0.848 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.185 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.197 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.198 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.204 * * [progress]: iteration 1 / 4 0.204 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.308 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.397 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.471 * * * [progress]: generating series expansions 0.471 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.480 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.480 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.481 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.481 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.481 * [taylor]: Taking taylor expansion of re in im 0.481 * [backup-simplify]: Simplify re into re 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.483 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.484 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.484 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.485 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.485 * [taylor]: Taking taylor expansion of im in re 0.485 * [backup-simplify]: Simplify im into im 0.485 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.486 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.487 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.487 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.489 * [taylor]: Taking taylor expansion of im in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.492 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.492 * [taylor]: Taking taylor expansion of 1/2 in im 0.492 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.498 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.498 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.500 * [taylor]: Taking taylor expansion of re in im 0.500 * [backup-simplify]: Simplify re into re 0.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.504 * [taylor]: Taking taylor expansion of im in re 0.504 * [backup-simplify]: Simplify im into im 0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.504 * [taylor]: Taking taylor expansion of re in re 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (+ 0 1) into 1 0.506 * [backup-simplify]: Simplify (sqrt 1) into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.509 * [taylor]: Taking taylor expansion of im in re 0.509 * [backup-simplify]: Simplify im into im 0.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (sqrt 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [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 1 in im 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of 0 in im 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.517 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.517 * [taylor]: Taking taylor expansion of 1/2 in im 0.517 * [backup-simplify]: Simplify 1/2 into 1/2 0.517 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.517 * [taylor]: Taking taylor expansion of im in im 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.523 * [taylor]: Taking taylor expansion of 0 in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.525 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.526 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.526 * [taylor]: Taking taylor expansion of re in im 0.526 * [backup-simplify]: Simplify re into re 0.526 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.527 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [backup-simplify]: Simplify im into im 0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ 0 1) into 1 0.531 * [backup-simplify]: Simplify (sqrt 1) into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [backup-simplify]: Simplify im into im 0.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (sqrt 1) into 1 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.538 * [taylor]: Taking taylor expansion of 1 in im 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.542 * [taylor]: Taking taylor expansion of 1/2 in im 0.542 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.548 * [taylor]: Taking taylor expansion of 0 in im 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.551 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.551 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.551 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.551 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.551 * [backup-simplify]: Simplify re into re 0.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.552 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.552 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.552 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.552 * [taylor]: Taking taylor expansion of re in im 0.553 * [backup-simplify]: Simplify re into re 0.553 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.553 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.553 * [taylor]: Taking taylor expansion of re in re 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [backup-simplify]: Simplify im into im 0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.553 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.553 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.553 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.554 * [taylor]: Taking taylor expansion of re in re 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.554 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.554 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.554 * [taylor]: Taking taylor expansion of re in re 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.554 * [taylor]: Taking taylor expansion of im in re 0.554 * [backup-simplify]: Simplify im into im 0.554 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.554 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.555 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (- 0) into 0 0.556 * [backup-simplify]: Simplify (+ im 0) into im 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (- 1) into -1 0.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.557 * [taylor]: Taking taylor expansion of -1 in im 0.557 * [backup-simplify]: Simplify -1 into -1 0.557 * [backup-simplify]: Simplify -1 into -1 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.560 * [taylor]: Taking taylor expansion of 1/2 in im 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.569 * [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)) 0.569 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.570 * [taylor]: Taking taylor expansion of re in im 0.570 * [backup-simplify]: Simplify re into re 0.570 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.575 * [taylor]: Taking taylor expansion of im in re 0.575 * [backup-simplify]: Simplify im into im 0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.575 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.575 * [taylor]: Taking taylor expansion of re in re 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [backup-simplify]: Simplify (+ 0 1) into 1 0.577 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.581 * [taylor]: Taking taylor expansion of im in re 0.581 * [backup-simplify]: Simplify im into im 0.582 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.582 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.582 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.582 * [taylor]: Taking taylor expansion of re in re 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [backup-simplify]: Simplify (+ 0 1) into 1 0.584 * [backup-simplify]: Simplify (sqrt 1) into 1 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (- 1) into -1 0.598 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in im 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in im 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.605 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.605 * [taylor]: Taking taylor expansion of 1/2 in im 0.605 * [backup-simplify]: Simplify 1/2 into 1/2 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [taylor]: Taking taylor expansion of 0 in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [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))))) 0.616 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.616 * [taylor]: Taking taylor expansion of re in im 0.616 * [backup-simplify]: Simplify re into re 0.616 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.617 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.617 * [taylor]: Taking taylor expansion of re in im 0.617 * [backup-simplify]: Simplify re into re 0.617 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.617 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.618 * [backup-simplify]: Simplify (+ 1 0) into 1 0.618 * [backup-simplify]: Simplify (sqrt 1) into 1 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [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 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.621 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [backup-simplify]: Simplify im into im 0.621 * [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 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [backup-simplify]: Simplify (+ 0 1) into 1 0.623 * [backup-simplify]: Simplify (sqrt 1) into 1 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [backup-simplify]: Simplify (+ 0 1) into 1 0.628 * [backup-simplify]: Simplify (sqrt 1) into 1 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.631 * [backup-simplify]: Simplify (+ 1 1) into 2 0.631 * [taylor]: Taking taylor expansion of 2 in im 0.631 * [backup-simplify]: Simplify 2 into 2 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 2 into 2 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.636 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.637 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.637 * [taylor]: Taking taylor expansion of 1/2 in im 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.647 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.648 * [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))) 0.648 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.648 * [taylor]: Taking taylor expansion of 2.0 in im 0.648 * [backup-simplify]: Simplify 2.0 into 2.0 0.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.649 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.649 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.649 * [taylor]: Taking taylor expansion of re in im 0.649 * [backup-simplify]: Simplify re into re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.649 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.649 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.649 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.649 * [taylor]: Taking taylor expansion of re in im 0.650 * [backup-simplify]: Simplify re into re 0.650 * [backup-simplify]: Simplify (- re) into (- re) 0.650 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.652 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.652 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 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 (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.653 * [taylor]: Taking taylor expansion of 2.0 in re 0.653 * [backup-simplify]: Simplify 2.0 into 2.0 0.654 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.654 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.654 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.654 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.654 * [taylor]: Taking taylor expansion of im in re 0.654 * [backup-simplify]: Simplify im into im 0.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.655 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.655 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.655 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ im 0) into im 0.655 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.656 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.656 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.656 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.656 * [taylor]: Taking taylor expansion of 2.0 in re 0.656 * [backup-simplify]: Simplify 2.0 into 2.0 0.656 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.657 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.657 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.657 * [taylor]: Taking taylor expansion of im in re 0.657 * [backup-simplify]: Simplify im into im 0.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.657 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.657 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.658 * [taylor]: Taking taylor expansion of re in re 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ im 0) into im 0.658 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.658 * [backup-simplify]: Simplify (- 1) into -1 0.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.658 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.659 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.659 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.659 * [taylor]: Taking taylor expansion of 2.0 in im 0.659 * [backup-simplify]: Simplify 2.0 into 2.0 0.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.660 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (sqrt 0) into 0 0.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.662 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.663 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.664 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.664 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.664 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.664 * [taylor]: Taking taylor expansion of 1/2 in im 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.664 * [taylor]: Taking taylor expansion of 2.0 in im 0.664 * [backup-simplify]: Simplify 2.0 into 2.0 0.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.665 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.665 * [taylor]: Taking taylor expansion of im in im 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (sqrt 0) into 0 0.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.673 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.673 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.677 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.678 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 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 0.682 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.683 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.686 * [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)))))))) 0.687 * [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)))) 0.687 * [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 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.687 * [taylor]: Taking taylor expansion of 2.0 in im 0.687 * [backup-simplify]: Simplify 2.0 into 2.0 0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.687 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.688 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [backup-simplify]: Simplify re into re 0.688 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.688 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.689 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [backup-simplify]: Simplify (sqrt 1) into 1 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.690 * [backup-simplify]: Simplify re into re 0.690 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.691 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (sqrt 0) into 0 0.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.692 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.692 * [taylor]: Taking taylor expansion of 2.0 in re 0.692 * [backup-simplify]: Simplify 2.0 into 2.0 0.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.692 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.692 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.693 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.693 * [taylor]: Taking taylor expansion of im in re 0.693 * [backup-simplify]: Simplify im into im 0.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.693 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.693 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (* 1 1) into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ 0 1) into 1 0.694 * [backup-simplify]: Simplify (sqrt 1) into 1 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (- 1) into -1 0.696 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.699 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.700 * [backup-simplify]: Simplify (sqrt 0) into 0 0.701 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.701 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.701 * [taylor]: Taking taylor expansion of 2.0 in re 0.701 * [backup-simplify]: Simplify 2.0 into 2.0 0.701 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.701 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [backup-simplify]: Simplify im into im 0.702 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.702 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (+ 0 1) into 1 0.703 * [backup-simplify]: Simplify (sqrt 1) into 1 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [backup-simplify]: Simplify (- 1) into -1 0.705 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.716 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.718 * [backup-simplify]: Simplify (sqrt 0) into 0 0.719 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.719 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.720 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.720 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.720 * [taylor]: Taking taylor expansion of +nan.0 in im 0.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.721 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.721 * [taylor]: Taking taylor expansion of 2.0 in im 0.721 * [backup-simplify]: Simplify 2.0 into 2.0 0.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.734 * [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)))) 0.734 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.734 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.734 * [taylor]: Taking taylor expansion of +nan.0 in im 0.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.734 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.734 * [taylor]: Taking taylor expansion of 2.0 in im 0.734 * [backup-simplify]: Simplify 2.0 into 2.0 0.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.735 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.764 * [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)))))) 0.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.767 * [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)))))) 0.767 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.767 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.767 * [taylor]: Taking taylor expansion of +nan.0 in im 0.767 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.767 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.767 * [taylor]: Taking taylor expansion of 2.0 in im 0.767 * [backup-simplify]: Simplify 2.0 into 2.0 0.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.768 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.768 * [taylor]: Taking taylor expansion of im in im 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.770 * [taylor]: Taking taylor expansion of +nan.0 in im 0.770 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.770 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.770 * [taylor]: Taking taylor expansion of 2.0 in im 0.770 * [backup-simplify]: Simplify 2.0 into 2.0 0.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.772 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [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))))))) 0.819 * [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 0.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [backup-simplify]: Simplify 2.0 into 2.0 0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [backup-simplify]: Simplify re into re 0.821 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.822 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.822 * [taylor]: Taking taylor expansion of re in im 0.822 * [backup-simplify]: Simplify re into re 0.822 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (sqrt 1) into 1 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 1) into 1 0.826 * [backup-simplify]: Simplify (sqrt 0) into 0 0.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.828 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.828 * [taylor]: Taking taylor expansion of 2.0 in re 0.828 * [backup-simplify]: Simplify 2.0 into 2.0 0.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.830 * [taylor]: Taking taylor expansion of re in re 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.830 * [taylor]: Taking taylor expansion of im in re 0.830 * [backup-simplify]: Simplify im into im 0.831 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [backup-simplify]: Simplify (+ 0 1) into 1 0.833 * [backup-simplify]: Simplify (sqrt 1) into 1 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.836 * [backup-simplify]: Simplify (+ 1 1) into 2 0.836 * [backup-simplify]: Simplify (sqrt 0) into 0 0.837 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.837 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.837 * [taylor]: Taking taylor expansion of 2.0 in re 0.837 * [backup-simplify]: Simplify 2.0 into 2.0 0.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.839 * [taylor]: Taking taylor expansion of re in re 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.839 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.839 * [taylor]: Taking taylor expansion of im in re 0.839 * [backup-simplify]: Simplify im into im 0.840 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.840 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.840 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (+ 0 1) into 1 0.842 * [backup-simplify]: Simplify (sqrt 1) into 1 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.845 * [backup-simplify]: Simplify (+ 1 1) into 2 0.845 * [backup-simplify]: Simplify (sqrt 0) into 0 0.846 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.847 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.847 * [taylor]: Taking taylor expansion of 0 in im 0.847 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.849 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.849 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.849 * [taylor]: Taking taylor expansion of +nan.0 in im 0.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.849 * [taylor]: Taking taylor expansion of 2.0 in im 0.849 * [backup-simplify]: Simplify 2.0 into 2.0 0.850 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.860 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.860 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.860 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.860 * [taylor]: Taking taylor expansion of +nan.0 in im 0.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.860 * [taylor]: Taking taylor expansion of 2.0 in im 0.860 * [backup-simplify]: Simplify 2.0 into 2.0 0.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.862 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.864 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.865 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.877 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.878 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.880 * [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)) 0.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.883 * [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))))) 0.883 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.883 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.883 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.883 * [taylor]: Taking taylor expansion of +nan.0 in im 0.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.883 * [taylor]: Taking taylor expansion of 2.0 in im 0.883 * [backup-simplify]: Simplify 2.0 into 2.0 0.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.884 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.886 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.886 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.886 * [taylor]: Taking taylor expansion of +nan.0 in im 0.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.886 * [taylor]: Taking taylor expansion of 2.0 in im 0.886 * [backup-simplify]: Simplify 2.0 into 2.0 0.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- 0) into 0 0.889 * [backup-simplify]: Simplify 0 into 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))) 0.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [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))) 0.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.903 * [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))))) 0.903 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.903 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.904 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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) (pow im 2)) in im 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 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.906 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.906 * [taylor]: Taking taylor expansion of +nan.0 in im 0.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.906 * [taylor]: Taking taylor expansion of 2.0 in im 0.907 * [backup-simplify]: Simplify 2.0 into 2.0 0.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.917 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.918 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.921 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.923 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.925 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.930 * [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))))))) 0.930 * * * [progress]: simplifying candidates 0.932 * [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)))) 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))))))) 0.932 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.995 * * * [progress]: adding candidates to table 1.222 * * [progress]: iteration 2 / 4 1.222 * * * [progress]: picking best candidate 1.249 * * * * [pick]: Picked # 1.249 * * * [progress]: localizing error 1.266 * * * [progress]: generating rewritten candidates 1.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 1.348 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 1.435 * * * [progress]: generating series expansions 1.435 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 1.435 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.435 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.436 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.436 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.436 * [taylor]: Taking taylor expansion of re in im 1.436 * [backup-simplify]: Simplify re into re 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.436 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.436 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.436 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.437 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.437 * [taylor]: Taking taylor expansion of re in re 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.437 * [taylor]: Taking taylor expansion of im in re 1.437 * [backup-simplify]: Simplify im into im 1.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.438 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.439 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.439 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.439 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.440 * [taylor]: Taking taylor expansion of im in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [taylor]: Taking taylor expansion of 0 in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.441 * [backup-simplify]: Simplify (+ 1 0) into 1 1.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.442 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.442 * [taylor]: Taking taylor expansion of 1/2 in im 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [taylor]: Taking taylor expansion of im in im 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.446 * [taylor]: Taking taylor expansion of 0 in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.447 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.447 * [taylor]: Taking taylor expansion of im in im 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.448 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [backup-simplify]: Simplify re into re 1.448 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.449 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.449 * [backup-simplify]: Simplify (+ 1 0) into 1 1.449 * [backup-simplify]: Simplify (sqrt 1) into 1 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.452 * [backup-simplify]: Simplify im into im 1.452 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (* 1 1) into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [backup-simplify]: Simplify (+ 0 1) into 1 1.454 * [backup-simplify]: Simplify (sqrt 1) into 1 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.456 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.456 * [taylor]: Taking taylor expansion of im in re 1.456 * [backup-simplify]: Simplify im into im 1.456 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.456 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.456 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* 1 1) into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [backup-simplify]: Simplify (+ 0 1) into 1 1.457 * [backup-simplify]: Simplify (sqrt 1) into 1 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.459 * [taylor]: Taking taylor expansion of 1 in im 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of 0 in im 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.461 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.461 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.461 * [taylor]: Taking taylor expansion of 1/2 in im 1.461 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (* 1 1) into 1 1.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.465 * [taylor]: Taking taylor expansion of 0 in im 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.466 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.466 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.467 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.467 * [taylor]: Taking taylor expansion of re in im 1.467 * [backup-simplify]: Simplify re into re 1.467 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.467 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.467 * [backup-simplify]: Simplify (+ 1 0) into 1 1.468 * [backup-simplify]: Simplify (sqrt 1) into 1 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.469 * [taylor]: Taking taylor expansion of im in re 1.469 * [backup-simplify]: Simplify im into im 1.469 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.469 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.469 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [backup-simplify]: Simplify (+ 0 1) into 1 1.470 * [backup-simplify]: Simplify (sqrt 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.472 * [taylor]: Taking taylor expansion of im in re 1.472 * [backup-simplify]: Simplify im into im 1.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.472 * [taylor]: Taking taylor expansion of re in re 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify (+ 0 1) into 1 1.473 * [backup-simplify]: Simplify (sqrt 1) into 1 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.475 * [taylor]: Taking taylor expansion of 1 in im 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [taylor]: Taking taylor expansion of 0 in im 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.477 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.477 * [taylor]: Taking taylor expansion of 1/2 in im 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.477 * [taylor]: Taking taylor expansion of im in im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.482 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.482 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.482 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.482 * [taylor]: Taking taylor expansion of re in im 1.482 * [backup-simplify]: Simplify re into re 1.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.482 * [taylor]: Taking taylor expansion of im in im 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.483 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.483 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.483 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.483 * [taylor]: Taking taylor expansion of im in re 1.483 * [backup-simplify]: Simplify im into im 1.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.483 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [backup-simplify]: Simplify im into im 1.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.484 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.484 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.485 * [taylor]: Taking taylor expansion of im in im 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of 0 in im 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (* 1 1) into 1 1.485 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.486 * [backup-simplify]: Simplify (+ 1 0) into 1 1.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.486 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.486 * [taylor]: Taking taylor expansion of 1/2 in im 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of im in im 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.489 * [taylor]: Taking taylor expansion of 0 in im 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.491 * [backup-simplify]: Simplify re into re 1.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.492 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (sqrt 1) into 1 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.495 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.495 * [taylor]: Taking taylor expansion of im in re 1.495 * [backup-simplify]: Simplify im into im 1.495 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.495 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.495 * [taylor]: Taking taylor expansion of re in re 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (* 1 1) into 1 1.496 * [backup-simplify]: Simplify (/ 1 1) into 1 1.496 * [backup-simplify]: Simplify (+ 0 1) into 1 1.497 * [backup-simplify]: Simplify (sqrt 1) into 1 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.499 * [taylor]: Taking taylor expansion of im in re 1.499 * [backup-simplify]: Simplify im into im 1.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [backup-simplify]: Simplify (+ 0 1) into 1 1.501 * [backup-simplify]: Simplify (sqrt 1) into 1 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.503 * [taylor]: Taking taylor expansion of 1 in im 1.503 * [backup-simplify]: Simplify 1 into 1 1.504 * [taylor]: Taking taylor expansion of 0 in im 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.507 * [taylor]: Taking taylor expansion of 1/2 in im 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.507 * [taylor]: Taking taylor expansion of im in im 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in im 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.514 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.515 * [taylor]: Taking taylor expansion of im in im 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.515 * [taylor]: Taking taylor expansion of re in im 1.515 * [backup-simplify]: Simplify re into re 1.516 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.516 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (sqrt 1) into 1 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [backup-simplify]: Simplify im into im 1.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.520 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (+ 0 1) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.522 * [taylor]: Taking taylor expansion of im in re 1.522 * [backup-simplify]: Simplify im into im 1.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.522 * [taylor]: Taking taylor expansion of re in re 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [backup-simplify]: Simplify (+ 0 1) into 1 1.523 * [backup-simplify]: Simplify (sqrt 1) into 1 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.525 * [taylor]: Taking taylor expansion of 1 in im 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [taylor]: Taking taylor expansion of 0 in im 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.527 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.527 * [taylor]: Taking taylor expansion of 1/2 in im 1.527 * [backup-simplify]: Simplify 1/2 into 1/2 1.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* 1 1) into 1 1.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.530 * [taylor]: Taking taylor expansion of 0 in im 1.530 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 1.532 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.532 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.532 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.532 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.532 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.532 * [taylor]: Taking taylor expansion of re in im 1.532 * [backup-simplify]: Simplify re into re 1.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.532 * [taylor]: Taking taylor expansion of im in im 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.532 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.532 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.532 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.533 * [taylor]: Taking taylor expansion of re in im 1.533 * [backup-simplify]: Simplify re into re 1.533 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.533 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.533 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [backup-simplify]: Simplify im into im 1.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.533 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.533 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.533 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.534 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [backup-simplify]: Simplify im into im 1.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.534 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.534 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.534 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ im 0) into im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (- 1) into -1 1.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.535 * [taylor]: Taking taylor expansion of -1 in im 1.535 * [backup-simplify]: Simplify -1 into -1 1.535 * [backup-simplify]: Simplify -1 into -1 1.535 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.536 * [backup-simplify]: Simplify (+ 1 0) into 1 1.537 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.537 * [taylor]: Taking taylor expansion of 1/2 in im 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.537 * [taylor]: Taking taylor expansion of im in im 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in im 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.548 * [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)) 1.548 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.548 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.548 * [taylor]: Taking taylor expansion of im in im 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.549 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.549 * [taylor]: Taking taylor expansion of re in im 1.549 * [backup-simplify]: Simplify re into re 1.549 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.550 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.550 * [backup-simplify]: Simplify (+ 1 0) into 1 1.550 * [backup-simplify]: Simplify (sqrt 1) into 1 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.553 * [taylor]: Taking taylor expansion of re in im 1.553 * [backup-simplify]: Simplify re into re 1.553 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.553 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.553 * [backup-simplify]: Simplify im into im 1.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.554 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.554 * [taylor]: Taking taylor expansion of re in re 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (+ 0 1) into 1 1.555 * [backup-simplify]: Simplify (sqrt 1) into 1 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.559 * [backup-simplify]: Simplify im into im 1.559 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.559 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.559 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.560 * [backup-simplify]: Simplify (+ 0 1) into 1 1.561 * [backup-simplify]: Simplify (sqrt 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (- 1) into -1 1.564 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.572 * [taylor]: Taking taylor expansion of 1/2 in im 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.572 * [taylor]: Taking taylor expansion of im in im 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [taylor]: Taking taylor expansion of 0 in im 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [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))))) 1.582 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.582 * [taylor]: Taking taylor expansion of re in im 1.582 * [backup-simplify]: Simplify re into re 1.582 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.582 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.582 * [taylor]: Taking taylor expansion of im in im 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (* 1 1) into 1 1.582 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.582 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.582 * [taylor]: Taking taylor expansion of re in im 1.582 * [backup-simplify]: Simplify re into re 1.583 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.583 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.583 * [backup-simplify]: Simplify (+ 1 0) into 1 1.583 * [backup-simplify]: Simplify (sqrt 1) into 1 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.585 * [taylor]: Taking taylor expansion of re in re 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.585 * [taylor]: Taking taylor expansion of im in re 1.585 * [backup-simplify]: Simplify im into im 1.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.585 * [taylor]: Taking taylor expansion of re in re 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.586 * [backup-simplify]: Simplify (* 1 1) into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [backup-simplify]: Simplify (+ 0 1) into 1 1.586 * [backup-simplify]: Simplify (sqrt 1) into 1 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.588 * [backup-simplify]: Simplify im into im 1.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.589 * [taylor]: Taking taylor expansion of re in re 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.591 * [backup-simplify]: Simplify (+ 1 1) into 2 1.591 * [taylor]: Taking taylor expansion of 2 in im 1.591 * [backup-simplify]: Simplify 2 into 2 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [taylor]: Taking taylor expansion of 0 in im 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 2 into 2 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.595 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.595 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.595 * [taylor]: Taking taylor expansion of 1/2 in im 1.595 * [backup-simplify]: Simplify 1/2 into 1/2 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [taylor]: Taking taylor expansion of 0 in im 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.601 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.601 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.601 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.601 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.601 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.601 * [taylor]: Taking taylor expansion of re in im 1.601 * [backup-simplify]: Simplify re into re 1.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.601 * [taylor]: Taking taylor expansion of im in im 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.602 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.602 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.602 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.602 * [taylor]: Taking taylor expansion of re in im 1.602 * [backup-simplify]: Simplify re into re 1.602 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.602 * [taylor]: Taking taylor expansion of re in re 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.602 * [taylor]: Taking taylor expansion of im in re 1.602 * [backup-simplify]: Simplify im into im 1.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.603 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.603 * [taylor]: Taking taylor expansion of im in re 1.603 * [backup-simplify]: Simplify im into im 1.603 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.603 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.603 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.604 * [taylor]: Taking taylor expansion of re in re 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ im 0) into im 1.604 * [taylor]: Taking taylor expansion of im in im 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (- 1) into -1 1.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.605 * [taylor]: Taking taylor expansion of -1 in im 1.605 * [backup-simplify]: Simplify -1 into -1 1.605 * [backup-simplify]: Simplify -1 into -1 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1 1) into 1 1.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.606 * [backup-simplify]: Simplify (+ 1 0) into 1 1.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.606 * [taylor]: Taking taylor expansion of 1/2 in im 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.606 * [taylor]: Taking taylor expansion of im in im 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in im 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.614 * [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)) 1.614 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.614 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.614 * [taylor]: Taking taylor expansion of im in im 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.615 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.615 * [taylor]: Taking taylor expansion of re in im 1.615 * [backup-simplify]: Simplify re into re 1.615 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.616 * [backup-simplify]: Simplify (+ 1 0) into 1 1.616 * [backup-simplify]: Simplify (sqrt 1) into 1 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.619 * [taylor]: Taking taylor expansion of re in im 1.619 * [backup-simplify]: Simplify re into re 1.619 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.619 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.619 * [backup-simplify]: Simplify im into im 1.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.619 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.620 * [backup-simplify]: Simplify (+ 0 1) into 1 1.621 * [backup-simplify]: Simplify (sqrt 1) into 1 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [backup-simplify]: Simplify im into im 1.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [backup-simplify]: Simplify (+ 0 1) into 1 1.626 * [backup-simplify]: Simplify (sqrt 1) into 1 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.629 * [taylor]: Taking taylor expansion of re in re 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.630 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.630 * [taylor]: Taking taylor expansion of 0 in im 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [taylor]: Taking taylor expansion of 0 in im 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.635 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.637 * [taylor]: Taking taylor expansion of 1/2 in im 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [taylor]: Taking taylor expansion of 0 in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [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))))) 1.649 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.649 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.649 * [taylor]: Taking taylor expansion of re in im 1.649 * [backup-simplify]: Simplify re into re 1.649 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.649 * [taylor]: Taking taylor expansion of im in im 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (* 1 1) into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.650 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.650 * [backup-simplify]: Simplify re into re 1.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.651 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.651 * [backup-simplify]: Simplify (+ 1 0) into 1 1.651 * [backup-simplify]: Simplify (sqrt 1) into 1 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.655 * [backup-simplify]: Simplify im into im 1.655 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.655 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.655 * [taylor]: Taking taylor expansion of re in re 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.656 * [backup-simplify]: Simplify (+ 0 1) into 1 1.657 * [backup-simplify]: Simplify (sqrt 1) into 1 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.659 * [taylor]: Taking taylor expansion of re in re 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.660 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.660 * [taylor]: Taking taylor expansion of im in re 1.660 * [backup-simplify]: Simplify im into im 1.660 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.660 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.660 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.660 * [taylor]: Taking taylor expansion of re in re 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* 1 1) into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (+ 0 1) into 1 1.662 * [backup-simplify]: Simplify (sqrt 1) into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.665 * [backup-simplify]: Simplify (+ 1 1) into 2 1.665 * [taylor]: Taking taylor expansion of 2 in im 1.665 * [backup-simplify]: Simplify 2 into 2 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in im 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 2 into 2 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.671 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.671 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.671 * [taylor]: Taking taylor expansion of 1/2 in im 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.671 * [taylor]: Taking taylor expansion of im in im 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in im 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.690 * * * [progress]: simplifying candidates 1.692 * [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)))) (/ (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) (/ (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) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 1.693 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- h0 h1) 0 (* -2 h1) 1.788 * * * [progress]: adding candidates to table 2.190 * * [progress]: iteration 3 / 4 2.190 * * * [progress]: picking best candidate 2.225 * * * * [pick]: Picked # 2.225 * * * [progress]: localizing error 2.243 * * * [progress]: generating rewritten candidates 2.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.260 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.390 * * * [progress]: generating series expansions 2.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.390 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.390 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.390 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.390 * [taylor]: Taking taylor expansion of re in im 2.390 * [backup-simplify]: Simplify re into re 2.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.390 * [taylor]: Taking taylor expansion of im in im 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.390 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.391 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.391 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.391 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.391 * [taylor]: Taking taylor expansion of re in re 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.391 * [taylor]: Taking taylor expansion of im in re 2.391 * [backup-simplify]: Simplify im into im 2.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.392 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.392 * [taylor]: Taking taylor expansion of re in re 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.392 * [taylor]: Taking taylor expansion of im in re 2.392 * [backup-simplify]: Simplify im into im 2.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.392 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.393 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.393 * [taylor]: Taking taylor expansion of im in im 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [taylor]: Taking taylor expansion of 0 in im 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (* 1 1) into 1 2.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.394 * [backup-simplify]: Simplify (+ 1 0) into 1 2.394 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.394 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.394 * [taylor]: Taking taylor expansion of 1/2 in im 2.394 * [backup-simplify]: Simplify 1/2 into 1/2 2.394 * [taylor]: Taking taylor expansion of im in im 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.397 * [taylor]: Taking taylor expansion of 0 in im 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.398 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.398 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.398 * [taylor]: Taking taylor expansion of im in im 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.398 * [taylor]: Taking taylor expansion of re in im 2.398 * [backup-simplify]: Simplify re into re 2.398 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.399 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (sqrt 1) into 1 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.401 * [taylor]: Taking taylor expansion of im in re 2.401 * [backup-simplify]: Simplify im into im 2.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.401 * [taylor]: Taking taylor expansion of re in re 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (* 1 1) into 1 2.401 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [backup-simplify]: Simplify (+ 0 1) into 1 2.402 * [backup-simplify]: Simplify (sqrt 1) into 1 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.403 * [taylor]: Taking taylor expansion of im in re 2.403 * [backup-simplify]: Simplify im into im 2.403 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.404 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.404 * [taylor]: Taking taylor expansion of re in re 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (* 1 1) into 1 2.404 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [backup-simplify]: Simplify (+ 0 1) into 1 2.405 * [backup-simplify]: Simplify (sqrt 1) into 1 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ 0 0) into 0 2.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.406 * [taylor]: Taking taylor expansion of 1 in im 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [taylor]: Taking taylor expansion of 0 in im 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.409 * [taylor]: Taking taylor expansion of 1/2 in im 2.409 * [backup-simplify]: Simplify 1/2 into 1/2 2.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.409 * [taylor]: Taking taylor expansion of im in im 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (* 1 1) into 1 2.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.413 * [taylor]: Taking taylor expansion of 0 in im 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.414 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.414 * [taylor]: Taking taylor expansion of im in im 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (/ 1 1) into 1 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.415 * [taylor]: Taking taylor expansion of re in im 2.415 * [backup-simplify]: Simplify re into re 2.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.415 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.415 * [backup-simplify]: Simplify (+ 1 0) into 1 2.416 * [backup-simplify]: Simplify (sqrt 1) into 1 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.418 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.418 * [taylor]: Taking taylor expansion of im in re 2.418 * [backup-simplify]: Simplify im into im 2.418 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.419 * [taylor]: Taking taylor expansion of re in re 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (* 1 1) into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [backup-simplify]: Simplify (+ 0 1) into 1 2.420 * [backup-simplify]: Simplify (sqrt 1) into 1 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.423 * [taylor]: Taking taylor expansion of im in re 2.423 * [backup-simplify]: Simplify im into im 2.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.423 * [taylor]: Taking taylor expansion of re in re 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [backup-simplify]: Simplify (+ 0 1) into 1 2.425 * [backup-simplify]: Simplify (sqrt 1) into 1 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.427 * [taylor]: Taking taylor expansion of 1 in im 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [taylor]: Taking taylor expansion of 0 in im 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.429 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.429 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.429 * [taylor]: Taking taylor expansion of 1/2 in im 2.429 * [backup-simplify]: Simplify 1/2 into 1/2 2.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.429 * [taylor]: Taking taylor expansion of im in im 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (* 1 1) into 1 2.430 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.433 * [taylor]: Taking taylor expansion of 0 in im 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.434 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.434 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.434 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.434 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.434 * [taylor]: Taking taylor expansion of re in im 2.434 * [backup-simplify]: Simplify re into re 2.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.434 * [taylor]: Taking taylor expansion of im in im 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.434 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.435 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.435 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.435 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.435 * [taylor]: Taking taylor expansion of re in re 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.435 * [taylor]: Taking taylor expansion of im in re 2.435 * [backup-simplify]: Simplify im into im 2.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.435 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.435 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.436 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.436 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.436 * [taylor]: Taking taylor expansion of im in re 2.436 * [backup-simplify]: Simplify im into im 2.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.436 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.436 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.437 * [taylor]: Taking taylor expansion of im in im 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [taylor]: Taking taylor expansion of 0 in im 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.438 * [backup-simplify]: Simplify (+ 1 0) into 1 2.438 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.438 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.438 * [taylor]: Taking taylor expansion of 1/2 in im 2.438 * [backup-simplify]: Simplify 1/2 into 1/2 2.438 * [taylor]: Taking taylor expansion of im in im 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.440 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.440 * [taylor]: Taking taylor expansion of 0 in im 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.441 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.441 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.441 * [taylor]: Taking taylor expansion of im in im 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.442 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.442 * [taylor]: Taking taylor expansion of re in im 2.442 * [backup-simplify]: Simplify re into re 2.442 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.442 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.442 * [backup-simplify]: Simplify (+ 1 0) into 1 2.443 * [backup-simplify]: Simplify (sqrt 1) into 1 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.444 * [taylor]: Taking taylor expansion of im in re 2.444 * [backup-simplify]: Simplify im into im 2.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.444 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.444 * [taylor]: Taking taylor expansion of re in re 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [backup-simplify]: Simplify (+ 0 1) into 1 2.445 * [backup-simplify]: Simplify (sqrt 1) into 1 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.447 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.447 * [taylor]: Taking taylor expansion of im in re 2.447 * [backup-simplify]: Simplify im into im 2.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.447 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.447 * [taylor]: Taking taylor expansion of re in re 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (* 1 1) into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [backup-simplify]: Simplify (+ 0 1) into 1 2.448 * [backup-simplify]: Simplify (sqrt 1) into 1 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.450 * [taylor]: Taking taylor expansion of 1 in im 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [taylor]: Taking taylor expansion of 0 in im 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.452 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.452 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.452 * [taylor]: Taking taylor expansion of 1/2 in im 2.452 * [backup-simplify]: Simplify 1/2 into 1/2 2.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.452 * [taylor]: Taking taylor expansion of im in im 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.455 * [taylor]: Taking taylor expansion of 0 in im 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.457 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.457 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.457 * [taylor]: Taking taylor expansion of im in im 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (* 1 1) into 1 2.458 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.458 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.458 * [taylor]: Taking taylor expansion of re in im 2.458 * [backup-simplify]: Simplify re into re 2.458 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.458 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.458 * [backup-simplify]: Simplify (+ 1 0) into 1 2.458 * [backup-simplify]: Simplify (sqrt 1) into 1 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.461 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.461 * [taylor]: Taking taylor expansion of im in re 2.461 * [backup-simplify]: Simplify im into im 2.461 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.461 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.461 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.461 * [taylor]: Taking taylor expansion of re in re 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [backup-simplify]: Simplify (+ 0 1) into 1 2.463 * [backup-simplify]: Simplify (sqrt 1) into 1 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.465 * [taylor]: Taking taylor expansion of im in re 2.465 * [backup-simplify]: Simplify im into im 2.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.466 * [taylor]: Taking taylor expansion of re in re 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.467 * [backup-simplify]: Simplify (+ 0 1) into 1 2.467 * [backup-simplify]: Simplify (sqrt 1) into 1 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (+ 0 0) into 0 2.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.470 * [taylor]: Taking taylor expansion of 1 in im 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [taylor]: Taking taylor expansion of 0 in im 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.473 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.473 * [taylor]: Taking taylor expansion of 1/2 in im 2.473 * [backup-simplify]: Simplify 1/2 into 1/2 2.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.473 * [taylor]: Taking taylor expansion of im in im 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.474 * [backup-simplify]: Simplify (* 1 1) into 1 2.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.479 * [taylor]: Taking taylor expansion of 0 in im 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.481 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.481 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.481 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.481 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.481 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.481 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.481 * [taylor]: Taking taylor expansion of re in im 2.481 * [backup-simplify]: Simplify re into re 2.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.481 * [taylor]: Taking taylor expansion of im in im 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.481 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.481 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.481 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.482 * [taylor]: Taking taylor expansion of re in im 2.482 * [backup-simplify]: Simplify re into re 2.482 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.482 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.482 * [taylor]: Taking taylor expansion of re in re 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.482 * [taylor]: Taking taylor expansion of im in re 2.482 * [backup-simplify]: Simplify im into im 2.482 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.482 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.482 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.483 * [taylor]: Taking taylor expansion of re in re 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.483 * [taylor]: Taking taylor expansion of re in re 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.483 * [taylor]: Taking taylor expansion of im in re 2.483 * [backup-simplify]: Simplify im into im 2.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.483 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.483 * [taylor]: Taking taylor expansion of re in re 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.484 * [backup-simplify]: Simplify (+ im 0) into im 2.484 * [taylor]: Taking taylor expansion of im in im 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (- 1) into -1 2.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.489 * [taylor]: Taking taylor expansion of -1 in im 2.490 * [backup-simplify]: Simplify -1 into -1 2.490 * [backup-simplify]: Simplify -1 into -1 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.491 * [backup-simplify]: Simplify (+ 1 0) into 1 2.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.491 * [taylor]: Taking taylor expansion of 1/2 in im 2.491 * [backup-simplify]: Simplify 1/2 into 1/2 2.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.492 * [taylor]: Taking taylor expansion of im in im 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [backup-simplify]: Simplify (/ 1 1) into 1 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.494 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [taylor]: Taking taylor expansion of 0 in im 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.496 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.496 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.496 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.496 * [taylor]: Taking taylor expansion of im in im 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (* 1 1) into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.497 * [taylor]: Taking taylor expansion of re in im 2.497 * [backup-simplify]: Simplify re into re 2.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.497 * [backup-simplify]: Simplify (+ 1 0) into 1 2.498 * [backup-simplify]: Simplify (sqrt 1) into 1 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.499 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.499 * [taylor]: Taking taylor expansion of re in im 2.499 * [backup-simplify]: Simplify re into re 2.499 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.499 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.499 * [taylor]: Taking taylor expansion of im in re 2.499 * [backup-simplify]: Simplify im into im 2.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.499 * [taylor]: Taking taylor expansion of re in re 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [backup-simplify]: Simplify (+ 0 1) into 1 2.500 * [backup-simplify]: Simplify (sqrt 1) into 1 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.502 * [taylor]: Taking taylor expansion of re in re 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (/ 1 1) into 1 2.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.502 * [taylor]: Taking taylor expansion of im in re 2.502 * [backup-simplify]: Simplify im into im 2.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.503 * [taylor]: Taking taylor expansion of re in re 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (* 1 1) into 1 2.503 * [backup-simplify]: Simplify (/ 1 1) into 1 2.503 * [backup-simplify]: Simplify (+ 0 1) into 1 2.504 * [backup-simplify]: Simplify (sqrt 1) into 1 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.505 * [taylor]: Taking taylor expansion of re in re 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.506 * [backup-simplify]: Simplify (- 1) into -1 2.506 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.506 * [taylor]: Taking taylor expansion of 0 in im 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- 0) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [taylor]: Taking taylor expansion of 0 in im 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.510 * [taylor]: Taking taylor expansion of 1/2 in im 2.510 * [backup-simplify]: Simplify 1/2 into 1/2 2.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.510 * [taylor]: Taking taylor expansion of im in im 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in im 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.521 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.521 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.521 * [taylor]: Taking taylor expansion of re in im 2.521 * [backup-simplify]: Simplify re into re 2.521 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.522 * [taylor]: Taking taylor expansion of im in im 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (* 1 1) into 1 2.523 * [backup-simplify]: Simplify (/ 1 1) into 1 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [backup-simplify]: Simplify re into re 2.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.523 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.523 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (sqrt 1) into 1 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.526 * [taylor]: Taking taylor expansion of re in re 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ 1 1) into 1 2.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.527 * [taylor]: Taking taylor expansion of im in re 2.527 * [backup-simplify]: Simplify im into im 2.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.527 * [taylor]: Taking taylor expansion of re in re 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [backup-simplify]: Simplify (+ 0 1) into 1 2.529 * [backup-simplify]: Simplify (sqrt 1) into 1 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.531 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.531 * [taylor]: Taking taylor expansion of re in re 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (/ 1 1) into 1 2.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.532 * [taylor]: Taking taylor expansion of im in re 2.532 * [backup-simplify]: Simplify im into im 2.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.532 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.533 * [backup-simplify]: Simplify (/ 1 1) into 1 2.534 * [backup-simplify]: Simplify (+ 0 1) into 1 2.534 * [backup-simplify]: Simplify (sqrt 1) into 1 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.537 * [backup-simplify]: Simplify (+ 1 1) into 2 2.537 * [taylor]: Taking taylor expansion of 2 in im 2.537 * [backup-simplify]: Simplify 2 into 2 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in im 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 2 into 2 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.543 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.543 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.543 * [taylor]: Taking taylor expansion of 1/2 in im 2.543 * [backup-simplify]: Simplify 1/2 into 1/2 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.544 * [taylor]: Taking taylor expansion of im in im 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.544 * [backup-simplify]: Simplify (/ 1 1) into 1 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.551 * [taylor]: Taking taylor expansion of 0 in im 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.553 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.554 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 2.554 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.554 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.554 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.554 * [taylor]: Taking taylor expansion of re in im 2.554 * [backup-simplify]: Simplify re into re 2.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.554 * [taylor]: Taking taylor expansion of im in im 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.554 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.554 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.554 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.555 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.555 * [taylor]: Taking taylor expansion of re in re 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.555 * [taylor]: Taking taylor expansion of im in re 2.555 * [backup-simplify]: Simplify im into im 2.555 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.555 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.555 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.556 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.556 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.556 * [taylor]: Taking taylor expansion of re in re 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.556 * [taylor]: Taking taylor expansion of im in re 2.556 * [backup-simplify]: Simplify im into im 2.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.556 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.556 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.556 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.556 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.556 * [taylor]: Taking taylor expansion of im in im 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [taylor]: Taking taylor expansion of 0 in im 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.557 * [backup-simplify]: Simplify (+ 1 0) into 1 2.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.558 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.558 * [taylor]: Taking taylor expansion of 1/2 in im 2.558 * [backup-simplify]: Simplify 1/2 into 1/2 2.558 * [taylor]: Taking taylor expansion of im in im 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.560 * [taylor]: Taking taylor expansion of 0 in im 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.561 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.561 * [taylor]: Taking taylor expansion of im in im 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.562 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.562 * [taylor]: Taking taylor expansion of re in im 2.562 * [backup-simplify]: Simplify re into re 2.562 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.562 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.562 * [backup-simplify]: Simplify (+ 1 0) into 1 2.563 * [backup-simplify]: Simplify (sqrt 1) into 1 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.564 * [taylor]: Taking taylor expansion of im in re 2.564 * [backup-simplify]: Simplify im into im 2.564 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.565 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.565 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.565 * [taylor]: Taking taylor expansion of re in re 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (* 1 1) into 1 2.565 * [backup-simplify]: Simplify (/ 1 1) into 1 2.565 * [backup-simplify]: Simplify (+ 0 1) into 1 2.566 * [backup-simplify]: Simplify (sqrt 1) into 1 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.567 * [taylor]: Taking taylor expansion of im in re 2.567 * [backup-simplify]: Simplify im into im 2.567 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.567 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.567 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.567 * [taylor]: Taking taylor expansion of re in re 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (* 1 1) into 1 2.568 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [backup-simplify]: Simplify (+ 0 1) into 1 2.568 * [backup-simplify]: Simplify (sqrt 1) into 1 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.570 * [taylor]: Taking taylor expansion of 1 in im 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of 0 in im 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.572 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.572 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.572 * [taylor]: Taking taylor expansion of 1/2 in im 2.572 * [backup-simplify]: Simplify 1/2 into 1/2 2.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.572 * [taylor]: Taking taylor expansion of im in im 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (* 1 1) into 1 2.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.575 * [taylor]: Taking taylor expansion of 0 in im 2.575 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.577 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.577 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.577 * [taylor]: Taking taylor expansion of im in im 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.578 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.578 * [taylor]: Taking taylor expansion of re in im 2.578 * [backup-simplify]: Simplify re into re 2.578 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.578 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.578 * [backup-simplify]: Simplify (+ 1 0) into 1 2.578 * [backup-simplify]: Simplify (sqrt 1) into 1 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.580 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.580 * [taylor]: Taking taylor expansion of im in re 2.580 * [backup-simplify]: Simplify im into im 2.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.580 * [taylor]: Taking taylor expansion of re in re 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (* 1 1) into 1 2.581 * [backup-simplify]: Simplify (/ 1 1) into 1 2.581 * [backup-simplify]: Simplify (+ 0 1) into 1 2.581 * [backup-simplify]: Simplify (sqrt 1) into 1 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.583 * [taylor]: Taking taylor expansion of im in re 2.583 * [backup-simplify]: Simplify im into im 2.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.583 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.583 * [taylor]: Taking taylor expansion of re in re 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (* 1 1) into 1 2.583 * [backup-simplify]: Simplify (/ 1 1) into 1 2.584 * [backup-simplify]: Simplify (+ 0 1) into 1 2.584 * [backup-simplify]: Simplify (sqrt 1) into 1 2.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.585 * [taylor]: Taking taylor expansion of 1 in im 2.585 * [backup-simplify]: Simplify 1 into 1 2.586 * [taylor]: Taking taylor expansion of 0 in im 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.588 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.588 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.588 * [taylor]: Taking taylor expansion of 1/2 in im 2.588 * [backup-simplify]: Simplify 1/2 into 1/2 2.588 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.588 * [taylor]: Taking taylor expansion of im in im 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (* 1 1) into 1 2.588 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.591 * [taylor]: Taking taylor expansion of 0 in im 2.591 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.593 * * * [progress]: simplifying candidates 2.600 * [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)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im 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h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* 1 1) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) h0 h1 (* -1 h1) 2.720 * * * [progress]: adding candidates to table 3.203 * * [progress]: iteration 4 / 4 3.203 * * * [progress]: picking best candidate 3.244 * * * * [pick]: Picked # 3.244 * * * [progress]: localizing error 3.291 * * * [progress]: generating rewritten candidates 3.291 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 3.300 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2) 3.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 3.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 3.327 * * * [progress]: generating series expansions 3.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 3.327 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 3.327 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 3.327 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 3.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 3.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 3.327 * [taylor]: Taking taylor expansion of 1/3 in im 3.327 * [backup-simplify]: Simplify 1/3 into 1/3 3.327 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 3.327 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.327 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.327 * [taylor]: Taking taylor expansion of re in im 3.327 * [backup-simplify]: Simplify re into re 3.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.327 * [taylor]: Taking taylor expansion of im in im 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.327 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.328 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 3.328 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 3.328 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 3.328 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.328 * [taylor]: Taking taylor expansion of 1/3 in re 3.328 * [backup-simplify]: Simplify 1/3 into 1/3 3.328 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.328 * [taylor]: Taking taylor expansion of re in re 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.328 * [taylor]: Taking taylor expansion of im in re 3.328 * [backup-simplify]: Simplify im into im 3.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.328 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.328 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.329 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.329 * [taylor]: Taking taylor expansion of 1/3 in re 3.329 * [backup-simplify]: Simplify 1/3 into 1/3 3.329 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.329 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.329 * [taylor]: Taking taylor expansion of re in re 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.329 * [taylor]: Taking taylor expansion of im in re 3.329 * [backup-simplify]: Simplify im into im 3.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.329 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.329 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.329 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.329 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 3.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 3.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 3.329 * [taylor]: Taking taylor expansion of 1/3 in im 3.329 * [backup-simplify]: Simplify 1/3 into 1/3 3.329 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.329 * [taylor]: Taking taylor expansion of im in im 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (log 1) into 0 3.331 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.331 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 3.331 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 3.331 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 3.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 3.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.333 * [taylor]: Taking taylor expansion of 0 in im 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.335 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 3.336 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.345 * [backup-simplify]: Simplify (+ 1 0) into 1 3.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 3.348 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 3.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.348 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 3.349 * [taylor]: Taking taylor expansion of 1/3 in im 3.349 * [backup-simplify]: Simplify 1/3 into 1/3 3.349 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 3.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 3.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 3.349 * [taylor]: Taking taylor expansion of 1/3 in im 3.349 * [backup-simplify]: Simplify 1/3 into 1/3 3.349 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.349 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.349 * [taylor]: Taking taylor expansion of im in im 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (* 1 1) into 1 3.349 * [backup-simplify]: Simplify (* 1 1) into 1 3.349 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [backup-simplify]: Simplify (log 1) into 0 3.350 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.350 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 3.350 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 3.350 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.351 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.354 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.355 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 3.355 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 3.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.361 * [taylor]: Taking taylor expansion of 0 in im 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.363 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 3.364 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.369 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.369 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 3.370 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 3.371 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.371 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.371 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.371 * [taylor]: Taking taylor expansion of 1/3 in im 3.371 * [backup-simplify]: Simplify 1/3 into 1/3 3.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.371 * [taylor]: Taking taylor expansion of im in im 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.372 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.372 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.372 * [taylor]: Taking taylor expansion of re in im 3.372 * [backup-simplify]: Simplify re into re 3.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.372 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.372 * [backup-simplify]: Simplify (+ 1 0) into 1 3.373 * [backup-simplify]: Simplify (log 1) into 0 3.373 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.373 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.373 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.373 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.373 * [taylor]: Taking taylor expansion of 1/3 in re 3.373 * [backup-simplify]: Simplify 1/3 into 1/3 3.373 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.373 * [taylor]: Taking taylor expansion of im in re 3.373 * [backup-simplify]: Simplify im into im 3.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.373 * [taylor]: Taking taylor expansion of re in re 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (* 1 1) into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify (+ 0 1) into 1 3.374 * [backup-simplify]: Simplify (log 1) into 0 3.375 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.375 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.375 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.375 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.375 * [taylor]: Taking taylor expansion of 1/3 in re 3.375 * [backup-simplify]: Simplify 1/3 into 1/3 3.375 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.375 * [backup-simplify]: Simplify im into im 3.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.375 * [taylor]: Taking taylor expansion of re in re 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [backup-simplify]: Simplify (+ 0 1) into 1 3.376 * [backup-simplify]: Simplify (log 1) into 0 3.377 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.377 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.377 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.377 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.377 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.377 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.377 * [taylor]: Taking taylor expansion of -2/3 in im 3.377 * [backup-simplify]: Simplify -2/3 into -2/3 3.377 * [taylor]: Taking taylor expansion of (log re) in im 3.377 * [taylor]: Taking taylor expansion of re in im 3.377 * [backup-simplify]: Simplify re into re 3.377 * [backup-simplify]: Simplify (log re) into (log re) 3.377 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.377 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.377 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.379 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.380 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.380 * [taylor]: Taking taylor expansion of 0 in im 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.381 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.382 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.385 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.385 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.386 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.386 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.386 * [taylor]: Taking taylor expansion of 1/3 in im 3.386 * [backup-simplify]: Simplify 1/3 into 1/3 3.386 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.386 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.386 * [taylor]: Taking taylor expansion of 1/3 in im 3.386 * [backup-simplify]: Simplify 1/3 into 1/3 3.386 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.386 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.386 * [taylor]: Taking taylor expansion of re in im 3.386 * [backup-simplify]: Simplify re into re 3.386 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.386 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.386 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.386 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.387 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.387 * [taylor]: Taking taylor expansion of im in im 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* 1 1) into 1 3.387 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.395 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.395 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.398 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.399 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.403 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.405 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.405 * [taylor]: Taking taylor expansion of 0 in im 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 3.405 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.405 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.405 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.405 * [taylor]: Taking taylor expansion of 1/3 in im 3.405 * [backup-simplify]: Simplify 1/3 into 1/3 3.405 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.405 * [taylor]: Taking taylor expansion of im in im 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (* 1 1) into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.406 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.406 * [taylor]: Taking taylor expansion of re in im 3.406 * [backup-simplify]: Simplify re into re 3.406 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.406 * [backup-simplify]: Simplify (+ 1 0) into 1 3.407 * [backup-simplify]: Simplify (log 1) into 0 3.407 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.407 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.407 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.407 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.407 * [taylor]: Taking taylor expansion of 1/3 in re 3.407 * [backup-simplify]: Simplify 1/3 into 1/3 3.407 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.407 * [taylor]: Taking taylor expansion of im in re 3.407 * [backup-simplify]: Simplify im into im 3.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.407 * [taylor]: Taking taylor expansion of re in re 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [backup-simplify]: Simplify (+ 0 1) into 1 3.408 * [backup-simplify]: Simplify (log 1) into 0 3.409 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.409 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.409 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.409 * [taylor]: Taking taylor expansion of 1/3 in re 3.409 * [backup-simplify]: Simplify 1/3 into 1/3 3.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.409 * [taylor]: Taking taylor expansion of im in re 3.409 * [backup-simplify]: Simplify im into im 3.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.409 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.409 * [taylor]: Taking taylor expansion of re in re 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [backup-simplify]: Simplify (+ 0 1) into 1 3.410 * [backup-simplify]: Simplify (log 1) into 0 3.410 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.411 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.411 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.411 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.411 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.411 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.411 * [taylor]: Taking taylor expansion of -2/3 in im 3.411 * [backup-simplify]: Simplify -2/3 into -2/3 3.411 * [taylor]: Taking taylor expansion of (log re) in im 3.411 * [taylor]: Taking taylor expansion of re in im 3.411 * [backup-simplify]: Simplify re into re 3.411 * [backup-simplify]: Simplify (log re) into (log re) 3.411 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.411 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.411 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.413 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.414 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.414 * [taylor]: Taking taylor expansion of 0 in im 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.415 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.416 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.419 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.419 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.420 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.420 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.420 * [taylor]: Taking taylor expansion of 1/3 in im 3.420 * [backup-simplify]: Simplify 1/3 into 1/3 3.420 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.420 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.420 * [taylor]: Taking taylor expansion of 1/3 in im 3.420 * [backup-simplify]: Simplify 1/3 into 1/3 3.420 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.420 * [taylor]: Taking taylor expansion of re in im 3.420 * [backup-simplify]: Simplify re into re 3.420 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.420 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.420 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.420 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.420 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.421 * [taylor]: Taking taylor expansion of im in im 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.425 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.429 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.429 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.430 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.432 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.433 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.437 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.439 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.439 * [taylor]: Taking taylor expansion of 0 in im 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 3.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2) 3.439 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 3.439 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 3.439 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 3.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 3.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 3.439 * [taylor]: Taking taylor expansion of 1/3 in im 3.439 * [backup-simplify]: Simplify 1/3 into 1/3 3.439 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 3.439 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.439 * [taylor]: Taking taylor expansion of re in im 3.439 * [backup-simplify]: Simplify re into re 3.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.439 * [taylor]: Taking taylor expansion of im in im 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.440 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.440 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 3.440 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 3.440 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 3.440 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.440 * [taylor]: Taking taylor expansion of 1/3 in re 3.440 * [backup-simplify]: Simplify 1/3 into 1/3 3.440 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.440 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.440 * [taylor]: Taking taylor expansion of re in re 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.440 * [taylor]: Taking taylor expansion of im in re 3.440 * [backup-simplify]: Simplify im into im 3.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.440 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.440 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.440 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.440 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.440 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.441 * [taylor]: Taking taylor expansion of 1/3 in re 3.441 * [backup-simplify]: Simplify 1/3 into 1/3 3.441 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.441 * [taylor]: Taking taylor expansion of re in re 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.441 * [taylor]: Taking taylor expansion of im in re 3.441 * [backup-simplify]: Simplify im into im 3.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.441 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.441 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.441 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.441 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.441 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 3.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 3.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 3.441 * [taylor]: Taking taylor expansion of 1/3 in im 3.441 * [backup-simplify]: Simplify 1/3 into 1/3 3.441 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 3.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.441 * [taylor]: Taking taylor expansion of im in im 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (* 1 1) into 1 3.442 * [backup-simplify]: Simplify (log 1) into 0 3.442 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.442 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 3.442 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 3.443 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 3.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 3.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 3.450 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.450 * [taylor]: Taking taylor expansion of 0 in im 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.451 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 3.452 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.453 * [backup-simplify]: Simplify (+ 1 0) into 1 3.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 3.455 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 3.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.455 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 3.455 * [taylor]: Taking taylor expansion of 1/3 in im 3.455 * [backup-simplify]: Simplify 1/3 into 1/3 3.455 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 3.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 3.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 3.455 * [taylor]: Taking taylor expansion of 1/3 in im 3.456 * [backup-simplify]: Simplify 1/3 into 1/3 3.456 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.456 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.456 * [taylor]: Taking taylor expansion of im in im 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.457 * [backup-simplify]: Simplify (log 1) into 0 3.457 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.457 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 3.457 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 3.457 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.457 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.460 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 3.461 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 3.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.466 * [taylor]: Taking taylor expansion of 0 in im 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.469 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 3.470 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.476 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 3.479 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 3.480 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.480 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.480 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.481 * [taylor]: Taking taylor expansion of 1/3 in im 3.481 * [backup-simplify]: Simplify 1/3 into 1/3 3.481 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.481 * [taylor]: Taking taylor expansion of im in im 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.482 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.482 * [taylor]: Taking taylor expansion of re in im 3.482 * [backup-simplify]: Simplify re into re 3.482 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.482 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.482 * [backup-simplify]: Simplify (+ 1 0) into 1 3.483 * [backup-simplify]: Simplify (log 1) into 0 3.483 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.483 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.483 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.483 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.484 * [taylor]: Taking taylor expansion of 1/3 in re 3.484 * [backup-simplify]: Simplify 1/3 into 1/3 3.484 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.484 * [taylor]: Taking taylor expansion of im in re 3.484 * [backup-simplify]: Simplify im into im 3.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.484 * [taylor]: Taking taylor expansion of re in re 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (* 1 1) into 1 3.485 * [backup-simplify]: Simplify (/ 1 1) into 1 3.485 * [backup-simplify]: Simplify (+ 0 1) into 1 3.486 * [backup-simplify]: Simplify (log 1) into 0 3.486 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.486 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.486 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.486 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.486 * [taylor]: Taking taylor expansion of 1/3 in re 3.486 * [backup-simplify]: Simplify 1/3 into 1/3 3.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.487 * [taylor]: Taking taylor expansion of im in re 3.487 * [backup-simplify]: Simplify im into im 3.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.487 * [taylor]: Taking taylor expansion of re in re 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [backup-simplify]: Simplify (+ 0 1) into 1 3.489 * [backup-simplify]: Simplify (log 1) into 0 3.489 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.489 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.489 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.489 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.489 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.489 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.489 * [taylor]: Taking taylor expansion of -2/3 in im 3.490 * [backup-simplify]: Simplify -2/3 into -2/3 3.490 * [taylor]: Taking taylor expansion of (log re) in im 3.490 * [taylor]: Taking taylor expansion of re in im 3.490 * [backup-simplify]: Simplify re into re 3.490 * [backup-simplify]: Simplify (log re) into (log re) 3.490 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.490 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.490 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (+ 0 0) into 0 3.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.493 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.495 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.495 * [taylor]: Taking taylor expansion of 0 in im 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.496 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.497 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.502 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.502 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.503 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.504 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.504 * [taylor]: Taking taylor expansion of 1/3 in im 3.504 * [backup-simplify]: Simplify 1/3 into 1/3 3.504 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.504 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.504 * [taylor]: Taking taylor expansion of 1/3 in im 3.504 * [backup-simplify]: Simplify 1/3 into 1/3 3.504 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.504 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.504 * [taylor]: Taking taylor expansion of re in im 3.504 * [backup-simplify]: Simplify re into re 3.504 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.504 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.504 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.504 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.505 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.505 * [taylor]: Taking taylor expansion of im in im 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.510 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.514 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.515 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.516 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.516 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.520 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.521 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.529 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.532 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.532 * [taylor]: Taking taylor expansion of 0 in im 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 3.533 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.533 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.533 * [taylor]: Taking taylor expansion of 1/3 in im 3.533 * [backup-simplify]: Simplify 1/3 into 1/3 3.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.533 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.533 * [taylor]: Taking taylor expansion of im in im 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (* 1 1) into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.534 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.534 * [taylor]: Taking taylor expansion of re in im 3.534 * [backup-simplify]: Simplify re into re 3.534 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.534 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.534 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [backup-simplify]: Simplify (log 1) into 0 3.535 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.535 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.535 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.536 * [taylor]: Taking taylor expansion of 1/3 in re 3.536 * [backup-simplify]: Simplify 1/3 into 1/3 3.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.536 * [taylor]: Taking taylor expansion of im in re 3.536 * [backup-simplify]: Simplify im into im 3.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.536 * [taylor]: Taking taylor expansion of re in re 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (* 1 1) into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.537 * [backup-simplify]: Simplify (+ 0 1) into 1 3.538 * [backup-simplify]: Simplify (log 1) into 0 3.538 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.538 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.539 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.539 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.539 * [taylor]: Taking taylor expansion of 1/3 in re 3.539 * [backup-simplify]: Simplify 1/3 into 1/3 3.539 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.539 * [taylor]: Taking taylor expansion of im in re 3.539 * [backup-simplify]: Simplify im into im 3.539 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.539 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.539 * [taylor]: Taking taylor expansion of re in re 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (* 1 1) into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [backup-simplify]: Simplify (+ 0 1) into 1 3.541 * [backup-simplify]: Simplify (log 1) into 0 3.541 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.542 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.542 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.542 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.542 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.542 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.542 * [taylor]: Taking taylor expansion of -2/3 in im 3.542 * [backup-simplify]: Simplify -2/3 into -2/3 3.542 * [taylor]: Taking taylor expansion of (log re) in im 3.542 * [taylor]: Taking taylor expansion of re in im 3.542 * [backup-simplify]: Simplify re into re 3.542 * [backup-simplify]: Simplify (log re) into (log re) 3.542 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.542 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.542 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.546 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.548 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.548 * [taylor]: Taking taylor expansion of 0 in im 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.549 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.550 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.555 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.556 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.557 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.557 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.557 * [taylor]: Taking taylor expansion of 1/3 in im 3.557 * [backup-simplify]: Simplify 1/3 into 1/3 3.558 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.558 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.558 * [taylor]: Taking taylor expansion of 1/3 in im 3.558 * [backup-simplify]: Simplify 1/3 into 1/3 3.558 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.558 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.558 * [taylor]: Taking taylor expansion of re in im 3.558 * [backup-simplify]: Simplify re into re 3.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.558 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.558 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.558 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.559 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.559 * [taylor]: Taking taylor expansion of im in im 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (* 1 1) into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.567 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.573 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.574 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.578 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.579 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.586 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.598 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.598 * [taylor]: Taking taylor expansion of 0 in im 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 3.598 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 3.599 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 3.599 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 3.599 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 3.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 3.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 3.599 * [taylor]: Taking taylor expansion of 1/3 in im 3.599 * [backup-simplify]: Simplify 1/3 into 1/3 3.599 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 3.599 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.599 * [taylor]: Taking taylor expansion of re in im 3.599 * [backup-simplify]: Simplify re into re 3.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.599 * [taylor]: Taking taylor expansion of im in im 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.599 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.599 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 3.600 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 3.600 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 3.600 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.600 * [taylor]: Taking taylor expansion of 1/3 in re 3.600 * [backup-simplify]: Simplify 1/3 into 1/3 3.600 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.600 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.600 * [taylor]: Taking taylor expansion of re in re 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.600 * [taylor]: Taking taylor expansion of im in re 3.600 * [backup-simplify]: Simplify im into im 3.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.601 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.601 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.601 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.601 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.601 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.601 * [taylor]: Taking taylor expansion of 1/3 in re 3.601 * [backup-simplify]: Simplify 1/3 into 1/3 3.601 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.601 * [taylor]: Taking taylor expansion of re in re 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.601 * [taylor]: Taking taylor expansion of im in re 3.601 * [backup-simplify]: Simplify im into im 3.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.602 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.602 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.602 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.602 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 3.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 3.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 3.602 * [taylor]: Taking taylor expansion of 1/3 in im 3.602 * [backup-simplify]: Simplify 1/3 into 1/3 3.602 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 3.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.603 * [taylor]: Taking taylor expansion of im in im 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (log 1) into 0 3.604 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.604 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 3.604 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 3.604 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 3.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 3.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 3.608 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.608 * [taylor]: Taking taylor expansion of 0 in im 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.610 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 3.612 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (* 1 1) into 1 3.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.613 * [backup-simplify]: Simplify (+ 1 0) into 1 3.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 3.615 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 3.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.616 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 3.616 * [taylor]: Taking taylor expansion of 1/3 in im 3.616 * [backup-simplify]: Simplify 1/3 into 1/3 3.616 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 3.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 3.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 3.616 * [taylor]: Taking taylor expansion of 1/3 in im 3.616 * [backup-simplify]: Simplify 1/3 into 1/3 3.616 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.616 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.616 * [taylor]: Taking taylor expansion of im in im 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (* 1 1) into 1 3.617 * [backup-simplify]: Simplify (* 1 1) into 1 3.617 * [backup-simplify]: Simplify (/ 1 1) into 1 3.617 * [backup-simplify]: Simplify (log 1) into 0 3.618 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.618 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 3.618 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 3.618 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.618 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.621 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 3.622 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.623 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 3.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 3.627 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.627 * [taylor]: Taking taylor expansion of 0 in im 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.629 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 3.630 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.634 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 3.636 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 3.637 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.637 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.637 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.637 * [taylor]: Taking taylor expansion of 1/3 in im 3.637 * [backup-simplify]: Simplify 1/3 into 1/3 3.637 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.637 * [taylor]: Taking taylor expansion of im in im 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.637 * [taylor]: Taking taylor expansion of re in im 3.637 * [backup-simplify]: Simplify re into re 3.638 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.638 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.638 * [backup-simplify]: Simplify (+ 1 0) into 1 3.638 * [backup-simplify]: Simplify (log 1) into 0 3.638 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.639 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.639 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.639 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.639 * [taylor]: Taking taylor expansion of 1/3 in re 3.639 * [backup-simplify]: Simplify 1/3 into 1/3 3.639 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.639 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.639 * [taylor]: Taking taylor expansion of im in re 3.639 * [backup-simplify]: Simplify im into im 3.639 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.639 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.639 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.639 * [taylor]: Taking taylor expansion of re in re 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (+ 0 1) into 1 3.640 * [backup-simplify]: Simplify (log 1) into 0 3.640 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.641 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.641 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.641 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.641 * [taylor]: Taking taylor expansion of 1/3 in re 3.641 * [backup-simplify]: Simplify 1/3 into 1/3 3.641 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.641 * [taylor]: Taking taylor expansion of im in re 3.641 * [backup-simplify]: Simplify im into im 3.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.641 * [taylor]: Taking taylor expansion of re in re 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [backup-simplify]: Simplify (+ 0 1) into 1 3.642 * [backup-simplify]: Simplify (log 1) into 0 3.642 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.642 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.642 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.643 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.643 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.643 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.643 * [taylor]: Taking taylor expansion of -2/3 in im 3.643 * [backup-simplify]: Simplify -2/3 into -2/3 3.643 * [taylor]: Taking taylor expansion of (log re) in im 3.643 * [taylor]: Taking taylor expansion of re in im 3.643 * [backup-simplify]: Simplify re into re 3.643 * [backup-simplify]: Simplify (log re) into (log re) 3.643 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.643 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.643 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.645 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.646 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.646 * [taylor]: Taking taylor expansion of 0 in im 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.647 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.648 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.653 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.654 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.655 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.655 * [taylor]: Taking taylor expansion of 1/3 in im 3.655 * [backup-simplify]: Simplify 1/3 into 1/3 3.655 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.655 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.655 * [taylor]: Taking taylor expansion of 1/3 in im 3.655 * [backup-simplify]: Simplify 1/3 into 1/3 3.655 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.655 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.655 * [taylor]: Taking taylor expansion of re in im 3.655 * [backup-simplify]: Simplify re into re 3.655 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.655 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.656 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.656 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.656 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.656 * [taylor]: Taking taylor expansion of im in im 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.664 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.670 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.671 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.672 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.676 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.680 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.688 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.689 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.691 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.692 * [taylor]: Taking taylor expansion of 0 in im 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 3.692 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.692 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.692 * [taylor]: Taking taylor expansion of 1/3 in im 3.692 * [backup-simplify]: Simplify 1/3 into 1/3 3.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.693 * [taylor]: Taking taylor expansion of im in im 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (* 1 1) into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.693 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.694 * [taylor]: Taking taylor expansion of re in im 3.694 * [backup-simplify]: Simplify re into re 3.694 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.694 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.694 * [backup-simplify]: Simplify (+ 1 0) into 1 3.695 * [backup-simplify]: Simplify (log 1) into 0 3.695 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.695 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.695 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.695 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.695 * [taylor]: Taking taylor expansion of 1/3 in re 3.696 * [backup-simplify]: Simplify 1/3 into 1/3 3.696 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.696 * [taylor]: Taking taylor expansion of im in re 3.696 * [backup-simplify]: Simplify im into im 3.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.696 * [taylor]: Taking taylor expansion of re in re 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (* 1 1) into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [backup-simplify]: Simplify (+ 0 1) into 1 3.698 * [backup-simplify]: Simplify (log 1) into 0 3.698 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.698 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.698 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.698 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.698 * [taylor]: Taking taylor expansion of 1/3 in re 3.699 * [backup-simplify]: Simplify 1/3 into 1/3 3.699 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.699 * [taylor]: Taking taylor expansion of im in re 3.699 * [backup-simplify]: Simplify im into im 3.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.699 * [taylor]: Taking taylor expansion of re in re 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (* 1 1) into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [backup-simplify]: Simplify (+ 0 1) into 1 3.701 * [backup-simplify]: Simplify (log 1) into 0 3.701 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.701 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.701 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.701 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.701 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.701 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.701 * [taylor]: Taking taylor expansion of -2/3 in im 3.701 * [backup-simplify]: Simplify -2/3 into -2/3 3.701 * [taylor]: Taking taylor expansion of (log re) in im 3.701 * [taylor]: Taking taylor expansion of re in im 3.701 * [backup-simplify]: Simplify re into re 3.701 * [backup-simplify]: Simplify (log re) into (log re) 3.702 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.702 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.702 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.705 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.707 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.707 * [taylor]: Taking taylor expansion of 0 in im 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.708 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.709 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.709 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.714 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.715 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.716 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.716 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.716 * [taylor]: Taking taylor expansion of 1/3 in im 3.716 * [backup-simplify]: Simplify 1/3 into 1/3 3.716 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.716 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.716 * [taylor]: Taking taylor expansion of 1/3 in im 3.717 * [backup-simplify]: Simplify 1/3 into 1/3 3.717 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.717 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.717 * [taylor]: Taking taylor expansion of re in im 3.717 * [backup-simplify]: Simplify re into re 3.717 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.717 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.717 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.717 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.718 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.718 * [taylor]: Taking taylor expansion of im in im 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.733 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.733 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.744 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.746 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.754 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.755 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.757 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.758 * [taylor]: Taking taylor expansion of 0 in im 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 3.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 2 1) 3.758 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.758 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.758 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.758 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.758 * [taylor]: Taking taylor expansion of re in im 3.758 * [backup-simplify]: Simplify re into re 3.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.758 * [taylor]: Taking taylor expansion of im in im 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.759 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.759 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.759 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.759 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.760 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.760 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.760 * [taylor]: Taking taylor expansion of re in re 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.760 * [taylor]: Taking taylor expansion of im in re 3.760 * [backup-simplify]: Simplify im into im 3.760 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.760 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.760 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.761 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.761 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.761 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.761 * [taylor]: Taking taylor expansion of re in re 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.761 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.761 * [taylor]: Taking taylor expansion of im in re 3.761 * [backup-simplify]: Simplify im into im 3.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.762 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.762 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.762 * [taylor]: Taking taylor expansion of im in im 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [taylor]: Taking taylor expansion of 0 in im 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (* 1 1) into 1 3.763 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.764 * [backup-simplify]: Simplify (+ 1 0) into 1 3.764 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.764 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.764 * [taylor]: Taking taylor expansion of 1/2 in im 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [taylor]: Taking taylor expansion of im in im 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.766 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in im 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.767 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.767 * [taylor]: Taking taylor expansion of im in im 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.768 * [taylor]: Taking taylor expansion of re in im 3.768 * [backup-simplify]: Simplify re into re 3.768 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.768 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.769 * [backup-simplify]: Simplify (+ 1 0) into 1 3.769 * [backup-simplify]: Simplify (sqrt 1) into 1 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.770 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.770 * [taylor]: Taking taylor expansion of im in re 3.770 * [backup-simplify]: Simplify im into im 3.770 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.771 * [taylor]: Taking taylor expansion of re in re 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.771 * [backup-simplify]: Simplify (/ 1 1) into 1 3.771 * [backup-simplify]: Simplify (+ 0 1) into 1 3.772 * [backup-simplify]: Simplify (sqrt 1) into 1 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.773 * [taylor]: Taking taylor expansion of im in re 3.773 * [backup-simplify]: Simplify im into im 3.773 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.773 * [taylor]: Taking taylor expansion of re in re 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [backup-simplify]: Simplify (+ 0 1) into 1 3.774 * [backup-simplify]: Simplify (sqrt 1) into 1 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ 0 0) into 0 3.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.776 * [taylor]: Taking taylor expansion of 1 in im 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of 0 in im 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.779 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.779 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.779 * [taylor]: Taking taylor expansion of 1/2 in im 3.779 * [backup-simplify]: Simplify 1/2 into 1/2 3.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.779 * [taylor]: Taking taylor expansion of im in im 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.782 * [taylor]: Taking taylor expansion of 0 in im 3.782 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.784 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.784 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.784 * [taylor]: Taking taylor expansion of im in im 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (/ 1 1) into 1 3.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.785 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.785 * [taylor]: Taking taylor expansion of re in im 3.785 * [backup-simplify]: Simplify re into re 3.785 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.785 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.785 * [backup-simplify]: Simplify (+ 1 0) into 1 3.785 * [backup-simplify]: Simplify (sqrt 1) into 1 3.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.787 * [taylor]: Taking taylor expansion of im in re 3.787 * [backup-simplify]: Simplify im into im 3.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.787 * [taylor]: Taking taylor expansion of re in re 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 1 into 1 3.787 * [backup-simplify]: Simplify (* 1 1) into 1 3.788 * [backup-simplify]: Simplify (/ 1 1) into 1 3.788 * [backup-simplify]: Simplify (+ 0 1) into 1 3.788 * [backup-simplify]: Simplify (sqrt 1) into 1 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.790 * [taylor]: Taking taylor expansion of im in re 3.790 * [backup-simplify]: Simplify im into im 3.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.790 * [taylor]: Taking taylor expansion of re in re 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.791 * [backup-simplify]: Simplify (+ 0 1) into 1 3.791 * [backup-simplify]: Simplify (sqrt 1) into 1 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.793 * [taylor]: Taking taylor expansion of 1 in im 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of 0 in im 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.795 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.795 * [taylor]: Taking taylor expansion of 1/2 in im 3.795 * [backup-simplify]: Simplify 1/2 into 1/2 3.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.795 * [taylor]: Taking taylor expansion of im in im 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.798 * [taylor]: Taking taylor expansion of 0 in im 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.800 * * * [progress]: simplifying candidates 3.801 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 3.801 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) h0 h1 (* -1 h1) 3.875 * * * [progress]: adding candidates to table 4.403 * [progress]: [Phase 3 of 3] Extracting. 4.403 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.407 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) im re) 4.408 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 4.476 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 4.534 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 4.583 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 4.649 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 4.720 * * * [regime]: Found split indices: #