0.800 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.087 * * * [progress]: [2/2] Setting up program.
0.091 * [progress]: [Phase 2 of 3] Improving.
0.094 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.094 * [simplify]: Sending expressions to egg_math:
 (* (/ 1.0 2.0) (sqrt (* 2.0 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
0.152 * * [progress]: iteration 1 / 4
0.152 * * * [progress]: picking best candidate
0.155 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.155 * * * [progress]: localizing error
0.188 * * * [progress]: generating rewritten candidates
0.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.430 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.456 * * * [progress]: generating series expansions
0.456 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.496 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.497 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.498 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.498 * [taylor]: Taking taylor expansion of re in im
0.498 * [backup-simplify]: Simplify re into re
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
0.500 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.501 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.501 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.501 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.503 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.504 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.505 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.505 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.505 * [taylor]: Taking taylor expansion of re in re
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.505 * [taylor]: Taking taylor expansion of im in re
0.505 * [backup-simplify]: Simplify im into im
0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.505 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.505 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.507 * [taylor]: Taking taylor expansion of im in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [taylor]: Taking taylor expansion of 0 in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.509 * [backup-simplify]: Simplify (+ 1 0) into 1
0.510 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.510 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.510 * [taylor]: Taking taylor expansion of 1/2 in im
0.510 * [backup-simplify]: Simplify 1/2 into 1/2
0.510 * [taylor]: Taking taylor expansion of im in im
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.513 * [taylor]: Taking taylor expansion of 0 in im
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.514 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.514 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.515 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.515 * [taylor]: Taking taylor expansion of re in im
0.515 * [backup-simplify]: Simplify re into re
0.515 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.516 * [backup-simplify]: Simplify (+ 1 0) into 1
0.516 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.518 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.518 * [taylor]: Taking taylor expansion of im in re
0.518 * [backup-simplify]: Simplify im into im
0.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.518 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.518 * [taylor]: Taking taylor expansion of re in re
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.518 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.519 * [backup-simplify]: Simplify (+ 0 1) into 1
0.519 * [backup-simplify]: Simplify (sqrt 1) into 1
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.521 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.521 * [taylor]: Taking taylor expansion of im in re
0.521 * [backup-simplify]: Simplify im into im
0.521 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.522 * [taylor]: Taking taylor expansion of re in re
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.523 * [backup-simplify]: Simplify (+ 0 1) into 1
0.523 * [backup-simplify]: Simplify (sqrt 1) into 1
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.525 * [taylor]: Taking taylor expansion of 1 in im
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [taylor]: Taking taylor expansion of 0 in im
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.527 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.527 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.527 * [taylor]: Taking taylor expansion of 1/2 in im
0.527 * [backup-simplify]: Simplify 1/2 into 1/2
0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.527 * [taylor]: Taking taylor expansion of im in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (* 1 1) into 1
0.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in im
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.539 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.539 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.539 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.539 * [taylor]: Taking taylor expansion of im in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.539 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.539 * [taylor]: Taking taylor expansion of re in im
0.539 * [backup-simplify]: Simplify re into re
0.540 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.540 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.540 * [backup-simplify]: Simplify (+ 1 0) into 1
0.540 * [backup-simplify]: Simplify (sqrt 1) into 1
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.542 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.542 * [taylor]: Taking taylor expansion of im in re
0.542 * [backup-simplify]: Simplify im into im
0.542 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.542 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.542 * [taylor]: Taking taylor expansion of re in re
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ 0 1) into 1
0.543 * [backup-simplify]: Simplify (sqrt 1) into 1
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.545 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.545 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.545 * [taylor]: Taking taylor expansion of re in re
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [backup-simplify]: Simplify (+ 0 1) into 1
0.550 * [backup-simplify]: Simplify (sqrt 1) into 1
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.553 * [taylor]: Taking taylor expansion of 1 in im
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [taylor]: Taking taylor expansion of 0 in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.557 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.557 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.557 * [taylor]: Taking taylor expansion of 1/2 in im
0.557 * [backup-simplify]: Simplify 1/2 into 1/2
0.557 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.557 * [taylor]: Taking taylor expansion of im in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.564 * [taylor]: Taking taylor expansion of 0 in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.568 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
0.568 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
0.568 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.568 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.568 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.568 * [taylor]: Taking taylor expansion of re in im
0.568 * [backup-simplify]: Simplify re into re
0.568 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.568 * [taylor]: Taking taylor expansion of im in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.569 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.569 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.569 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.570 * [taylor]: Taking taylor expansion of re in im
0.570 * [backup-simplify]: Simplify re into re
0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.570 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.570 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.570 * [taylor]: Taking taylor expansion of re in re
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 1 into 1
0.570 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.570 * [taylor]: Taking taylor expansion of im in re
0.570 * [backup-simplify]: Simplify im into im
0.570 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.571 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.572 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.572 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.572 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.573 * [taylor]: Taking taylor expansion of re in re
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (- 0) into 0
0.574 * [backup-simplify]: Simplify (+ im 0) into im
0.574 * [taylor]: Taking taylor expansion of im in im
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify (- 1) into -1
0.575 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.575 * [taylor]: Taking taylor expansion of -1 in im
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (* 1 1) into 1
0.576 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.577 * [backup-simplify]: Simplify (+ 1 0) into 1
0.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.578 * [backup-simplify]: Simplify (- 0) into 0
0.578 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.578 * [taylor]: Taking taylor expansion of 1/2 in im
0.578 * [backup-simplify]: Simplify 1/2 into 1/2
0.578 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.584 * [backup-simplify]: Simplify (- 0) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [taylor]: Taking taylor expansion of 0 in im
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.588 * [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))
0.588 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.588 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.588 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.589 * [taylor]: Taking taylor expansion of im in im
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (* 1 1) into 1
0.589 * [backup-simplify]: Simplify (/ 1 1) into 1
0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.590 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.590 * [taylor]: Taking taylor expansion of re in im
0.590 * [backup-simplify]: Simplify re into re
0.590 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.590 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.590 * [backup-simplify]: Simplify (+ 1 0) into 1
0.591 * [backup-simplify]: Simplify (sqrt 1) into 1
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.594 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.594 * [taylor]: Taking taylor expansion of re in im
0.594 * [backup-simplify]: Simplify re into re
0.594 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.594 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.594 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.594 * [taylor]: Taking taylor expansion of im in re
0.594 * [backup-simplify]: Simplify im into im
0.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.595 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.595 * [taylor]: Taking taylor expansion of re in re
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.601 * [backup-simplify]: Simplify (/ 1 1) into 1
0.602 * [backup-simplify]: Simplify (+ 0 1) into 1
0.603 * [backup-simplify]: Simplify (sqrt 1) into 1
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.606 * [taylor]: Taking taylor expansion of re in re
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (/ 1 1) into 1
0.607 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.607 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.607 * [taylor]: Taking taylor expansion of im in re
0.607 * [backup-simplify]: Simplify im into im
0.607 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.607 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.607 * [taylor]: Taking taylor expansion of re in re
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (* 1 1) into 1
0.608 * [backup-simplify]: Simplify (/ 1 1) into 1
0.609 * [backup-simplify]: Simplify (+ 0 1) into 1
0.609 * [backup-simplify]: Simplify (sqrt 1) into 1
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.612 * [taylor]: Taking taylor expansion of re in re
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (/ 1 1) into 1
0.613 * [backup-simplify]: Simplify (- 1) into -1
0.614 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.614 * [taylor]: Taking taylor expansion of 0 in im
0.614 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (- 0) into 0
0.616 * [backup-simplify]: Simplify (+ 0 0) into 0
0.616 * [taylor]: Taking taylor expansion of 0 in im
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.620 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (- 0) into 0
0.622 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.622 * [taylor]: Taking taylor expansion of 1/2 in im
0.622 * [backup-simplify]: Simplify 1/2 into 1/2
0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.622 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.622 * [taylor]: Taking taylor expansion of im in im
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 (+ (* 1 0) (* 0 1)) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (- 0) into 0
0.631 * [backup-simplify]: Simplify (+ 0 0) into 0
0.631 * [taylor]: Taking taylor expansion of 0 in im
0.631 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 0 into 0
0.635 * [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)))))
0.635 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.635 * [taylor]: Taking taylor expansion of re in im
0.635 * [backup-simplify]: Simplify re into re
0.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.635 * [taylor]: Taking taylor expansion of im in im
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.636 * [backup-simplify]: Simplify (* 1 1) into 1
0.636 * [backup-simplify]: Simplify (/ 1 1) into 1
0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.636 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.636 * [taylor]: Taking taylor expansion of re in im
0.637 * [backup-simplify]: Simplify re into re
0.637 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.637 * [backup-simplify]: Simplify (+ 1 0) into 1
0.638 * [backup-simplify]: Simplify (sqrt 1) into 1
0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.641 * [taylor]: Taking taylor expansion of re in re
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.641 * [backup-simplify]: Simplify (/ 1 1) into 1
0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.641 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.642 * [taylor]: Taking taylor expansion of im in re
0.642 * [backup-simplify]: Simplify im into im
0.642 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.642 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.642 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.642 * [taylor]: Taking taylor expansion of re in re
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (* 1 1) into 1
0.643 * [backup-simplify]: Simplify (/ 1 1) into 1
0.644 * [backup-simplify]: Simplify (+ 0 1) into 1
0.644 * [backup-simplify]: Simplify (sqrt 1) into 1
0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (+ 0 0) into 0
0.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.647 * [taylor]: Taking taylor expansion of re in re
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.648 * [backup-simplify]: Simplify (/ 1 1) into 1
0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.648 * [taylor]: Taking taylor expansion of im in re
0.648 * [backup-simplify]: Simplify im into im
0.648 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.648 * [taylor]: Taking taylor expansion of re in re
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (* 1 1) into 1
0.649 * [backup-simplify]: Simplify (/ 1 1) into 1
0.650 * [backup-simplify]: Simplify (+ 0 1) into 1
0.650 * [backup-simplify]: Simplify (sqrt 1) into 1
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.654 * [backup-simplify]: Simplify (+ 1 1) into 2
0.654 * [taylor]: Taking taylor expansion of 2 in im
0.654 * [backup-simplify]: Simplify 2 into 2
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (+ 0 0) into 0
0.655 * [taylor]: Taking taylor expansion of 0 in im
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify 2 into 2
0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.659 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.660 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.660 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.660 * [taylor]: Taking taylor expansion of 1/2 in im
0.661 * [backup-simplify]: Simplify 1/2 into 1/2
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.661 * [taylor]: Taking taylor expansion of im in im
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (* 1 1) into 1
0.662 * [backup-simplify]: Simplify (/ 1 1) into 1
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.665 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.668 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [taylor]: Taking taylor expansion of 0 in im
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.672 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.673 * [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)))
0.673 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0
0.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
0.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.673 * [taylor]: Taking taylor expansion of 2.0 in im
0.673 * [backup-simplify]: Simplify 2.0 into 2.0
0.674 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.674 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
0.674 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.674 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.674 * [taylor]: Taking taylor expansion of re in im
0.675 * [backup-simplify]: Simplify re into re
0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.675 * [taylor]: Taking taylor expansion of im in im
0.675 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify 1 into 1
0.675 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.675 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.675 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.675 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.676 * [backup-simplify]: Simplify (+ 0 0) into 0
0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.676 * [taylor]: Taking taylor expansion of re in im
0.676 * [backup-simplify]: Simplify re into re
0.676 * [backup-simplify]: Simplify (- re) into (- re)
0.676 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.676 * [backup-simplify]: Simplify (- 0) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.677 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.678 * [backup-simplify]: Simplify (+ 0 1) into 1
0.679 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.679 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.679 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.680 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.682 * [backup-simplify]: Simplify (- 0) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.682 * [taylor]: Taking taylor expansion of 2.0 in re
0.682 * [backup-simplify]: Simplify 2.0 into 2.0
0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.684 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.684 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.684 * [taylor]: Taking taylor expansion of re in re
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.684 * [taylor]: Taking taylor expansion of im in re
0.684 * [backup-simplify]: Simplify im into im
0.684 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.684 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.685 * [backup-simplify]: Simplify (+ 0 0) into 0
0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.685 * [taylor]: Taking taylor expansion of re in re
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify (- 0) into 0
0.686 * [backup-simplify]: Simplify (+ im 0) into im
0.686 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.686 * [backup-simplify]: Simplify (- 1) into -1
0.687 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.687 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.687 * [taylor]: Taking taylor expansion of 2.0 in re
0.687 * [backup-simplify]: Simplify 2.0 into 2.0
0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.688 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.688 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.688 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.688 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.688 * [taylor]: Taking taylor expansion of re in re
0.688 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify 1 into 1
0.688 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.688 * [taylor]: Taking taylor expansion of im in re
0.688 * [backup-simplify]: Simplify im into im
0.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.689 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.689 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.689 * [backup-simplify]: Simplify (+ 0 0) into 0
0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.690 * [taylor]: Taking taylor expansion of re in re
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (- 0) into 0
0.690 * [backup-simplify]: Simplify (+ im 0) into im
0.690 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.690 * [backup-simplify]: Simplify (- 1) into -1
0.691 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.691 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.691 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.692 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.692 * [taylor]: Taking taylor expansion of 2.0 in im
0.692 * [backup-simplify]: Simplify 2.0 into 2.0
0.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.693 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.693 * [taylor]: Taking taylor expansion of im in im
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 1 into 1
0.693 * [backup-simplify]: Simplify (sqrt 0) into 0
0.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.697 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.698 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.699 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.699 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.699 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.699 * [taylor]: Taking taylor expansion of 1/2 in im
0.699 * [backup-simplify]: Simplify 1/2 into 1/2
0.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.699 * [taylor]: Taking taylor expansion of 2.0 in im
0.699 * [backup-simplify]: Simplify 2.0 into 2.0
0.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.700 * [taylor]: Taking taylor expansion of im in im
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.701 * [backup-simplify]: Simplify (/ 1 1) into 1
0.701 * [backup-simplify]: Simplify (sqrt 0) into 0
0.702 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.718 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.720 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.721 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.726 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.727 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.728 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.730 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.733 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.734 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.737 * [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))))))))
0.737 * [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))))
0.737 * [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
0.737 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.737 * [taylor]: Taking taylor expansion of 2.0 in im
0.738 * [backup-simplify]: Simplify 2.0 into 2.0
0.738 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.738 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.738 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.738 * [taylor]: Taking taylor expansion of im in im
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 1 into 1
0.742 * [backup-simplify]: Simplify (* 1 1) into 1
0.742 * [backup-simplify]: Simplify (/ 1 1) into 1
0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.742 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.742 * [taylor]: Taking taylor expansion of re in im
0.742 * [backup-simplify]: Simplify re into re
0.742 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.742 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.743 * [backup-simplify]: Simplify (+ 1 0) into 1
0.743 * [backup-simplify]: Simplify (sqrt 1) into 1
0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.744 * [backup-simplify]: Simplify (+ 0 0) into 0
0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.745 * [taylor]: Taking taylor expansion of re in im
0.745 * [backup-simplify]: Simplify re into re
0.745 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.745 * [backup-simplify]: Simplify (+ 1 0) into 1
0.745 * [backup-simplify]: Simplify (sqrt 0) into 0
0.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.746 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.746 * [taylor]: Taking taylor expansion of 2.0 in re
0.746 * [backup-simplify]: Simplify 2.0 into 2.0
0.746 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.747 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.747 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.747 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.747 * [taylor]: Taking taylor expansion of im in re
0.747 * [backup-simplify]: Simplify im into im
0.747 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.747 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.747 * [taylor]: Taking taylor expansion of re in re
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.748 * [backup-simplify]: Simplify (* 1 1) into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [backup-simplify]: Simplify (+ 0 1) into 1
0.748 * [backup-simplify]: Simplify (sqrt 1) into 1
0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.750 * [taylor]: Taking taylor expansion of re in re
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 1 into 1
0.750 * [backup-simplify]: Simplify (/ 1 1) into 1
0.750 * [backup-simplify]: Simplify (- 1) into -1
0.751 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (- 0) into 0
0.752 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (- 0) into 0
0.756 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.756 * [backup-simplify]: Simplify (sqrt 0) into 0
0.757 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.757 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.757 * [taylor]: Taking taylor expansion of 2.0 in re
0.757 * [backup-simplify]: Simplify 2.0 into 2.0
0.757 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.758 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.758 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.758 * [taylor]: Taking taylor expansion of im in re
0.758 * [backup-simplify]: Simplify im into im
0.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.758 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.758 * [taylor]: Taking taylor expansion of re in re
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (* 1 1) into 1
0.758 * [backup-simplify]: Simplify (/ 1 1) into 1
0.759 * [backup-simplify]: Simplify (+ 0 1) into 1
0.759 * [backup-simplify]: Simplify (sqrt 1) into 1
0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (+ 0 0) into 0
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.760 * [taylor]: Taking taylor expansion of re in re
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.761 * [backup-simplify]: Simplify (/ 1 1) into 1
0.761 * [backup-simplify]: Simplify (- 1) into -1
0.761 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.762 * [backup-simplify]: Simplify (- 0) into 0
0.762 * [backup-simplify]: Simplify (+ 0 0) into 0
0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.764 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (- 0) into 0
0.765 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.766 * [backup-simplify]: Simplify (sqrt 0) into 0
0.766 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.766 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.766 * [taylor]: Taking taylor expansion of 0 in im
0.766 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.767 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 2) 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
0.768 * [backup-simplify]: Simplify (* 1 1) into 1
0.769 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.771 * [backup-simplify]: Simplify (- 0) into 0
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (+ 0 0) into 0
0.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (- 0) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.776 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.777 * [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))))
0.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.777 * [taylor]: Taking taylor expansion of +nan.0 in im
0.777 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.777 * [taylor]: Taking taylor expansion of 2.0 in im
0.777 * [backup-simplify]: Simplify 2.0 into 2.0
0.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.778 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.778 * [taylor]: Taking taylor expansion of im in im
0.778 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify 1 into 1
0.778 * [backup-simplify]: Simplify (* 1 1) into 1
0.778 * [backup-simplify]: Simplify (* 1 1) into 1
0.779 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.781 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.785 * [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
0.786 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.786 * [backup-simplify]: Simplify (- 0) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.789 * [backup-simplify]: Simplify (- 0) into 0
0.789 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.793 * [backup-simplify]: Simplify (- 0) into 0
0.793 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.794 * [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))))))
0.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.796 * [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))))))
0.796 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.796 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.796 * [taylor]: Taking taylor expansion of +nan.0 in im
0.796 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.796 * [taylor]: Taking taylor expansion of 2.0 in im
0.796 * [backup-simplify]: Simplify 2.0 into 2.0
0.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.797 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.797 * [taylor]: Taking taylor expansion of im in im
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 1 into 1
0.797 * [backup-simplify]: Simplify (* 1 1) into 1
0.797 * [backup-simplify]: Simplify (* 1 1) into 1
0.798 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.798 * [taylor]: Taking taylor expansion of +nan.0 in im
0.798 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.798 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.798 * [taylor]: Taking taylor expansion of 2.0 in im
0.798 * [backup-simplify]: Simplify 2.0 into 2.0
0.798 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.799 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.799 * [taylor]: Taking taylor expansion of im in im
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify 1 into 1
0.799 * [backup-simplify]: Simplify (* 1 1) into 1
0.799 * [backup-simplify]: Simplify (* 1 1) into 1
0.800 * [backup-simplify]: Simplify (* 1 1) into 1
0.800 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.833 * [backup-simplify]: Simplify (- 0) into 0
0.833 * [backup-simplify]: Simplify (+ 0 0) into 0
0.833 * [backup-simplify]: Simplify (- 0) into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [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)))))))
0.833 * [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
0.834 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.834 * [taylor]: Taking taylor expansion of 2.0 in im
0.834 * [backup-simplify]: Simplify 2.0 into 2.0
0.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.834 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.834 * [taylor]: Taking taylor expansion of re in im
0.834 * [backup-simplify]: Simplify re into re
0.834 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.835 * [taylor]: Taking taylor expansion of im in im
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * [backup-simplify]: Simplify (* 1 1) into 1
0.835 * [backup-simplify]: Simplify (/ 1 1) into 1
0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.835 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.835 * [taylor]: Taking taylor expansion of re in im
0.835 * [backup-simplify]: Simplify re into re
0.835 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.835 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.836 * [backup-simplify]: Simplify (+ 1 0) into 1
0.836 * [backup-simplify]: Simplify (sqrt 1) into 1
0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.837 * [backup-simplify]: Simplify (+ 0 0) into 0
0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.838 * [backup-simplify]: Simplify (+ 0 1) into 1
0.838 * [backup-simplify]: Simplify (sqrt 0) into 0
0.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.839 * [taylor]: Taking taylor expansion of 2.0 in re
0.839 * [backup-simplify]: Simplify 2.0 into 2.0
0.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.840 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.840 * [taylor]: Taking taylor expansion of re in re
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify 1 into 1
0.840 * [backup-simplify]: Simplify (/ 1 1) into 1
0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.840 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.840 * [taylor]: Taking taylor expansion of im in re
0.840 * [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
0.841 * [backup-simplify]: Simplify (sqrt 1) into 1
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.842 * [backup-simplify]: Simplify (+ 0 0) into 0
0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.843 * [backup-simplify]: Simplify (+ 1 1) into 2
0.843 * [backup-simplify]: Simplify (sqrt 0) into 0
0.844 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.844 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.844 * [taylor]: Taking taylor expansion of 2.0 in re
0.844 * [backup-simplify]: Simplify 2.0 into 2.0
0.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.845 * [taylor]: Taking taylor expansion of re in re
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.845 * [backup-simplify]: Simplify (/ 1 1) into 1
0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.845 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.845 * [taylor]: Taking taylor expansion of im in re
0.845 * [backup-simplify]: Simplify im into im
0.845 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.845 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.845 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.845 * [taylor]: Taking taylor expansion of re in re
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.846 * [backup-simplify]: Simplify (* 1 1) into 1
0.846 * [backup-simplify]: Simplify (/ 1 1) into 1
0.846 * [backup-simplify]: Simplify (+ 0 1) into 1
0.846 * [backup-simplify]: Simplify (sqrt 1) into 1
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.847 * [backup-simplify]: Simplify (+ 0 0) into 0
0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.848 * [backup-simplify]: Simplify (+ 1 1) into 2
0.848 * [backup-simplify]: Simplify (sqrt 0) into 0
0.849 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.849 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.849 * [taylor]: Taking taylor expansion of 0 in im
0.849 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.851 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.851 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.851 * [taylor]: Taking taylor expansion of +nan.0 in im
0.851 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.851 * [taylor]: Taking taylor expansion of 2.0 in im
0.851 * [backup-simplify]: Simplify 2.0 into 2.0
0.851 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.852 * [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
0.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.857 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.857 * [taylor]: Taking taylor expansion of +nan.0 in im
0.857 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.857 * [taylor]: Taking taylor expansion of 2.0 in im
0.857 * [backup-simplify]: Simplify 2.0 into 2.0
0.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.858 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.859 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.860 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.860 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.863 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.863 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.864 * [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))
0.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.866 * [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)))))
0.866 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.866 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.866 * [taylor]: Taking taylor expansion of +nan.0 in im
0.866 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.866 * [taylor]: Taking taylor expansion of 2.0 in im
0.866 * [backup-simplify]: Simplify 2.0 into 2.0
0.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.867 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.867 * [taylor]: Taking taylor expansion of im in im
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (* 1 1) into 1
0.868 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.868 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.868 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.868 * [taylor]: Taking taylor expansion of +nan.0 in im
0.868 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.868 * [taylor]: Taking taylor expansion of 2.0 in im
0.868 * [backup-simplify]: Simplify 2.0 into 2.0
0.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.871 * [backup-simplify]: Simplify (+ 0 0) into 0
0.871 * [backup-simplify]: Simplify (- 0) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.873 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.874 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.875 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.875 * [backup-simplify]: Simplify (- 0) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.877 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.878 * [backup-simplify]: Simplify (+ 0 0) into 0
0.879 * [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)))
0.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.881 * [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)))))
0.881 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.881 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.881 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.881 * [taylor]: Taking taylor expansion of +nan.0 in im
0.881 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.881 * [taylor]: Taking taylor expansion of 2.0 in im
0.881 * [backup-simplify]: Simplify 2.0 into 2.0
0.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.882 * [taylor]: Taking taylor expansion of im in im
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify (* 1 1) into 1
0.883 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.883 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.883 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) 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
0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.887 * [backup-simplify]: Simplify (+ 0 0) into 0
0.887 * [backup-simplify]: Simplify (- 0) into 0
0.887 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.890 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.890 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.891 * [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)))
0.926 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.928 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.935 * [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)))))))
0.935 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.936 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.936 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.936 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.936 * [taylor]: Taking taylor expansion of re in im
0.936 * [backup-simplify]: Simplify re into re
0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.936 * [taylor]: Taking taylor expansion of im in im
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.936 * [taylor]: Taking taylor expansion of re in re
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.936 * [taylor]: Taking taylor expansion of im in re
0.936 * [backup-simplify]: Simplify im into im
0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.936 * [taylor]: Taking taylor expansion of re in re
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.937 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.937 * [taylor]: Taking taylor expansion of im in re
0.937 * [backup-simplify]: Simplify im into im
0.937 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.937 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.937 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.937 * [taylor]: Taking taylor expansion of im in im
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.938 * [taylor]: Taking taylor expansion of 0 in im
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify (* 1 1) into 1
0.940 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.940 * [backup-simplify]: Simplify (+ 1 0) into 1
0.940 * [taylor]: Taking taylor expansion of 1 in im
0.940 * [backup-simplify]: Simplify 1 into 1
0.940 * [backup-simplify]: Simplify 1 into 1
0.940 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify (* 1 1) into 1
0.941 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.943 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.944 * [backup-simplify]: Simplify (+ 0 0) into 0
0.944 * [taylor]: Taking taylor expansion of 0 in im
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.944 * [backup-simplify]: Simplify 0 into 0
0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.948 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.948 * [taylor]: Taking taylor expansion of 0 in im
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.949 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.949 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.949 * [taylor]: Taking taylor expansion of im in im
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 1 into 1
0.950 * [backup-simplify]: Simplify (* 1 1) into 1
0.950 * [backup-simplify]: Simplify (/ 1 1) into 1
0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.950 * [taylor]: Taking taylor expansion of re in im
0.950 * [backup-simplify]: Simplify re into re
0.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.951 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.951 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.951 * [taylor]: Taking taylor expansion of im in re
0.951 * [backup-simplify]: Simplify im into im
0.951 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.951 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.951 * [taylor]: Taking taylor expansion of re in re
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify 1 into 1
0.952 * [backup-simplify]: Simplify (* 1 1) into 1
0.952 * [backup-simplify]: Simplify (/ 1 1) into 1
0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.952 * [taylor]: Taking taylor expansion of im in re
0.952 * [backup-simplify]: Simplify im into im
0.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.953 * [taylor]: Taking taylor expansion of re in re
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 1 into 1
0.953 * [backup-simplify]: Simplify (* 1 1) into 1
0.953 * [backup-simplify]: Simplify (/ 1 1) into 1
0.954 * [backup-simplify]: Simplify (+ 0 1) into 1
0.954 * [taylor]: Taking taylor expansion of 1 in im
0.954 * [backup-simplify]: Simplify 1 into 1
0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.956 * [backup-simplify]: Simplify (+ 0 0) into 0
0.956 * [taylor]: Taking taylor expansion of 0 in im
0.956 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.958 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.958 * [taylor]: Taking taylor expansion of im in im
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 1 into 1
0.958 * [backup-simplify]: Simplify (* 1 1) into 1
0.958 * [backup-simplify]: Simplify (/ 1 1) into 1
0.958 * [backup-simplify]: Simplify 1 into 1
0.959 * [backup-simplify]: Simplify 1 into 1
0.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.961 * [backup-simplify]: Simplify (+ 0 0) into 0
0.961 * [taylor]: Taking taylor expansion of 0 in im
0.961 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.962 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.966 * [backup-simplify]: Simplify (+ 0 0) into 0
0.966 * [taylor]: Taking taylor expansion of 0 in im
0.966 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
1.016 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
1.016 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.017 * [taylor]: Taking taylor expansion of im in im
1.017 * [backup-simplify]: Simplify 0 into 0
1.017 * [backup-simplify]: Simplify 1 into 1
1.018 * [backup-simplify]: Simplify (* 1 1) into 1
1.018 * [backup-simplify]: Simplify (/ 1 1) into 1
1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.018 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.018 * [taylor]: Taking taylor expansion of re in im
1.018 * [backup-simplify]: Simplify re into re
1.018 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.019 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.019 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.019 * [taylor]: Taking taylor expansion of im in re
1.019 * [backup-simplify]: Simplify im into im
1.019 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.019 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.019 * [taylor]: Taking taylor expansion of re in re
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 1 into 1
1.020 * [backup-simplify]: Simplify (* 1 1) into 1
1.020 * [backup-simplify]: Simplify (/ 1 1) into 1
1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.021 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.021 * [taylor]: Taking taylor expansion of im in re
1.021 * [backup-simplify]: Simplify im into im
1.021 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.021 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.021 * [taylor]: Taking taylor expansion of re in re
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify 1 into 1
1.022 * [backup-simplify]: Simplify (* 1 1) into 1
1.022 * [backup-simplify]: Simplify (/ 1 1) into 1
1.023 * [backup-simplify]: Simplify (+ 0 1) into 1
1.023 * [taylor]: Taking taylor expansion of 1 in im
1.023 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.025 * [backup-simplify]: Simplify (+ 0 0) into 0
1.025 * [taylor]: Taking taylor expansion of 0 in im
1.025 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.028 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.028 * [taylor]: Taking taylor expansion of im in im
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 1 into 1
1.029 * [backup-simplify]: Simplify (* 1 1) into 1
1.029 * [backup-simplify]: Simplify (/ 1 1) into 1
1.029 * [backup-simplify]: Simplify 1 into 1
1.029 * [backup-simplify]: Simplify 1 into 1
1.030 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.033 * [backup-simplify]: Simplify (+ 0 0) into 0
1.033 * [taylor]: Taking taylor expansion of 0 in im
1.033 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.035 * [backup-simplify]: Simplify 0 into 0
1.035 * [backup-simplify]: Simplify 0 into 0
1.035 * [backup-simplify]: Simplify 0 into 0
1.035 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.039 * [backup-simplify]: Simplify (+ 0 0) into 0
1.039 * [taylor]: Taking taylor expansion of 0 in im
1.039 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
1.070 * * * [progress]: simplifying candidates
1.073 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re))))))))
  0
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
1.074 * [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 (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt 2.0)
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (* 2.0 (- (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 (* 2.0 (- (* (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 (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (* -2 h1)
 (- (+ (* h2 (* (sqrt 2.0) (pow h0 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) (* h0 h1))))))))
 0
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
1.164 * * * [progress]: adding candidates to table
1.494 * * [progress]: iteration 2 / 4
1.494 * * * [progress]: picking best candidate
1.524 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.524 * * * [progress]: localizing error
1.560 * * * [progress]: generating rewritten candidates
1.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.576 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.679 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.760 * * * [progress]: generating series expansions
1.760 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.760 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.760 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.760 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.760 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.760 * [taylor]: Taking taylor expansion of re in im
1.760 * [backup-simplify]: Simplify re into re
1.760 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.760 * [taylor]: Taking taylor expansion of im in im
1.760 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.761 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.761 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.761 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.761 * [backup-simplify]: Simplify (+ 0 0) into 0
1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.762 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.762 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.762 * [taylor]: Taking taylor expansion of re in re
1.762 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify 1 into 1
1.762 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.762 * [taylor]: Taking taylor expansion of im in re
1.762 * [backup-simplify]: Simplify im into im
1.762 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.762 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.762 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.762 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.762 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.762 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.762 * [taylor]: Taking taylor expansion of re in re
1.762 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.763 * [taylor]: Taking taylor expansion of im in re
1.763 * [backup-simplify]: Simplify im into im
1.763 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.763 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.763 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.763 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.763 * [backup-simplify]: Simplify (+ 0 0) into 0
1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.763 * [taylor]: Taking taylor expansion of im in im
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [taylor]: Taking taylor expansion of 0 in im
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.764 * [backup-simplify]: Simplify (* 1 1) into 1
1.764 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.764 * [backup-simplify]: Simplify (+ 1 0) into 1
1.765 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.765 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.765 * [taylor]: Taking taylor expansion of 1/2 in im
1.765 * [backup-simplify]: Simplify 1/2 into 1/2
1.765 * [taylor]: Taking taylor expansion of im in im
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.767 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.767 * [backup-simplify]: Simplify (+ 0 0) into 0
1.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.767 * [taylor]: Taking taylor expansion of 0 in im
1.767 * [backup-simplify]: Simplify 0 into 0
1.767 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.768 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.768 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.768 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.768 * [taylor]: Taking taylor expansion of im in im
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (* 1 1) into 1
1.769 * [backup-simplify]: Simplify (/ 1 1) into 1
1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.769 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.769 * [taylor]: Taking taylor expansion of re in im
1.769 * [backup-simplify]: Simplify re into re
1.769 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.769 * [backup-simplify]: Simplify (+ 1 0) into 1
1.769 * [backup-simplify]: Simplify (sqrt 1) into 1
1.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.771 * [taylor]: Taking taylor expansion of im in re
1.771 * [backup-simplify]: Simplify im into im
1.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.771 * [taylor]: Taking taylor expansion of re in re
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (* 1 1) into 1
1.772 * [backup-simplify]: Simplify (/ 1 1) into 1
1.772 * [backup-simplify]: Simplify (+ 0 1) into 1
1.772 * [backup-simplify]: Simplify (sqrt 1) into 1
1.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.773 * [backup-simplify]: Simplify (+ 0 0) into 0
1.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.774 * [taylor]: Taking taylor expansion of im in re
1.774 * [backup-simplify]: Simplify im into im
1.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.774 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.774 * [taylor]: Taking taylor expansion of re in re
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify 1 into 1
1.774 * [backup-simplify]: Simplify (* 1 1) into 1
1.775 * [backup-simplify]: Simplify (/ 1 1) into 1
1.775 * [backup-simplify]: Simplify (+ 0 1) into 1
1.775 * [backup-simplify]: Simplify (sqrt 1) into 1
1.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ 0 0) into 0
1.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.777 * [taylor]: Taking taylor expansion of 1 in im
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [taylor]: Taking taylor expansion of 0 in im
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.778 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.779 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.779 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.779 * [taylor]: Taking taylor expansion of 1/2 in im
1.779 * [backup-simplify]: Simplify 1/2 into 1/2
1.779 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.779 * [taylor]: Taking taylor expansion of im in im
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (* 1 1) into 1
1.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.783 * [taylor]: Taking taylor expansion of 0 in im
1.783 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.785 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.785 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.785 * [taylor]: Taking taylor expansion of im in im
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 1 into 1
1.785 * [backup-simplify]: Simplify (* 1 1) into 1
1.785 * [backup-simplify]: Simplify (/ 1 1) into 1
1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.786 * [taylor]: Taking taylor expansion of re in im
1.786 * [backup-simplify]: Simplify re into re
1.786 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.786 * [backup-simplify]: Simplify (+ 1 0) into 1
1.787 * [backup-simplify]: Simplify (sqrt 1) into 1
1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.788 * [taylor]: Taking taylor expansion of im in re
1.788 * [backup-simplify]: Simplify im into im
1.789 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.789 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.789 * [taylor]: Taking taylor expansion of re in re
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [backup-simplify]: Simplify (* 1 1) into 1
1.789 * [backup-simplify]: Simplify (/ 1 1) into 1
1.794 * [backup-simplify]: Simplify (+ 0 1) into 1
1.795 * [backup-simplify]: Simplify (sqrt 1) into 1
1.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.796 * [backup-simplify]: Simplify (+ 0 0) into 0
1.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.796 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.796 * [taylor]: Taking taylor expansion of im in re
1.796 * [backup-simplify]: Simplify im into im
1.797 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.797 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.797 * [taylor]: Taking taylor expansion of re in re
1.797 * [backup-simplify]: Simplify 0 into 0
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [backup-simplify]: Simplify (* 1 1) into 1
1.797 * [backup-simplify]: Simplify (/ 1 1) into 1
1.798 * [backup-simplify]: Simplify (+ 0 1) into 1
1.798 * [backup-simplify]: Simplify (sqrt 1) into 1
1.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.799 * [backup-simplify]: Simplify (+ 0 0) into 0
1.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.799 * [taylor]: Taking taylor expansion of 1 in im
1.800 * [backup-simplify]: Simplify 1 into 1
1.800 * [taylor]: Taking taylor expansion of 0 in im
1.800 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify 1 into 1
1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.802 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.802 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.802 * [taylor]: Taking taylor expansion of 1/2 in im
1.802 * [backup-simplify]: Simplify 1/2 into 1/2
1.802 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.802 * [taylor]: Taking taylor expansion of im in im
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (* 1 1) into 1
1.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.806 * [backup-simplify]: Simplify (+ 0 0) into 0
1.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.806 * [taylor]: Taking taylor expansion of 0 in im
1.806 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
1.808 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
1.808 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.808 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.808 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.808 * [taylor]: Taking taylor expansion of re in im
1.808 * [backup-simplify]: Simplify re into re
1.808 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.808 * [taylor]: Taking taylor expansion of im in im
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.808 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.808 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.808 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.808 * [backup-simplify]: Simplify (+ 0 0) into 0
1.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.809 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.809 * [taylor]: Taking taylor expansion of re in re
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 1 into 1
1.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.809 * [taylor]: Taking taylor expansion of im in re
1.809 * [backup-simplify]: Simplify im into im
1.809 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.809 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.809 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.809 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.810 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.810 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.810 * [taylor]: Taking taylor expansion of re in re
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.810 * [taylor]: Taking taylor expansion of im in re
1.810 * [backup-simplify]: Simplify im into im
1.810 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.810 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.810 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.810 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.810 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.810 * [taylor]: Taking taylor expansion of im in im
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [taylor]: Taking taylor expansion of 0 in im
1.810 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify 1 into 1
1.811 * [backup-simplify]: Simplify (* 1 1) into 1
1.811 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.811 * [backup-simplify]: Simplify (+ 1 0) into 1
1.812 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.812 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.812 * [taylor]: Taking taylor expansion of 1/2 in im
1.812 * [backup-simplify]: Simplify 1/2 into 1/2
1.812 * [taylor]: Taking taylor expansion of im in im
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.814 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.814 * [taylor]: Taking taylor expansion of 0 in im
1.814 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.815 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.815 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.815 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.815 * [taylor]: Taking taylor expansion of im in im
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 1 into 1
1.815 * [backup-simplify]: Simplify (* 1 1) into 1
1.816 * [backup-simplify]: Simplify (/ 1 1) into 1
1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.816 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.816 * [taylor]: Taking taylor expansion of re in im
1.816 * [backup-simplify]: Simplify re into re
1.816 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.816 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.816 * [backup-simplify]: Simplify (+ 1 0) into 1
1.816 * [backup-simplify]: Simplify (sqrt 1) into 1
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.818 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.818 * [taylor]: Taking taylor expansion of im in re
1.818 * [backup-simplify]: Simplify im into im
1.818 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.819 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.819 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.819 * [taylor]: Taking taylor expansion of re in re
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 1 into 1
1.819 * [backup-simplify]: Simplify (* 1 1) into 1
1.819 * [backup-simplify]: Simplify (/ 1 1) into 1
1.820 * [backup-simplify]: Simplify (+ 0 1) into 1
1.820 * [backup-simplify]: Simplify (sqrt 1) into 1
1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.823 * [taylor]: Taking taylor expansion of im in re
1.823 * [backup-simplify]: Simplify im into im
1.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.823 * [taylor]: Taking taylor expansion of re in re
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.824 * [backup-simplify]: Simplify (* 1 1) into 1
1.824 * [backup-simplify]: Simplify (/ 1 1) into 1
1.825 * [backup-simplify]: Simplify (+ 0 1) into 1
1.825 * [backup-simplify]: Simplify (sqrt 1) into 1
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.828 * [taylor]: Taking taylor expansion of 1 in im
1.828 * [backup-simplify]: Simplify 1 into 1
1.828 * [taylor]: Taking taylor expansion of 0 in im
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 1 into 1
1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.830 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.831 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.831 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.831 * [taylor]: Taking taylor expansion of 1/2 in im
1.831 * [backup-simplify]: Simplify 1/2 into 1/2
1.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.831 * [taylor]: Taking taylor expansion of im in im
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 1 into 1
1.832 * [backup-simplify]: Simplify (* 1 1) into 1
1.832 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.838 * [taylor]: Taking taylor expansion of 0 in im
1.838 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.840 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
1.840 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.841 * [taylor]: Taking taylor expansion of im in im
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (* 1 1) into 1
1.841 * [backup-simplify]: Simplify (/ 1 1) into 1
1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.841 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.842 * [taylor]: Taking taylor expansion of re in im
1.842 * [backup-simplify]: Simplify re into re
1.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.842 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.842 * [backup-simplify]: Simplify (+ 1 0) into 1
1.843 * [backup-simplify]: Simplify (sqrt 1) into 1
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.845 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.845 * [taylor]: Taking taylor expansion of im in re
1.845 * [backup-simplify]: Simplify im into im
1.845 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.846 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.846 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.846 * [taylor]: Taking taylor expansion of re in re
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 1 into 1
1.846 * [backup-simplify]: Simplify (* 1 1) into 1
1.846 * [backup-simplify]: Simplify (/ 1 1) into 1
1.847 * [backup-simplify]: Simplify (+ 0 1) into 1
1.847 * [backup-simplify]: Simplify (sqrt 1) into 1
1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.849 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.850 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.850 * [taylor]: Taking taylor expansion of im in re
1.850 * [backup-simplify]: Simplify im into im
1.850 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.850 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.850 * [taylor]: Taking taylor expansion of re in re
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.851 * [backup-simplify]: Simplify (* 1 1) into 1
1.851 * [backup-simplify]: Simplify (/ 1 1) into 1
1.852 * [backup-simplify]: Simplify (+ 0 1) into 1
1.852 * [backup-simplify]: Simplify (sqrt 1) into 1
1.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.854 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.855 * [taylor]: Taking taylor expansion of 1 in im
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [taylor]: Taking taylor expansion of 0 in im
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.857 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.858 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.858 * [taylor]: Taking taylor expansion of 1/2 in im
1.858 * [backup-simplify]: Simplify 1/2 into 1/2
1.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.858 * [taylor]: Taking taylor expansion of im in im
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 1 into 1
1.858 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.861 * [taylor]: Taking taylor expansion of 0 in im
1.861 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.863 * [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)
1.863 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
1.863 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.863 * [taylor]: Taking taylor expansion of re in im
1.863 * [backup-simplify]: Simplify re into re
1.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.863 * [taylor]: Taking taylor expansion of im in im
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.863 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.863 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.864 * [taylor]: Taking taylor expansion of re in im
1.864 * [backup-simplify]: Simplify re into re
1.864 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.864 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.864 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.864 * [taylor]: Taking taylor expansion of re in re
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.864 * [taylor]: Taking taylor expansion of im in re
1.864 * [backup-simplify]: Simplify im into im
1.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.864 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.864 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.864 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.865 * [taylor]: Taking taylor expansion of re in re
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.865 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.865 * [taylor]: Taking taylor expansion of re in re
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.865 * [taylor]: Taking taylor expansion of im in re
1.865 * [backup-simplify]: Simplify im into im
1.865 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.865 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.866 * [taylor]: Taking taylor expansion of re in re
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (- 0) into 0
1.866 * [backup-simplify]: Simplify (+ im 0) into im
1.866 * [taylor]: Taking taylor expansion of im in im
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify (- 1) into -1
1.867 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.867 * [taylor]: Taking taylor expansion of -1 in im
1.867 * [backup-simplify]: Simplify -1 into -1
1.867 * [backup-simplify]: Simplify -1 into -1
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* 1 1) into 1
1.867 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.867 * [backup-simplify]: Simplify (+ 1 0) into 1
1.868 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.868 * [backup-simplify]: Simplify (- 0) into 0
1.868 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
1.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
1.868 * [taylor]: Taking taylor expansion of 1/2 in im
1.868 * [backup-simplify]: Simplify 1/2 into 1/2
1.868 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.868 * [taylor]: Taking taylor expansion of im in im
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 1 into 1
1.868 * [backup-simplify]: Simplify (/ 1 1) into 1
1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.870 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.871 * [backup-simplify]: Simplify (- 0) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [taylor]: Taking taylor expansion of 0 in im
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
1.873 * [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))
1.873 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
1.873 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.873 * [taylor]: Taking taylor expansion of im in im
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [backup-simplify]: Simplify (* 1 1) into 1
1.873 * [backup-simplify]: Simplify (/ 1 1) into 1
1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.873 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.874 * [taylor]: Taking taylor expansion of re in im
1.874 * [backup-simplify]: Simplify re into re
1.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.874 * [backup-simplify]: Simplify (+ 1 0) into 1
1.874 * [backup-simplify]: Simplify (sqrt 1) into 1
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.876 * [backup-simplify]: Simplify (+ 0 0) into 0
1.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.876 * [taylor]: Taking taylor expansion of re in im
1.876 * [backup-simplify]: Simplify re into re
1.876 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.876 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.876 * [taylor]: Taking taylor expansion of im in re
1.876 * [backup-simplify]: Simplify im into im
1.876 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.876 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.877 * [taylor]: Taking taylor expansion of re in re
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (* 1 1) into 1
1.877 * [backup-simplify]: Simplify (/ 1 1) into 1
1.877 * [backup-simplify]: Simplify (+ 0 1) into 1
1.878 * [backup-simplify]: Simplify (sqrt 1) into 1
1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.879 * [taylor]: Taking taylor expansion of re in re
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (/ 1 1) into 1
1.879 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.879 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.879 * [taylor]: Taking taylor expansion of im in re
1.879 * [backup-simplify]: Simplify im into im
1.879 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.880 * [taylor]: Taking taylor expansion of re in re
1.880 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (/ 1 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.881 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.882 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.882 * [taylor]: Taking taylor expansion of re in re
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [backup-simplify]: Simplify (/ 1 1) into 1
1.883 * [backup-simplify]: Simplify (- 1) into -1
1.883 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.883 * [taylor]: Taking taylor expansion of 0 in im
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.884 * [backup-simplify]: Simplify (- 0) into 0
1.884 * [backup-simplify]: Simplify (+ 0 0) into 0
1.884 * [taylor]: Taking taylor expansion of 0 in im
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.888 * [backup-simplify]: Simplify (- 0) into 0
1.888 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
1.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.888 * [taylor]: Taking taylor expansion of 1/2 in im
1.888 * [backup-simplify]: Simplify 1/2 into 1/2
1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.888 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.888 * [taylor]: Taking taylor expansion of im in im
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [backup-simplify]: Simplify (* 1 1) into 1
1.889 * [backup-simplify]: Simplify (/ 1 1) into 1
1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.894 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.896 * [backup-simplify]: Simplify (- 0) into 0
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.896 * [taylor]: Taking taylor expansion of 0 in im
1.896 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.900 * [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)))))
1.900 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
1.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.900 * [taylor]: Taking taylor expansion of re in im
1.900 * [backup-simplify]: Simplify re into re
1.900 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.900 * [taylor]: Taking taylor expansion of im in im
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.901 * [backup-simplify]: Simplify (* 1 1) into 1
1.901 * [backup-simplify]: Simplify (/ 1 1) into 1
1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.901 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.901 * [taylor]: Taking taylor expansion of re in im
1.901 * [backup-simplify]: Simplify re into re
1.901 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.902 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.902 * [backup-simplify]: Simplify (+ 1 0) into 1
1.902 * [backup-simplify]: Simplify (sqrt 1) into 1
1.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.905 * [taylor]: Taking taylor expansion of re in re
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 1 into 1
1.905 * [backup-simplify]: Simplify (/ 1 1) into 1
1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.906 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.906 * [taylor]: Taking taylor expansion of im in re
1.906 * [backup-simplify]: Simplify im into im
1.906 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.906 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.906 * [taylor]: Taking taylor expansion of re in re
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.907 * [backup-simplify]: Simplify (* 1 1) into 1
1.907 * [backup-simplify]: Simplify (/ 1 1) into 1
1.907 * [backup-simplify]: Simplify (+ 0 1) into 1
1.908 * [backup-simplify]: Simplify (sqrt 1) into 1
1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
1.910 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.910 * [taylor]: Taking taylor expansion of re in re
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.911 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.911 * [taylor]: Taking taylor expansion of im in re
1.911 * [backup-simplify]: Simplify im into im
1.911 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.911 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.911 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.911 * [taylor]: Taking taylor expansion of re in re
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1.913 * [backup-simplify]: Simplify (+ 0 1) into 1
1.913 * [backup-simplify]: Simplify (sqrt 1) into 1
1.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.923 * [backup-simplify]: Simplify (+ 1 1) into 2
1.923 * [taylor]: Taking taylor expansion of 2 in im
1.923 * [backup-simplify]: Simplify 2 into 2
1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.925 * [backup-simplify]: Simplify (+ 0 0) into 0
1.925 * [taylor]: Taking taylor expansion of 0 in im
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 2 into 2
1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.928 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.930 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
1.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
1.930 * [taylor]: Taking taylor expansion of 1/2 in im
1.930 * [backup-simplify]: Simplify 1/2 into 1/2
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.930 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.930 * [taylor]: Taking taylor expansion of im in im
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (* 1 1) into 1
1.931 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [taylor]: Taking taylor expansion of 0 in im
1.939 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
1.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
1.943 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
1.943 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
1.943 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
1.943 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.943 * [taylor]: Taking taylor expansion of re in im
1.943 * [backup-simplify]: Simplify re into re
1.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.943 * [taylor]: Taking taylor expansion of im in im
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.944 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.944 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
1.944 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.944 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.945 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.945 * [taylor]: Taking taylor expansion of re in re
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.945 * [taylor]: Taking taylor expansion of im in re
1.945 * [backup-simplify]: Simplify im into im
1.945 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.945 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.945 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
1.946 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
1.946 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.946 * [taylor]: Taking taylor expansion of re in re
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.946 * [taylor]: Taking taylor expansion of im in re
1.946 * [backup-simplify]: Simplify im into im
1.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.946 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
1.946 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.947 * [taylor]: Taking taylor expansion of im in im
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [taylor]: Taking taylor expansion of 0 in im
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (* 1 1) into 1
1.947 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.948 * [backup-simplify]: Simplify (+ 1 0) into 1
1.948 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.948 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.948 * [taylor]: Taking taylor expansion of 1/2 in im
1.948 * [backup-simplify]: Simplify 1/2 into 1/2
1.948 * [taylor]: Taking taylor expansion of im in im
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.950 * [backup-simplify]: Simplify (+ 0 0) into 0
1.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.950 * [taylor]: Taking taylor expansion of 0 in im
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.952 * [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))))
1.952 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.952 * [taylor]: Taking taylor expansion of im in im
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (* 1 1) into 1
1.952 * [backup-simplify]: Simplify (/ 1 1) into 1
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.952 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.952 * [taylor]: Taking taylor expansion of re in im
1.952 * [backup-simplify]: Simplify re into re
1.952 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.952 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.953 * [backup-simplify]: Simplify (+ 1 0) into 1
1.953 * [backup-simplify]: Simplify (sqrt 1) into 1
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.954 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.954 * [taylor]: Taking taylor expansion of im in re
1.954 * [backup-simplify]: Simplify im into im
1.955 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.955 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.955 * [taylor]: Taking taylor expansion of re in re
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.955 * [backup-simplify]: Simplify (/ 1 1) into 1
1.956 * [backup-simplify]: Simplify (+ 0 1) into 1
1.956 * [backup-simplify]: Simplify (sqrt 1) into 1
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.959 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.959 * [taylor]: Taking taylor expansion of im in re
1.959 * [backup-simplify]: Simplify im into im
1.959 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.959 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.959 * [taylor]: Taking taylor expansion of re in re
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (* 1 1) into 1
1.959 * [backup-simplify]: Simplify (/ 1 1) into 1
1.960 * [backup-simplify]: Simplify (+ 0 1) into 1
1.960 * [backup-simplify]: Simplify (sqrt 1) into 1
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.962 * [taylor]: Taking taylor expansion of 1 in im
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [taylor]: Taking taylor expansion of 0 in im
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.963 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.964 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.964 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.964 * [taylor]: Taking taylor expansion of 1/2 in im
1.964 * [backup-simplify]: Simplify 1/2 into 1/2
1.964 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.964 * [taylor]: Taking taylor expansion of im in im
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (* 1 1) into 1
1.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.967 * [taylor]: Taking taylor expansion of 0 in im
1.967 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
1.969 * [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))))
1.969 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
1.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.969 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.969 * [taylor]: Taking taylor expansion of im in im
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (* 1 1) into 1
1.970 * [backup-simplify]: Simplify (/ 1 1) into 1
1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.970 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.970 * [taylor]: Taking taylor expansion of re in im
1.970 * [backup-simplify]: Simplify re into re
1.970 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.970 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.970 * [backup-simplify]: Simplify (+ 1 0) into 1
1.970 * [backup-simplify]: Simplify (sqrt 1) into 1
1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.972 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.972 * [taylor]: Taking taylor expansion of im in re
1.972 * [backup-simplify]: Simplify im into im
1.972 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.972 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.972 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.972 * [taylor]: Taking taylor expansion of re in re
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (* 1 1) into 1
1.973 * [backup-simplify]: Simplify (/ 1 1) into 1
1.973 * [backup-simplify]: Simplify (+ 0 1) into 1
1.973 * [backup-simplify]: Simplify (sqrt 1) into 1
1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.976 * [taylor]: Taking taylor expansion of im in re
1.976 * [backup-simplify]: Simplify im into im
1.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.976 * [taylor]: Taking taylor expansion of re in re
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [backup-simplify]: Simplify (* 1 1) into 1
1.977 * [backup-simplify]: Simplify (/ 1 1) into 1
1.977 * [backup-simplify]: Simplify (+ 0 1) into 1
1.978 * [backup-simplify]: Simplify (sqrt 1) into 1
1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.979 * [backup-simplify]: Simplify (+ 0 0) into 0
1.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.980 * [taylor]: Taking taylor expansion of 1 in im
1.980 * [backup-simplify]: Simplify 1 into 1
1.980 * [taylor]: Taking taylor expansion of 0 in im
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 1 into 1
1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.982 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
1.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
1.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
1.983 * [taylor]: Taking taylor expansion of 1/2 in im
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.983 * [taylor]: Taking taylor expansion of im in im
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (* 1 1) into 1
1.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
1.986 * [taylor]: Taking taylor expansion of 0 in im
1.986 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
1.988 * * * [progress]: simplifying candidates
1.990 * [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 im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (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))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
1.991 * [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 (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1))
 (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (exp (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (* (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (- (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (- h1)
 (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))
 (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- h1)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ 1 1)
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0)))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0)))
 (+ 1 1)
 (+ (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (log (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (exp (* (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 (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (cbrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (cbrt (* (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 (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (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 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (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)) (* (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (cbrt (+ (* 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 1)) (sqrt (sqrt 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 1) (sqrt 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))))))
 (* 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)
2.090 * * * [progress]: adding candidates to table
2.551 * * [progress]: iteration 3 / 4
2.551 * * * [progress]: picking best candidate
2.570 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>
2.570 * * * [progress]: localizing error
2.593 * * * [progress]: generating rewritten candidates
2.594 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1)
2.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
2.614 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
2.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.690 * * * [progress]: generating series expansions
2.690 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1)
2.690 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
2.690 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
2.690 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.690 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.690 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.690 * [taylor]: Taking taylor expansion of re in im
2.690 * [backup-simplify]: Simplify re into re
2.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.690 * [taylor]: Taking taylor expansion of im in im
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.691 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.691 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.691 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.691 * [backup-simplify]: Simplify (+ 0 0) into 0
2.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.691 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.691 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.691 * [taylor]: Taking taylor expansion of re in re
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 1 into 1
2.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.692 * [taylor]: Taking taylor expansion of im in re
2.692 * [backup-simplify]: Simplify im into im
2.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.692 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.692 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.692 * [backup-simplify]: Simplify (+ 0 0) into 0
2.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.692 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.692 * [taylor]: Taking taylor expansion of re in re
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify 1 into 1
2.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.692 * [taylor]: Taking taylor expansion of im in re
2.692 * [backup-simplify]: Simplify im into im
2.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.692 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.693 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.693 * [taylor]: Taking taylor expansion of im in im
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [taylor]: Taking taylor expansion of 0 in im
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify (* 1 1) into 1
2.694 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.694 * [backup-simplify]: Simplify (+ 1 0) into 1
2.694 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.695 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.695 * [taylor]: Taking taylor expansion of 1/2 in im
2.695 * [backup-simplify]: Simplify 1/2 into 1/2
2.695 * [taylor]: Taking taylor expansion of im in im
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.696 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.697 * [taylor]: Taking taylor expansion of 0 in im
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.698 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.698 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.698 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.698 * [taylor]: Taking taylor expansion of im in im
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (* 1 1) into 1
2.698 * [backup-simplify]: Simplify (/ 1 1) into 1
2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.698 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.698 * [taylor]: Taking taylor expansion of re in im
2.698 * [backup-simplify]: Simplify re into re
2.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.698 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.699 * [backup-simplify]: Simplify (+ 1 0) into 1
2.699 * [backup-simplify]: Simplify (sqrt 1) into 1
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.701 * [taylor]: Taking taylor expansion of im in re
2.701 * [backup-simplify]: Simplify im into im
2.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.701 * [taylor]: Taking taylor expansion of re in re
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (* 1 1) into 1
2.701 * [backup-simplify]: Simplify (/ 1 1) into 1
2.702 * [backup-simplify]: Simplify (+ 0 1) into 1
2.702 * [backup-simplify]: Simplify (sqrt 1) into 1
2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.703 * [taylor]: Taking taylor expansion of im in re
2.703 * [backup-simplify]: Simplify im into im
2.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.703 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.704 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.704 * [taylor]: Taking taylor expansion of re in re
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (* 1 1) into 1
2.704 * [backup-simplify]: Simplify (/ 1 1) into 1
2.704 * [backup-simplify]: Simplify (+ 0 1) into 1
2.705 * [backup-simplify]: Simplify (sqrt 1) into 1
2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.706 * [taylor]: Taking taylor expansion of 1 in im
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of 0 in im
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.708 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.708 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.708 * [taylor]: Taking taylor expansion of 1/2 in im
2.708 * [backup-simplify]: Simplify 1/2 into 1/2
2.708 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.708 * [taylor]: Taking taylor expansion of im in im
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (* 1 1) into 1
2.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.712 * [taylor]: Taking taylor expansion of 0 in im
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.713 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
2.714 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.714 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.714 * [taylor]: Taking taylor expansion of im in im
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (* 1 1) into 1
2.714 * [backup-simplify]: Simplify (/ 1 1) into 1
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.714 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.714 * [taylor]: Taking taylor expansion of re in im
2.714 * [backup-simplify]: Simplify re into re
2.714 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.715 * [backup-simplify]: Simplify (+ 1 0) into 1
2.715 * [backup-simplify]: Simplify (sqrt 1) into 1
2.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.716 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.716 * [taylor]: Taking taylor expansion of im in re
2.716 * [backup-simplify]: Simplify im into im
2.716 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.717 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.717 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.717 * [taylor]: Taking taylor expansion of re in re
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 1 into 1
2.717 * [backup-simplify]: Simplify (* 1 1) into 1
2.717 * [backup-simplify]: Simplify (/ 1 1) into 1
2.718 * [backup-simplify]: Simplify (+ 0 1) into 1
2.718 * [backup-simplify]: Simplify (sqrt 1) into 1
2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.719 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.719 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.719 * [taylor]: Taking taylor expansion of im in re
2.719 * [backup-simplify]: Simplify im into im
2.719 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.720 * [taylor]: Taking taylor expansion of re in re
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (* 1 1) into 1
2.720 * [backup-simplify]: Simplify (/ 1 1) into 1
2.720 * [backup-simplify]: Simplify (+ 0 1) into 1
2.721 * [backup-simplify]: Simplify (sqrt 1) into 1
2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.722 * [backup-simplify]: Simplify (+ 0 0) into 0
2.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.722 * [taylor]: Taking taylor expansion of 1 in im
2.722 * [backup-simplify]: Simplify 1 into 1
2.722 * [taylor]: Taking taylor expansion of 0 in im
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.723 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.724 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.724 * [taylor]: Taking taylor expansion of 1/2 in im
2.724 * [backup-simplify]: Simplify 1/2 into 1/2
2.724 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.724 * [taylor]: Taking taylor expansion of im in im
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (* 1 1) into 1
2.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.728 * [taylor]: Taking taylor expansion of 0 in im
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.729 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
2.729 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)))
2.729 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0
2.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
2.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.729 * [taylor]: Taking taylor expansion of 2.0 in im
2.729 * [backup-simplify]: Simplify 2.0 into 2.0
2.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.730 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
2.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
2.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.730 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.730 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.730 * [taylor]: Taking taylor expansion of re in im
2.730 * [backup-simplify]: Simplify re into re
2.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.730 * [taylor]: Taking taylor expansion of im in im
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.730 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.730 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.730 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.731 * [backup-simplify]: Simplify (+ 0 0) into 0
2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.731 * [taylor]: Taking taylor expansion of re in im
2.731 * [backup-simplify]: Simplify re into re
2.731 * [backup-simplify]: Simplify (- re) into (- re)
2.731 * [backup-simplify]: Simplify (+ re (- re)) into 0
2.731 * [backup-simplify]: Simplify (- 0) into 0
2.735 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.736 * [backup-simplify]: Simplify (* 1 1) into 1
2.736 * [backup-simplify]: Simplify (+ 0 1) into 1
2.737 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.737 * [backup-simplify]: Simplify (- 0) into 0
2.737 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
2.737 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
2.738 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.738 * [backup-simplify]: Simplify (+ 0 0) into 0
2.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.739 * [backup-simplify]: Simplify (- 0) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
2.739 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
2.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.739 * [taylor]: Taking taylor expansion of 2.0 in re
2.739 * [backup-simplify]: Simplify 2.0 into 2.0
2.739 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.740 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
2.740 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.740 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.740 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.740 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.740 * [taylor]: Taking taylor expansion of re in re
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.740 * [taylor]: Taking taylor expansion of im in re
2.740 * [backup-simplify]: Simplify im into im
2.740 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.740 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.741 * [taylor]: Taking taylor expansion of re in re
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (- 0) into 0
2.741 * [backup-simplify]: Simplify (+ im 0) into im
2.741 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.741 * [backup-simplify]: Simplify (- 1) into -1
2.741 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.741 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
2.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
2.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.742 * [taylor]: Taking taylor expansion of 2.0 in re
2.742 * [backup-simplify]: Simplify 2.0 into 2.0
2.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.742 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
2.742 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.742 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.742 * [taylor]: Taking taylor expansion of re in re
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.742 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.742 * [taylor]: Taking taylor expansion of im in re
2.742 * [backup-simplify]: Simplify im into im
2.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.743 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.743 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.743 * [taylor]: Taking taylor expansion of re in re
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (- 0) into 0
2.743 * [backup-simplify]: Simplify (+ im 0) into im
2.744 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.744 * [backup-simplify]: Simplify (- 1) into -1
2.744 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.744 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
2.744 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
2.744 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.744 * [taylor]: Taking taylor expansion of 2.0 in im
2.744 * [backup-simplify]: Simplify 2.0 into 2.0
2.745 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.745 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.745 * [taylor]: Taking taylor expansion of im in im
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (sqrt 0) into 0
2.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.748 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.748 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.749 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
2.749 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
2.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.749 * [taylor]: Taking taylor expansion of 1/2 in im
2.749 * [backup-simplify]: Simplify 1/2 into 1/2
2.749 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.749 * [taylor]: Taking taylor expansion of 2.0 in im
2.749 * [backup-simplify]: Simplify 2.0 into 2.0
2.749 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.750 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.750 * [taylor]: Taking taylor expansion of im in im
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (/ 1 1) into 1
2.750 * [backup-simplify]: Simplify (sqrt 0) into 0
2.751 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.757 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.757 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.760 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.761 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.765 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.767 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.767 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.770 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re))))))))
2.771 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) 3)) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
2.771 * [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
2.771 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
2.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.771 * [taylor]: Taking taylor expansion of 2.0 in im
2.771 * [backup-simplify]: Simplify 2.0 into 2.0
2.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.772 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
2.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.772 * [taylor]: Taking taylor expansion of im in im
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify (* 1 1) into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.772 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.772 * [taylor]: Taking taylor expansion of re in im
2.772 * [backup-simplify]: Simplify re into re
2.772 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.772 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.773 * [backup-simplify]: Simplify (+ 1 0) into 1
2.773 * [backup-simplify]: Simplify (sqrt 1) into 1
2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ 0 0) into 0
2.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.774 * [taylor]: Taking taylor expansion of re in im
2.774 * [backup-simplify]: Simplify re into re
2.775 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.775 * [backup-simplify]: Simplify (+ 1 0) into 1
2.775 * [backup-simplify]: Simplify (sqrt 0) into 0
2.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.776 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.776 * [taylor]: Taking taylor expansion of 2.0 in re
2.776 * [backup-simplify]: Simplify 2.0 into 2.0
2.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.777 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.777 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.777 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.777 * [taylor]: Taking taylor expansion of im in re
2.777 * [backup-simplify]: Simplify im into im
2.777 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.777 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.777 * [taylor]: Taking taylor expansion of re in re
2.777 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify 1 into 1
2.777 * [backup-simplify]: Simplify (* 1 1) into 1
2.778 * [backup-simplify]: Simplify (/ 1 1) into 1
2.778 * [backup-simplify]: Simplify (+ 0 1) into 1
2.778 * [backup-simplify]: Simplify (sqrt 1) into 1
2.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.780 * [taylor]: Taking taylor expansion of re in re
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 1 into 1
2.780 * [backup-simplify]: Simplify (/ 1 1) into 1
2.780 * [backup-simplify]: Simplify (- 1) into -1
2.780 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (- 0) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify (- 0) into 0
2.784 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.784 * [backup-simplify]: Simplify (sqrt 0) into 0
2.785 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
2.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.785 * [taylor]: Taking taylor expansion of 2.0 in re
2.785 * [backup-simplify]: Simplify 2.0 into 2.0
2.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.786 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
2.786 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.786 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.786 * [taylor]: Taking taylor expansion of im in re
2.786 * [backup-simplify]: Simplify im into im
2.786 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.786 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.786 * [taylor]: Taking taylor expansion of re in re
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (* 1 1) into 1
2.787 * [backup-simplify]: Simplify (/ 1 1) into 1
2.787 * [backup-simplify]: Simplify (+ 0 1) into 1
2.787 * [backup-simplify]: Simplify (sqrt 1) into 1
2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.788 * [backup-simplify]: Simplify (+ 0 0) into 0
2.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.789 * [taylor]: Taking taylor expansion of re in re
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [backup-simplify]: Simplify (/ 1 1) into 1
2.789 * [backup-simplify]: Simplify (- 1) into -1
2.790 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.790 * [backup-simplify]: Simplify (- 0) into 0
2.791 * [backup-simplify]: Simplify (+ 0 0) into 0
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (- 0) into 0
2.793 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.794 * [backup-simplify]: Simplify (sqrt 0) into 0
2.794 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.794 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.794 * [taylor]: Taking taylor expansion of 0 in im
2.794 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
2.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.795 * [taylor]: Taking taylor expansion of +nan.0 in im
2.795 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.795 * [taylor]: Taking taylor expansion of 2.0 in im
2.795 * [backup-simplify]: Simplify 2.0 into 2.0
2.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.796 * [taylor]: Taking taylor expansion of im in im
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.796 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.798 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.799 * [backup-simplify]: Simplify (- 0) into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.801 * [backup-simplify]: Simplify (- 0) into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
2.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.804 * [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))))
2.804 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
2.804 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.804 * [taylor]: Taking taylor expansion of +nan.0 in im
2.804 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.804 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.804 * [taylor]: Taking taylor expansion of 2.0 in im
2.804 * [backup-simplify]: Simplify 2.0 into 2.0
2.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.805 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.805 * [taylor]: Taking taylor expansion of im in im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (* 1 1) into 1
2.805 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
2.818 * [backup-simplify]: Simplify (- 0) into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.822 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.823 * [backup-simplify]: Simplify (- 0) into 0
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.826 * [backup-simplify]: Simplify (+ 0 0) into 0
2.827 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (- 0) into 0
2.829 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
2.830 * [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))))))
2.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.833 * [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))))))
2.833 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
2.833 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
2.833 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.833 * [taylor]: Taking taylor expansion of +nan.0 in im
2.833 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.833 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.833 * [taylor]: Taking taylor expansion of 2.0 in im
2.833 * [backup-simplify]: Simplify 2.0 into 2.0
2.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.834 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.834 * [taylor]: Taking taylor expansion of im in im
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (* 1 1) into 1
2.841 * [backup-simplify]: Simplify (* 1 1) into 1
2.842 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
2.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
2.842 * [taylor]: Taking taylor expansion of +nan.0 in im
2.842 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
2.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.842 * [taylor]: Taking taylor expansion of 2.0 in im
2.842 * [backup-simplify]: Simplify 2.0 into 2.0
2.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.844 * [taylor]: Taking taylor expansion of (pow im 6) in im
2.844 * [taylor]: Taking taylor expansion of im in im
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (* 1 1) into 1
2.844 * [backup-simplify]: Simplify (* 1 1) into 1
2.845 * [backup-simplify]: Simplify (* 1 1) into 1
2.845 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
2.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
2.870 * [backup-simplify]: Simplify (- 0) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (- 0) into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) 3)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))
2.871 * [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
2.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
2.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.871 * [taylor]: Taking taylor expansion of 2.0 in im
2.871 * [backup-simplify]: Simplify 2.0 into 2.0
2.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
2.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.871 * [taylor]: Taking taylor expansion of re in im
2.871 * [backup-simplify]: Simplify re into re
2.871 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.872 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.872 * [taylor]: Taking taylor expansion of im in im
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 1 into 1
2.872 * [backup-simplify]: Simplify (* 1 1) into 1
2.872 * [backup-simplify]: Simplify (/ 1 1) into 1
2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.872 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.872 * [taylor]: Taking taylor expansion of re in im
2.872 * [backup-simplify]: Simplify re into re
2.872 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.872 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.873 * [backup-simplify]: Simplify (+ 1 0) into 1
2.873 * [backup-simplify]: Simplify (sqrt 1) into 1
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify (+ 0 0) into 0
2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.874 * [backup-simplify]: Simplify (+ 0 1) into 1
2.875 * [backup-simplify]: Simplify (sqrt 0) into 0
2.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.876 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.876 * [taylor]: Taking taylor expansion of 2.0 in re
2.876 * [backup-simplify]: Simplify 2.0 into 2.0
2.876 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.877 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.877 * [taylor]: Taking taylor expansion of re in re
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (/ 1 1) into 1
2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.877 * [taylor]: Taking taylor expansion of im in re
2.877 * [backup-simplify]: Simplify im into im
2.878 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.878 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.878 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.878 * [taylor]: Taking taylor expansion of re in re
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [backup-simplify]: Simplify (* 1 1) into 1
2.879 * [backup-simplify]: Simplify (/ 1 1) into 1
2.879 * [backup-simplify]: Simplify (+ 0 1) into 1
2.879 * [backup-simplify]: Simplify (sqrt 1) into 1
2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.881 * [backup-simplify]: Simplify (+ 0 0) into 0
2.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.882 * [backup-simplify]: Simplify (+ 1 1) into 2
2.882 * [backup-simplify]: Simplify (sqrt 0) into 0
2.883 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.883 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
2.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.883 * [taylor]: Taking taylor expansion of 2.0 in re
2.883 * [backup-simplify]: Simplify 2.0 into 2.0
2.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
2.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.885 * [taylor]: Taking taylor expansion of re in re
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.885 * [backup-simplify]: Simplify (/ 1 1) into 1
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.885 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.885 * [taylor]: Taking taylor expansion of im in re
2.885 * [backup-simplify]: Simplify im into im
2.885 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.886 * [taylor]: Taking taylor expansion of re in re
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.887 * [backup-simplify]: Simplify (+ 0 1) into 1
2.887 * [backup-simplify]: Simplify (sqrt 1) into 1
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.890 * [backup-simplify]: Simplify (+ 1 1) into 2
2.890 * [backup-simplify]: Simplify (sqrt 0) into 0
2.891 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.892 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.892 * [taylor]: Taking taylor expansion of 0 in im
2.892 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.894 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.894 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.894 * [taylor]: Taking taylor expansion of +nan.0 in im
2.894 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.894 * [taylor]: Taking taylor expansion of 2.0 in im
2.894 * [backup-simplify]: Simplify 2.0 into 2.0
2.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.895 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.899 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.902 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.902 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.902 * [taylor]: Taking taylor expansion of +nan.0 in im
2.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.902 * [taylor]: Taking taylor expansion of 2.0 in im
2.902 * [backup-simplify]: Simplify 2.0 into 2.0
2.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.904 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.905 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.907 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.907 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
2.911 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.911 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.914 * [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))
2.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.917 * [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)))))
2.917 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.917 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.917 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.917 * [taylor]: Taking taylor expansion of +nan.0 in im
2.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.917 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.917 * [taylor]: Taking taylor expansion of 2.0 in im
2.917 * [backup-simplify]: Simplify 2.0 into 2.0
2.918 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.919 * [taylor]: Taking taylor expansion of im in im
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 1 into 1
2.919 * [backup-simplify]: Simplify (* 1 1) into 1
2.920 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.920 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.920 * [taylor]: Taking taylor expansion of +nan.0 in im
2.920 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.920 * [taylor]: Taking taylor expansion of 2.0 in im
2.920 * [backup-simplify]: Simplify 2.0 into 2.0
2.921 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.924 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.924 * [backup-simplify]: Simplify (+ 0 0) into 0
2.925 * [backup-simplify]: Simplify (- 0) into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.927 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.929 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.929 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.930 * [backup-simplify]: Simplify (- 0) into 0
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.933 * [backup-simplify]: Simplify (+ 0 0) into 0
2.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.934 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [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)))
2.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.939 * [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)))))
2.939 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
2.939 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
2.939 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.939 * [taylor]: Taking taylor expansion of +nan.0 in im
2.940 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.940 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.940 * [taylor]: Taking taylor expansion of 2.0 in im
2.940 * [backup-simplify]: Simplify 2.0 into 2.0
2.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.941 * [taylor]: Taking taylor expansion of im in im
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 1 into 1
2.941 * [backup-simplify]: Simplify (* 1 1) into 1
2.942 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.942 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.942 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.942 * [taylor]: Taking taylor expansion of +nan.0 in im
2.942 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.942 * [taylor]: Taking taylor expansion of 2.0 in im
2.942 * [backup-simplify]: Simplify 2.0 into 2.0
2.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.946 * [backup-simplify]: Simplify (+ 0 0) into 0
2.947 * [backup-simplify]: Simplify (- 0) into 0
2.947 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.951 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.952 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.954 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.956 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.958 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.960 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.973 * [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)))))))
2.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
2.974 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
2.974 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
2.974 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
2.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
2.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.974 * [taylor]: Taking taylor expansion of re in im
2.974 * [backup-simplify]: Simplify re into re
2.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.974 * [taylor]: Taking taylor expansion of im in im
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 1 into 1
2.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.974 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.975 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.975 * [backup-simplify]: Simplify (+ 0 0) into 0
2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.975 * [taylor]: Taking taylor expansion of re in im
2.975 * [backup-simplify]: Simplify re into re
2.975 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.975 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.976 * [taylor]: Taking taylor expansion of re in re
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.976 * [taylor]: Taking taylor expansion of im in re
2.976 * [backup-simplify]: Simplify im into im
2.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.976 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.976 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.976 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.977 * [taylor]: Taking taylor expansion of re in re
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
2.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
2.977 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
2.977 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.977 * [taylor]: Taking taylor expansion of re in re
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.977 * [taylor]: Taking taylor expansion of im in re
2.977 * [backup-simplify]: Simplify im into im
2.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.977 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.978 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.978 * [backup-simplify]: Simplify (+ 0 0) into 0
2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.978 * [taylor]: Taking taylor expansion of re in re
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.979 * [backup-simplify]: Simplify (- 0) into 0
2.979 * [backup-simplify]: Simplify (+ im 0) into im
2.979 * [taylor]: Taking taylor expansion of im in im
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 1 into 1
2.979 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify (- 1) into -1
2.980 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.980 * [taylor]: Taking taylor expansion of -1 in im
2.980 * [backup-simplify]: Simplify -1 into -1
2.980 * [backup-simplify]: Simplify -1 into -1
2.980 * [backup-simplify]: Simplify 1 into 1
2.981 * [backup-simplify]: Simplify (* 1 1) into 1
2.981 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.982 * [backup-simplify]: Simplify (+ 1 0) into 1
2.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.983 * [backup-simplify]: Simplify (- 0) into 0
2.983 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.983 * [taylor]: Taking taylor expansion of 1/2 in im
2.983 * [backup-simplify]: Simplify 1/2 into 1/2
2.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.983 * [taylor]: Taking taylor expansion of im in im
2.983 * [backup-simplify]: Simplify 0 into 0
2.983 * [backup-simplify]: Simplify 1 into 1
2.984 * [backup-simplify]: Simplify (/ 1 1) into 1
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.987 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.988 * [backup-simplify]: Simplify (- 0) into 0
2.988 * [backup-simplify]: Simplify (+ 0 0) into 0
2.988 * [taylor]: Taking taylor expansion of 0 in im
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.991 * [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))
2.991 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
2.991 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
2.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
2.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.991 * [taylor]: Taking taylor expansion of im in im
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify 1 into 1
2.992 * [backup-simplify]: Simplify (* 1 1) into 1
2.992 * [backup-simplify]: Simplify (/ 1 1) into 1
2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.992 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.992 * [taylor]: Taking taylor expansion of re in im
2.992 * [backup-simplify]: Simplify re into re
2.992 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.993 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.993 * [backup-simplify]: Simplify (+ 1 0) into 1
2.993 * [backup-simplify]: Simplify (sqrt 1) into 1
2.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.995 * [backup-simplify]: Simplify (+ 0 0) into 0
2.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.996 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.996 * [taylor]: Taking taylor expansion of re in im
2.996 * [backup-simplify]: Simplify re into re
2.996 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.996 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
2.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
2.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
2.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.996 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.996 * [taylor]: Taking taylor expansion of im in re
2.996 * [backup-simplify]: Simplify im into im
2.996 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.997 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.997 * [taylor]: Taking taylor expansion of re in re
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (/ 1 1) into 1
2.998 * [backup-simplify]: Simplify (+ 0 1) into 1
2.999 * [backup-simplify]: Simplify (sqrt 1) into 1
2.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (+ 0 0) into 0
3.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.001 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.001 * [taylor]: Taking taylor expansion of re in re
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (/ 1 1) into 1
3.002 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.002 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.002 * [taylor]: Taking taylor expansion of im in re
3.002 * [backup-simplify]: Simplify im into im
3.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.002 * [taylor]: Taking taylor expansion of re in re
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (* 1 1) into 1
3.003 * [backup-simplify]: Simplify (/ 1 1) into 1
3.003 * [backup-simplify]: Simplify (+ 0 1) into 1
3.004 * [backup-simplify]: Simplify (sqrt 1) into 1
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.006 * [taylor]: Taking taylor expansion of re in re
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.007 * [backup-simplify]: Simplify (/ 1 1) into 1
3.007 * [backup-simplify]: Simplify (- 1) into -1
3.008 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.008 * [taylor]: Taking taylor expansion of 0 in im
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.009 * [backup-simplify]: Simplify (- 0) into 0
3.009 * [backup-simplify]: Simplify (+ 0 0) into 0
3.009 * [taylor]: Taking taylor expansion of 0 in im
3.009 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.011 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (- 0) into 0
3.014 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.014 * [taylor]: Taking taylor expansion of 1/2 in im
3.014 * [backup-simplify]: Simplify 1/2 into 1/2
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.014 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.014 * [taylor]: Taking taylor expansion of im in im
3.014 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.015 * [backup-simplify]: Simplify (* 1 1) into 1
3.015 * [backup-simplify]: Simplify (/ 1 1) into 1
3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (- 0) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [taylor]: Taking taylor expansion of 0 in im
3.023 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 0 into 0
3.027 * [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)))))
3.027 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.027 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.027 * [taylor]: Taking taylor expansion of re in im
3.027 * [backup-simplify]: Simplify re into re
3.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.027 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.027 * [taylor]: Taking taylor expansion of im in im
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify 1 into 1
3.028 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (/ 1 1) into 1
3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.028 * [taylor]: Taking taylor expansion of re in im
3.028 * [backup-simplify]: Simplify re into re
3.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.029 * [backup-simplify]: Simplify (+ 1 0) into 1
3.029 * [backup-simplify]: Simplify (sqrt 1) into 1
3.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.031 * [backup-simplify]: Simplify (+ 0 0) into 0
3.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.032 * [taylor]: Taking taylor expansion of re in re
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (/ 1 1) into 1
3.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.033 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.033 * [taylor]: Taking taylor expansion of im in re
3.033 * [backup-simplify]: Simplify im into im
3.033 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.033 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.033 * [taylor]: Taking taylor expansion of re in re
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.034 * [backup-simplify]: Simplify (/ 1 1) into 1
3.035 * [backup-simplify]: Simplify (+ 0 1) into 1
3.035 * [backup-simplify]: Simplify (sqrt 1) into 1
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ 0 0) into 0
3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.038 * [taylor]: Taking taylor expansion of re in re
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (/ 1 1) into 1
3.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.039 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.039 * [taylor]: Taking taylor expansion of im in re
3.039 * [backup-simplify]: Simplify im into im
3.039 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.039 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.039 * [taylor]: Taking taylor expansion of re in re
3.039 * [backup-simplify]: Simplify 0 into 0
3.039 * [backup-simplify]: Simplify 1 into 1
3.040 * [backup-simplify]: Simplify (* 1 1) into 1
3.040 * [backup-simplify]: Simplify (/ 1 1) into 1
3.040 * [backup-simplify]: Simplify (+ 0 1) into 1
3.041 * [backup-simplify]: Simplify (sqrt 1) into 1
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ 0 0) into 0
3.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.044 * [backup-simplify]: Simplify (+ 1 1) into 2
3.044 * [taylor]: Taking taylor expansion of 2 in im
3.044 * [backup-simplify]: Simplify 2 into 2
3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (+ 0 0) into 0
3.045 * [taylor]: Taking taylor expansion of 0 in im
3.045 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify 2 into 2
3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.050 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.050 * [taylor]: Taking taylor expansion of 1/2 in im
3.050 * [backup-simplify]: Simplify 1/2 into 1/2
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.050 * [taylor]: Taking taylor expansion of im in im
3.050 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify 1 into 1
3.051 * [backup-simplify]: Simplify (* 1 1) into 1
3.051 * [backup-simplify]: Simplify (/ 1 1) into 1
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [taylor]: Taking taylor expansion of 0 in im
3.059 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.062 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.063 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) into (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3)
3.063 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in (re im) around 0
3.063 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in im
3.063 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
3.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.063 * [taylor]: Taking taylor expansion of 2.0 in im
3.063 * [backup-simplify]: Simplify 2.0 into 2.0
3.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.065 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
3.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
3.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.065 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.065 * [taylor]: Taking taylor expansion of re in im
3.065 * [backup-simplify]: Simplify re into re
3.065 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.065 * [taylor]: Taking taylor expansion of im in im
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.065 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.065 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.065 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.065 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.066 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.066 * [taylor]: Taking taylor expansion of re in im
3.066 * [backup-simplify]: Simplify re into re
3.066 * [backup-simplify]: Simplify (- re) into (- re)
3.066 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.067 * [backup-simplify]: Simplify (- 0) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (+ 0 1) into 1
3.069 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.069 * [backup-simplify]: Simplify (- 0) into 0
3.069 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.069 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
3.070 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.071 * [backup-simplify]: Simplify (+ 0 0) into 0
3.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.072 * [backup-simplify]: Simplify (- 0) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
3.073 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
3.073 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in re
3.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
3.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.073 * [taylor]: Taking taylor expansion of 2.0 in re
3.073 * [backup-simplify]: Simplify 2.0 into 2.0
3.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.074 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
3.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.074 * [taylor]: Taking taylor expansion of re in re
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.074 * [taylor]: Taking taylor expansion of im in re
3.074 * [backup-simplify]: Simplify im into im
3.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.075 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.076 * [taylor]: Taking taylor expansion of re in re
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (- 0) into 0
3.076 * [backup-simplify]: Simplify (+ im 0) into im
3.076 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.077 * [backup-simplify]: Simplify (- 1) into -1
3.077 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.077 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.078 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.078 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 3) in re
3.078 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
3.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.078 * [taylor]: Taking taylor expansion of 2.0 in re
3.078 * [backup-simplify]: Simplify 2.0 into 2.0
3.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.079 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
3.079 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.079 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.079 * [taylor]: Taking taylor expansion of re in re
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.079 * [taylor]: Taking taylor expansion of im in re
3.079 * [backup-simplify]: Simplify im into im
3.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.079 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.080 * [taylor]: Taking taylor expansion of re in re
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (- 0) into 0
3.081 * [backup-simplify]: Simplify (+ im 0) into im
3.081 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.081 * [backup-simplify]: Simplify (- 1) into -1
3.081 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.082 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
3.082 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.083 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt im)) (* (sqrt 2.0) (sqrt im))) into (* (pow (sqrt 2.0) 2) im)
3.084 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt im)) (* (pow (sqrt 2.0) 2) im)) into (* (pow (sqrt 2.0) 3) (sqrt (pow im 3)))
3.084 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (sqrt (pow im 3))) in im
3.084 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.084 * [taylor]: Taking taylor expansion of 2.0 in im
3.084 * [backup-simplify]: Simplify 2.0 into 2.0
3.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.085 * [taylor]: Taking taylor expansion of (sqrt (pow im 3)) in im
3.085 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.086 * [taylor]: Taking taylor expansion of im in im
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [backup-simplify]: Simplify (* 1 1) into 1
3.086 * [backup-simplify]: Simplify (* 1 1) into 1
3.087 * [backup-simplify]: Simplify (sqrt 0) into 0
3.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.089 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.091 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.095 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.096 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.098 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.100 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.103 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.106 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.106 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
3.108 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt im)) (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))) (* (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) (* (sqrt 2.0) (sqrt im)))) into (- (pow (sqrt 2.0) 2))
3.112 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt im)) (- (pow (sqrt 2.0) 2))) (* (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) (* (pow (sqrt 2.0) 2) im))) into (- (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im))))
3.112 * [taylor]: Taking taylor expansion of (- (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im)))) in im
3.112 * [taylor]: Taking taylor expansion of (* 3/2 (* (pow (sqrt 2.0) 3) (sqrt im))) in im
3.112 * [taylor]: Taking taylor expansion of 3/2 in im
3.112 * [backup-simplify]: Simplify 3/2 into 3/2
3.112 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (sqrt im)) in im
3.112 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.112 * [taylor]: Taking taylor expansion of 2.0 in im
3.112 * [backup-simplify]: Simplify 2.0 into 2.0
3.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.113 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.113 * [taylor]: Taking taylor expansion of im in im
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify 1 into 1
3.113 * [backup-simplify]: Simplify (sqrt 0) into 0
3.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.116 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.117 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.120 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.133 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.134 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.137 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.138 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.141 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.142 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.146 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.150 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.154 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.154 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 3) 0) into 0
3.160 * [backup-simplify]: Simplify (+ (* 3/2 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.162 * [backup-simplify]: Simplify (- (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.163 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.168 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.169 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.171 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.173 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.178 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* im 1) 4)) (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (* (pow im 3) re)) (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* im 1) 3)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (* (pow im 3) re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 3))) (- (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 4))))))))
3.178 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) 3) into (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3)
3.178 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in (re im) around 0
3.179 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in im
3.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
3.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.179 * [taylor]: Taking taylor expansion of 2.0 in im
3.179 * [backup-simplify]: Simplify 2.0 into 2.0
3.179 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.179 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
3.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.179 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.179 * [taylor]: Taking taylor expansion of im in im
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 1 into 1
3.180 * [backup-simplify]: Simplify (* 1 1) into 1
3.180 * [backup-simplify]: Simplify (/ 1 1) into 1
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.180 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.180 * [taylor]: Taking taylor expansion of re in im
3.180 * [backup-simplify]: Simplify re into re
3.180 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.180 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.180 * [backup-simplify]: Simplify (+ 1 0) into 1
3.181 * [backup-simplify]: Simplify (sqrt 1) into 1
3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ 0 0) into 0
3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.182 * [taylor]: Taking taylor expansion of re in im
3.182 * [backup-simplify]: Simplify re into re
3.182 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.182 * [backup-simplify]: Simplify (+ 1 0) into 1
3.183 * [backup-simplify]: Simplify (sqrt 0) into 0
3.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.184 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.185 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.185 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in re
3.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
3.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.185 * [taylor]: Taking taylor expansion of 2.0 in re
3.185 * [backup-simplify]: Simplify 2.0 into 2.0
3.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.186 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
3.187 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.187 * [taylor]: Taking taylor expansion of im in re
3.187 * [backup-simplify]: Simplify im into im
3.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.187 * [taylor]: Taking taylor expansion of re in re
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify (* 1 1) into 1
3.188 * [backup-simplify]: Simplify (/ 1 1) into 1
3.188 * [backup-simplify]: Simplify (+ 0 1) into 1
3.189 * [backup-simplify]: Simplify (sqrt 1) into 1
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.190 * [taylor]: Taking taylor expansion of re in re
3.190 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.191 * [backup-simplify]: Simplify (- 1) into -1
3.191 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (- 0) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.194 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (- 0) into 0
3.195 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.195 * [backup-simplify]: Simplify (sqrt 0) into 0
3.196 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.196 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.197 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.197 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3) in re
3.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
3.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.197 * [taylor]: Taking taylor expansion of 2.0 in re
3.197 * [backup-simplify]: Simplify 2.0 into 2.0
3.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.197 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
3.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.198 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.198 * [taylor]: Taking taylor expansion of im in re
3.198 * [backup-simplify]: Simplify im into im
3.198 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.198 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.198 * [taylor]: Taking taylor expansion of re in re
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (* 1 1) into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.199 * [backup-simplify]: Simplify (+ 0 1) into 1
3.199 * [backup-simplify]: Simplify (sqrt 1) into 1
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (+ 0 0) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.200 * [taylor]: Taking taylor expansion of re in re
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (- 1) into -1
3.201 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.202 * [backup-simplify]: Simplify (- 0) into 0
3.202 * [backup-simplify]: Simplify (+ 0 0) into 0
3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (- 0) into 0
3.205 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.205 * [backup-simplify]: Simplify (sqrt 0) into 0
3.205 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.206 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.206 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.207 * [backup-simplify]: Simplify (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) into (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))
3.208 * [backup-simplify]: Simplify (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))) into (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))
3.208 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im
3.208 * [taylor]: Taking taylor expansion of +nan.0 in im
3.208 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.208 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im
3.208 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.208 * [taylor]: Taking taylor expansion of 2.0 in im
3.208 * [backup-simplify]: Simplify 2.0 into 2.0
3.209 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.209 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.209 * [taylor]: Taking taylor expansion of im in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.210 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.211 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.211 * [backup-simplify]: Simplify (* 1 1) into 1
3.211 * [backup-simplify]: Simplify (* 1 1) into 1
3.212 * [backup-simplify]: Simplify (* 1 1) into 1
3.213 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
3.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.217 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.218 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
3.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.221 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.222 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.245 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.250 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.255 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.258 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
3.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))) into 0
3.263 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (- 0) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.272 * [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))))
3.275 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) into (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))))
3.279 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))))) (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))))) into (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))))
3.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8)))) in im
3.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) in im
3.279 * [taylor]: Taking taylor expansion of +nan.0 in im
3.279 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.279 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 8)) in im
3.279 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.279 * [taylor]: Taking taylor expansion of 2.0 in im
3.279 * [backup-simplify]: Simplify 2.0 into 2.0
3.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.281 * [taylor]: Taking taylor expansion of (pow im 8) in im
3.281 * [taylor]: Taking taylor expansion of im in im
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.284 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.284 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (* 1 1) into 1
3.285 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
3.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0
3.300 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0
3.302 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
3.303 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.305 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.308 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.308 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.311 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.348 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0
3.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.366 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0
3.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0
3.373 * [backup-simplify]: Simplify (- 0) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0
3.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))))) into 0
3.397 * [backup-simplify]: Simplify 0 into 0
3.398 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.401 * [backup-simplify]: Simplify (+ 0 0) into 0
3.402 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (- 0) into 0
3.404 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.405 * [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))))))
3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.408 * [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))))))
3.414 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 8))))))
3.422 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 8))))))) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 6))))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10))))))
3.422 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10)))))) in im
3.422 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10))))) in im
3.422 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 8))) in im
3.422 * [taylor]: Taking taylor expansion of +nan.0 in im
3.422 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.423 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 8)) in im
3.423 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.423 * [taylor]: Taking taylor expansion of 2.0 in im
3.423 * [backup-simplify]: Simplify 2.0 into 2.0
3.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.424 * [taylor]: Taking taylor expansion of (pow im 8) in im
3.424 * [taylor]: Taking taylor expansion of im in im
3.424 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify 1 into 1
3.425 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.427 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.428 * [backup-simplify]: Simplify (* 1 1) into 1
3.428 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.431 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
3.431 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10)))) in im
3.431 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 10))) in im
3.431 * [taylor]: Taking taylor expansion of +nan.0 in im
3.431 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.431 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 10)) in im
3.431 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.431 * [taylor]: Taking taylor expansion of 2.0 in im
3.431 * [backup-simplify]: Simplify 2.0 into 2.0
3.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.432 * [taylor]: Taking taylor expansion of (pow im 10) in im
3.432 * [taylor]: Taking taylor expansion of im in im
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 1 into 1
3.433 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.435 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.437 * [backup-simplify]: Simplify (* 1 1) into 1
3.439 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
3.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.450 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0
3.452 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0
3.454 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
3.455 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.457 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.458 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.459 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.460 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0
3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.486 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.492 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.497 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.503 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.507 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
3.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.511 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0
3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.515 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0
3.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0
3.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))))) into 0
3.529 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))))) into 0
3.536 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0
3.538 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))) into 0
3.539 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
3.540 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.540 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.541 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.544 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))))) into 0
3.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0
3.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0
3.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0
3.589 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.594 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.601 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
3.607 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))) into 0
3.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.622 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))) into 0
3.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0
3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.629 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))))) into 0
3.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))))) into 0
3.632 * [backup-simplify]: Simplify (- 0) into 0
3.633 * [backup-simplify]: Simplify (+ 0 0) into 0
3.633 * [backup-simplify]: Simplify (- 0) into 0
3.633 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))))))) into 0
3.637 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))))))) into 0
3.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0
3.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.643 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))))))) into 0
3.643 * [backup-simplify]: Simplify (- 0) into 0
3.643 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.645 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))))) into 0
3.647 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))))))) into 0
3.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0
3.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.652 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))))))) into 0
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify (pow (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) 3) into (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3)
3.653 * [approximate]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in (re im) around 0
3.653 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in im
3.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
3.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.653 * [taylor]: Taking taylor expansion of 2.0 in im
3.653 * [backup-simplify]: Simplify 2.0 into 2.0
3.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.654 * [taylor]: Taking taylor expansion of re in im
3.654 * [backup-simplify]: Simplify re into re
3.654 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.654 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.654 * [taylor]: Taking taylor expansion of im in im
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (* 1 1) into 1
3.655 * [backup-simplify]: Simplify (/ 1 1) into 1
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)
3.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.656 * [backup-simplify]: Simplify (+ 1 0) into 1
3.656 * [backup-simplify]: Simplify (sqrt 1) into 1
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.666 * [backup-simplify]: Simplify (+ 0 0) into 0
3.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.668 * [backup-simplify]: Simplify (+ 0 1) into 1
3.668 * [backup-simplify]: Simplify (sqrt 0) into 0
3.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.670 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.672 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.672 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in re
3.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
3.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.672 * [taylor]: Taking taylor expansion of 2.0 in re
3.672 * [backup-simplify]: Simplify 2.0 into 2.0
3.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.673 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.673 * [taylor]: Taking taylor expansion of re in re
3.673 * [backup-simplify]: Simplify 0 into 0
3.673 * [backup-simplify]: Simplify 1 into 1
3.674 * [backup-simplify]: Simplify (/ 1 1) into 1
3.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.674 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.674 * [taylor]: Taking taylor expansion of im in re
3.674 * [backup-simplify]: Simplify im into im
3.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.674 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.674 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.674 * [taylor]: Taking taylor expansion of re in re
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [backup-simplify]: Simplify (+ 0 1) into 1
3.676 * [backup-simplify]: Simplify (sqrt 1) into 1
3.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ 0 0) into 0
3.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.679 * [backup-simplify]: Simplify (+ 1 1) into 2
3.679 * [backup-simplify]: Simplify (sqrt 0) into 0
3.680 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.681 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.683 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.683 * [taylor]: Taking taylor expansion of (pow (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3) in re
3.683 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
3.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.683 * [taylor]: Taking taylor expansion of 2.0 in re
3.683 * [backup-simplify]: Simplify 2.0 into 2.0
3.684 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
3.684 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.685 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.685 * [taylor]: Taking taylor expansion of re in re
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.685 * [backup-simplify]: Simplify (/ 1 1) into 1
3.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.685 * [taylor]: Taking taylor expansion of im in re
3.685 * [backup-simplify]: Simplify im into im
3.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.686 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.686 * [taylor]: Taking taylor expansion of re in re
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (* 1 1) into 1
3.686 * [backup-simplify]: Simplify (/ 1 1) into 1
3.687 * [backup-simplify]: Simplify (+ 0 1) into 1
3.687 * [backup-simplify]: Simplify (sqrt 1) into 1
3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.689 * [backup-simplify]: Simplify (+ 0 0) into 0
3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.690 * [backup-simplify]: Simplify (+ 1 1) into 2
3.690 * [backup-simplify]: Simplify (sqrt 0) into 0
3.692 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.692 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.694 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.698 * [backup-simplify]: Simplify (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) into (* +nan.0 (pow (sqrt 2.0) 2))
3.703 * [backup-simplify]: Simplify (* (- (* +nan.0 (sqrt 2.0))) (* +nan.0 (pow (sqrt 2.0) 2))) into (* +nan.0 (pow (sqrt 2.0) 3))
3.703 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
3.703 * [taylor]: Taking taylor expansion of +nan.0 in im
3.703 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.703 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.703 * [taylor]: Taking taylor expansion of 2.0 in im
3.703 * [backup-simplify]: Simplify 2.0 into 2.0
3.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.705 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.707 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.709 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
3.711 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.712 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.719 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.728 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0))))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
3.740 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (pow (sqrt 2.0) 2)))) (* (- (* +nan.0 (sqrt 2.0))) (* +nan.0 (pow (sqrt 2.0) 2)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im
3.740 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
3.740 * [taylor]: Taking taylor expansion of +nan.0 in im
3.740 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.740 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.740 * [taylor]: Taking taylor expansion of 2.0 in im
3.740 * [backup-simplify]: Simplify 2.0 into 2.0
3.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.743 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.745 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.747 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
3.749 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.751 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.752 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.753 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.754 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.757 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.758 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.759 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.760 * [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))
3.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.763 * [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)))))
3.775 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))) (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (sqrt 2.0)))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) (- (* +nan.0 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
3.791 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 2)))))) (+ (* (- (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (pow (sqrt 2.0) 2)))) (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) (* +nan.0 (pow (sqrt 2.0) 2))))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3)))))
3.791 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3))))) in im
3.791 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 3)))) in im
3.791 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 2))) in im
3.791 * [taylor]: Taking taylor expansion of +nan.0 in im
3.791 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.791 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 2)) in im
3.791 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.791 * [taylor]: Taking taylor expansion of 2.0 in im
3.791 * [backup-simplify]: Simplify 2.0 into 2.0
3.792 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.793 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.793 * [taylor]: Taking taylor expansion of im in im
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.796 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.797 * [backup-simplify]: Simplify (* 1 1) into 1
3.799 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
3.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im
3.799 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
3.799 * [taylor]: Taking taylor expansion of +nan.0 in im
3.799 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.799 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
3.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.799 * [taylor]: Taking taylor expansion of 2.0 in im
3.799 * [backup-simplify]: Simplify 2.0 into 2.0
3.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
3.805 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
3.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0
3.821 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
3.823 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
3.824 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
3.827 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.831 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.834 * [backup-simplify]: Simplify (- (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.837 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
3.844 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (* 1 (/ 1 (- re)))) (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (pow (sqrt 2.0) 3)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) re)))))))
3.844 * * * [progress]: simplifying candidates
3.847 * [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 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (exp (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (cbrt (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3))
  (cbrt (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow (sqrt 2.0) 3))
  (cbrt (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3))
  (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))
  (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (cbrt (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3))
  (cbrt (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow (sqrt 2.0) 3))
  (cbrt (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3))
  (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (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)))))
  (cbrt (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (cbrt (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (cbrt 1)
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2)))
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2)))
  (cbrt (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3))
  (cbrt (pow (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 3))
  (cbrt (pow (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 3))
  (cbrt (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3))
  (* (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))
  (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (* (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (/ (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)))) 3)
  (* (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1 2) 3)
  (* (/ 1 2) 3)
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 3))
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 1)
  (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3)
  (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow (sqrt 2.0) 3)
  (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3)
  (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow 1 3)
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (log (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (exp (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)))
  (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (* (* (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) 3)
  (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow (sqrt 2.0) 3)
  (pow (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 3)
  (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow 1 3)
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 3)
  (pow (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 3)
  (pow (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 3)
  (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 3)
  (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 3 2)
  (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2))
  (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (/ 3 2))
  im
  re
  (* -1 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)))))))
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (* (pow im 3) re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 3))) (- (* +nan.0 (* (pow (sqrt 2.0) 3) (pow im 4))))))))
  0
  (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (pow (sqrt 2.0) 3)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) re)))))))
3.849 * [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 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (exp (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (cbrt (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) 3))
 (cbrt (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow (sqrt 2.0) 3))
 (cbrt (pow (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3))
 (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow 1 3))
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (cbrt (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))))
 (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (cbrt (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) 3))
 (cbrt (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow (sqrt 2.0) 3))
 (cbrt (pow (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3))
 (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow 1 3))
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (cbrt (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (cbrt (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (cbrt 1)
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ 3 2)))
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ 3 2)))
 (cbrt (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) 3))
 (cbrt (pow (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3))
 (cbrt (pow (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) 3))
 (cbrt (pow (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3))
 (* (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))) (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))))
 (cbrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (* (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (sqrt (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (/ (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 (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (* (log (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (* (/ 1 2) 3)
 (* 1 3)
 (* (/ 1 2) 3)
 (* (/ 1 2) 3)
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (cbrt 3) (cbrt 3)))
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt 3))
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 1)
 (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) 3)
 (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow (sqrt 2.0) 3)
 (pow (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3)
 (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow 1 3)
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)
 (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (log (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (exp (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (* (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)))
 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (* (* (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3) (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)) (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (pow (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) 3)
 (pow (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow (sqrt 2.0) 3)
 (pow (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3)
 (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow 1 3)
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3)
 (pow (sqrt (* 2.0 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) 3)
 (pow (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) 3)
 (pow (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) 3)
 (pow (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 3)
 (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (/ 3 2)
 (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (sqrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 3))
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ 3 2))
 (pow (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ 3 2))
 h0
 h1
 (* -1 h1)
 (- (+ (* h2 (* (sqrt 2.0) (pow h0 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) (* h0 h1))))))))
 0
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 (- h0 h1)
 0
 (* -2 h1)
 (- (+ (* h2 (* (pow (sqrt 2.0) 3) (* (pow h0 3) h1))) (- (+ (* h2 (* (pow (sqrt 2.0) 3) (pow h0 3))) (- (* h2 (* (pow (sqrt 2.0) 3) (pow h0 4))))))))
 0
 (- (+ (* h2 (/ (pow (sqrt 2.0) 3) (pow h1 2))) (- (+ (* h2 (pow (sqrt 2.0) 3)) (- (* h2 (/ (pow (sqrt 2.0) 3) h1)))))))
3.913 * * * [progress]: adding candidates to table
4.286 * * [progress]: iteration 4 / 4
4.286 * * * [progress]: picking best candidate
4.312 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.312 * * * [progress]: localizing error
4.334 * * * [progress]: generating rewritten candidates
4.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1)
4.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
4.366 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
4.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
4.557 * * * [progress]: generating series expansions
4.557 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 2 1)
4.557 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.557 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.557 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.557 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.557 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.558 * [taylor]: Taking taylor expansion of re in im
4.558 * [backup-simplify]: Simplify re into re
4.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.558 * [taylor]: Taking taylor expansion of im in im
4.558 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify 1 into 1
4.558 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.558 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.558 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.558 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.558 * [backup-simplify]: Simplify (+ 0 0) into 0
4.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.559 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.559 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.559 * [taylor]: Taking taylor expansion of re in re
4.559 * [backup-simplify]: Simplify 0 into 0
4.559 * [backup-simplify]: Simplify 1 into 1
4.559 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.559 * [taylor]: Taking taylor expansion of im in re
4.559 * [backup-simplify]: Simplify im into im
4.559 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.559 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.559 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.559 * [backup-simplify]: Simplify (+ 0 0) into 0
4.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.559 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.559 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.559 * [taylor]: Taking taylor expansion of re in re
4.559 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.560 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.560 * [taylor]: Taking taylor expansion of im in re
4.560 * [backup-simplify]: Simplify im into im
4.560 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.560 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.560 * [backup-simplify]: Simplify (+ 0 0) into 0
4.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.560 * [taylor]: Taking taylor expansion of im in im
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [taylor]: Taking taylor expansion of 0 in im
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.561 * [backup-simplify]: Simplify (* 1 1) into 1
4.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.561 * [backup-simplify]: Simplify (+ 1 0) into 1
4.562 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.562 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.562 * [taylor]: Taking taylor expansion of 1/2 in im
4.562 * [backup-simplify]: Simplify 1/2 into 1/2
4.562 * [taylor]: Taking taylor expansion of im in im
4.562 * [backup-simplify]: Simplify 0 into 0
4.562 * [backup-simplify]: Simplify 1 into 1
4.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.564 * [backup-simplify]: Simplify (+ 0 0) into 0
4.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.564 * [taylor]: Taking taylor expansion of 0 in im
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.565 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.565 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.565 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.565 * [taylor]: Taking taylor expansion of im in im
4.565 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify 1 into 1
4.566 * [backup-simplify]: Simplify (* 1 1) into 1
4.566 * [backup-simplify]: Simplify (/ 1 1) into 1
4.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.566 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.566 * [taylor]: Taking taylor expansion of re in im
4.566 * [backup-simplify]: Simplify re into re
4.566 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.566 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.566 * [backup-simplify]: Simplify (+ 1 0) into 1
4.567 * [backup-simplify]: Simplify (sqrt 1) into 1
4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.568 * [backup-simplify]: Simplify (+ 0 0) into 0
4.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.568 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.568 * [taylor]: Taking taylor expansion of im in re
4.568 * [backup-simplify]: Simplify im into im
4.568 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.568 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.568 * [taylor]: Taking taylor expansion of re in re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 1 into 1
4.569 * [backup-simplify]: Simplify (* 1 1) into 1
4.569 * [backup-simplify]: Simplify (/ 1 1) into 1
4.569 * [backup-simplify]: Simplify (+ 0 1) into 1
4.569 * [backup-simplify]: Simplify (sqrt 1) into 1
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.570 * [backup-simplify]: Simplify (+ 0 0) into 0
4.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.571 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.571 * [taylor]: Taking taylor expansion of im in re
4.571 * [backup-simplify]: Simplify im into im
4.571 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.571 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.571 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.571 * [taylor]: Taking taylor expansion of re in re
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 1 into 1
4.572 * [backup-simplify]: Simplify (* 1 1) into 1
4.572 * [backup-simplify]: Simplify (/ 1 1) into 1
4.572 * [backup-simplify]: Simplify (+ 0 1) into 1
4.572 * [backup-simplify]: Simplify (sqrt 1) into 1
4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.573 * [backup-simplify]: Simplify (+ 0 0) into 0
4.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.574 * [taylor]: Taking taylor expansion of 1 in im
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [taylor]: Taking taylor expansion of 0 in im
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.576 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.576 * [taylor]: Taking taylor expansion of 1/2 in im
4.576 * [backup-simplify]: Simplify 1/2 into 1/2
4.576 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.576 * [taylor]: Taking taylor expansion of im in im
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (* 1 1) into 1
4.577 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.577 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.579 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.580 * [taylor]: Taking taylor expansion of 0 in im
4.580 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.581 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.581 * [taylor]: Taking taylor expansion of im in im
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 1 into 1
4.582 * [backup-simplify]: Simplify (* 1 1) into 1
4.582 * [backup-simplify]: Simplify (/ 1 1) into 1
4.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.582 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.582 * [taylor]: Taking taylor expansion of re in im
4.582 * [backup-simplify]: Simplify re into re
4.582 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.582 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.583 * [backup-simplify]: Simplify (+ 1 0) into 1
4.583 * [backup-simplify]: Simplify (sqrt 1) into 1
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.585 * [backup-simplify]: Simplify (+ 0 0) into 0
4.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.586 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.586 * [taylor]: Taking taylor expansion of im in re
4.586 * [backup-simplify]: Simplify im into im
4.586 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.586 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.586 * [taylor]: Taking taylor expansion of re in re
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 1 into 1
4.587 * [backup-simplify]: Simplify (* 1 1) into 1
4.587 * [backup-simplify]: Simplify (/ 1 1) into 1
4.588 * [backup-simplify]: Simplify (+ 0 1) into 1
4.588 * [backup-simplify]: Simplify (sqrt 1) into 1
4.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.590 * [backup-simplify]: Simplify (+ 0 0) into 0
4.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.591 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.591 * [taylor]: Taking taylor expansion of im in re
4.591 * [backup-simplify]: Simplify im into im
4.591 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.591 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.591 * [taylor]: Taking taylor expansion of re in re
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 1 into 1
4.592 * [backup-simplify]: Simplify (* 1 1) into 1
4.592 * [backup-simplify]: Simplify (/ 1 1) into 1
4.592 * [backup-simplify]: Simplify (+ 0 1) into 1
4.593 * [backup-simplify]: Simplify (sqrt 1) into 1
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.594 * [backup-simplify]: Simplify (+ 0 0) into 0
4.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.595 * [taylor]: Taking taylor expansion of 1 in im
4.595 * [backup-simplify]: Simplify 1 into 1
4.595 * [taylor]: Taking taylor expansion of 0 in im
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 1 into 1
4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.598 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.599 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.599 * [taylor]: Taking taylor expansion of 1/2 in im
4.599 * [backup-simplify]: Simplify 1/2 into 1/2
4.599 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.599 * [taylor]: Taking taylor expansion of im in im
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.600 * [backup-simplify]: Simplify (* 1 1) into 1
4.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (+ 0 0) into 0
4.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.605 * [taylor]: Taking taylor expansion of 0 in im
4.605 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
4.608 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.608 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.608 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.608 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.608 * [taylor]: Taking taylor expansion of re in im
4.608 * [backup-simplify]: Simplify re into re
4.608 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.608 * [taylor]: Taking taylor expansion of im in im
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 1 into 1
4.608 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.608 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.608 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.609 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.609 * [backup-simplify]: Simplify (+ 0 0) into 0
4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.610 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.610 * [taylor]: Taking taylor expansion of re in re
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.610 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.610 * [taylor]: Taking taylor expansion of im in re
4.610 * [backup-simplify]: Simplify im into im
4.610 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.610 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.610 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.610 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.611 * [backup-simplify]: Simplify (+ 0 0) into 0
4.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.611 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.611 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.611 * [taylor]: Taking taylor expansion of re in re
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify 1 into 1
4.611 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.611 * [taylor]: Taking taylor expansion of im in re
4.611 * [backup-simplify]: Simplify im into im
4.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.611 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.612 * [backup-simplify]: Simplify (+ 0 0) into 0
4.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.612 * [taylor]: Taking taylor expansion of im in im
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [taylor]: Taking taylor expansion of 0 in im
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.613 * [backup-simplify]: Simplify (* 1 1) into 1
4.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.614 * [backup-simplify]: Simplify (+ 1 0) into 1
4.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.614 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.615 * [taylor]: Taking taylor expansion of 1/2 in im
4.615 * [backup-simplify]: Simplify 1/2 into 1/2
4.615 * [taylor]: Taking taylor expansion of im in im
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 1 into 1
4.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.618 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.618 * [backup-simplify]: Simplify (+ 0 0) into 0
4.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.618 * [taylor]: Taking taylor expansion of 0 in im
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.620 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.620 * [taylor]: Taking taylor expansion of im in im
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 1 into 1
4.621 * [backup-simplify]: Simplify (* 1 1) into 1
4.621 * [backup-simplify]: Simplify (/ 1 1) into 1
4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.621 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.621 * [taylor]: Taking taylor expansion of re in im
4.621 * [backup-simplify]: Simplify re into re
4.621 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.622 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.622 * [backup-simplify]: Simplify (+ 1 0) into 1
4.622 * [backup-simplify]: Simplify (sqrt 1) into 1
4.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.624 * [backup-simplify]: Simplify (+ 0 0) into 0
4.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.625 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.625 * [taylor]: Taking taylor expansion of im in re
4.625 * [backup-simplify]: Simplify im into im
4.625 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.625 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.626 * [taylor]: Taking taylor expansion of re in re
4.626 * [backup-simplify]: Simplify 0 into 0
4.626 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (* 1 1) into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.627 * [backup-simplify]: Simplify (+ 0 1) into 1
4.627 * [backup-simplify]: Simplify (sqrt 1) into 1
4.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.629 * [backup-simplify]: Simplify (+ 0 0) into 0
4.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.630 * [taylor]: Taking taylor expansion of im in re
4.630 * [backup-simplify]: Simplify im into im
4.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.631 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.631 * [taylor]: Taking taylor expansion of re in re
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 1 into 1
4.631 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (/ 1 1) into 1
4.638 * [backup-simplify]: Simplify (+ 0 1) into 1
4.639 * [backup-simplify]: Simplify (sqrt 1) into 1
4.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (+ 0 0) into 0
4.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.642 * [taylor]: Taking taylor expansion of 1 in im
4.642 * [backup-simplify]: Simplify 1 into 1
4.642 * [taylor]: Taking taylor expansion of 0 in im
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify 1 into 1
4.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.644 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.645 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.646 * [taylor]: Taking taylor expansion of 1/2 in im
4.646 * [backup-simplify]: Simplify 1/2 into 1/2
4.646 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.646 * [taylor]: Taking taylor expansion of im in im
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (* 1 1) into 1
4.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.651 * [taylor]: Taking taylor expansion of 0 in im
4.651 * [backup-simplify]: Simplify 0 into 0
4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.652 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.652 * [taylor]: Taking taylor expansion of im in im
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.653 * [backup-simplify]: Simplify (* 1 1) into 1
4.653 * [backup-simplify]: Simplify (/ 1 1) into 1
4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.653 * [taylor]: Taking taylor expansion of re in im
4.653 * [backup-simplify]: Simplify re into re
4.653 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.653 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.653 * [backup-simplify]: Simplify (+ 1 0) into 1
4.654 * [backup-simplify]: Simplify (sqrt 1) into 1
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (+ 0 0) into 0
4.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.655 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.655 * [taylor]: Taking taylor expansion of im in re
4.655 * [backup-simplify]: Simplify im into im
4.655 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.655 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.655 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.655 * [taylor]: Taking taylor expansion of re in re
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (* 1 1) into 1
4.656 * [backup-simplify]: Simplify (/ 1 1) into 1
4.656 * [backup-simplify]: Simplify (+ 0 1) into 1
4.656 * [backup-simplify]: Simplify (sqrt 1) into 1
4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.658 * [taylor]: Taking taylor expansion of im in re
4.658 * [backup-simplify]: Simplify im into im
4.658 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.658 * [taylor]: Taking taylor expansion of re in re
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.659 * [backup-simplify]: Simplify (* 1 1) into 1
4.659 * [backup-simplify]: Simplify (/ 1 1) into 1
4.659 * [backup-simplify]: Simplify (+ 0 1) into 1
4.659 * [backup-simplify]: Simplify (sqrt 1) into 1
4.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.660 * [backup-simplify]: Simplify (+ 0 0) into 0
4.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.661 * [taylor]: Taking taylor expansion of 1 in im
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [taylor]: Taking taylor expansion of 0 in im
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.662 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.663 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.663 * [taylor]: Taking taylor expansion of 1/2 in im
4.663 * [backup-simplify]: Simplify 1/2 into 1/2
4.663 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.663 * [taylor]: Taking taylor expansion of im in im
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [backup-simplify]: Simplify (* 1 1) into 1
4.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.666 * [backup-simplify]: Simplify (+ 0 0) into 0
4.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.667 * [taylor]: Taking taylor expansion of 0 in im
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.668 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
4.668 * [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)
4.668 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.668 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.668 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.668 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.668 * [taylor]: Taking taylor expansion of re in im
4.668 * [backup-simplify]: Simplify re into re
4.668 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.668 * [taylor]: Taking taylor expansion of im in im
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.669 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.669 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.669 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.669 * [backup-simplify]: Simplify (+ 0 0) into 0
4.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.669 * [taylor]: Taking taylor expansion of re in im
4.669 * [backup-simplify]: Simplify re into re
4.669 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.669 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.669 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.669 * [taylor]: Taking taylor expansion of re in re
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 1 into 1
4.669 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.669 * [taylor]: Taking taylor expansion of im in re
4.670 * [backup-simplify]: Simplify im into im
4.670 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.670 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.670 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.670 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.670 * [taylor]: Taking taylor expansion of re in re
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.670 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.670 * [taylor]: Taking taylor expansion of re in re
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.670 * [taylor]: Taking taylor expansion of im in re
4.670 * [backup-simplify]: Simplify im into im
4.670 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.670 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.671 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.671 * [taylor]: Taking taylor expansion of re in re
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [backup-simplify]: Simplify (- 0) into 0
4.671 * [backup-simplify]: Simplify (+ im 0) into im
4.671 * [taylor]: Taking taylor expansion of im in im
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify (- 1) into -1
4.672 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.672 * [taylor]: Taking taylor expansion of -1 in im
4.672 * [backup-simplify]: Simplify -1 into -1
4.672 * [backup-simplify]: Simplify -1 into -1
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.673 * [backup-simplify]: Simplify (+ 1 0) into 1
4.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.674 * [backup-simplify]: Simplify (- 0) into 0
4.674 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.674 * [taylor]: Taking taylor expansion of 1/2 in im
4.674 * [backup-simplify]: Simplify 1/2 into 1/2
4.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.674 * [taylor]: Taking taylor expansion of im in im
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify 1 into 1
4.674 * [backup-simplify]: Simplify (/ 1 1) into 1
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.676 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.677 * [backup-simplify]: Simplify (- 0) into 0
4.677 * [backup-simplify]: Simplify (+ 0 0) into 0
4.677 * [taylor]: Taking taylor expansion of 0 in im
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.678 * [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))
4.678 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.679 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.679 * [taylor]: Taking taylor expansion of im in im
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.679 * [backup-simplify]: Simplify (* 1 1) into 1
4.679 * [backup-simplify]: Simplify (/ 1 1) into 1
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.679 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.679 * [taylor]: Taking taylor expansion of re in im
4.679 * [backup-simplify]: Simplify re into re
4.679 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.679 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.680 * [backup-simplify]: Simplify (+ 1 0) into 1
4.680 * [backup-simplify]: Simplify (sqrt 1) into 1
4.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.681 * [taylor]: Taking taylor expansion of re in im
4.681 * [backup-simplify]: Simplify re into re
4.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.682 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.682 * [taylor]: Taking taylor expansion of im in re
4.682 * [backup-simplify]: Simplify im into im
4.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.682 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.682 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.682 * [taylor]: Taking taylor expansion of re in re
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [backup-simplify]: Simplify (+ 0 1) into 1
4.684 * [backup-simplify]: Simplify (sqrt 1) into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.686 * [taylor]: Taking taylor expansion of re in re
4.686 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.687 * [backup-simplify]: Simplify (/ 1 1) into 1
4.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.687 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.687 * [taylor]: Taking taylor expansion of im in re
4.687 * [backup-simplify]: Simplify im into im
4.687 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.687 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.687 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.687 * [taylor]: Taking taylor expansion of re in re
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (* 1 1) into 1
4.688 * [backup-simplify]: Simplify (/ 1 1) into 1
4.688 * [backup-simplify]: Simplify (+ 0 1) into 1
4.689 * [backup-simplify]: Simplify (sqrt 1) into 1
4.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.691 * [taylor]: Taking taylor expansion of re in re
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.692 * [backup-simplify]: Simplify (/ 1 1) into 1
4.692 * [backup-simplify]: Simplify (- 1) into -1
4.693 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.693 * [taylor]: Taking taylor expansion of 0 in im
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.694 * [backup-simplify]: Simplify (- 0) into 0
4.694 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [taylor]: Taking taylor expansion of 0 in im
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.695 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.696 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (- 0) into 0
4.697 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.697 * [taylor]: Taking taylor expansion of 1/2 in im
4.697 * [backup-simplify]: Simplify 1/2 into 1/2
4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.697 * [taylor]: Taking taylor expansion of im in im
4.697 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify 1 into 1
4.697 * [backup-simplify]: Simplify (* 1 1) into 1
4.698 * [backup-simplify]: Simplify (/ 1 1) into 1
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.702 * [backup-simplify]: Simplify (- 0) into 0
4.702 * [backup-simplify]: Simplify (+ 0 0) into 0
4.702 * [taylor]: Taking taylor expansion of 0 in im
4.702 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [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)))))
4.704 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.704 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.705 * [taylor]: Taking taylor expansion of re in im
4.705 * [backup-simplify]: Simplify re into re
4.705 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.705 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.705 * [taylor]: Taking taylor expansion of im in im
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 1 into 1
4.705 * [backup-simplify]: Simplify (* 1 1) into 1
4.705 * [backup-simplify]: Simplify (/ 1 1) into 1
4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.705 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.705 * [taylor]: Taking taylor expansion of re in im
4.705 * [backup-simplify]: Simplify re into re
4.705 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.705 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.706 * [backup-simplify]: Simplify (+ 1 0) into 1
4.706 * [backup-simplify]: Simplify (sqrt 1) into 1
4.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.708 * [taylor]: Taking taylor expansion of re in re
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (/ 1 1) into 1
4.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.708 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.708 * [taylor]: Taking taylor expansion of im in re
4.708 * [backup-simplify]: Simplify im into im
4.708 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.708 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.708 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.708 * [taylor]: Taking taylor expansion of re in re
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (* 1 1) into 1
4.709 * [backup-simplify]: Simplify (/ 1 1) into 1
4.709 * [backup-simplify]: Simplify (+ 0 1) into 1
4.709 * [backup-simplify]: Simplify (sqrt 1) into 1
4.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.710 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.711 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.711 * [taylor]: Taking taylor expansion of re in re
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify (/ 1 1) into 1
4.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.711 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.711 * [taylor]: Taking taylor expansion of im in re
4.711 * [backup-simplify]: Simplify im into im
4.711 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.712 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.712 * [taylor]: Taking taylor expansion of re in re
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify (* 1 1) into 1
4.712 * [backup-simplify]: Simplify (/ 1 1) into 1
4.712 * [backup-simplify]: Simplify (+ 0 1) into 1
4.713 * [backup-simplify]: Simplify (sqrt 1) into 1
4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.714 * [backup-simplify]: Simplify (+ 1 1) into 2
4.714 * [taylor]: Taking taylor expansion of 2 in im
4.714 * [backup-simplify]: Simplify 2 into 2
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (+ 0 0) into 0
4.715 * [taylor]: Taking taylor expansion of 0 in im
4.715 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify 2 into 2
4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.718 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.718 * [taylor]: Taking taylor expansion of 1/2 in im
4.718 * [backup-simplify]: Simplify 1/2 into 1/2
4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.718 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.718 * [taylor]: Taking taylor expansion of im in im
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (* 1 1) into 1
4.718 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.723 * [backup-simplify]: Simplify (+ 0 0) into 0
4.723 * [taylor]: Taking taylor expansion of 0 in im
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.725 * [backup-simplify]: Simplify (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
4.725 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.725 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.725 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.725 * [taylor]: Taking taylor expansion of re in im
4.725 * [backup-simplify]: Simplify re into re
4.725 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.725 * [taylor]: Taking taylor expansion of im in im
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.725 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.725 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.725 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.726 * [backup-simplify]: Simplify (+ 0 0) into 0
4.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.726 * [taylor]: Taking taylor expansion of re in im
4.726 * [backup-simplify]: Simplify re into re
4.726 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.726 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.726 * [taylor]: Taking taylor expansion of re in re
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.726 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.726 * [taylor]: Taking taylor expansion of im in re
4.726 * [backup-simplify]: Simplify im into im
4.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.726 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.727 * [backup-simplify]: Simplify (+ 0 0) into 0
4.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.727 * [taylor]: Taking taylor expansion of re in re
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 1 into 1
4.727 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.727 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.727 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.727 * [taylor]: Taking taylor expansion of re in re
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 1 into 1
4.727 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.727 * [taylor]: Taking taylor expansion of im in re
4.727 * [backup-simplify]: Simplify im into im
4.728 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.728 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.728 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.728 * [backup-simplify]: Simplify (+ 0 0) into 0
4.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.729 * [taylor]: Taking taylor expansion of re in re
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (- 0) into 0
4.729 * [backup-simplify]: Simplify (+ im 0) into im
4.729 * [taylor]: Taking taylor expansion of im in im
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify (- 1) into -1
4.730 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.730 * [taylor]: Taking taylor expansion of -1 in im
4.730 * [backup-simplify]: Simplify -1 into -1
4.730 * [backup-simplify]: Simplify -1 into -1
4.730 * [backup-simplify]: Simplify 1 into 1
4.731 * [backup-simplify]: Simplify (* 1 1) into 1
4.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.731 * [backup-simplify]: Simplify (+ 1 0) into 1
4.732 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.733 * [backup-simplify]: Simplify (- 0) into 0
4.733 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.733 * [taylor]: Taking taylor expansion of 1/2 in im
4.733 * [backup-simplify]: Simplify 1/2 into 1/2
4.733 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.733 * [taylor]: Taking taylor expansion of im in im
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.737 * [backup-simplify]: Simplify (+ 0 0) into 0
4.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.737 * [backup-simplify]: Simplify (- 0) into 0
4.738 * [backup-simplify]: Simplify (+ 0 0) into 0
4.738 * [taylor]: Taking taylor expansion of 0 in im
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.741 * [backup-simplify]: Simplify (exp (log (- (* (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))
4.741 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.741 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.741 * [taylor]: Taking taylor expansion of im in im
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 1 into 1
4.742 * [backup-simplify]: Simplify (* 1 1) into 1
4.742 * [backup-simplify]: Simplify (/ 1 1) into 1
4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.742 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.742 * [taylor]: Taking taylor expansion of re in im
4.742 * [backup-simplify]: Simplify re into re
4.742 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.743 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.743 * [backup-simplify]: Simplify (+ 1 0) into 1
4.743 * [backup-simplify]: Simplify (sqrt 1) into 1
4.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.746 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.746 * [taylor]: Taking taylor expansion of re in im
4.746 * [backup-simplify]: Simplify re into re
4.746 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.746 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.746 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.746 * [taylor]: Taking taylor expansion of im in re
4.746 * [backup-simplify]: Simplify im into im
4.746 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.746 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.746 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.746 * [taylor]: Taking taylor expansion of re in re
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.746 * [backup-simplify]: Simplify (* 1 1) into 1
4.747 * [backup-simplify]: Simplify (/ 1 1) into 1
4.747 * [backup-simplify]: Simplify (+ 0 1) into 1
4.752 * [backup-simplify]: Simplify (sqrt 1) into 1
4.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.753 * [backup-simplify]: Simplify (+ 0 0) into 0
4.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.754 * [taylor]: Taking taylor expansion of re in re
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 1 into 1
4.754 * [backup-simplify]: Simplify (/ 1 1) into 1
4.754 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.754 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.754 * [taylor]: Taking taylor expansion of im in re
4.754 * [backup-simplify]: Simplify im into im
4.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.754 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.754 * [taylor]: Taking taylor expansion of re in re
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.755 * [backup-simplify]: Simplify (* 1 1) into 1
4.755 * [backup-simplify]: Simplify (/ 1 1) into 1
4.755 * [backup-simplify]: Simplify (+ 0 1) into 1
4.756 * [backup-simplify]: Simplify (sqrt 1) into 1
4.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (+ 0 0) into 0
4.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.757 * [taylor]: Taking taylor expansion of re in re
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (/ 1 1) into 1
4.758 * [backup-simplify]: Simplify (- 1) into -1
4.758 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.758 * [taylor]: Taking taylor expansion of 0 in im
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.759 * [backup-simplify]: Simplify (- 0) into 0
4.759 * [backup-simplify]: Simplify (+ 0 0) into 0
4.759 * [taylor]: Taking taylor expansion of 0 in im
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.760 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.761 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (- 0) into 0
4.762 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.762 * [taylor]: Taking taylor expansion of 1/2 in im
4.762 * [backup-simplify]: Simplify 1/2 into 1/2
4.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.762 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.762 * [taylor]: Taking taylor expansion of im in im
4.762 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify 1 into 1
4.762 * [backup-simplify]: Simplify (* 1 1) into 1
4.763 * [backup-simplify]: Simplify (/ 1 1) into 1
4.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify (+ 0 0) into 0
4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify (- 0) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [taylor]: Taking taylor expansion of 0 in im
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify (exp (log (- (* (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)))))
4.769 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.769 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.769 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.769 * [taylor]: Taking taylor expansion of re in im
4.769 * [backup-simplify]: Simplify re into re
4.769 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.770 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.770 * [taylor]: Taking taylor expansion of im in im
4.770 * [backup-simplify]: Simplify 0 into 0
4.770 * [backup-simplify]: Simplify 1 into 1
4.770 * [backup-simplify]: Simplify (* 1 1) into 1
4.770 * [backup-simplify]: Simplify (/ 1 1) into 1
4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.770 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.770 * [taylor]: Taking taylor expansion of re in im
4.770 * [backup-simplify]: Simplify re into re
4.771 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.771 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.771 * [backup-simplify]: Simplify (+ 1 0) into 1
4.771 * [backup-simplify]: Simplify (sqrt 1) into 1
4.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.773 * [taylor]: Taking taylor expansion of re in re
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.773 * [backup-simplify]: Simplify (/ 1 1) into 1
4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.773 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.773 * [taylor]: Taking taylor expansion of im in re
4.773 * [backup-simplify]: Simplify im into im
4.773 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.773 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.773 * [taylor]: Taking taylor expansion of re in re
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.774 * [backup-simplify]: Simplify (* 1 1) into 1
4.774 * [backup-simplify]: Simplify (/ 1 1) into 1
4.774 * [backup-simplify]: Simplify (+ 0 1) into 1
4.774 * [backup-simplify]: Simplify (sqrt 1) into 1
4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.775 * [backup-simplify]: Simplify (+ 0 0) into 0
4.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.776 * [taylor]: Taking taylor expansion of re in re
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 1 into 1
4.776 * [backup-simplify]: Simplify (/ 1 1) into 1
4.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.776 * [taylor]: Taking taylor expansion of im in re
4.776 * [backup-simplify]: Simplify im into im
4.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.776 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.776 * [taylor]: Taking taylor expansion of re in re
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 1 into 1
4.777 * [backup-simplify]: Simplify (* 1 1) into 1
4.777 * [backup-simplify]: Simplify (/ 1 1) into 1
4.777 * [backup-simplify]: Simplify (+ 0 1) into 1
4.777 * [backup-simplify]: Simplify (sqrt 1) into 1
4.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (+ 0 0) into 0
4.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.779 * [backup-simplify]: Simplify (+ 1 1) into 2
4.779 * [taylor]: Taking taylor expansion of 2 in im
4.779 * [backup-simplify]: Simplify 2 into 2
4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.780 * [taylor]: Taking taylor expansion of 0 in im
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 2 into 2
4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.783 * [taylor]: Taking taylor expansion of 1/2 in im
4.783 * [backup-simplify]: Simplify 1/2 into 1/2
4.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.783 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.783 * [taylor]: Taking taylor expansion of im in im
4.783 * [backup-simplify]: Simplify 0 into 0
4.783 * [backup-simplify]: Simplify 1 into 1
4.784 * [backup-simplify]: Simplify (* 1 1) into 1
4.784 * [backup-simplify]: Simplify (/ 1 1) into 1
4.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.791 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [taylor]: Taking taylor expansion of 0 in im
4.791 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.794 * * * [progress]: simplifying candidates
4.796 * [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 im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  (exp 1)
  (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (sqrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp 1)
  (exp (log (* (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)))))
  (exp (log (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log 1))
  (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (exp (log (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (exp (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (log (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
4.797 * [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 (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1))
 (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (exp (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (* (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (- (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (- h1)
 (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))
 (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- h1)
 (exp 1)
 (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (cbrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (sqrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp 1)
 (exp (log (* (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log 1))
 (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (exp (log (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))))
 (exp (log (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))))
 (exp (log (- (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))))
 (exp (log (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))))
 (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (log (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (* (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (* -2 h1)
 (- h0 h1)
 0
 (* -2 h1)
4.942 * * * [progress]: adding candidates to table
5.303 * [progress]: [Phase 3 of 3] Extracting.
5.303 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.310 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) im re)
5.310 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.409 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.466 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.536 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.603 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.674 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.774 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.833 * * * [regime]: Found split indices: #<option (#s(si 7 35) #s(si 8 104) #s(si 5 255))>
5.836 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.957 * [regimes]: Found splitpoints: (#s(sp 7 re -3.944653993596002e+108) #s(sp 8 re -3.208712646862146e-209) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow E (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))> #<alt (λ (re im) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))))>)
5.958 * [simplify]: Simplifying:
  (if (<= re -3.944653993596002e+108) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))) (if (<= re -3.208712646862146e-209) (* 0.5 (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3))) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))))))
5.958 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -3.944653993596002e+108) (* (/ 1.0 2.0) (sqrt (* 2.0 (- (* -1 h0) h0)))) (if (<= h0 (/ -5938511416015121.0 1.8507457879790174e+224)) (* (/ 1.0 2.0) (cbrt (pow (sqrt (* 2.0 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) 3))) (* (/ 1.0 2.0) (sqrt (* 2.0 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))))))
9.317 * [regime-testing]: Baseline error score: 39.24803097120028
9.319 * [regime-testing]: Oracle error score: 18.21338622548575
9.325 * [regime-testing]: End program error score: 27.282002432188868