1.601 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.148 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.150 * * [simplify]: Extracting # 4 : cost 0 0.150 * * [simplify]: Extracting # 5 : cost 0 0.150 * * [simplify]: Extracting # 6 : cost 0 0.150 * * [simplify]: Extracting # 7 : cost 0 0.150 * * [simplify]: Extracting # 8 : cost 0 0.150 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.229 * * [simplify]: Extracting # 0 : cost 0 0.229 * * [simplify]: Extracting # 1 : cost 0 0.229 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.234 * * [simplify]: Extracting # 0 : cost 0 0.234 * * [simplify]: Extracting # 1 : cost 0 0.234 * * [simplify]: Extracting # 2 : cost 0 0.234 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.253 * * [simplify]: Extracting # 1 : cost 0 0.253 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.262 * * [simplify]: Extracting # 0 : cost 0 0.262 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.262 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.265 * * [progress]: iteration 1 / 4 0.265 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.490 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.490 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.491 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.492 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.492 * [taylor]: Taking taylor expansion of re in im 0.492 * [backup-simplify]: Simplify re into re 0.492 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.493 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.494 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.494 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.495 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [backup-simplify]: Simplify im into im 0.495 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.495 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.495 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.496 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.496 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.496 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.502 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.502 * [taylor]: Taking taylor expansion of 1/2 in im 0.502 * [backup-simplify]: Simplify 1/2 into 1/2 0.502 * [taylor]: Taking taylor expansion of im in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.509 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [backup-simplify]: Simplify re into re 0.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.511 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (sqrt 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.519 * [taylor]: Taking taylor expansion of im in re 0.519 * [backup-simplify]: Simplify im into im 0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (+ 0 1) into 1 0.521 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.523 * [taylor]: Taking taylor expansion of 1 in im 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of 0 in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.527 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.527 * [taylor]: Taking taylor expansion of 1/2 in im 0.527 * [backup-simplify]: Simplify 1/2 into 1/2 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in im 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.535 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.535 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.535 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.535 * [taylor]: Taking taylor expansion of re in im 0.535 * [backup-simplify]: Simplify re into re 0.536 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [backup-simplify]: Simplify (sqrt 1) into 1 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [backup-simplify]: Simplify im into im 0.539 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.539 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.539 * [taylor]: Taking taylor expansion of re in re 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ 0 1) into 1 0.540 * [backup-simplify]: Simplify (sqrt 1) into 1 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.547 * [taylor]: Taking taylor expansion of 1 in im 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.550 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.550 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.550 * [taylor]: Taking taylor expansion of 1/2 in im 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.556 * [taylor]: Taking taylor expansion of 0 in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.558 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.558 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.558 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.558 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.558 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.558 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.558 * [taylor]: Taking taylor expansion of re in im 0.558 * [backup-simplify]: Simplify re into re 0.558 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.559 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.559 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.559 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.560 * [taylor]: Taking taylor expansion of re in im 0.560 * [backup-simplify]: Simplify re into re 0.560 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [backup-simplify]: Simplify im into im 0.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.560 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [backup-simplify]: Simplify im into im 0.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.561 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.561 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ im 0) into im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- 1) into -1 0.564 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.564 * [taylor]: Taking taylor expansion of -1 in im 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.566 * [taylor]: Taking taylor expansion of 1/2 in im 0.566 * [backup-simplify]: Simplify 1/2 into 1/2 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [taylor]: Taking taylor expansion of 0 in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.573 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.573 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.573 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.574 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.574 * [taylor]: Taking taylor expansion of re in im 0.574 * [backup-simplify]: Simplify re into re 0.574 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.574 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.575 * [backup-simplify]: Simplify (+ 1 0) into 1 0.575 * [backup-simplify]: Simplify (sqrt 1) into 1 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.577 * [taylor]: Taking taylor expansion of re in im 0.577 * [backup-simplify]: Simplify re into re 0.577 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.577 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.578 * [taylor]: Taking taylor expansion of im in re 0.578 * [backup-simplify]: Simplify im into im 0.578 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.578 * [taylor]: Taking taylor expansion of re in re 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify (+ 0 1) into 1 0.580 * [backup-simplify]: Simplify (sqrt 1) into 1 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.583 * [taylor]: Taking taylor expansion of re in re 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.583 * [taylor]: Taking taylor expansion of im in re 0.583 * [backup-simplify]: Simplify im into im 0.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (+ 0 1) into 1 0.585 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.588 * [taylor]: Taking taylor expansion of re in re 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [backup-simplify]: Simplify (- 1) into -1 0.589 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.589 * [taylor]: Taking taylor expansion of 0 in im 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.595 * [taylor]: Taking taylor expansion of 1/2 in im 0.595 * [backup-simplify]: Simplify 1/2 into 1/2 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.595 * [taylor]: Taking taylor expansion of im in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [taylor]: Taking taylor expansion of 0 in im 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.611 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [backup-simplify]: Simplify re into re 0.611 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.613 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.613 * [taylor]: Taking taylor expansion of re in im 0.613 * [backup-simplify]: Simplify re into re 0.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.614 * [backup-simplify]: Simplify (+ 1 0) into 1 0.614 * [backup-simplify]: Simplify (sqrt 1) into 1 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.617 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.617 * [taylor]: Taking taylor expansion of re in re 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.617 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.617 * [taylor]: Taking taylor expansion of im in re 0.617 * [backup-simplify]: Simplify im into im 0.617 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (+ 0 1) into 1 0.619 * [backup-simplify]: Simplify (sqrt 1) into 1 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ 1 1) into 1 0.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.622 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.622 * [taylor]: Taking taylor expansion of im in re 0.622 * [backup-simplify]: Simplify im into im 0.622 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.622 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.622 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.622 * [taylor]: Taking taylor expansion of re in re 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [backup-simplify]: Simplify (+ 0 1) into 1 0.624 * [backup-simplify]: Simplify (sqrt 1) into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.627 * [backup-simplify]: Simplify (+ 1 1) into 2 0.627 * [taylor]: Taking taylor expansion of 2 in im 0.627 * [backup-simplify]: Simplify 2 into 2 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 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 2 into 2 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.632 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.632 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.632 * [taylor]: Taking taylor expansion of 1/2 in im 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.632 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.650 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.650 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.650 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.650 * [taylor]: Taking taylor expansion of 2.0 in im 0.650 * [backup-simplify]: Simplify 2.0 into 2.0 0.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.651 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.651 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [backup-simplify]: Simplify re into re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.651 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.652 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.652 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.652 * [taylor]: Taking taylor expansion of re in im 0.652 * [backup-simplify]: Simplify re into re 0.652 * [backup-simplify]: Simplify (- re) into (- re) 0.652 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.655 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.656 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.658 * [taylor]: Taking taylor expansion of 2.0 in re 0.658 * [backup-simplify]: Simplify 2.0 into 2.0 0.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.659 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.659 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.660 * [backup-simplify]: Simplify im into im 0.660 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.660 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.660 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (+ im 0) into im 0.661 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.662 * [backup-simplify]: Simplify (- 1) into -1 0.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.662 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.662 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.662 * [taylor]: Taking taylor expansion of 2.0 in re 0.662 * [backup-simplify]: Simplify 2.0 into 2.0 0.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [backup-simplify]: Simplify im into im 0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.664 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.664 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ im 0) into im 0.665 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.665 * [backup-simplify]: Simplify (- 1) into -1 0.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.666 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.666 * [taylor]: Taking taylor expansion of 2.0 in im 0.666 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.667 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (sqrt 0) into 0 0.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.672 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.673 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.673 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.673 * [taylor]: Taking taylor expansion of 1/2 in im 0.673 * [backup-simplify]: Simplify 1/2 into 1/2 0.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.673 * [taylor]: Taking taylor expansion of 2.0 in im 0.673 * [backup-simplify]: Simplify 2.0 into 2.0 0.674 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (sqrt 0) into 0 0.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.683 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.685 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.685 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.691 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.693 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.696 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.699 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.700 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.705 * [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) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.705 * [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 im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.705 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.705 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.705 * [taylor]: Taking taylor expansion of 2.0 in im 0.706 * [backup-simplify]: Simplify 2.0 into 2.0 0.706 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.707 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.708 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [backup-simplify]: Simplify re into re 0.708 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.708 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.708 * [backup-simplify]: Simplify (+ 1 0) into 1 0.709 * [backup-simplify]: Simplify (sqrt 1) into 1 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [backup-simplify]: Simplify re into re 0.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.712 * [backup-simplify]: Simplify (+ 1 0) into 1 0.712 * [backup-simplify]: Simplify (sqrt 0) into 0 0.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.714 * [taylor]: Taking taylor expansion of 2.0 in re 0.714 * [backup-simplify]: Simplify 2.0 into 2.0 0.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.715 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.715 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.715 * [backup-simplify]: Simplify im into im 0.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 * [backup-simplify]: Simplify (+ 0 1) 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 0.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [backup-simplify]: Simplify (- 1) into -1 0.720 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.725 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.726 * [backup-simplify]: Simplify (sqrt 0) into 0 0.727 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.727 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.727 * [taylor]: Taking taylor expansion of 2.0 in re 0.727 * [backup-simplify]: Simplify 2.0 into 2.0 0.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.728 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.728 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.728 * [taylor]: Taking taylor expansion of im in re 0.728 * [backup-simplify]: Simplify im into im 0.728 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.729 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [backup-simplify]: Simplify (+ 0 1) into 1 0.730 * [backup-simplify]: Simplify (sqrt 1) into 1 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [backup-simplify]: Simplify (- 1) into -1 0.734 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.739 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.741 * [backup-simplify]: Simplify (sqrt 0) into 0 0.742 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.742 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.743 * [taylor]: Taking taylor expansion of +nan.0 in im 0.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.743 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.744 * [taylor]: Taking taylor expansion of 2.0 in im 0.744 * [backup-simplify]: Simplify 2.0 into 2.0 0.744 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.757 * [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)))) 0.757 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.757 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.757 * [taylor]: Taking taylor expansion of +nan.0 in im 0.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.757 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.757 * [backup-simplify]: Simplify 2.0 into 2.0 0.757 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.758 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.760 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.771 * [backup-simplify]: Simplify (- 0) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (- 0) into 0 0.786 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.787 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.789 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 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)))))) 0.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.790 * [taylor]: Taking taylor expansion of +nan.0 in im 0.790 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.790 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.790 * [taylor]: Taking taylor expansion of 2.0 in im 0.790 * [backup-simplify]: Simplify 2.0 into 2.0 0.790 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.791 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.792 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.793 * [backup-simplify]: Simplify 2.0 into 2.0 0.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.794 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.796 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [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 im 2)) (/ 1 (pow re 2))))))) 0.831 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.831 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.831 * [taylor]: Taking taylor expansion of 2.0 in im 0.831 * [backup-simplify]: Simplify 2.0 into 2.0 0.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.832 * [taylor]: Taking taylor expansion of re in im 0.832 * [backup-simplify]: Simplify re into re 0.832 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.833 * [taylor]: Taking taylor expansion of re in im 0.833 * [backup-simplify]: Simplify re into re 0.833 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.834 * [backup-simplify]: Simplify (+ 1 0) into 1 0.834 * [backup-simplify]: Simplify (sqrt 1) into 1 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 1) into 1 0.837 * [backup-simplify]: Simplify (sqrt 0) into 0 0.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.839 * [taylor]: Taking taylor expansion of 2.0 in re 0.839 * [backup-simplify]: Simplify 2.0 into 2.0 0.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.840 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.841 * [backup-simplify]: Simplify im into im 0.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.841 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [backup-simplify]: Simplify (+ 0 1) into 1 0.843 * [backup-simplify]: Simplify (sqrt 1) into 1 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.845 * [backup-simplify]: Simplify (+ 1 1) into 2 0.846 * [backup-simplify]: Simplify (sqrt 0) into 0 0.847 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.847 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.847 * [taylor]: Taking taylor expansion of 2.0 in re 0.847 * [backup-simplify]: Simplify 2.0 into 2.0 0.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.849 * [taylor]: Taking taylor expansion of im in re 0.849 * [backup-simplify]: Simplify im into im 0.849 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.850 * [backup-simplify]: Simplify (sqrt 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.853 * [backup-simplify]: Simplify (+ 1 1) into 2 0.853 * [backup-simplify]: Simplify (sqrt 0) into 0 0.854 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.855 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in im 0.855 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.857 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.857 * [taylor]: Taking taylor expansion of +nan.0 in im 0.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.857 * [taylor]: Taking taylor expansion of 2.0 in im 0.857 * [backup-simplify]: Simplify 2.0 into 2.0 0.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.866 * [taylor]: Taking taylor expansion of +nan.0 in im 0.866 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.866 * [taylor]: Taking taylor expansion of 2.0 in im 0.866 * [backup-simplify]: Simplify 2.0 into 2.0 0.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.868 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.869 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.871 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.875 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.877 * [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)) 0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.880 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.880 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.880 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.880 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.880 * [taylor]: Taking taylor expansion of +nan.0 in im 0.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.880 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.880 * [taylor]: Taking taylor expansion of 2.0 in im 0.880 * [backup-simplify]: Simplify 2.0 into 2.0 0.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.882 * [taylor]: Taking taylor expansion of +nan.0 in im 0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.882 * [taylor]: Taking taylor expansion of 2.0 in im 0.882 * [backup-simplify]: Simplify 2.0 into 2.0 0.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.889 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.890 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.891 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [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))) 0.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.901 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.901 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.901 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.901 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.901 * [taylor]: Taking taylor expansion of +nan.0 in im 0.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.901 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.902 * [taylor]: Taking taylor expansion of 2.0 in im 0.902 * [backup-simplify]: Simplify 2.0 into 2.0 0.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.904 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.904 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.904 * [taylor]: Taking taylor expansion of +nan.0 in im 0.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.904 * [taylor]: Taking taylor expansion of 2.0 in im 0.904 * [backup-simplify]: Simplify 2.0 into 2.0 0.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.919 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.921 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.923 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.926 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.927 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.932 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.933 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.933 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.933 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.933 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.933 * [taylor]: Taking taylor expansion of re in im 0.933 * [backup-simplify]: Simplify re into re 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.933 * [taylor]: Taking taylor expansion of im in re 0.933 * [backup-simplify]: Simplify im into im 0.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.934 * [taylor]: Taking taylor expansion of im in re 0.934 * [backup-simplify]: Simplify im into im 0.934 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.934 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [taylor]: Taking taylor expansion of 0 in im 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [taylor]: Taking taylor expansion of 1 in im 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (* 1 1) into 1 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [taylor]: Taking taylor expansion of 0 in im 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [taylor]: Taking taylor expansion of 0 in im 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.942 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.942 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.942 * [taylor]: Taking taylor expansion of im in im 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.943 * [taylor]: Taking taylor expansion of re in im 0.943 * [backup-simplify]: Simplify re into re 0.943 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.943 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [backup-simplify]: Simplify im into im 0.943 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.943 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.943 * [taylor]: Taking taylor expansion of re in re 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (* 1 1) into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.944 * [taylor]: Taking taylor expansion of im in re 0.944 * [backup-simplify]: Simplify im into im 0.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (* 1 1) into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (+ 0 1) into 1 0.946 * [taylor]: Taking taylor expansion of 1 in im 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in im 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (* 1 1) into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in im 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in im 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.960 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.960 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.960 * [taylor]: Taking taylor expansion of im in im 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.961 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.961 * [taylor]: Taking taylor expansion of re in im 0.961 * [backup-simplify]: Simplify re into re 0.961 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.962 * [taylor]: Taking taylor expansion of im in re 0.962 * [backup-simplify]: Simplify im into im 0.962 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.962 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.962 * [taylor]: Taking taylor expansion of re in re 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.963 * [backup-simplify]: Simplify im into im 0.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (* 1 1) into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [backup-simplify]: Simplify (+ 0 1) into 1 0.964 * [taylor]: Taking taylor expansion of 1 in im 0.964 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in im 0.966 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [taylor]: Taking taylor expansion of 0 in im 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.979 * * * [progress]: simplifying candidates 0.981 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.983 * * [simplify]: Extracting # 0 : cost 0 0.983 * * [simplify]: Extracting # 1 : cost 0 0.984 * * [simplify]: Extracting # 2 : cost 0 0.984 * * [simplify]: Extracting # 3 : cost 0 0.984 * * [simplify]: Extracting # 4 : cost 0 0.984 * * [simplify]: Extracting # 5 : cost 0 0.984 * * [simplify]: Extracting # 6 : cost 0 0.985 * * [simplify]: Extracting # 7 : cost 0 0.985 * * [simplify]: Extracting # 8 : cost 0 0.985 * * [simplify]: Extracting # 9 : cost 0 0.985 * * [simplify]: Extracting # 10 : cost 0 0.986 * * [simplify]: Extracting # 11 : cost 0 0.986 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 1.026 * * [simplify]: Extracting # 0 : cost 0 1.026 * * [simplify]: Extracting # 1 : cost 0 1.027 * * [simplify]: Extracting # 2 : cost 0 1.027 * * [simplify]: Extracting # 3 : cost 0 1.028 * * [simplify]: Extracting # 4 : cost 0 1.028 * * [simplify]: iteration 1 : 276 enodes (cost 836 ) 1.231 * * [simplify]: Extracting # 0 : cost 0 1.233 * * [simplify]: Extracting # 1 : cost 0 1.236 * * [simplify]: Extracting # 2 : cost 0 1.238 * * [simplify]: Extracting # 3 : cost 0 1.241 * * [simplify]: Extracting # 4 : cost 0 1.244 * * [simplify]: iteration 2 : 1265 enodes (cost 752 ) 1.916 * * [simplify]: Extracting # 0 : cost 0 1.926 * * [simplify]: Extracting # 1 : cost 0 1.939 * * [simplify]: Extracting # 2 : cost 0 1.950 * * [simplify]: Extracting # 3 : cost 0 1.963 * * [simplify]: Extracting # 4 : cost 0 1.975 * * [simplify]: iteration done: 5000 enodes (cost 729 ) 1.976 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- im (* im re)) (- (* im im)))) 0 (* +nan.0 (+ (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)) (- (sqrt 2.0)))) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.977 * * * [progress]: adding candidates to table 2.437 * * [progress]: iteration 2 / 4 2.437 * * * [progress]: picking best candidate 2.471 * * * * [pick]: Picked # 2.472 * * * [progress]: localizing error 2.529 * * * [progress]: generating rewritten candidates 2.529 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 2.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 2.572 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.769 * * * [progress]: generating series expansions 2.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.769 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.769 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.769 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.769 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.769 * [taylor]: Taking taylor expansion of re in im 2.770 * [backup-simplify]: Simplify re into re 2.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.770 * [taylor]: Taking taylor expansion of im in im 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.770 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.770 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.770 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.772 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.772 * [taylor]: Taking taylor expansion of im in re 2.772 * [backup-simplify]: Simplify im into im 2.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.772 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.772 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.773 * [taylor]: Taking taylor expansion of re in re 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.773 * [taylor]: Taking taylor expansion of im in re 2.773 * [backup-simplify]: Simplify im into im 2.773 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.773 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.774 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.774 * [taylor]: Taking taylor expansion of im in im 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [taylor]: Taking taylor expansion of 0 in im 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.777 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.777 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.777 * [taylor]: Taking taylor expansion of 1/2 in im 2.777 * [backup-simplify]: Simplify 1/2 into 1/2 2.777 * [taylor]: Taking taylor expansion of im in im 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.780 * [taylor]: Taking taylor expansion of 0 in im 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.782 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.782 * [taylor]: Taking taylor expansion of im in im 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.783 * [backup-simplify]: Simplify (/ 1 1) into 1 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.783 * [taylor]: Taking taylor expansion of re in im 2.783 * [backup-simplify]: Simplify re into re 2.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.783 * [backup-simplify]: Simplify (+ 1 0) into 1 2.784 * [backup-simplify]: Simplify (sqrt 1) into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.786 * [taylor]: Taking taylor expansion of im in re 2.786 * [backup-simplify]: Simplify im into im 2.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.786 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.786 * [taylor]: Taking taylor expansion of re in re 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.787 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (+ 0 1) into 1 2.788 * [backup-simplify]: Simplify (sqrt 1) into 1 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.790 * [taylor]: Taking taylor expansion of im in re 2.790 * [backup-simplify]: Simplify im into im 2.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.791 * [taylor]: Taking taylor expansion of re in re 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (* 1 1) into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [backup-simplify]: Simplify (+ 0 1) into 1 2.792 * [backup-simplify]: Simplify (sqrt 1) into 1 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.795 * [taylor]: Taking taylor expansion of 1 in im 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of 0 in im 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.798 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.798 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.798 * [taylor]: Taking taylor expansion of 1/2 in im 2.798 * [backup-simplify]: Simplify 1/2 into 1/2 2.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.798 * [taylor]: Taking taylor expansion of im in im 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.803 * [taylor]: Taking taylor expansion of 0 in im 2.803 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.806 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.806 * [taylor]: Taking taylor expansion of im in im 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.807 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.807 * [taylor]: Taking taylor expansion of re in im 2.807 * [backup-simplify]: Simplify re into re 2.807 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.807 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.808 * [backup-simplify]: Simplify (sqrt 1) into 1 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.810 * [taylor]: Taking taylor expansion of im in re 2.810 * [backup-simplify]: Simplify im into im 2.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.810 * [taylor]: Taking taylor expansion of re in re 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [backup-simplify]: Simplify (+ 0 1) into 1 2.812 * [backup-simplify]: Simplify (sqrt 1) into 1 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.814 * [taylor]: Taking taylor expansion of im in re 2.814 * [backup-simplify]: Simplify im into im 2.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.814 * [taylor]: Taking taylor expansion of re in re 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (+ 0 1) into 1 2.817 * [backup-simplify]: Simplify (sqrt 1) into 1 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.821 * [taylor]: Taking taylor expansion of 1 in im 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of 0 in im 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.827 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.827 * [taylor]: Taking taylor expansion of 1/2 in im 2.827 * [backup-simplify]: Simplify 1/2 into 1/2 2.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.828 * [taylor]: Taking taylor expansion of im in im 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.834 * [taylor]: Taking taylor expansion of 0 in im 2.834 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.836 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 2.836 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.836 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.836 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.836 * [taylor]: Taking taylor expansion of re in im 2.836 * [backup-simplify]: Simplify re into re 2.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.836 * [taylor]: Taking taylor expansion of im in im 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.837 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.837 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.837 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.837 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.837 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.837 * [taylor]: Taking taylor expansion of re in re 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.838 * [taylor]: Taking taylor expansion of im in re 2.838 * [backup-simplify]: Simplify im into im 2.838 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.838 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.839 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.839 * [taylor]: Taking taylor expansion of re in re 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.839 * [taylor]: Taking taylor expansion of im in re 2.839 * [backup-simplify]: Simplify im into im 2.839 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.839 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.839 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.839 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.840 * [taylor]: Taking taylor expansion of im in im 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [taylor]: Taking taylor expansion of 0 in im 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.841 * [backup-simplify]: Simplify (+ 1 0) into 1 2.842 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.842 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.842 * [taylor]: Taking taylor expansion of 1/2 in im 2.842 * [backup-simplify]: Simplify 1/2 into 1/2 2.842 * [taylor]: Taking taylor expansion of im in im 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.845 * [taylor]: Taking taylor expansion of 0 in im 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.847 * [taylor]: Taking taylor expansion of im in im 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.847 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.848 * [taylor]: Taking taylor expansion of re in im 2.848 * [backup-simplify]: Simplify re into re 2.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.848 * [backup-simplify]: Simplify (+ 1 0) into 1 2.849 * [backup-simplify]: Simplify (sqrt 1) into 1 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.851 * [taylor]: Taking taylor expansion of im in re 2.851 * [backup-simplify]: Simplify im into im 2.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.851 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.851 * [taylor]: Taking taylor expansion of re in re 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (* 1 1) into 1 2.852 * [backup-simplify]: Simplify (/ 1 1) into 1 2.852 * [backup-simplify]: Simplify (+ 0 1) into 1 2.853 * [backup-simplify]: Simplify (sqrt 1) into 1 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.855 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.855 * [taylor]: Taking taylor expansion of im in re 2.855 * [backup-simplify]: Simplify im into im 2.855 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.856 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.856 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.856 * [taylor]: Taking taylor expansion of re in re 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [backup-simplify]: Simplify (+ 0 1) into 1 2.857 * [backup-simplify]: Simplify (sqrt 1) into 1 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.859 * [taylor]: Taking taylor expansion of 1 in im 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of 0 in im 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.863 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.863 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.863 * [taylor]: Taking taylor expansion of 1/2 in im 2.863 * [backup-simplify]: Simplify 1/2 into 1/2 2.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.863 * [taylor]: Taking taylor expansion of im in im 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.868 * [taylor]: Taking taylor expansion of 0 in im 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.871 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.871 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.871 * [taylor]: Taking taylor expansion of im in im 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.872 * [taylor]: Taking taylor expansion of re in im 2.872 * [backup-simplify]: Simplify re into re 2.872 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.872 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.872 * [backup-simplify]: Simplify (+ 1 0) into 1 2.873 * [backup-simplify]: Simplify (sqrt 1) into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.878 * [taylor]: Taking taylor expansion of im in re 2.878 * [backup-simplify]: Simplify im into im 2.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.879 * [taylor]: Taking taylor expansion of re in re 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (+ 0 1) into 1 2.880 * [backup-simplify]: Simplify (sqrt 1) into 1 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.883 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.883 * [taylor]: Taking taylor expansion of im in re 2.883 * [backup-simplify]: Simplify im into im 2.883 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.883 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.883 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.883 * [taylor]: Taking taylor expansion of re in re 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (* 1 1) into 1 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [backup-simplify]: Simplify (+ 0 1) into 1 2.884 * [backup-simplify]: Simplify (sqrt 1) into 1 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.887 * [taylor]: Taking taylor expansion of 1 in im 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [taylor]: Taking taylor expansion of 0 in im 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.890 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.890 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.890 * [taylor]: Taking taylor expansion of 1/2 in im 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.890 * [taylor]: Taking taylor expansion of im in im 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.896 * [taylor]: Taking taylor expansion of 0 in im 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.898 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.898 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.898 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.898 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.898 * [taylor]: Taking taylor expansion of re in im 2.898 * [backup-simplify]: Simplify re into re 2.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.898 * [taylor]: Taking taylor expansion of im in im 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.899 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.899 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.899 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.899 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.899 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.899 * [taylor]: Taking taylor expansion of re in re 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.900 * [taylor]: Taking taylor expansion of im in re 2.900 * [backup-simplify]: Simplify im into im 2.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.900 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.901 * [taylor]: Taking taylor expansion of re in re 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.901 * [taylor]: Taking taylor expansion of im in re 2.901 * [backup-simplify]: Simplify im into im 2.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.901 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.902 * [taylor]: Taking taylor expansion of im in im 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [taylor]: Taking taylor expansion of 0 in im 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.903 * [backup-simplify]: Simplify (+ 1 0) into 1 2.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.904 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.904 * [taylor]: Taking taylor expansion of 1/2 in im 2.904 * [backup-simplify]: Simplify 1/2 into 1/2 2.904 * [taylor]: Taking taylor expansion of im in im 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.907 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.908 * [taylor]: Taking taylor expansion of 0 in im 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.909 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.909 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.909 * [taylor]: Taking taylor expansion of im in im 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.910 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.910 * [taylor]: Taking taylor expansion of re in im 2.910 * [backup-simplify]: Simplify re into re 2.910 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.910 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.911 * [backup-simplify]: Simplify (+ 1 0) into 1 2.911 * [backup-simplify]: Simplify (sqrt 1) into 1 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.914 * [taylor]: Taking taylor expansion of im in re 2.914 * [backup-simplify]: Simplify im into im 2.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.914 * [taylor]: Taking taylor expansion of re in re 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (* 1 1) into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [backup-simplify]: Simplify (sqrt 1) into 1 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.919 * [taylor]: Taking taylor expansion of im in re 2.919 * [backup-simplify]: Simplify im into im 2.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.919 * [taylor]: Taking taylor expansion of re in re 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (* 1 1) into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [backup-simplify]: Simplify (+ 0 1) into 1 2.921 * [backup-simplify]: Simplify (sqrt 1) into 1 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.923 * [taylor]: Taking taylor expansion of 1 in im 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of 0 in im 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.926 * [taylor]: Taking taylor expansion of 1/2 in im 2.926 * [backup-simplify]: Simplify 1/2 into 1/2 2.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (* 1 1) into 1 2.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.931 * [taylor]: Taking taylor expansion of 0 in im 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.934 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.934 * [taylor]: Taking taylor expansion of im in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.935 * [taylor]: Taking taylor expansion of re in im 2.935 * [backup-simplify]: Simplify re into re 2.935 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (sqrt 1) into 1 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.938 * [taylor]: Taking taylor expansion of im in re 2.938 * [backup-simplify]: Simplify im into im 2.938 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.938 * [taylor]: Taking taylor expansion of re in re 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (* 1 1) into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [backup-simplify]: Simplify (+ 0 1) into 1 2.940 * [backup-simplify]: Simplify (sqrt 1) into 1 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.942 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.942 * [taylor]: Taking taylor expansion of im in re 2.942 * [backup-simplify]: Simplify im into im 2.942 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.943 * [taylor]: Taking taylor expansion of re in re 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (* 1 1) into 1 2.943 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [backup-simplify]: Simplify (+ 0 1) into 1 2.944 * [backup-simplify]: Simplify (sqrt 1) into 1 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.946 * [taylor]: Taking taylor expansion of 1 in im 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [taylor]: Taking taylor expansion of 0 in im 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.949 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.949 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.950 * [taylor]: Taking taylor expansion of 1/2 in im 2.950 * [backup-simplify]: Simplify 1/2 into 1/2 2.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.950 * [taylor]: Taking taylor expansion of im in im 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.955 * [taylor]: Taking taylor expansion of 0 in im 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.957 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.958 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.958 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.958 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.958 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.958 * [taylor]: Taking taylor expansion of re in im 2.958 * [backup-simplify]: Simplify re into re 2.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.958 * [taylor]: Taking taylor expansion of im in im 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.958 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.958 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.959 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.959 * [taylor]: Taking taylor expansion of re in im 2.959 * [backup-simplify]: Simplify re into re 2.959 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.959 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.959 * [taylor]: Taking taylor expansion of re in re 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.959 * [taylor]: Taking taylor expansion of im in re 2.959 * [backup-simplify]: Simplify im into im 2.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.960 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.960 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.960 * [taylor]: Taking taylor expansion of re in re 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.961 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.961 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.961 * [taylor]: Taking taylor expansion of re in re 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.961 * [taylor]: Taking taylor expansion of im in re 2.961 * [backup-simplify]: Simplify im into im 2.961 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.961 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.961 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.961 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.962 * [taylor]: Taking taylor expansion of re in re 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ im 0) into im 2.963 * [taylor]: Taking taylor expansion of im in im 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (- 1) into -1 2.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.963 * [taylor]: Taking taylor expansion of -1 in im 2.963 * [backup-simplify]: Simplify -1 into -1 2.963 * [backup-simplify]: Simplify -1 into -1 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.965 * [backup-simplify]: Simplify (+ 1 0) into 1 2.965 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.966 * [backup-simplify]: Simplify (- 0) into 0 2.966 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.966 * [taylor]: Taking taylor expansion of 1/2 in im 2.966 * [backup-simplify]: Simplify 1/2 into 1/2 2.966 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.966 * [taylor]: Taking taylor expansion of im in im 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.970 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [taylor]: Taking taylor expansion of 0 in im 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.973 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.973 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.973 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.973 * [taylor]: Taking taylor expansion of im in im 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.974 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.974 * [taylor]: Taking taylor expansion of re in im 2.974 * [backup-simplify]: Simplify re into re 2.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (sqrt 1) into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.977 * [taylor]: Taking taylor expansion of re in im 2.978 * [backup-simplify]: Simplify re into re 2.978 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.978 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [backup-simplify]: Simplify im into im 2.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [backup-simplify]: Simplify (+ 0 1) into 1 2.980 * [backup-simplify]: Simplify (sqrt 1) into 1 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.982 * [taylor]: Taking taylor expansion of re in re 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (/ 1 1) into 1 2.982 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.982 * [taylor]: Taking taylor expansion of im in re 2.982 * [backup-simplify]: Simplify im into im 2.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.983 * [taylor]: Taking taylor expansion of re in re 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify (+ 0 1) into 1 2.984 * [backup-simplify]: Simplify (sqrt 1) into 1 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.986 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.986 * [taylor]: Taking taylor expansion of re in re 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [backup-simplify]: Simplify (- 1) into -1 2.988 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in im 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- 0) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [taylor]: Taking taylor expansion of 0 in im 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (- 0) into 0 2.993 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.993 * [taylor]: Taking taylor expansion of 1/2 in im 2.993 * [backup-simplify]: Simplify 1/2 into 1/2 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.993 * [taylor]: Taking taylor expansion of im in im 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (- 0) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [taylor]: Taking taylor expansion of 0 in im 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.005 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.005 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.005 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.005 * [taylor]: Taking taylor expansion of re in im 3.005 * [backup-simplify]: Simplify re into re 3.005 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.005 * [taylor]: Taking taylor expansion of im in im 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.006 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.006 * [taylor]: Taking taylor expansion of re in im 3.006 * [backup-simplify]: Simplify re into re 3.006 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.006 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.007 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [backup-simplify]: Simplify (sqrt 1) into 1 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.009 * [taylor]: Taking taylor expansion of re in re 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.010 * [taylor]: Taking taylor expansion of im in re 3.010 * [backup-simplify]: Simplify im into im 3.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.010 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.010 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.010 * [taylor]: Taking taylor expansion of re in re 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (* 1 1) into 1 3.011 * [backup-simplify]: Simplify (/ 1 1) into 1 3.011 * [backup-simplify]: Simplify (+ 0 1) into 1 3.012 * [backup-simplify]: Simplify (sqrt 1) into 1 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.017 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.017 * [taylor]: Taking taylor expansion of re in re 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.018 * [taylor]: Taking taylor expansion of im in re 3.018 * [backup-simplify]: Simplify im into im 3.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.018 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.018 * [taylor]: Taking taylor expansion of re in re 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.019 * [backup-simplify]: Simplify (* 1 1) into 1 3.019 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [backup-simplify]: Simplify (+ 0 1) into 1 3.020 * [backup-simplify]: Simplify (sqrt 1) into 1 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.023 * [backup-simplify]: Simplify (+ 1 1) into 2 3.023 * [taylor]: Taking taylor expansion of 2 in im 3.023 * [backup-simplify]: Simplify 2 into 2 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [taylor]: Taking taylor expansion of 0 in im 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 2 into 2 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.028 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.028 * [taylor]: Taking taylor expansion of 1/2 in im 3.028 * [backup-simplify]: Simplify 1/2 into 1/2 3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.028 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.028 * [taylor]: Taking taylor expansion of im in im 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in im 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.038 * * * [progress]: simplifying candidates 3.040 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 3.043 * * [simplify]: Extracting # 0 : cost 0 3.043 * * [simplify]: Extracting # 1 : cost 0 3.043 * * [simplify]: Extracting # 2 : cost 0 3.043 * * [simplify]: Extracting # 3 : cost 0 3.043 * * [simplify]: Extracting # 4 : cost 0 3.043 * * [simplify]: Extracting # 5 : cost 0 3.043 * * [simplify]: Extracting # 6 : cost 0 3.044 * * [simplify]: iteration 0 : 64 enodes (cost 1227 ) 3.064 * * [simplify]: Extracting # 0 : cost 0 3.064 * * [simplify]: Extracting # 1 : cost 0 3.065 * * [simplify]: Extracting # 2 : cost 0 3.065 * * [simplify]: Extracting # 3 : cost 0 3.066 * * [simplify]: Extracting # 4 : cost 0 3.066 * * [simplify]: iteration 1 : 150 enodes (cost 1131 ) 3.139 * * [simplify]: Extracting # 0 : cost 0 3.139 * * [simplify]: Extracting # 1 : cost 0 3.140 * * [simplify]: Extracting # 2 : cost 0 3.141 * * [simplify]: Extracting # 3 : cost 0 3.141 * * [simplify]: Extracting # 4 : cost 0 3.142 * * [simplify]: iteration 2 : 398 enodes (cost 665 ) 3.409 * * [simplify]: Extracting # 0 : cost 0 3.412 * * [simplify]: Extracting # 1 : cost 0 3.414 * * [simplify]: Extracting # 2 : cost 0 3.417 * * [simplify]: Extracting # 3 : cost 0 3.419 * * [simplify]: Extracting # 4 : cost 0 3.422 * * [simplify]: iteration 3 : 1455 enodes (cost 626 ) 4.229 * * [simplify]: Extracting # 0 : cost 0 4.242 * * [simplify]: Extracting # 1 : cost 0 4.254 * * [simplify]: Extracting # 2 : cost 0 4.264 * * [simplify]: Extracting # 3 : cost 0 4.275 * * [simplify]: Extracting # 4 : cost 0 4.297 * * [simplify]: iteration done: 5001 enodes (cost 618 ) 4.298 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))) (- re) (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))) (- re) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 4.299 * * * [progress]: adding candidates to table 4.858 * * [progress]: iteration 3 / 4 4.858 * * * [progress]: picking best candidate 4.884 * * * * [pick]: Picked # 4.884 * * * [progress]: localizing error 4.928 * * * [progress]: generating rewritten candidates 4.928 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 4.943 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.976 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 5.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.127 * * * [progress]: generating series expansions 5.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.127 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.128 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.128 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.128 * [taylor]: Taking taylor expansion of re in im 5.128 * [backup-simplify]: Simplify re into re 5.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.128 * [taylor]: Taking taylor expansion of im in im 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.128 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.128 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.128 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.129 * [backup-simplify]: Simplify (+ 0 0) into 0 5.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.129 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.129 * [taylor]: Taking taylor expansion of re in re 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 1 into 1 5.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.129 * [taylor]: Taking taylor expansion of im in re 5.129 * [backup-simplify]: Simplify im into im 5.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.130 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.130 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.131 * [backup-simplify]: Simplify (+ 0 0) into 0 5.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.131 * [taylor]: Taking taylor expansion of re in re 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.131 * [taylor]: Taking taylor expansion of im in re 5.131 * [backup-simplify]: Simplify im into im 5.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.131 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.132 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.132 * [taylor]: Taking taylor expansion of im in im 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [taylor]: Taking taylor expansion of 0 in im 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.134 * [backup-simplify]: Simplify (+ 1 0) into 1 5.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.134 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.134 * [taylor]: Taking taylor expansion of 1/2 in im 5.134 * [backup-simplify]: Simplify 1/2 into 1/2 5.134 * [taylor]: Taking taylor expansion of im in im 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.138 * [taylor]: Taking taylor expansion of 0 in im 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.139 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.139 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.139 * [taylor]: Taking taylor expansion of im in im 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (* 1 1) into 1 5.140 * [backup-simplify]: Simplify (/ 1 1) into 1 5.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.140 * [taylor]: Taking taylor expansion of re in im 5.140 * [backup-simplify]: Simplify re into re 5.140 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.141 * [backup-simplify]: Simplify (+ 1 0) into 1 5.141 * [backup-simplify]: Simplify (sqrt 1) into 1 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ 0 0) into 0 5.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.143 * [taylor]: Taking taylor expansion of im in re 5.143 * [backup-simplify]: Simplify im into im 5.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.144 * [taylor]: Taking taylor expansion of re in re 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (* 1 1) into 1 5.144 * [backup-simplify]: Simplify (/ 1 1) into 1 5.145 * [backup-simplify]: Simplify (+ 0 1) into 1 5.145 * [backup-simplify]: Simplify (sqrt 1) into 1 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.148 * [taylor]: Taking taylor expansion of im in re 5.148 * [backup-simplify]: Simplify im into im 5.148 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.148 * [taylor]: Taking taylor expansion of re in re 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (* 1 1) into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [backup-simplify]: Simplify (+ 0 1) into 1 5.149 * [backup-simplify]: Simplify (sqrt 1) into 1 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (+ 0 0) into 0 5.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.152 * [taylor]: Taking taylor expansion of 1 in im 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of 0 in im 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.155 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.155 * [taylor]: Taking taylor expansion of 1/2 in im 5.155 * [backup-simplify]: Simplify 1/2 into 1/2 5.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.155 * [taylor]: Taking taylor expansion of im in im 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (* 1 1) into 1 5.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.161 * [taylor]: Taking taylor expansion of 0 in im 5.161 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.163 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.163 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.163 * [taylor]: Taking taylor expansion of im in im 5.163 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.164 * [taylor]: Taking taylor expansion of re in im 5.164 * [backup-simplify]: Simplify re into re 5.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.165 * [backup-simplify]: Simplify (+ 1 0) into 1 5.165 * [backup-simplify]: Simplify (sqrt 1) into 1 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.168 * [taylor]: Taking taylor expansion of im in re 5.168 * [backup-simplify]: Simplify im into im 5.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.168 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.168 * [taylor]: Taking taylor expansion of re in re 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (* 1 1) into 1 5.169 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [backup-simplify]: Simplify (+ 0 1) into 1 5.170 * [backup-simplify]: Simplify (sqrt 1) into 1 5.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.172 * [taylor]: Taking taylor expansion of im in re 5.172 * [backup-simplify]: Simplify im into im 5.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.173 * [taylor]: Taking taylor expansion of re in re 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (* 1 1) into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [backup-simplify]: Simplify (+ 0 1) into 1 5.175 * [backup-simplify]: Simplify (sqrt 1) into 1 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.177 * [taylor]: Taking taylor expansion of 1 in im 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [taylor]: Taking taylor expansion of 0 in im 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.180 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.180 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.180 * [taylor]: Taking taylor expansion of 1/2 in im 5.180 * [backup-simplify]: Simplify 1/2 into 1/2 5.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.180 * [taylor]: Taking taylor expansion of im in im 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (* 1 1) into 1 5.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ 0 0) into 0 5.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.186 * [taylor]: Taking taylor expansion of 0 in im 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.188 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.188 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* im im) 0))) into (* (sqrt 2.0) im) 5.188 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 5.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.188 * [taylor]: Taking taylor expansion of 2.0 in im 5.188 * [backup-simplify]: Simplify 2.0 into 2.0 5.188 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.189 * [taylor]: Taking taylor expansion of im in im 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.189 * [taylor]: Taking taylor expansion of 2.0 in im 5.189 * [backup-simplify]: Simplify 2.0 into 2.0 5.190 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.190 * [taylor]: Taking taylor expansion of im in im 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 5.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.195 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.204 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.204 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.210 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.213 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 5.214 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) into (/ (sqrt 2.0) im) 5.214 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 5.214 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.214 * [taylor]: Taking taylor expansion of 2.0 in im 5.214 * [backup-simplify]: Simplify 2.0 into 2.0 5.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.215 * [taylor]: Taking taylor expansion of im in im 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.216 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.216 * [taylor]: Taking taylor expansion of 2.0 in im 5.216 * [backup-simplify]: Simplify 2.0 into 2.0 5.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.217 * [taylor]: Taking taylor expansion of im in im 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 5.232 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) into (/ (sqrt 2.0) im) 5.233 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 5.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.233 * [taylor]: Taking taylor expansion of 2.0 in im 5.233 * [backup-simplify]: Simplify 2.0 into 2.0 5.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.234 * [taylor]: Taking taylor expansion of im in im 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.235 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.235 * [taylor]: Taking taylor expansion of 2.0 in im 5.235 * [backup-simplify]: Simplify 2.0 into 2.0 5.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.236 * [taylor]: Taking taylor expansion of im in im 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.239 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 5.251 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 5.252 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 5.252 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 5.252 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.252 * [taylor]: Taking taylor expansion of re in im 5.252 * [backup-simplify]: Simplify re into re 5.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.252 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.252 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.252 * [taylor]: Taking taylor expansion of re in im 5.252 * [backup-simplify]: Simplify re into re 5.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.252 * [taylor]: Taking taylor expansion of im in im 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.253 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.253 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.253 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.253 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.254 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.254 * [taylor]: Taking taylor expansion of re in re 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.254 * [taylor]: Taking taylor expansion of re in re 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.254 * [taylor]: Taking taylor expansion of im in re 5.254 * [backup-simplify]: Simplify im into im 5.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.254 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.254 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.255 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.255 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.255 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.255 * [taylor]: Taking taylor expansion of re in re 5.255 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.256 * [taylor]: Taking taylor expansion of re in re 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.256 * [taylor]: Taking taylor expansion of im in re 5.256 * [backup-simplify]: Simplify im into im 5.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.256 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.256 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.257 * [backup-simplify]: Simplify (+ 0 im) into im 5.257 * [taylor]: Taking taylor expansion of im in im 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (+ 1 0) into 1 5.258 * [taylor]: Taking taylor expansion of 1 in im 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (* 1 1) into 1 5.259 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.259 * [backup-simplify]: Simplify (+ 1 0) into 1 5.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.260 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.260 * [taylor]: Taking taylor expansion of 1/2 in im 5.260 * [backup-simplify]: Simplify 1/2 into 1/2 5.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.260 * [taylor]: Taking taylor expansion of im in im 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.264 * [backup-simplify]: Simplify (+ 0 0) into 0 5.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.264 * [backup-simplify]: Simplify (+ 0 0) into 0 5.264 * [taylor]: Taking taylor expansion of 0 in im 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.267 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 5.267 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 5.267 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.267 * [taylor]: Taking taylor expansion of re in im 5.267 * [backup-simplify]: Simplify re into re 5.267 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.267 * [taylor]: Taking taylor expansion of im in im 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (* 1 1) into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.268 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.268 * [taylor]: Taking taylor expansion of re in im 5.268 * [backup-simplify]: Simplify re into re 5.268 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.268 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.269 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (sqrt 1) into 1 5.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (+ 0 0) into 0 5.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.271 * [taylor]: Taking taylor expansion of re in re 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.272 * [taylor]: Taking taylor expansion of im in re 5.272 * [backup-simplify]: Simplify im into im 5.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.272 * [taylor]: Taking taylor expansion of re in re 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (* 1 1) into 1 5.273 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [backup-simplify]: Simplify (+ 0 1) into 1 5.273 * [backup-simplify]: Simplify (sqrt 1) into 1 5.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ 0 0) into 0 5.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.276 * [taylor]: Taking taylor expansion of re in re 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (/ 1 1) into 1 5.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.276 * [taylor]: Taking taylor expansion of im in re 5.276 * [backup-simplify]: Simplify im into im 5.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.276 * [taylor]: Taking taylor expansion of re in re 5.276 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 1 into 1 5.277 * [backup-simplify]: Simplify (* 1 1) into 1 5.277 * [backup-simplify]: Simplify (/ 1 1) into 1 5.278 * [backup-simplify]: Simplify (+ 0 1) into 1 5.278 * [backup-simplify]: Simplify (sqrt 1) into 1 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.280 * [backup-simplify]: Simplify (+ 1 1) into 2 5.280 * [taylor]: Taking taylor expansion of 2 in im 5.280 * [backup-simplify]: Simplify 2 into 2 5.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.281 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [taylor]: Taking taylor expansion of 0 in im 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 2 into 2 5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.285 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.285 * [taylor]: Taking taylor expansion of 1/2 in im 5.286 * [backup-simplify]: Simplify 1/2 into 1/2 5.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.286 * [taylor]: Taking taylor expansion of im in im 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (* 1 1) into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.294 * [taylor]: Taking taylor expansion of 0 in im 5.294 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.297 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 5.297 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 5.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.298 * [taylor]: Taking taylor expansion of im in im 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (* 1 1) into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.299 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.299 * [taylor]: Taking taylor expansion of re in im 5.299 * [backup-simplify]: Simplify re into re 5.299 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.299 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.300 * [backup-simplify]: Simplify (+ 1 0) into 1 5.300 * [backup-simplify]: Simplify (sqrt 1) into 1 5.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.302 * [backup-simplify]: Simplify (+ 0 0) into 0 5.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.303 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.303 * [taylor]: Taking taylor expansion of re in im 5.303 * [backup-simplify]: Simplify re into re 5.303 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.303 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.303 * [taylor]: Taking taylor expansion of im in re 5.303 * [backup-simplify]: Simplify im into im 5.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.303 * [taylor]: Taking taylor expansion of re in re 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (* 1 1) into 1 5.304 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [backup-simplify]: Simplify (+ 0 1) into 1 5.305 * [backup-simplify]: Simplify (sqrt 1) into 1 5.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (+ 0 0) into 0 5.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.307 * [taylor]: Taking taylor expansion of re in re 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.308 * [taylor]: Taking taylor expansion of im in re 5.308 * [backup-simplify]: Simplify im into im 5.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.308 * [taylor]: Taking taylor expansion of re in re 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (* 1 1) into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [backup-simplify]: Simplify (+ 0 1) into 1 5.310 * [backup-simplify]: Simplify (sqrt 1) into 1 5.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.313 * [taylor]: Taking taylor expansion of re in re 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (- 1) into -1 5.315 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.315 * [taylor]: Taking taylor expansion of 0 in im 5.315 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- 0) into 0 5.318 * [backup-simplify]: Simplify (+ 0 0) into 0 5.318 * [taylor]: Taking taylor expansion of 0 in im 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.322 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (- 0) into 0 5.325 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.325 * [taylor]: Taking taylor expansion of 1/2 in im 5.325 * [backup-simplify]: Simplify 1/2 into 1/2 5.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.325 * [taylor]: Taking taylor expansion of im in im 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (* 1 1) into 1 5.326 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.332 * [backup-simplify]: Simplify (+ 0 0) into 0 5.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.334 * [backup-simplify]: Simplify (- 0) into 0 5.334 * [backup-simplify]: Simplify (+ 0 0) into 0 5.334 * [taylor]: Taking taylor expansion of 0 in im 5.334 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.337 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 5.337 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 5.337 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 5.337 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 5.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.337 * [taylor]: Taking taylor expansion of 2.0 in re 5.337 * [backup-simplify]: Simplify 2.0 into 2.0 5.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.338 * [taylor]: Taking taylor expansion of im in re 5.338 * [backup-simplify]: Simplify im into im 5.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 5.338 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 5.338 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.338 * [taylor]: Taking taylor expansion of re in re 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.338 * [taylor]: Taking taylor expansion of re in re 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.339 * [taylor]: Taking taylor expansion of im in re 5.339 * [backup-simplify]: Simplify im into im 5.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.339 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.339 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.339 * [backup-simplify]: Simplify (+ 0 0) into 0 5.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.340 * [backup-simplify]: Simplify (+ 0 im) into im 5.340 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.340 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 5.340 * [backup-simplify]: Simplify (+ 1 0) into 1 5.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 5.340 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 5.340 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 5.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.341 * [taylor]: Taking taylor expansion of 2.0 in im 5.341 * [backup-simplify]: Simplify 2.0 into 2.0 5.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.342 * [taylor]: Taking taylor expansion of im in im 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 5.342 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 5.342 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.342 * [taylor]: Taking taylor expansion of re in im 5.342 * [backup-simplify]: Simplify re into re 5.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.342 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.342 * [taylor]: Taking taylor expansion of re in im 5.342 * [backup-simplify]: Simplify re into re 5.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.342 * [taylor]: Taking taylor expansion of im in im 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.342 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.342 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.343 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.343 * [backup-simplify]: Simplify (+ 0 0) into 0 5.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.343 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.343 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 5.343 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 5.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 5.344 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 5.344 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.344 * [taylor]: Taking taylor expansion of 2.0 in im 5.344 * [backup-simplify]: Simplify 2.0 into 2.0 5.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.345 * [taylor]: Taking taylor expansion of im in im 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 5.345 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 5.345 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.345 * [taylor]: Taking taylor expansion of re in im 5.345 * [backup-simplify]: Simplify re into re 5.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.345 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.345 * [taylor]: Taking taylor expansion of re in im 5.345 * [backup-simplify]: Simplify re into re 5.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.346 * [taylor]: Taking taylor expansion of im in im 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.346 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.346 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.346 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.347 * [backup-simplify]: Simplify (+ 0 0) into 0 5.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.347 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.347 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 5.347 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 5.347 * [backup-simplify]: Simplify (+ 0 0) into 0 5.347 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 5.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 5.348 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.349 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 5.349 * [taylor]: Taking taylor expansion of 0 in re 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 5.355 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 5.355 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 5.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 5.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.355 * [taylor]: Taking taylor expansion of 2.0 in re 5.355 * [backup-simplify]: Simplify 2.0 into 2.0 5.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.356 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 5.356 * [taylor]: Taking taylor expansion of 1/2 in re 5.356 * [backup-simplify]: Simplify 1/2 into 1/2 5.357 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 5.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.357 * [taylor]: Taking taylor expansion of re in re 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify 1 into 1 5.358 * [backup-simplify]: Simplify (/ 1 1) into 1 5.358 * [backup-simplify]: Simplify (sqrt 0) into 0 5.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.361 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 5.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 5.365 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 5.368 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 5.368 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.369 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (+ 0 1) into 1 5.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.371 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 5.371 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 5.372 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 5.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.375 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 5.377 * [taylor]: Taking taylor expansion of 0 in re 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.384 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 5.392 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 5.392 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.394 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.395 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 5.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 5.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.399 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 5.402 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 5.402 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 5.402 * [taylor]: Taking taylor expansion of 1/16 in re 5.402 * [backup-simplify]: Simplify 1/16 into 1/16 5.402 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 5.402 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 5.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.402 * [taylor]: Taking taylor expansion of 2.0 in re 5.402 * [backup-simplify]: Simplify 2.0 into 2.0 5.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.403 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 5.403 * [taylor]: Taking taylor expansion of 1/2 in re 5.403 * [backup-simplify]: Simplify 1/2 into 1/2 5.403 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.405 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 5.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 5.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 5.405 * [taylor]: Taking taylor expansion of (pow re 5) in re 5.405 * [taylor]: Taking taylor expansion of re in re 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (* 1 1) into 1 5.406 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [backup-simplify]: Simplify (sqrt 0) into 0 5.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.421 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 5.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.424 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 5.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 5.432 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.436 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.440 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.440 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 5.448 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.452 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.454 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 5.464 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 5.465 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 5.465 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 5.465 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 5.465 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 5.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.465 * [taylor]: Taking taylor expansion of 2.0 in re 5.465 * [backup-simplify]: Simplify 2.0 into 2.0 5.466 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.466 * [taylor]: Taking taylor expansion of im in re 5.466 * [backup-simplify]: Simplify im into im 5.467 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 5.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 5.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.467 * [taylor]: Taking taylor expansion of re in re 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.468 * [taylor]: Taking taylor expansion of im in re 5.468 * [backup-simplify]: Simplify im into im 5.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.468 * [taylor]: Taking taylor expansion of re in re 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (* 1 1) into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [backup-simplify]: Simplify (+ 0 1) into 1 5.470 * [backup-simplify]: Simplify (sqrt 1) into 1 5.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (+ 0 0) into 0 5.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.472 * [backup-simplify]: Simplify (+ 1 1) into 2 5.473 * [backup-simplify]: Simplify (/ 1 2) into 1/2 5.473 * [backup-simplify]: Simplify (sqrt 0) into 0 5.474 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 5.474 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 5.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.474 * [taylor]: Taking taylor expansion of 2.0 in im 5.474 * [backup-simplify]: Simplify 2.0 into 2.0 5.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.475 * [taylor]: Taking taylor expansion of im in im 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 5.476 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.476 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.476 * [taylor]: Taking taylor expansion of re in im 5.476 * [backup-simplify]: Simplify re into re 5.477 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.477 * [taylor]: Taking taylor expansion of im in im 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (* 1 1) into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.477 * [taylor]: Taking taylor expansion of re in im 5.478 * [backup-simplify]: Simplify re into re 5.478 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.478 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.478 * [backup-simplify]: Simplify (+ 1 0) into 1 5.479 * [backup-simplify]: Simplify (sqrt 1) into 1 5.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.481 * [backup-simplify]: Simplify (+ 0 1) into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [backup-simplify]: Simplify (sqrt 0) into 0 5.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.483 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 5.483 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.483 * [taylor]: Taking taylor expansion of 2.0 in im 5.483 * [backup-simplify]: Simplify 2.0 into 2.0 5.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.484 * [taylor]: Taking taylor expansion of im in im 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 5.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.485 * [taylor]: Taking taylor expansion of re in im 5.485 * [backup-simplify]: Simplify re into re 5.485 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.485 * [taylor]: Taking taylor expansion of im in im 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (* 1 1) into 1 5.490 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.491 * [taylor]: Taking taylor expansion of re in im 5.491 * [backup-simplify]: Simplify re into re 5.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.491 * [backup-simplify]: Simplify (+ 1 0) into 1 5.492 * [backup-simplify]: Simplify (sqrt 1) into 1 5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.494 * [backup-simplify]: Simplify (+ 0 1) into 1 5.495 * [backup-simplify]: Simplify (/ 1 1) into 1 5.495 * [backup-simplify]: Simplify (sqrt 0) into 0 5.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.497 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.497 * [taylor]: Taking taylor expansion of 0 in re 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.500 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 5.500 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.500 * [taylor]: Taking taylor expansion of +nan.0 in re 5.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.500 * [taylor]: Taking taylor expansion of 2.0 in re 5.500 * [backup-simplify]: Simplify 2.0 into 2.0 5.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.502 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.503 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.504 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 5.506 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 5.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 5.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.509 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.509 * [taylor]: Taking taylor expansion of +nan.0 in re 5.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.509 * [taylor]: Taking taylor expansion of 2.0 in re 5.509 * [backup-simplify]: Simplify 2.0 into 2.0 5.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.510 * [taylor]: Taking taylor expansion of +nan.0 in re 5.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.510 * [taylor]: Taking taylor expansion of 2.0 in re 5.510 * [backup-simplify]: Simplify 2.0 into 2.0 5.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.511 * [taylor]: Taking taylor expansion of re in re 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.513 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.516 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.518 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.520 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.520 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.521 * [backup-simplify]: Simplify (- 0) into 0 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 5.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.524 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.526 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 5.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 5.531 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 5.531 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 5.531 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.531 * [taylor]: Taking taylor expansion of +nan.0 in re 5.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.531 * [taylor]: Taking taylor expansion of 2.0 in re 5.531 * [backup-simplify]: Simplify 2.0 into 2.0 5.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.532 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.532 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.532 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 5.532 * [taylor]: Taking taylor expansion of +nan.0 in re 5.532 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.532 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 5.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.532 * [taylor]: Taking taylor expansion of 2.0 in re 5.532 * [backup-simplify]: Simplify 2.0 into 2.0 5.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.533 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.533 * [taylor]: Taking taylor expansion of re in re 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (* 1 1) into 1 5.534 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.534 * [taylor]: Taking taylor expansion of +nan.0 in re 5.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.534 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.535 * [taylor]: Taking taylor expansion of 2.0 in re 5.535 * [backup-simplify]: Simplify 2.0 into 2.0 5.535 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.536 * [taylor]: Taking taylor expansion of re in re 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.537 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.545 * [backup-simplify]: Simplify (- 0) into 0 5.545 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (- 0) into 0 5.547 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.549 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.550 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.554 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 5.555 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 5.555 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 5.555 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 5.555 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 5.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.555 * [taylor]: Taking taylor expansion of 2.0 in re 5.555 * [backup-simplify]: Simplify 2.0 into 2.0 5.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.556 * [taylor]: Taking taylor expansion of im in re 5.556 * [backup-simplify]: Simplify im into im 5.557 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 5.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 5.557 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 5.557 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.557 * [taylor]: Taking taylor expansion of im in re 5.557 * [backup-simplify]: Simplify im into im 5.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.557 * [taylor]: Taking taylor expansion of re in re 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.559 * [backup-simplify]: Simplify (+ 0 1) into 1 5.559 * [backup-simplify]: Simplify (sqrt 1) into 1 5.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.561 * [taylor]: Taking taylor expansion of re in re 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.562 * [backup-simplify]: Simplify (- 1) into -1 5.562 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.563 * [backup-simplify]: Simplify (- 0) into 0 5.563 * [backup-simplify]: Simplify (+ 0 0) into 0 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.566 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- 0) into 0 5.568 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.568 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 5.568 * [backup-simplify]: Simplify (sqrt 0) into 0 5.569 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 5.569 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 5.569 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.569 * [taylor]: Taking taylor expansion of 2.0 in im 5.569 * [backup-simplify]: Simplify 2.0 into 2.0 5.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.570 * [taylor]: Taking taylor expansion of im in im 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 5.571 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 5.571 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.571 * [taylor]: Taking taylor expansion of im in im 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (* 1 1) into 1 5.572 * [backup-simplify]: Simplify (/ 1 1) into 1 5.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.572 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.572 * [taylor]: Taking taylor expansion of re in im 5.572 * [backup-simplify]: Simplify re into re 5.572 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.572 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.573 * [backup-simplify]: Simplify (+ 1 0) into 1 5.573 * [backup-simplify]: Simplify (sqrt 1) into 1 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.575 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.576 * [taylor]: Taking taylor expansion of re in im 5.576 * [backup-simplify]: Simplify re into re 5.576 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.576 * [backup-simplify]: Simplify (+ 1 0) into 1 5.576 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [backup-simplify]: Simplify (sqrt 0) into 0 5.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.578 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 5.578 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.578 * [taylor]: Taking taylor expansion of 2.0 in im 5.578 * [backup-simplify]: Simplify 2.0 into 2.0 5.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.579 * [taylor]: Taking taylor expansion of im in im 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 5.580 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 5.580 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.580 * [taylor]: Taking taylor expansion of im in im 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (* 1 1) into 1 5.581 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.581 * [taylor]: Taking taylor expansion of re in im 5.581 * [backup-simplify]: Simplify re into re 5.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.582 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.582 * [backup-simplify]: Simplify (+ 1 0) into 1 5.582 * [backup-simplify]: Simplify (sqrt 1) into 1 5.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.585 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.585 * [taylor]: Taking taylor expansion of re in im 5.585 * [backup-simplify]: Simplify re into re 5.585 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.585 * [backup-simplify]: Simplify (+ 1 0) into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [backup-simplify]: Simplify (sqrt 0) into 0 5.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.587 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.588 * [taylor]: Taking taylor expansion of 0 in re 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 5.590 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.590 * [taylor]: Taking taylor expansion of +nan.0 in re 5.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.590 * [taylor]: Taking taylor expansion of 2.0 in re 5.590 * [backup-simplify]: Simplify 2.0 into 2.0 5.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 5.592 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 5.593 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 5.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 5.597 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.598 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.598 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.598 * [taylor]: Taking taylor expansion of +nan.0 in re 5.598 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.598 * [taylor]: Taking taylor expansion of 2.0 in re 5.598 * [backup-simplify]: Simplify 2.0 into 2.0 5.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.599 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.599 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.599 * [taylor]: Taking taylor expansion of +nan.0 in re 5.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.599 * [taylor]: Taking taylor expansion of 2.0 in re 5.600 * [backup-simplify]: Simplify 2.0 into 2.0 5.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.601 * [taylor]: Taking taylor expansion of re in re 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.603 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.604 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.606 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.608 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.609 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.610 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.612 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.613 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.613 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.615 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 5.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.617 * [backup-simplify]: Simplify (- 0) into 0 5.617 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.618 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 5.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 5.626 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 5.626 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 5.626 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.626 * [taylor]: Taking taylor expansion of +nan.0 in re 5.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.627 * [taylor]: Taking taylor expansion of 2.0 in re 5.627 * [backup-simplify]: Simplify 2.0 into 2.0 5.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.628 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.628 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.628 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 5.628 * [taylor]: Taking taylor expansion of +nan.0 in re 5.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.628 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 5.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.628 * [taylor]: Taking taylor expansion of 2.0 in re 5.628 * [backup-simplify]: Simplify 2.0 into 2.0 5.629 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.629 * [taylor]: Taking taylor expansion of re in re 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.631 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.631 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.631 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.631 * [taylor]: Taking taylor expansion of +nan.0 in re 5.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.631 * [taylor]: Taking taylor expansion of 2.0 in re 5.631 * [backup-simplify]: Simplify 2.0 into 2.0 5.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.632 * [taylor]: Taking taylor expansion of re in re 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.636 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.637 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.640 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.642 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.644 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.646 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.647 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.652 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 5.652 * * * [progress]: simplifying candidates 5.655 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (+ (* im im) 0)))) (exp (sqrt (* 2.0 (+ (* im im) 0)))) (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 2.0) (sqrt (+ (* im im) 0)) (sqrt (* 2.0 (+ (pow (* im im) 3) (pow 0 3)))) (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))) (sqrt (* 2.0 (- (* (* im im) (* im im)) (* 0 0)))) (sqrt (- (* im im) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (- (log (sqrt (* 2.0 (+ (* im im) 0)))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ 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(sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* im im) 0))) im re (* -1 re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 5.661 * * [simplify]: Extracting # 0 : cost 0 5.661 * * [simplify]: Extracting # 1 : cost 0 5.662 * * [simplify]: Extracting # 2 : cost 0 5.662 * * [simplify]: Extracting # 3 : cost 0 5.662 * * [simplify]: Extracting # 4 : cost 0 5.663 * * [simplify]: Extracting # 5 : cost 0 5.663 * * [simplify]: Extracting # 6 : cost 0 5.664 * * [simplify]: Extracting # 7 : cost 0 5.664 * * [simplify]: Extracting # 8 : cost 0 5.665 * * [simplify]: Extracting # 9 : cost 0 5.665 * * [simplify]: Extracting # 10 : cost 0 5.665 * * [simplify]: Extracting # 11 : cost 0 5.666 * * [simplify]: Extracting # 12 : cost 0 5.667 * * [simplify]: iteration 0 : 198 enodes (cost 2506 ) 5.757 * * [simplify]: Extracting # 0 : cost 0 5.758 * * [simplify]: Extracting # 1 : cost 0 5.759 * * [simplify]: Extracting # 2 : cost 0 5.760 * * [simplify]: Extracting # 3 : cost 0 5.761 * * [simplify]: Extracting # 4 : cost 0 5.762 * * [simplify]: iteration 1 : 462 enodes (cost 2091 ) 6.158 * * [simplify]: Extracting # 0 : cost 0 6.163 * * [simplify]: Extracting # 1 : cost 0 6.167 * * [simplify]: Extracting # 2 : cost 0 6.171 * * [simplify]: Extracting # 3 : cost 0 6.175 * * [simplify]: Extracting # 4 : cost 0 6.179 * * [simplify]: iteration 2 : 2073 enodes (cost 1954 ) 7.191 * * [simplify]: Extracting # 0 : cost 0 7.208 * * [simplify]: Extracting # 1 : cost 0 7.233 * * [simplify]: Extracting # 2 : cost 0 7.248 * * [simplify]: Extracting # 3 : cost 0 7.257 * * [simplify]: Extracting # 4 : cost 0 7.268 * * [simplify]: iteration done: 5002 enodes (cost 1936 ) 7.270 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* (* re re) (* im im))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* (pow im 2) 2.0))) (exp (sqrt (* (pow im 2) 2.0))) (* (cbrt (sqrt (* (pow im 2) 2.0))) (cbrt (sqrt (* (pow im 2) 2.0)))) (cbrt (sqrt (* (pow im 2) 2.0))) (pow (sqrt (* (pow im 2) 2.0)) 3) (sqrt 2.0) 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(* re re) (* im im))) re))) im re (- re) (* im (sqrt 2.0)) (* im (sqrt 2.0)) (- (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (+ (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re))))) (* +nan.0 (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (- (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0))))) (+ (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2)))) (- (* +nan.0 (sqrt 2.0)))) 7.271 * * * [progress]: adding candidates to table 8.034 * * [progress]: iteration 4 / 4 8.034 * * * [progress]: picking best candidate 8.079 * * * * [pick]: Picked # 8.079 * * * [progress]: localizing error 8.132 * * * [progress]: generating rewritten candidates 8.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 8.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 8.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 8.473 * * * [progress]: generating series expansions 8.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 8.473 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 8.473 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.473 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.473 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.473 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.473 * [taylor]: Taking taylor expansion of re in im 8.473 * [backup-simplify]: Simplify re into re 8.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.474 * [taylor]: Taking taylor expansion of im in im 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.474 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.474 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.474 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.475 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.475 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.475 * [taylor]: Taking taylor expansion of re in re 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.475 * [taylor]: Taking taylor expansion of im in re 8.475 * [backup-simplify]: Simplify im into im 8.475 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.475 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.475 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.475 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.476 * [backup-simplify]: Simplify (+ 0 0) into 0 8.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.476 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.476 * [taylor]: Taking taylor expansion of re in re 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.476 * [taylor]: Taking taylor expansion of im in re 8.476 * [backup-simplify]: Simplify im into im 8.476 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.477 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.477 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.477 * [backup-simplify]: Simplify (+ 0 0) into 0 8.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.477 * [taylor]: Taking taylor expansion of im in im 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [taylor]: Taking taylor expansion of 0 in im 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (* 1 1) into 1 8.478 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.479 * [backup-simplify]: Simplify (+ 1 0) into 1 8.479 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.480 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.480 * [taylor]: Taking taylor expansion of 1/2 in im 8.480 * [backup-simplify]: Simplify 1/2 into 1/2 8.480 * [taylor]: Taking taylor expansion of im in im 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.482 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.483 * [backup-simplify]: Simplify (+ 0 0) into 0 8.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.483 * [taylor]: Taking taylor expansion of 0 in im 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.484 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.484 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.484 * [taylor]: Taking taylor expansion of im in im 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.485 * [backup-simplify]: Simplify (* 1 1) into 1 8.485 * [backup-simplify]: Simplify (/ 1 1) into 1 8.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.485 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.485 * [taylor]: Taking taylor expansion of re in im 8.485 * [backup-simplify]: Simplify re into re 8.485 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.485 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.486 * [backup-simplify]: Simplify (+ 1 0) into 1 8.486 * [backup-simplify]: Simplify (sqrt 1) into 1 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ 0 0) into 0 8.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.488 * [taylor]: Taking taylor expansion of im in re 8.488 * [backup-simplify]: Simplify im into im 8.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.489 * [taylor]: Taking taylor expansion of re in re 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [backup-simplify]: Simplify (+ 0 1) into 1 8.490 * [backup-simplify]: Simplify (sqrt 1) into 1 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ 0 0) into 0 8.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.493 * [taylor]: Taking taylor expansion of im in re 8.493 * [backup-simplify]: Simplify im into im 8.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.493 * [taylor]: Taking taylor expansion of re in re 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [backup-simplify]: Simplify (* 1 1) into 1 8.494 * [backup-simplify]: Simplify (/ 1 1) into 1 8.494 * [backup-simplify]: Simplify (+ 0 1) into 1 8.494 * [backup-simplify]: Simplify (sqrt 1) into 1 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.497 * [taylor]: Taking taylor expansion of 1 in im 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of 0 in im 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.499 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.500 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.500 * [taylor]: Taking taylor expansion of 1/2 in im 8.500 * [backup-simplify]: Simplify 1/2 into 1/2 8.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.500 * [taylor]: Taking taylor expansion of im in im 8.500 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify (* 1 1) into 1 8.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.506 * [taylor]: Taking taylor expansion of 0 in im 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.508 * [taylor]: Taking taylor expansion of im in im 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (* 1 1) into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.509 * [taylor]: Taking taylor expansion of re in im 8.509 * [backup-simplify]: Simplify re into re 8.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.510 * [backup-simplify]: Simplify (+ 1 0) into 1 8.510 * [backup-simplify]: Simplify (sqrt 1) into 1 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.512 * [taylor]: Taking taylor expansion of im in re 8.512 * [backup-simplify]: Simplify im into im 8.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.513 * [taylor]: Taking taylor expansion of re in re 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (* 1 1) into 1 8.514 * [backup-simplify]: Simplify (/ 1 1) into 1 8.514 * [backup-simplify]: Simplify (+ 0 1) into 1 8.514 * [backup-simplify]: Simplify (sqrt 1) into 1 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (+ 0 0) into 0 8.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.517 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.517 * [taylor]: Taking taylor expansion of im in re 8.517 * [backup-simplify]: Simplify im into im 8.517 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.517 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.517 * [taylor]: Taking taylor expansion of re in re 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 1 into 1 8.518 * [backup-simplify]: Simplify (* 1 1) into 1 8.518 * [backup-simplify]: Simplify (/ 1 1) into 1 8.518 * [backup-simplify]: Simplify (+ 0 1) into 1 8.519 * [backup-simplify]: Simplify (sqrt 1) into 1 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.521 * [taylor]: Taking taylor expansion of 1 in im 8.521 * [backup-simplify]: Simplify 1 into 1 8.521 * [taylor]: Taking taylor expansion of 0 in im 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.524 * [taylor]: Taking taylor expansion of 1/2 in im 8.524 * [backup-simplify]: Simplify 1/2 into 1/2 8.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.524 * [taylor]: Taking taylor expansion of im in im 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (* 1 1) into 1 8.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (+ 0 0) into 0 8.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.530 * [taylor]: Taking taylor expansion of 0 in im 8.530 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.532 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 8.532 * [backup-simplify]: Simplify (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 8.532 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 8.532 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 8.532 * [taylor]: Taking taylor expansion of (fabs im) in re 8.534 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 8.535 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 8.535 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.535 * [taylor]: Taking taylor expansion of re in re 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.535 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.535 * [taylor]: Taking taylor expansion of re in re 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.535 * [taylor]: Taking taylor expansion of im in re 8.535 * [backup-simplify]: Simplify im into im 8.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.535 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.535 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.536 * [backup-simplify]: Simplify (+ 0 im) into im 8.536 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.536 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 8.537 * [backup-simplify]: Simplify (+ 1 0) into 1 8.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 8.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 8.537 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.537 * [taylor]: Taking taylor expansion of (fabs im) in im 8.537 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.537 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.537 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.537 * [taylor]: Taking taylor expansion of re in im 8.537 * [backup-simplify]: Simplify re into re 8.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.537 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.537 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.537 * [taylor]: Taking taylor expansion of re in im 8.537 * [backup-simplify]: Simplify re into re 8.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.538 * [taylor]: Taking taylor expansion of im in im 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.538 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.538 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.538 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.539 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.539 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.539 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.540 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.540 * [taylor]: Taking taylor expansion of (fabs im) in im 8.540 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.540 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.540 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.540 * [taylor]: Taking taylor expansion of re in im 8.540 * [backup-simplify]: Simplify re into re 8.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.540 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.540 * [taylor]: Taking taylor expansion of re in im 8.540 * [backup-simplify]: Simplify re into re 8.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.540 * [taylor]: Taking taylor expansion of im in im 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.540 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.540 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.540 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.541 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.541 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.541 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.542 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.542 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) 8.543 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) in re 8.543 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re 8.543 * [taylor]: Taking taylor expansion of (fabs im) in re 8.543 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.543 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.543 * [taylor]: Taking taylor expansion of 1/2 in re 8.543 * [backup-simplify]: Simplify 1/2 into 1/2 8.543 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 8.544 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.544 * [taylor]: Taking taylor expansion of re in re 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [backup-simplify]: Simplify (sqrt 0) into 0 8.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.546 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2)) 8.547 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0 8.547 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 8.548 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 8.548 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 8.548 * [taylor]: Taking taylor expansion of 0 in re 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.553 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 8.555 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 8.555 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 8.556 * [backup-simplify]: Simplify (* 1 1) into 1 8.556 * [backup-simplify]: Simplify (+ 0 1) into 1 8.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 8.557 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 8.557 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 8.558 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 8.560 * [backup-simplify]: Simplify (+ (* (fabs im) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 8.560 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 8.560 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 8.561 * [taylor]: Taking taylor expansion of 1/16 in re 8.561 * [backup-simplify]: Simplify 1/16 into 1/16 8.561 * [taylor]: Taking taylor expansion of (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 8.561 * [taylor]: Taking taylor expansion of (/ (fabs im) (sqrt 1/2)) in re 8.561 * [taylor]: Taking taylor expansion of (fabs im) in re 8.561 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.561 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.561 * [taylor]: Taking taylor expansion of 1/2 in re 8.561 * [backup-simplify]: Simplify 1/2 into 1/2 8.561 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.562 * [backup-simplify]: Simplify (/ (fabs im) (sqrt 1/2)) into (/ (fabs im) (sqrt 1/2)) 8.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 8.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 8.562 * [taylor]: Taking taylor expansion of (pow re 5) in re 8.562 * [taylor]: Taking taylor expansion of re in re 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (* 1 1) into 1 8.564 * [backup-simplify]: Simplify (/ 1 1) into 1 8.564 * [backup-simplify]: Simplify (sqrt 0) into 0 8.565 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.579 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 8.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.582 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 8.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 8.585 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 8.586 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.587 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.588 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.589 * [backup-simplify]: Simplify (* (/ (fabs im) (sqrt 1/2)) 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.591 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.592 * [backup-simplify]: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 8.594 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) (* re 1)) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) 8.594 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 8.594 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 8.594 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 8.594 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.594 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 8.594 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 8.594 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.594 * [taylor]: Taking taylor expansion of re in re 8.594 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [backup-simplify]: Simplify (/ 1 1) into 1 8.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.595 * [taylor]: Taking taylor expansion of im in re 8.595 * [backup-simplify]: Simplify im into im 8.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.595 * [taylor]: Taking taylor expansion of re in re 8.595 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* 1 1) into 1 8.596 * [backup-simplify]: Simplify (/ 1 1) into 1 8.597 * [backup-simplify]: Simplify (+ 0 1) into 1 8.597 * [backup-simplify]: Simplify (sqrt 1) into 1 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.605 * [backup-simplify]: Simplify (+ 1 1) into 2 8.605 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.606 * [backup-simplify]: Simplify (sqrt 0) into 0 8.607 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 8.607 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.607 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 8.607 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.608 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.608 * [taylor]: Taking taylor expansion of re in im 8.608 * [backup-simplify]: Simplify re into re 8.608 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.608 * [taylor]: Taking taylor expansion of im in im 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (* 1 1) into 1 8.609 * [backup-simplify]: Simplify (/ 1 1) into 1 8.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.609 * [taylor]: Taking taylor expansion of re in im 8.609 * [backup-simplify]: Simplify re into re 8.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.610 * [backup-simplify]: Simplify (+ 1 0) into 1 8.610 * [backup-simplify]: Simplify (sqrt 1) into 1 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ 0 0) into 0 8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.613 * [backup-simplify]: Simplify (+ 0 1) into 1 8.613 * [backup-simplify]: Simplify (/ 1 1) into 1 8.614 * [backup-simplify]: Simplify (sqrt 0) into 0 8.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.615 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.615 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 8.615 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.615 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.615 * [taylor]: Taking taylor expansion of re in im 8.615 * [backup-simplify]: Simplify re into re 8.615 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.615 * [taylor]: Taking taylor expansion of im in im 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (* 1 1) into 1 8.616 * [backup-simplify]: Simplify (/ 1 1) into 1 8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.616 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.616 * [taylor]: Taking taylor expansion of re in im 8.616 * [backup-simplify]: Simplify re into re 8.616 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.616 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.617 * [backup-simplify]: Simplify (+ 1 0) into 1 8.617 * [backup-simplify]: Simplify (sqrt 1) into 1 8.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.620 * [backup-simplify]: Simplify (+ 0 1) into 1 8.620 * [backup-simplify]: Simplify (/ 1 1) into 1 8.620 * [backup-simplify]: Simplify (sqrt 0) into 0 8.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.622 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 0) into 0 8.622 * [taylor]: Taking taylor expansion of 0 in re 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ 1 im)))) 8.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ 1 im)))) in re 8.622 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 8.622 * [taylor]: Taking taylor expansion of +nan.0 in re 8.622 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.622 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.622 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.623 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 8.623 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.623 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 8.624 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 8.625 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) 8.626 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) in re 8.626 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re)))) in re 8.626 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 8.626 * [taylor]: Taking taylor expansion of +nan.0 in re 8.626 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.626 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.626 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.626 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) re))) in re 8.626 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 8.626 * [taylor]: Taking taylor expansion of +nan.0 in re 8.626 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.626 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 8.626 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.626 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.626 * [taylor]: Taking taylor expansion of re in re 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 8.626 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 8.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 8.628 * [backup-simplify]: Simplify (- 0) into 0 8.628 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 8.628 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.628 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.629 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 8.629 * [backup-simplify]: Simplify (- 0) into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.633 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.633 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.635 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 8.637 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) 8.637 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) in re 8.637 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))) in re 8.637 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 8.637 * [taylor]: Taking taylor expansion of +nan.0 in re 8.637 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.637 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.637 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.637 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))) in re 8.637 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))) in re 8.637 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 8.637 * [taylor]: Taking taylor expansion of +nan.0 in re 8.637 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.637 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 8.637 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.637 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.637 * [taylor]: Taking taylor expansion of re in re 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 8.637 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))) in re 8.637 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))) in re 8.637 * [taylor]: Taking taylor expansion of +nan.0 in re 8.637 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.637 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re 8.637 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.638 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.638 * [taylor]: Taking taylor expansion of re in re 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (* 1 1) into 1 8.639 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 8.639 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 8.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 8.645 * [backup-simplify]: Simplify (- 0) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.646 * [backup-simplify]: Simplify (- 0) into 0 8.646 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 8.646 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.646 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 8.647 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) 8.648 * [backup-simplify]: Simplify (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 8.648 * [approximate]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 8.648 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 8.648 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.648 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 8.648 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 8.648 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.648 * [taylor]: Taking taylor expansion of im in re 8.648 * [backup-simplify]: Simplify im into im 8.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.649 * [taylor]: Taking taylor expansion of re in re 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (* 1 1) into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (+ 0 1) into 1 8.650 * [backup-simplify]: Simplify (sqrt 1) into 1 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.653 * [taylor]: Taking taylor expansion of re in re 8.653 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify 1 into 1 8.653 * [backup-simplify]: Simplify (/ 1 1) into 1 8.654 * [backup-simplify]: Simplify (- 1) into -1 8.654 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (- 0) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.658 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (- 0) into 0 8.660 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.660 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 8.660 * [backup-simplify]: Simplify (sqrt 0) into 0 8.661 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 8.661 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.661 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 8.661 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.661 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.661 * [taylor]: Taking taylor expansion of im in im 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (/ 1 1) into 1 8.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.662 * [taylor]: Taking taylor expansion of re in im 8.662 * [backup-simplify]: Simplify re into re 8.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.663 * [backup-simplify]: Simplify (+ 1 0) into 1 8.663 * [backup-simplify]: Simplify (sqrt 1) into 1 8.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.665 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.665 * [taylor]: Taking taylor expansion of re in im 8.665 * [backup-simplify]: Simplify re into re 8.665 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.666 * [backup-simplify]: Simplify (+ 1 0) into 1 8.666 * [backup-simplify]: Simplify (/ 1 1) into 1 8.666 * [backup-simplify]: Simplify (sqrt 0) into 0 8.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.668 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.668 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 8.668 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.668 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.668 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.668 * [taylor]: Taking taylor expansion of im in im 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.669 * [backup-simplify]: Simplify (/ 1 1) into 1 8.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.669 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.669 * [taylor]: Taking taylor expansion of re in im 8.669 * [backup-simplify]: Simplify re into re 8.669 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.669 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.670 * [backup-simplify]: Simplify (+ 1 0) into 1 8.670 * [backup-simplify]: Simplify (sqrt 1) into 1 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.672 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.672 * [taylor]: Taking taylor expansion of re in im 8.672 * [backup-simplify]: Simplify re into re 8.672 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.673 * [backup-simplify]: Simplify (+ 1 0) into 1 8.673 * [backup-simplify]: Simplify (/ 1 1) into 1 8.673 * [backup-simplify]: Simplify (sqrt 0) into 0 8.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.675 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 0) into 0 8.675 * [taylor]: Taking taylor expansion of 0 in re 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ -1 im)))) 8.675 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ -1 im)))) in re 8.675 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 8.675 * [taylor]: Taking taylor expansion of +nan.0 in re 8.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.675 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.675 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 8.676 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 8.677 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 8.678 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) 8.678 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 8.678 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 8.678 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 8.678 * [taylor]: Taking taylor expansion of +nan.0 in re 8.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.678 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.678 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.678 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 8.678 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 8.678 * [taylor]: Taking taylor expansion of +nan.0 in re 8.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.678 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 8.678 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.678 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.678 * [taylor]: Taking taylor expansion of re in re 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 8.678 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 8.678 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 8.679 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.679 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.682 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.683 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.683 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 8.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.684 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 8.686 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) 8.687 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) in re 8.687 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) in re 8.687 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 8.687 * [taylor]: Taking taylor expansion of +nan.0 in re 8.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.687 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.687 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.687 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 8.687 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 8.687 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) in re 8.687 * [taylor]: Taking taylor expansion of +nan.0 in re 8.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.687 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re 8.687 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.687 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.687 * [taylor]: Taking taylor expansion of re in re 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (* 1 1) into 1 8.688 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 8.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 8.688 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 8.688 * [taylor]: Taking taylor expansion of +nan.0 in re 8.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.688 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 8.688 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.688 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.688 * [taylor]: Taking taylor expansion of re in re 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 8.692 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 8.692 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.692 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.693 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.693 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.693 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.693 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 8.694 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) 8.695 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.696 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 8.696 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 8.696 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 8.696 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 8.696 * [taylor]: Taking taylor expansion of (fabs im) in re 8.696 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.696 * [taylor]: Taking taylor expansion of 2.0 in re 8.696 * [backup-simplify]: Simplify 2.0 into 2.0 8.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 8.699 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 8.699 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.699 * [taylor]: Taking taylor expansion of re in re 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.699 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.699 * [taylor]: Taking taylor expansion of re in re 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.699 * [taylor]: Taking taylor expansion of im in re 8.699 * [backup-simplify]: Simplify im into im 8.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.700 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.701 * [backup-simplify]: Simplify (+ 0 im) into im 8.701 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.701 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 8.701 * [backup-simplify]: Simplify (+ 1 0) into 1 8.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 8.702 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 8.702 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.702 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 8.702 * [taylor]: Taking taylor expansion of (fabs im) in im 8.702 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.702 * [taylor]: Taking taylor expansion of 2.0 in im 8.702 * [backup-simplify]: Simplify 2.0 into 2.0 8.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.703 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.703 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.703 * [taylor]: Taking taylor expansion of re in im 8.703 * [backup-simplify]: Simplify re into re 8.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.703 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.703 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.703 * [taylor]: Taking taylor expansion of re in im 8.703 * [backup-simplify]: Simplify re into re 8.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.703 * [taylor]: Taking taylor expansion of im in im 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.704 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.704 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.704 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.704 * [backup-simplify]: Simplify (+ 0 0) into 0 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.705 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.705 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.705 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.705 * [backup-simplify]: Simplify (+ 0 0) into 0 8.705 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.705 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.705 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 8.705 * [taylor]: Taking taylor expansion of (fabs im) in im 8.705 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.705 * [taylor]: Taking taylor expansion of 2.0 in im 8.706 * [backup-simplify]: Simplify 2.0 into 2.0 8.706 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.707 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.707 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.707 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.707 * [taylor]: Taking taylor expansion of re in im 8.707 * [backup-simplify]: Simplify re into re 8.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.707 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.707 * [taylor]: Taking taylor expansion of re in im 8.707 * [backup-simplify]: Simplify re into re 8.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.707 * [taylor]: Taking taylor expansion of im in im 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.707 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.707 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.708 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.709 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.709 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.710 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.710 * [backup-simplify]: Simplify (+ 0 0) into 0 8.710 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.712 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 8.714 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) 8.714 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 8.715 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 8.715 * [taylor]: Taking taylor expansion of (fabs im) in re 8.715 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 8.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.715 * [taylor]: Taking taylor expansion of 2.0 in re 8.715 * [backup-simplify]: Simplify 2.0 into 2.0 8.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.717 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.717 * [taylor]: Taking taylor expansion of 1/2 in re 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.718 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 8.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.720 * [taylor]: Taking taylor expansion of re in re 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.721 * [backup-simplify]: Simplify (/ 1 1) into 1 8.722 * [backup-simplify]: Simplify (sqrt 0) into 0 8.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.726 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 8.727 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) 8.728 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 8.729 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 1/2)))) into 0 8.730 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 8.732 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 8.732 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 8.733 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 8.733 * [taylor]: Taking taylor expansion of 0 in re 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.740 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 1/2))))) into 0 8.743 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 8.744 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 8.745 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 8.745 * [backup-simplify]: Simplify (* 1 1) into 1 8.746 * [backup-simplify]: Simplify (+ 0 1) into 1 8.746 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 8.746 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 8.747 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 8.748 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 8.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.750 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.752 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 8.753 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 8.753 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 8.753 * [taylor]: Taking taylor expansion of 1/16 in re 8.753 * [backup-simplify]: Simplify 1/16 into 1/16 8.753 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 8.753 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 8.753 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 8.753 * [taylor]: Taking taylor expansion of (fabs im) in re 8.753 * [backup-simplify]: Simplify (fabs im) into (fabs im) 8.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.753 * [taylor]: Taking taylor expansion of 2.0 in re 8.753 * [backup-simplify]: Simplify 2.0 into 2.0 8.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.754 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.754 * [taylor]: Taking taylor expansion of 1/2 in re 8.754 * [backup-simplify]: Simplify 1/2 into 1/2 8.755 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.756 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 8.756 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 8.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 8.756 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 8.756 * [taylor]: Taking taylor expansion of (pow re 5) in re 8.756 * [taylor]: Taking taylor expansion of re in re 8.756 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [backup-simplify]: Simplify (* 1 1) into 1 8.757 * [backup-simplify]: Simplify (* 1 1) into 1 8.757 * [backup-simplify]: Simplify (* 1 1) into 1 8.758 * [backup-simplify]: Simplify (/ 1 1) into 1 8.758 * [backup-simplify]: Simplify (sqrt 0) into 0 8.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.776 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 8.777 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 8.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.779 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.782 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 8.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.784 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 8.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 8.788 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 8.790 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.791 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.792 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.793 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 0) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.796 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.797 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 8.801 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) (* re 1)) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) 8.802 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 8.802 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 8.802 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 8.802 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.802 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.802 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.802 * [taylor]: Taking taylor expansion of 2.0 in re 8.802 * [backup-simplify]: Simplify 2.0 into 2.0 8.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 8.803 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 8.803 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.803 * [taylor]: Taking taylor expansion of re in re 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 1 into 1 8.804 * [backup-simplify]: Simplify (/ 1 1) into 1 8.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.804 * [taylor]: Taking taylor expansion of im in re 8.804 * [backup-simplify]: Simplify im into im 8.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.804 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.804 * [taylor]: Taking taylor expansion of re in re 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.805 * [backup-simplify]: Simplify (* 1 1) into 1 8.805 * [backup-simplify]: Simplify (/ 1 1) into 1 8.805 * [backup-simplify]: Simplify (+ 0 1) into 1 8.806 * [backup-simplify]: Simplify (sqrt 1) into 1 8.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ 0 0) into 0 8.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.808 * [backup-simplify]: Simplify (+ 1 1) into 2 8.808 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.809 * [backup-simplify]: Simplify (sqrt 0) into 0 8.810 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 8.810 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.810 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 8.810 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 8.810 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.810 * [taylor]: Taking taylor expansion of 2.0 in im 8.811 * [backup-simplify]: Simplify 2.0 into 2.0 8.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.812 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.812 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.812 * [taylor]: Taking taylor expansion of re in im 8.812 * [backup-simplify]: Simplify re into re 8.812 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.812 * [taylor]: Taking taylor expansion of im in im 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [backup-simplify]: Simplify (* 1 1) into 1 8.813 * [backup-simplify]: Simplify (/ 1 1) into 1 8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.813 * [taylor]: Taking taylor expansion of re in im 8.813 * [backup-simplify]: Simplify re into re 8.813 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.813 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.813 * [backup-simplify]: Simplify (+ 1 0) into 1 8.814 * [backup-simplify]: Simplify (sqrt 1) into 1 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.817 * [backup-simplify]: Simplify (+ 0 1) into 1 8.817 * [backup-simplify]: Simplify (/ 1 1) into 1 8.817 * [backup-simplify]: Simplify (sqrt 0) into 0 8.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.819 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.819 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 8.819 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 8.819 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.819 * [taylor]: Taking taylor expansion of 2.0 in im 8.819 * [backup-simplify]: Simplify 2.0 into 2.0 8.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.820 * [taylor]: Taking taylor expansion of re in im 8.820 * [backup-simplify]: Simplify re into re 8.820 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.820 * [taylor]: Taking taylor expansion of im in im 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 1 into 1 8.821 * [backup-simplify]: Simplify (* 1 1) into 1 8.821 * [backup-simplify]: Simplify (/ 1 1) into 1 8.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.821 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.821 * [taylor]: Taking taylor expansion of re in im 8.821 * [backup-simplify]: Simplify re into re 8.821 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.822 * [backup-simplify]: Simplify (+ 1 0) into 1 8.822 * [backup-simplify]: Simplify (sqrt 1) into 1 8.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.824 * [backup-simplify]: Simplify (+ 0 0) into 0 8.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.825 * [backup-simplify]: Simplify (+ 0 1) into 1 8.825 * [backup-simplify]: Simplify (/ 1 1) into 1 8.826 * [backup-simplify]: Simplify (sqrt 0) into 0 8.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.827 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.828 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 8.828 * [taylor]: Taking taylor expansion of 0 in re 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 8.829 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.829 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 8.829 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 8.829 * [taylor]: Taking taylor expansion of +nan.0 in re 8.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.829 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.829 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.829 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.830 * [taylor]: Taking taylor expansion of 2.0 in re 8.830 * [backup-simplify]: Simplify 2.0 into 2.0 8.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.831 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.831 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 8.832 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.832 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.832 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 8.834 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 8.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.836 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 8.837 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 8.837 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 8.837 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 8.837 * [taylor]: Taking taylor expansion of +nan.0 in re 8.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.837 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.837 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.837 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.838 * [taylor]: Taking taylor expansion of 2.0 in re 8.838 * [backup-simplify]: Simplify 2.0 into 2.0 8.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 8.839 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 8.839 * [taylor]: Taking taylor expansion of +nan.0 in re 8.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.839 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 8.839 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.839 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.839 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.839 * [taylor]: Taking taylor expansion of 2.0 in re 8.839 * [backup-simplify]: Simplify 2.0 into 2.0 8.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.840 * [taylor]: Taking taylor expansion of re in re 8.840 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify 1 into 1 8.840 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.841 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.841 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.842 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 8.842 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 8.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.845 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.846 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.847 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 8.847 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.851 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 8.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.853 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 8.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.855 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 8.857 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 8.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 8.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 8.857 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 8.857 * [taylor]: Taking taylor expansion of +nan.0 in re 8.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.857 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.857 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.857 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.857 * [taylor]: Taking taylor expansion of 2.0 in re 8.857 * [backup-simplify]: Simplify 2.0 into 2.0 8.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.859 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 8.859 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 8.859 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 8.859 * [taylor]: Taking taylor expansion of +nan.0 in re 8.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.859 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 8.859 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.859 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.859 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.859 * [taylor]: Taking taylor expansion of 2.0 in re 8.859 * [backup-simplify]: Simplify 2.0 into 2.0 8.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.860 * [taylor]: Taking taylor expansion of re in re 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.860 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.861 * [backup-simplify]: Simplify (* 1 1) into 1 8.861 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.861 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 8.861 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 8.861 * [taylor]: Taking taylor expansion of +nan.0 in re 8.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.861 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 8.861 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 8.861 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 8.862 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 8.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.862 * [taylor]: Taking taylor expansion of 2.0 in re 8.862 * [backup-simplify]: Simplify 2.0 into 2.0 8.862 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.863 * [taylor]: Taking taylor expansion of re in re 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 1 into 1 8.863 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.864 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.864 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 8.864 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 8.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.866 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.868 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 8.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 8.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.872 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into 0 8.873 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 8.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 8.875 * [backup-simplify]: Simplify (- 0) into 0 8.876 * [backup-simplify]: Simplify (+ 0 0) into 0 8.876 * [backup-simplify]: Simplify (- 0) into 0 8.877 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.877 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.878 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 8.880 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 8.881 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 8.881 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 8.881 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 8.881 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.881 * [taylor]: Taking taylor expansion of 2.0 in re 8.881 * [backup-simplify]: Simplify 2.0 into 2.0 8.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.883 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.883 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 8.883 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 8.883 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.883 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.883 * [taylor]: Taking taylor expansion of im in re 8.883 * [backup-simplify]: Simplify im into im 8.883 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.883 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.883 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.883 * [taylor]: Taking taylor expansion of re in re 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (* 1 1) into 1 8.884 * [backup-simplify]: Simplify (/ 1 1) into 1 8.884 * [backup-simplify]: Simplify (+ 0 1) into 1 8.885 * [backup-simplify]: Simplify (sqrt 1) into 1 8.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ 0 0) into 0 8.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.887 * [taylor]: Taking taylor expansion of re in re 8.887 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify 1 into 1 8.887 * [backup-simplify]: Simplify (/ 1 1) into 1 8.888 * [backup-simplify]: Simplify (- 1) into -1 8.888 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.891 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.892 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (- 0) into 0 8.894 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.894 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 8.894 * [backup-simplify]: Simplify (sqrt 0) into 0 8.895 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 8.895 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 8.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.895 * [taylor]: Taking taylor expansion of 2.0 in im 8.895 * [backup-simplify]: Simplify 2.0 into 2.0 8.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.899 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 8.900 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.900 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.900 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.900 * [taylor]: Taking taylor expansion of im in im 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (* 1 1) into 1 8.901 * [backup-simplify]: Simplify (/ 1 1) into 1 8.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.901 * [taylor]: Taking taylor expansion of re in im 8.901 * [backup-simplify]: Simplify re into re 8.901 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.901 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.901 * [backup-simplify]: Simplify (+ 1 0) into 1 8.902 * [backup-simplify]: Simplify (sqrt 1) into 1 8.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (+ 0 0) into 0 8.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.904 * [taylor]: Taking taylor expansion of re in im 8.904 * [backup-simplify]: Simplify re into re 8.904 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.904 * [backup-simplify]: Simplify (+ 1 0) into 1 8.905 * [backup-simplify]: Simplify (/ 1 1) into 1 8.905 * [backup-simplify]: Simplify (sqrt 0) into 0 8.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.906 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.906 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 8.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.906 * [taylor]: Taking taylor expansion of 2.0 in im 8.906 * [backup-simplify]: Simplify 2.0 into 2.0 8.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.907 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 8.908 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.908 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.908 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.908 * [taylor]: Taking taylor expansion of im in im 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (* 1 1) into 1 8.908 * [backup-simplify]: Simplify (/ 1 1) into 1 8.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.909 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.909 * [taylor]: Taking taylor expansion of re in im 8.909 * [backup-simplify]: Simplify re into re 8.909 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.909 * [backup-simplify]: Simplify (+ 1 0) into 1 8.910 * [backup-simplify]: Simplify (sqrt 1) into 1 8.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.912 * [taylor]: Taking taylor expansion of re in im 8.912 * [backup-simplify]: Simplify re into re 8.912 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.912 * [backup-simplify]: Simplify (+ 1 0) into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [backup-simplify]: Simplify (sqrt 0) into 0 8.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.915 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.915 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 8.915 * [taylor]: Taking taylor expansion of 0 in re 8.915 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 8.917 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.917 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 8.917 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 8.917 * [taylor]: Taking taylor expansion of +nan.0 in re 8.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.917 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.917 * [taylor]: Taking taylor expansion of 2.0 in re 8.917 * [backup-simplify]: Simplify 2.0 into 2.0 8.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.918 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.918 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 8.918 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 8.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 8.919 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 8.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.921 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 8.923 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 8.923 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 8.923 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 8.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 8.923 * [taylor]: Taking taylor expansion of +nan.0 in re 8.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.923 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 8.923 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.923 * [taylor]: Taking taylor expansion of 2.0 in re 8.923 * [backup-simplify]: Simplify 2.0 into 2.0 8.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.924 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.924 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.924 * [taylor]: Taking taylor expansion of re in re 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.925 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.925 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 8.925 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 8.925 * [taylor]: Taking taylor expansion of +nan.0 in re 8.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.925 * [taylor]: Taking taylor expansion of 2.0 in re 8.925 * [backup-simplify]: Simplify 2.0 into 2.0 8.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.926 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.926 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.927 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 8.927 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.928 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.928 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.929 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.929 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 8.930 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.930 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.930 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.933 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.934 * [backup-simplify]: Simplify (- 0) into 0 8.934 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.935 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 8.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.937 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 8.939 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 8.939 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 8.940 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 8.940 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 8.940 * [taylor]: Taking taylor expansion of +nan.0 in re 8.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.940 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 8.940 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.940 * [taylor]: Taking taylor expansion of 2.0 in re 8.940 * [backup-simplify]: Simplify 2.0 into 2.0 8.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.941 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.941 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.941 * [taylor]: Taking taylor expansion of re in re 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.942 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.942 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 8.942 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 8.942 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 8.942 * [taylor]: Taking taylor expansion of +nan.0 in re 8.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.942 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 8.942 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.942 * [taylor]: Taking taylor expansion of 2.0 in re 8.942 * [backup-simplify]: Simplify 2.0 into 2.0 8.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.943 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.943 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.943 * [taylor]: Taking taylor expansion of re in re 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.944 * [backup-simplify]: Simplify (* 1 1) into 1 8.945 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 8.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 8.945 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 8.945 * [taylor]: Taking taylor expansion of +nan.0 in re 8.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.945 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 8.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.945 * [taylor]: Taking taylor expansion of 2.0 in re 8.945 * [backup-simplify]: Simplify 2.0 into 2.0 8.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.946 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 8.946 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 8.947 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 8.947 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 8.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (- 0) into 0 8.951 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.951 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.952 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 8.954 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 8.954 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 8.955 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 8.955 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 8.955 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.955 * [taylor]: Taking taylor expansion of re in im 8.955 * [backup-simplify]: Simplify re into re 8.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.955 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.955 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.955 * [taylor]: Taking taylor expansion of re in im 8.955 * [backup-simplify]: Simplify re into re 8.955 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.955 * [taylor]: Taking taylor expansion of im in im 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.955 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.955 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.955 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.956 * [backup-simplify]: Simplify (+ 0 0) into 0 8.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.956 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.956 * [taylor]: Taking taylor expansion of re in re 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.956 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.956 * [taylor]: Taking taylor expansion of re in re 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.956 * [taylor]: Taking taylor expansion of im in re 8.956 * [backup-simplify]: Simplify im into im 8.956 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.957 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.957 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.957 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.957 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.957 * [taylor]: Taking taylor expansion of re in re 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 1 into 1 8.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.957 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.957 * [taylor]: Taking taylor expansion of re in re 8.957 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.958 * [taylor]: Taking taylor expansion of im in re 8.958 * [backup-simplify]: Simplify im into im 8.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.958 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.958 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.958 * [backup-simplify]: Simplify (+ 0 0) into 0 8.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.959 * [backup-simplify]: Simplify (+ 0 im) into im 8.959 * [taylor]: Taking taylor expansion of im in im 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (+ 1 0) into 1 8.959 * [taylor]: Taking taylor expansion of 1 in im 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (* 1 1) into 1 8.960 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.960 * [backup-simplify]: Simplify (+ 1 0) into 1 8.961 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.961 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 8.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.961 * [taylor]: Taking taylor expansion of 1/2 in im 8.961 * [backup-simplify]: Simplify 1/2 into 1/2 8.961 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.961 * [taylor]: Taking taylor expansion of im in im 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.962 * [backup-simplify]: Simplify (/ 1 1) into 1 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.964 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [taylor]: Taking taylor expansion of 0 in im 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.968 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 8.968 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 8.968 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.968 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.968 * [taylor]: Taking taylor expansion of re in im 8.968 * [backup-simplify]: Simplify re into re 8.968 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.968 * [taylor]: Taking taylor expansion of im in im 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (* 1 1) into 1 8.969 * [backup-simplify]: Simplify (/ 1 1) into 1 8.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.969 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.969 * [taylor]: Taking taylor expansion of re in im 8.969 * [backup-simplify]: Simplify re into re 8.969 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.969 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.969 * [backup-simplify]: Simplify (+ 1 0) into 1 8.970 * [backup-simplify]: Simplify (sqrt 1) into 1 8.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.972 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.972 * [taylor]: Taking taylor expansion of re in re 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (/ 1 1) into 1 8.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.972 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.972 * [taylor]: Taking taylor expansion of im in re 8.972 * [backup-simplify]: Simplify im into im 8.972 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.973 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.973 * [taylor]: Taking taylor expansion of re in re 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.973 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (/ 1 1) into 1 8.974 * [backup-simplify]: Simplify (+ 0 1) into 1 8.974 * [backup-simplify]: Simplify (sqrt 1) into 1 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.976 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.976 * [taylor]: Taking taylor expansion of re in re 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (/ 1 1) into 1 8.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.977 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.977 * [taylor]: Taking taylor expansion of im in re 8.977 * [backup-simplify]: Simplify im into im 8.977 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.977 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.977 * [taylor]: Taking taylor expansion of re in re 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.978 * [backup-simplify]: Simplify (* 1 1) into 1 8.978 * [backup-simplify]: Simplify (/ 1 1) into 1 8.978 * [backup-simplify]: Simplify (+ 0 1) into 1 8.979 * [backup-simplify]: Simplify (sqrt 1) into 1 8.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (+ 0 0) into 0 8.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.982 * [backup-simplify]: Simplify (+ 1 1) into 2 8.982 * [taylor]: Taking taylor expansion of 2 in im 8.982 * [backup-simplify]: Simplify 2 into 2 8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (+ 0 0) into 0 8.984 * [taylor]: Taking taylor expansion of 0 in im 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 2 into 2 8.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.989 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.990 * [taylor]: Taking taylor expansion of 1/2 in im 8.990 * [backup-simplify]: Simplify 1/2 into 1/2 8.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.990 * [taylor]: Taking taylor expansion of im in im 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (* 1 1) into 1 8.991 * [backup-simplify]: Simplify (/ 1 1) into 1 8.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.995 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [taylor]: Taking taylor expansion of 0 in im 9.001 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 9.005 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 9.005 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 9.005 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 9.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.006 * [taylor]: Taking taylor expansion of im in im 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* 1 1) into 1 9.007 * [backup-simplify]: Simplify (/ 1 1) into 1 9.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.007 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.007 * [taylor]: Taking taylor expansion of re in im 9.007 * [backup-simplify]: Simplify re into re 9.007 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.008 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.008 * [backup-simplify]: Simplify (+ 1 0) into 1 9.009 * [backup-simplify]: Simplify (sqrt 1) into 1 9.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.011 * [backup-simplify]: Simplify (+ 0 0) into 0 9.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.012 * [taylor]: Taking taylor expansion of re in im 9.012 * [backup-simplify]: Simplify re into re 9.012 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.012 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.012 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.012 * [taylor]: Taking taylor expansion of im in re 9.012 * [backup-simplify]: Simplify im into im 9.012 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.012 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.013 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.013 * [taylor]: Taking taylor expansion of re in re 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (* 1 1) into 1 9.014 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [backup-simplify]: Simplify (+ 0 1) into 1 9.016 * [backup-simplify]: Simplify (sqrt 1) into 1 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.023 * [taylor]: Taking taylor expansion of re in re 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.024 * [backup-simplify]: Simplify (/ 1 1) into 1 9.025 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.025 * [taylor]: Taking taylor expansion of im in re 9.025 * [backup-simplify]: Simplify im into im 9.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.025 * [taylor]: Taking taylor expansion of re in re 9.025 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (* 1 1) into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [backup-simplify]: Simplify (+ 0 1) into 1 9.031 * [backup-simplify]: Simplify (sqrt 1) into 1 9.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (+ 0 0) into 0 9.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.038 * [taylor]: Taking taylor expansion of re in re 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [backup-simplify]: Simplify (- 1) into -1 9.041 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.041 * [taylor]: Taking taylor expansion of 0 in im 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (- 0) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.043 * [taylor]: Taking taylor expansion of 0 in im 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.046 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.048 * [taylor]: Taking taylor expansion of 1/2 in im 9.048 * [backup-simplify]: Simplify 1/2 into 1/2 9.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.048 * [taylor]: Taking taylor expansion of im in im 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (* 1 1) into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (- 0) into 0 9.056 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [taylor]: Taking taylor expansion of 0 in im 9.056 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * * * [progress]: simplifying candidates 9.067 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (fabs im)) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) 1) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 1) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log (sqrt 2.0)) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (+ (log (sqrt 2.0)) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (fabs im)) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (fabs im)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (+ re im) (* 2 re) 0 9.076 * * [simplify]: Extracting # 0 : cost 0 9.076 * * [simplify]: Extracting # 1 : cost 0 9.076 * * [simplify]: Extracting # 2 : cost 0 9.077 * * [simplify]: Extracting # 3 : cost 0 9.077 * * [simplify]: Extracting # 4 : cost 0 9.078 * * [simplify]: Extracting # 5 : cost 0 9.078 * * [simplify]: Extracting # 6 : cost 0 9.079 * * [simplify]: Extracting # 7 : cost 0 9.079 * * [simplify]: Extracting # 8 : cost 0 9.080 * * [simplify]: Extracting # 9 : cost 0 9.081 * * [simplify]: Extracting # 10 : cost 0 9.081 * * [simplify]: Extracting # 11 : cost 0 9.082 * * [simplify]: Extracting # 12 : cost 0 9.082 * * [simplify]: Extracting # 13 : cost 0 9.083 * * [simplify]: Extracting # 14 : cost 0 9.084 * * [simplify]: Extracting # 15 : cost 0 9.084 * * [simplify]: iteration 0 : 248 enodes (cost 2920 ) 9.197 * * [simplify]: Extracting # 0 : cost 0 9.199 * * [simplify]: Extracting # 1 : cost 0 9.200 * * [simplify]: Extracting # 2 : cost 0 9.202 * * [simplify]: Extracting # 3 : cost 0 9.203 * * [simplify]: Extracting # 4 : cost 0 9.205 * * [simplify]: iteration 1 : 652 enodes (cost 2642 ) 9.960 * * [simplify]: Extracting # 0 : cost 0 9.971 * * [simplify]: Extracting # 1 : cost 0 9.981 * * [simplify]: Extracting # 2 : cost 0 9.991 * * [simplify]: Extracting # 3 : cost 0 10.001 * * [simplify]: Extracting # 4 : cost 0 10.010 * * [simplify]: iteration 2 : 4026 enodes (cost 2470 ) 12.692 * * [simplify]: Extracting # 0 : cost 0 12.705 * * [simplify]: Extracting # 1 : cost 0 12.718 * * [simplify]: Extracting # 2 : cost 0 12.730 * * [simplify]: Extracting # 3 : cost 0 12.748 * * [simplify]: iteration done: 5000 enodes (cost 2466 ) 12.750 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (fabs im)) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (/ (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im)))) (/ (cbrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (fabs im)) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt 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im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (fabs im) (fabs im) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (fabs im) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (fabs im) (sqrt (- (+ (* re re) (* 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(sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (/ (cbrt (fabs im)) (/ (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im)))) (sqrt 2.0)) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* 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(+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (* (/ (fabs im) (sqrt (- (+ (* re re) (* im im)) (* re re)))) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (fabs im)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (+ (* re re) (* im im)) (* re (- re (sqrt (+ (* re re) (* im im)))))) (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (- re) (- (- (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (* +nan.0 (- (* (fabs im) (* re (sqrt 1/2))) (* (fabs im) (sqrt 1/2)))))) (+ (* +nan.0 (- (/ (fabs im) (pow im 2)) (/ (fabs im) (pow im 3)))) (- (* +nan.0 (/ (fabs im) im)))) (+ (* +nan.0 (- (/ (* (fabs im) re) (pow im 2)) (/ (* (fabs im) re) (pow im 3)))) (- (* +nan.0 (/ (fabs im) im)))) (+ (* +nan.0 (- (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))))) (+ (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))) (+ (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))) (+ re im) (* 2 re) 0 12.752 * * * [progress]: adding candidates to table 13.738 * [progress]: [Phase 3 of 3] Extracting. 13.738 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 13.744 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 13.745 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 13.900 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 13.987 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 14.125 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 14.271 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 14.425 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # #) 14.577 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 14.760 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 14.930 * * * [regime]: Found split indices: #