 * * [simplify]: Extracting #2: cost 8 inf + 0 17.544 * * [simplify]: Extracting #3: cost 4 inf + 84 17.544 * * [simplify]: Extracting #4: cost 0 inf + 410 17.544 * [simplify]: Simplified to (+ (* re re) (* im im)) 17.544 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.545 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 17.545 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 17.545 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 17.545 * * [simplify]: iters left: 5 (6 enodes) 17.548 * * [simplify]: iters left: 4 (19 enodes) 17.554 * * [simplify]: Extracting #0: cost 1 inf + 0 17.554 * * [simplify]: Extracting #1: cost 3 inf + 0 17.554 * * [simplify]: Extracting #2: cost 6 inf + 0 17.555 * * [simplify]: Extracting #3: cost 10 inf + 0 17.555 * * [simplify]: Extracting #4: cost 6 inf + 84 17.555 * * [simplify]: Extracting #5: cost 0 inf + 734 17.555 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 17.555 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.556 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> 17.556 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 17.556 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 17.557 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 17.557 * * [simplify]: iters left: 6 (8 enodes) 17.561 * * [simplify]: iters left: 5 (26 enodes) 17.568 * * [simplify]: Extracting #0: cost 1 inf + 0 17.568 * * [simplify]: Extracting #1: cost 4 inf + 0 17.568 * * [simplify]: Extracting #2: cost 7 inf + 0 17.568 * * [simplify]: Extracting #3: cost 10 inf + 0 17.568 * * [simplify]: Extracting #4: cost 14 inf + 0 17.568 * * [simplify]: Extracting #5: cost 10 inf + 84 17.568 * * [simplify]: Extracting #6: cost 8 inf + 166 17.569 * * [simplify]: Extracting #7: cost 4 inf + 854 17.569 * * [simplify]: Extracting #8: cost 1 inf + 1540 17.570 * * [simplify]: Extracting #9: cost 0 inf + 1782 17.570 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 17.570 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.571 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 17.571 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 17.571 * * [simplify]: iters left: 6 (7 enodes) 17.574 * * [simplify]: iters left: 5 (22 enodes) 17.581 * * [simplify]: Extracting #0: cost 1 inf + 0 17.581 * * [simplify]: Extracting #1: cost 3 inf + 0 17.581 * * [simplify]: Extracting #2: cost 5 inf + 0 17.581 * * [simplify]: Extracting #3: cost 8 inf + 0 17.581 * * [simplify]: Extracting #4: cost 12 inf + 0 17.581 * * [simplify]: Extracting #5: cost 10 inf + 2 17.582 * * [simplify]: Extracting #6: cost 1 inf + 936 17.582 * * [simplify]: Extracting #7: cost 0 inf + 1138 17.582 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 17.583 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.583 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 17.583 * [simplify]: Simplifying (sqrt 1) 17.583 * * [simplify]: iters left: 1 (2 enodes) 17.586 * * [simplify]: Extracting #0: cost 1 inf + 0 17.587 * * [simplify]: Extracting #1: cost 0 inf + 1 17.587 * [simplify]: Simplified to 1 17.587 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.587 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 17.587 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 17.587 * * [simplify]: iters left: 6 (9 enodes) 17.593 * * [simplify]: iters left: 5 (45 enodes) 17.615 * * [simplify]: iters left: 4 (100 enodes) 17.646 * * [simplify]: iters left: 3 (201 enodes) 17.731 * * [simplify]: iters left: 2 (406 enodes) 17.910 * * [simplify]: Extracting #0: cost 1 inf + 0 17.910 * * [simplify]: Extracting #1: cost 3 inf + 0 17.911 * * [simplify]: Extracting #2: cost 6 inf + 0 17.911 * * [simplify]: Extracting #3: cost 80 inf + 0 17.911 * * [simplify]: Extracting #4: cost 189 inf + 460 17.912 * * [simplify]: Extracting #5: cost 168 inf + 4664 17.915 * * [simplify]: Extracting #6: cost 84 inf + 34209 17.920 * * [simplify]: Extracting #7: cost 2 inf + 72608 17.926 * * [simplify]: Extracting #8: cost 0 inf + 73363 17.932 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 17.932 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 17.932 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 17.932 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 17.932 * * [simplify]: iters left: 6 (8 enodes) 17.935 * * [simplify]: iters left: 5 (37 enodes) 17.942 * * [simplify]: iters left: 4 (67 enodes) 17.955 * * [simplify]: iters left: 3 (123 enodes) 17.987 * * [simplify]: iters left: 2 (278 enodes) 18.124 * * [simplify]: Extracting #0: cost 1 inf + 0 18.124 * * [simplify]: Extracting #1: cost 3 inf + 0 18.124 * * [simplify]: Extracting #2: cost 50 inf + 0 18.124 * * [simplify]: Extracting #3: cost 150 inf + 0 18.125 * * [simplify]: Extracting #4: cost 194 inf + 1180 18.128 * * [simplify]: Extracting #5: cost 123 inf + 12421 18.134 * * [simplify]: Extracting #6: cost 12 inf + 33804 18.141 * * [simplify]: Extracting #7: cost 0 inf + 36129 18.149 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.149 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.150 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 18.150 * [simplify]: Simplifying (+ (* re re) (* im im)) 18.150 * * [simplify]: iters left: 4 (5 enodes) 18.151 * * [simplify]: iters left: 3 (16 enodes) 18.154 * * [simplify]: Extracting #0: cost 1 inf + 0 18.154 * * [simplify]: Extracting #1: cost 4 inf + 0 18.154 * * [simplify]: Extracting #2: cost 8 inf + 0 18.154 * * [simplify]: Extracting #3: cost 4 inf + 84 18.154 * * [simplify]: Extracting #4: cost 0 inf + 410 18.154 * [simplify]: Simplified to (+ (* re re) (* im im)) 18.154 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.154 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 18.154 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 18.154 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 18.155 * * [simplify]: iters left: 5 (6 enodes) 18.156 * * [simplify]: iters left: 4 (19 enodes) 18.162 * * [simplify]: Extracting #0: cost 1 inf + 0 18.162 * * [simplify]: Extracting #1: cost 3 inf + 0 18.162 * * [simplify]: Extracting #2: cost 6 inf + 0 18.162 * * [simplify]: Extracting #3: cost 10 inf + 0 18.162 * * [simplify]: Extracting #4: cost 6 inf + 84 18.162 * * [simplify]: Extracting #5: cost 0 inf + 734 18.162 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 18.162 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.163 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> 18.163 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 18.163 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 18.163 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 18.163 * * [simplify]: iters left: 6 (8 enodes) 18.166 * * [simplify]: iters left: 5 (26 enodes) 18.170 * * [simplify]: Extracting #0: cost 1 inf + 0 18.170 * * [simplify]: Extracting #1: cost 4 inf + 0 18.170 * * [simplify]: Extracting #2: cost 7 inf + 0 18.170 * * [simplify]: Extracting #3: cost 10 inf + 0 18.170 * * [simplify]: Extracting #4: cost 14 inf + 0 18.170 * * [simplify]: Extracting #5: cost 10 inf + 84 18.170 * * [simplify]: Extracting #6: cost 8 inf + 166 18.170 * * [simplify]: Extracting #7: cost 4 inf + 854 18.170 * * [simplify]: Extracting #8: cost 1 inf + 1540 18.171 * * [simplify]: Extracting #9: cost 0 inf + 1782 18.171 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 18.171 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.171 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 18.171 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 18.171 * * [simplify]: iters left: 6 (7 enodes) 18.173 * * [simplify]: iters left: 5 (22 enodes) 18.177 * * [simplify]: Extracting #0: cost 1 inf + 0 18.177 * * [simplify]: Extracting #1: cost 3 inf + 0 18.177 * * [simplify]: Extracting #2: cost 5 inf + 0 18.177 * * [simplify]: Extracting #3: cost 8 inf + 0 18.177 * * [simplify]: Extracting #4: cost 12 inf + 0 18.177 * * [simplify]: Extracting #5: cost 10 inf + 2 18.177 * * [simplify]: Extracting #6: cost 1 inf + 936 18.177 * * [simplify]: Extracting #7: cost 0 inf + 1138 18.177 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 18.177 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.178 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 18.178 * [simplify]: Simplifying (sqrt 1) 18.178 * * [simplify]: iters left: 1 (2 enodes) 18.180 * * [simplify]: Extracting #0: cost 1 inf + 0 18.180 * * [simplify]: Extracting #1: cost 0 inf + 1 18.180 * [simplify]: Simplified to 1 18.180 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.180 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 18.180 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 18.181 * * [simplify]: iters left: 6 (9 enodes) 18.184 * * [simplify]: iters left: 5 (45 enodes) 18.195 * * [simplify]: iters left: 4 (100 enodes) 18.221 * * [simplify]: iters left: 3 (201 enodes) 18.285 * * [simplify]: iters left: 2 (406 enodes) 18.439 * * [simplify]: Extracting #0: cost 1 inf + 0 18.439 * * [simplify]: Extracting #1: cost 3 inf + 0 18.439 * * [simplify]: Extracting #2: cost 6 inf + 0 18.439 * * [simplify]: Extracting #3: cost 80 inf + 0 18.439 * * [simplify]: Extracting #4: cost 189 inf + 460 18.440 * * [simplify]: Extracting #5: cost 168 inf + 4664 18.443 * * [simplify]: Extracting #6: cost 84 inf + 34209 18.448 * * [simplify]: Extracting #7: cost 2 inf + 72608 18.454 * * [simplify]: Extracting #8: cost 0 inf + 73363 18.459 * [simplify]: Simplified to (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) 18.459 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (/ (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.459 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 18.460 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.460 * * [simplify]: iters left: 6 (8 enodes) 18.463 * * [simplify]: iters left: 5 (37 enodes) 18.476 * * [simplify]: iters left: 4 (67 enodes) 18.501 * * [simplify]: iters left: 3 (123 enodes) 18.553 * * [simplify]: iters left: 2 (278 enodes) 18.697 * * [simplify]: Extracting #0: cost 1 inf + 0 18.697 * * [simplify]: Extracting #1: cost 3 inf + 0 18.697 * * [simplify]: Extracting #2: cost 50 inf + 0 18.698 * * [simplify]: Extracting #3: cost 150 inf + 0 18.699 * * [simplify]: Extracting #4: cost 194 inf + 1180 18.702 * * [simplify]: Extracting #5: cost 123 inf + 12421 18.713 * * [simplify]: Extracting #6: cost 12 inf + 33804 18.728 * * [simplify]: Extracting #7: cost 0 inf + 36129 18.743 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 18.743 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.744 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 18.744 * [simplify]: Simplifying (+ (* re re) (* im im)) 18.744 * * [simplify]: iters left: 4 (5 enodes) 18.747 * * [simplify]: iters left: 3 (16 enodes) 18.751 * * [simplify]: Extracting #0: cost 1 inf + 0 18.751 * * [simplify]: Extracting #1: cost 4 inf + 0 18.751 * * [simplify]: Extracting #2: cost 8 inf + 0 18.751 * * [simplify]: Extracting #3: cost 4 inf + 84 18.752 * * [simplify]: Extracting #4: cost 0 inf + 410 18.752 * [simplify]: Simplified to (+ (* re re) (* im im)) 18.752 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.752 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 18.752 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 18.753 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 18.753 * * [simplify]: iters left: 5 (6 enodes) 18.756 * * [simplify]: iters left: 4 (19 enodes) 18.761 * * [simplify]: Extracting #0: cost 1 inf + 0 18.761 * * [simplify]: Extracting #1: cost 3 inf + 0 18.761 * * [simplify]: Extracting #2: cost 6 inf + 0 18.761 * * [simplify]: Extracting #3: cost 10 inf + 0 18.761 * * [simplify]: Extracting #4: cost 6 inf + 84 18.762 * * [simplify]: Extracting #5: cost 0 inf + 734 18.762 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 18.762 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.762 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 18.762 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))> 18.762 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 18.763 * [simplify]: Simplifying im 18.763 * * [simplify]: iters left: 0 (1 enodes) 18.763 * * [simplify]: Extracting #0: cost 1 inf + 0 18.763 * * [simplify]: Extracting #1: cost 0 inf + 1 18.763 * [simplify]: Simplified to im 18.763 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt im))) re))))) 18.764 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 18.764 * [simplify]: Simplifying re 18.764 * * [simplify]: iters left: 0 (1 enodes) 18.765 * * [simplify]: Extracting #0: cost 1 inf + 0 18.765 * * [simplify]: Extracting #1: cost 0 inf + 1 18.765 * [simplify]: Simplified to re 18.765 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt re))) re))))) 18.765 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 18.765 * [simplify]: Simplifying (* -1 re) 18.765 * * [simplify]: iters left: 2 (3 enodes) 18.772 * * [simplify]: iters left: 1 (11 enodes) 18.775 * * [simplify]: Extracting #0: cost 1 inf + 0 18.775 * * [simplify]: Extracting #1: cost 4 inf + 0 18.775 * * [simplify]: Extracting #2: cost 0 inf + 84 18.775 * [simplify]: Simplified to (- re) 18.775 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (- re)))) re))))) 18.776 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 18.776 * [simplify]: Simplifying im 18.776 * * [simplify]: iters left: 0 (1 enodes) 18.777 * * [simplify]: Extracting #0: cost 1 inf + 0 18.777 * * [simplify]: Extracting #1: cost 0 inf + 1 18.777 * [simplify]: Simplified to im 18.777 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.777 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 18.777 * [simplify]: Simplifying re 18.777 * * [simplify]: iters left: 0 (1 enodes) 18.778 * * [simplify]: Extracting #0: cost 1 inf + 0 18.778 * * [simplify]: Extracting #1: cost 0 inf + 1 18.778 * [simplify]: Simplified to re 18.778 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.778 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 18.778 * [simplify]: Simplifying (* -1 re) 18.778 * * [simplify]: iters left: 2 (3 enodes) 18.780 * * [simplify]: iters left: 1 (11 enodes) 18.784 * * [simplify]: Extracting #0: cost 1 inf + 0 18.784 * * [simplify]: Extracting #1: cost 4 inf + 0 18.784 * * [simplify]: Extracting #2: cost 0 inf + 84 18.784 * [simplify]: Simplified to (- re) 18.784 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.784 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 18.785 * [simplify]: Simplifying im 18.785 * * [simplify]: iters left: 0 (1 enodes) 18.785 * * [simplify]: Extracting #0: cost 1 inf + 0 18.785 * * [simplify]: Extracting #1: cost 0 inf + 1 18.785 * [simplify]: Simplified to im 18.785 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.785 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 18.786 * [simplify]: Simplifying re 18.786 * * [simplify]: iters left: 0 (1 enodes) 18.786 * * [simplify]: Extracting #0: cost 1 inf + 0 18.786 * * [simplify]: Extracting #1: cost 0 inf + 1 18.786 * [simplify]: Simplified to re 18.786 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.787 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 18.787 * [simplify]: Simplifying (* -1 re) 18.787 * * [simplify]: iters left: 2 (3 enodes) 18.789 * * [simplify]: iters left: 1 (11 enodes) 18.792 * * [simplify]: Extracting #0: cost 1 inf + 0 18.792 * * [simplify]: Extracting #1: cost 4 inf + 0 18.792 * * [simplify]: Extracting #2: cost 0 inf + 84 18.793 * [simplify]: Simplified to (- re) 18.793 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.793 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 18.793 * [simplify]: Simplifying im 18.793 * * [simplify]: iters left: 0 (1 enodes) 18.794 * * [simplify]: Extracting #0: cost 1 inf + 0 18.794 * * [simplify]: Extracting #1: cost 0 inf + 1 18.794 * [simplify]: Simplified to im 18.794 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt im) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.794 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 18.795 * [simplify]: Simplifying re 18.795 * * [simplify]: iters left: 0 (1 enodes) 18.795 * * [simplify]: Extracting #0: cost 1 inf + 0 18.795 * * [simplify]: Extracting #1: cost 0 inf + 1 18.795 * [simplify]: Simplified to re 18.795 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt re) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.796 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 18.796 * [simplify]: Simplifying (* -1 re) 18.796 * * [simplify]: iters left: 2 (3 enodes) 18.798 * * [simplify]: iters left: 1 (11 enodes) 18.802 * * [simplify]: Extracting #0: cost 1 inf + 0 18.802 * * [simplify]: Extracting #1: cost 4 inf + 0 18.802 * * [simplify]: Extracting #2: cost 0 inf + 84 18.802 * [simplify]: Simplified to (- re) 18.802 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (- re)) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))))) 18.802 * * * [progress]: adding candidates to table 20.219 * [progress]: [Phase 3 of 3] Extracting. 20.219 * * [regime]: Finding splitpoints for: (# # # # # # # #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>) 20.224 * * * [regime-changes]: Trying 3 branch expressions: (im (* im im) re) 20.224 * * * * [regimes]: Trying to branch on im from (# # # # # # # #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>) 20.323 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>) 20.430 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>) 20.561 * * * * [regimes]: Trying to branch on re from (# # # # # # # #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>) 20.694 * * * [regime]: Found split indices: #