0.378 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.095 * * * [progress]: [2/2] Setting up program.
0.099 * [progress]: [Phase 2 of 3] Improving.
0.102 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.133 * * [progress]: iteration 1 / 4
0.134 * * * [progress]: picking best candidate
0.138 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.138 * * * [progress]: localizing error
0.207 * * * [progress]: generating rewritten candidates
0.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.379 * * * [progress]: generating series expansions
0.379 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.388 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.388 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.389 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.389 * [taylor]: Taking taylor expansion of re in im
0.390 * [backup-simplify]: Simplify re into re
0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.390 * [taylor]: Taking taylor expansion of im in im
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.391 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.393 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.393 * [taylor]: Taking taylor expansion of re in re
0.393 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.394 * [taylor]: Taking taylor expansion of im in re
0.394 * [backup-simplify]: Simplify im into im
0.394 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.395 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.395 * [taylor]: Taking taylor expansion of re in re
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.395 * [taylor]: Taking taylor expansion of im in re
0.395 * [backup-simplify]: Simplify im into im
0.395 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.395 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.397 * [taylor]: Taking taylor expansion of im in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [taylor]: Taking taylor expansion of 0 in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.400 * [backup-simplify]: Simplify (+ 1 0) into 1
0.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.401 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.401 * [taylor]: Taking taylor expansion of 1/2 in im
0.401 * [backup-simplify]: Simplify 1/2 into 1/2
0.401 * [taylor]: Taking taylor expansion of im in im
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.406 * [taylor]: Taking taylor expansion of 0 in im
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.408 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.408 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.409 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.409 * [taylor]: Taking taylor expansion of im in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (/ 1 1) into 1
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.410 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.410 * [taylor]: Taking taylor expansion of re in im
0.410 * [backup-simplify]: Simplify re into re
0.410 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.410 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.411 * [backup-simplify]: Simplify (+ 1 0) into 1
0.411 * [backup-simplify]: Simplify (sqrt 1) into 1
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.414 * [taylor]: Taking taylor expansion of im in re
0.414 * [backup-simplify]: Simplify im into im
0.415 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.415 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.415 * [taylor]: Taking taylor expansion of re in re
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [backup-simplify]: Simplify (+ 0 1) into 1
0.417 * [backup-simplify]: Simplify (sqrt 1) into 1
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.421 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.421 * [taylor]: Taking taylor expansion of re in re
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [backup-simplify]: Simplify (+ 0 1) into 1
0.423 * [backup-simplify]: Simplify (sqrt 1) into 1
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.426 * [taylor]: Taking taylor expansion of 1 in im
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [taylor]: Taking taylor expansion of 0 in im
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.432 * [taylor]: Taking taylor expansion of 1/2 in im
0.432 * [backup-simplify]: Simplify 1/2 into 1/2
0.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.432 * [taylor]: Taking taylor expansion of im in im
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (* 1 1) into 1
0.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.438 * [taylor]: Taking taylor expansion of 0 in im
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.441 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.441 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.442 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.442 * [taylor]: Taking taylor expansion of im in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.443 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.443 * [taylor]: Taking taylor expansion of re in im
0.443 * [backup-simplify]: Simplify re into re
0.443 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.443 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.443 * [backup-simplify]: Simplify (+ 1 0) into 1
0.444 * [backup-simplify]: Simplify (sqrt 1) into 1
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.447 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.447 * [taylor]: Taking taylor expansion of im in re
0.447 * [backup-simplify]: Simplify im into im
0.447 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.447 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.447 * [taylor]: Taking taylor expansion of re in re
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [backup-simplify]: Simplify (+ 0 1) into 1
0.449 * [backup-simplify]: Simplify (sqrt 1) into 1
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.452 * [taylor]: Taking taylor expansion of im in re
0.452 * [backup-simplify]: Simplify im into im
0.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.452 * [taylor]: Taking taylor expansion of re in re
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.454 * [backup-simplify]: Simplify (sqrt 1) into 1
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.457 * [taylor]: Taking taylor expansion of 1 in im
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [taylor]: Taking taylor expansion of 0 in im
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.468 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.468 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.468 * [taylor]: Taking taylor expansion of 1/2 in im
0.468 * [backup-simplify]: Simplify 1/2 into 1/2
0.468 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.468 * [taylor]: Taking taylor expansion of im in im
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.475 * [taylor]: Taking taylor expansion of 0 in im
0.475 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.478 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
0.478 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
0.479 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.479 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.479 * [taylor]: Taking taylor expansion of re in im
0.479 * [backup-simplify]: Simplify re into re
0.479 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.479 * [taylor]: Taking taylor expansion of im in im
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.479 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.479 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.479 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.480 * [taylor]: Taking taylor expansion of re in im
0.480 * [backup-simplify]: Simplify re into re
0.480 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.480 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.480 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.480 * [taylor]: Taking taylor expansion of re in re
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.480 * [taylor]: Taking taylor expansion of im in re
0.480 * [backup-simplify]: Simplify im into im
0.480 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.481 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.481 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.481 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.481 * [taylor]: Taking taylor expansion of re in re
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.482 * [taylor]: Taking taylor expansion of re in re
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.482 * [taylor]: Taking taylor expansion of im in re
0.482 * [backup-simplify]: Simplify im into im
0.482 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.482 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.482 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.483 * [taylor]: Taking taylor expansion of re in re
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (- 0) into 0
0.484 * [backup-simplify]: Simplify (+ im 0) into im
0.484 * [taylor]: Taking taylor expansion of im in im
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (- 1) into -1
0.485 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.485 * [taylor]: Taking taylor expansion of -1 in im
0.485 * [backup-simplify]: Simplify -1 into -1
0.485 * [backup-simplify]: Simplify -1 into -1
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.486 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.488 * [taylor]: Taking taylor expansion of 1/2 in im
0.488 * [backup-simplify]: Simplify 1/2 into 1/2
0.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.488 * [taylor]: Taking taylor expansion of im in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.492 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [taylor]: Taking taylor expansion of 0 in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.496 * [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))
0.496 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.496 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.496 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.496 * [taylor]: Taking taylor expansion of im in im
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (* 1 1) into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.497 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.497 * [taylor]: Taking taylor expansion of re in im
0.497 * [backup-simplify]: Simplify re into re
0.497 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (sqrt 1) into 1
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.500 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.500 * [taylor]: Taking taylor expansion of re in im
0.500 * [backup-simplify]: Simplify re into re
0.500 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.500 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.500 * [taylor]: Taking taylor expansion of im in re
0.500 * [backup-simplify]: Simplify im into im
0.500 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.500 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.500 * [taylor]: Taking taylor expansion of re in re
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [backup-simplify]: Simplify (+ 0 1) into 1
0.501 * [backup-simplify]: Simplify (sqrt 1) into 1
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.503 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.503 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.504 * [taylor]: Taking taylor expansion of im in re
0.504 * [backup-simplify]: Simplify im into im
0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (+ 0 1) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [backup-simplify]: Simplify (- 1) into -1
0.507 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- 0) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [taylor]: Taking taylor expansion of 0 in im
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.510 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.511 * [taylor]: Taking taylor expansion of 1/2 in im
0.511 * [backup-simplify]: Simplify 1/2 into 1/2
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.511 * [taylor]: Taking taylor expansion of im in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (/ 1 1) into 1
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [taylor]: Taking taylor expansion of 0 in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [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)))))
0.519 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.519 * [taylor]: Taking taylor expansion of re in im
0.519 * [backup-simplify]: Simplify re into re
0.519 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.519 * [taylor]: Taking taylor expansion of im in im
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.520 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.520 * [taylor]: Taking taylor expansion of re in im
0.520 * [backup-simplify]: Simplify re into re
0.520 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.520 * [backup-simplify]: Simplify (+ 1 0) into 1
0.520 * [backup-simplify]: Simplify (sqrt 1) into 1
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.522 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.523 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.523 * [taylor]: Taking taylor expansion of im in re
0.523 * [backup-simplify]: Simplify im into im
0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.523 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.523 * [taylor]: Taking taylor expansion of re in re
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [backup-simplify]: Simplify (+ 0 1) into 1
0.524 * [backup-simplify]: Simplify (sqrt 1) into 1
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.526 * [taylor]: Taking taylor expansion of re in re
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.526 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.526 * [taylor]: Taking taylor expansion of im in re
0.526 * [backup-simplify]: Simplify im into im
0.526 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.526 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.526 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.526 * [taylor]: Taking taylor expansion of re in re
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.527 * [backup-simplify]: Simplify (sqrt 1) into 1
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.529 * [backup-simplify]: Simplify (+ 1 1) into 2
0.529 * [taylor]: Taking taylor expansion of 2 in im
0.530 * [backup-simplify]: Simplify 2 into 2
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [taylor]: Taking taylor expansion of 0 in im
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 2 into 2
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.534 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.534 * [taylor]: Taking taylor expansion of 1/2 in im
0.534 * [backup-simplify]: Simplify 1/2 into 1/2
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.534 * [taylor]: Taking taylor expansion of im in im
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [taylor]: Taking taylor expansion of 0 in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.543 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.543 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.543 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.543 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.543 * [taylor]: Taking taylor expansion of re in im
0.543 * [backup-simplify]: Simplify re into re
0.543 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.543 * [taylor]: Taking taylor expansion of im in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.543 * [taylor]: Taking taylor expansion of re in re
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.543 * [taylor]: Taking taylor expansion of im in re
0.544 * [backup-simplify]: Simplify im into im
0.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.544 * [taylor]: Taking taylor expansion of im in re
0.544 * [backup-simplify]: Simplify im into im
0.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.544 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [taylor]: Taking taylor expansion of 0 in im
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.546 * [backup-simplify]: Simplify (+ 1 0) into 1
0.546 * [taylor]: Taking taylor expansion of 1 in im
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.548 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.549 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [taylor]: Taking taylor expansion of 0 in im
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [taylor]: Taking taylor expansion of 0 in im
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.553 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.553 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.553 * [taylor]: Taking taylor expansion of im in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.554 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.554 * [taylor]: Taking taylor expansion of re in im
0.554 * [backup-simplify]: Simplify re into re
0.554 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.555 * [taylor]: Taking taylor expansion of im in re
0.555 * [backup-simplify]: Simplify im into im
0.555 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.555 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.555 * [taylor]: Taking taylor expansion of re in re
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.556 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.556 * [taylor]: Taking taylor expansion of im in re
0.556 * [backup-simplify]: Simplify im into im
0.556 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.556 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.556 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.556 * [taylor]: Taking taylor expansion of re in re
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (* 1 1) into 1
0.557 * [backup-simplify]: Simplify (/ 1 1) into 1
0.557 * [backup-simplify]: Simplify (+ 0 1) into 1
0.557 * [taylor]: Taking taylor expansion of 1 in im
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.559 * [taylor]: Taking taylor expansion of 0 in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.562 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
0.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [taylor]: Taking taylor expansion of 0 in im
0.571 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.574 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.574 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.574 * [taylor]: Taking taylor expansion of (pow im 2) in 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
0.575 * [backup-simplify]: Simplify (* 1 1) into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.575 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.575 * [taylor]: Taking taylor expansion of re in im
0.575 * [backup-simplify]: Simplify re into re
0.575 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.575 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.576 * [taylor]: Taking taylor expansion of im in re
0.576 * [backup-simplify]: Simplify im into im
0.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.576 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.576 * [taylor]: Taking taylor expansion of re in re
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (* 1 1) into 1
0.577 * [backup-simplify]: Simplify (/ 1 1) into 1
0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.577 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.577 * [taylor]: Taking taylor expansion of im in re
0.577 * [backup-simplify]: Simplify im into im
0.577 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.577 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.577 * [taylor]: Taking taylor expansion of re in re
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (* 1 1) into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [backup-simplify]: Simplify (+ 0 1) into 1
0.579 * [taylor]: Taking taylor expansion of 1 in im
0.579 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.580 * [taylor]: Taking taylor expansion of 0 in im
0.580 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.583 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.583 * [taylor]: Taking taylor expansion of im in im
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (* 1 1) into 1
0.584 * [backup-simplify]: Simplify (/ 1 1) into 1
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [taylor]: Taking taylor expansion of 0 in im
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [taylor]: Taking taylor expansion of 0 in im
0.592 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.595 * [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)))
0.595 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0
0.595 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.595 * [taylor]: Taking taylor expansion of 2.0 in im
0.595 * [backup-simplify]: Simplify 2.0 into 2.0
0.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.596 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
0.596 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.596 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.596 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.596 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.596 * [taylor]: Taking taylor expansion of re in im
0.596 * [backup-simplify]: Simplify re into re
0.596 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.597 * [taylor]: Taking taylor expansion of im in im
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.597 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.597 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.597 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.598 * [taylor]: Taking taylor expansion of re in im
0.598 * [backup-simplify]: Simplify re into re
0.598 * [backup-simplify]: Simplify (- re) into (- re)
0.598 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.598 * [backup-simplify]: Simplify (- 0) into 0
0.598 * [backup-simplify]: Simplify (+ 0 0) into 0
0.599 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (+ 0 1) into 1
0.601 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.601 * [backup-simplify]: Simplify (- 0) into 0
0.601 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.601 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.602 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.610 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.610 * [taylor]: Taking taylor expansion of 2.0 in re
0.610 * [backup-simplify]: Simplify 2.0 into 2.0
0.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.612 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.612 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.612 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.612 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.612 * [taylor]: Taking taylor expansion of im in re
0.612 * [backup-simplify]: Simplify im into im
0.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.612 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.612 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.613 * [taylor]: Taking taylor expansion of re in re
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 1 into 1
0.614 * [backup-simplify]: Simplify (- 0) into 0
0.614 * [backup-simplify]: Simplify (+ im 0) into im
0.614 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.614 * [backup-simplify]: Simplify (- 1) into -1
0.614 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.615 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.615 * [taylor]: Taking taylor expansion of 2.0 in re
0.615 * [backup-simplify]: Simplify 2.0 into 2.0
0.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.616 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.616 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.616 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.616 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.616 * [taylor]: Taking taylor expansion of re in re
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.616 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.616 * [taylor]: Taking taylor expansion of im in re
0.616 * [backup-simplify]: Simplify im into im
0.616 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.617 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.617 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.617 * [backup-simplify]: Simplify (+ 0 0) into 0
0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.617 * [taylor]: Taking taylor expansion of re in re
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (- 0) into 0
0.618 * [backup-simplify]: Simplify (+ im 0) into im
0.618 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.618 * [backup-simplify]: Simplify (- 1) into -1
0.619 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.619 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.619 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.619 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.619 * [taylor]: Taking taylor expansion of 2.0 in im
0.619 * [backup-simplify]: Simplify 2.0 into 2.0
0.620 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.621 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.621 * [taylor]: Taking taylor expansion of im in im
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (sqrt 0) into 0
0.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.625 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.627 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.627 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.627 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.628 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.628 * [taylor]: Taking taylor expansion of 1/2 in im
0.628 * [backup-simplify]: Simplify 1/2 into 1/2
0.628 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.628 * [taylor]: Taking taylor expansion of 2.0 in im
0.628 * [backup-simplify]: Simplify 2.0 into 2.0
0.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.629 * [taylor]: Taking taylor expansion of im in im
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify 1 into 1
0.629 * [backup-simplify]: Simplify (/ 1 1) into 1
0.630 * [backup-simplify]: Simplify (sqrt 0) into 0
0.631 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.636 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.639 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.642 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.647 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.650 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.651 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.653 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.655 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.656 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.660 * [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))))))))
0.660 * [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))))
0.660 * [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
0.660 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.660 * [taylor]: Taking taylor expansion of 2.0 in im
0.660 * [backup-simplify]: Simplify 2.0 into 2.0
0.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.661 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.662 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.662 * [taylor]: Taking taylor expansion of re in im
0.662 * [backup-simplify]: Simplify re into re
0.662 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.662 * [backup-simplify]: Simplify (+ 1 0) into 1
0.662 * [backup-simplify]: Simplify (sqrt 1) into 1
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.664 * [taylor]: Taking taylor expansion of re in im
0.664 * [backup-simplify]: Simplify re into re
0.664 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.665 * [backup-simplify]: Simplify (+ 1 0) into 1
0.665 * [backup-simplify]: Simplify (sqrt 0) into 0
0.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.666 * [taylor]: Taking taylor expansion of 2.0 in re
0.666 * [backup-simplify]: Simplify 2.0 into 2.0
0.666 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.667 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.667 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.667 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.667 * [taylor]: Taking taylor expansion of im in re
0.667 * [backup-simplify]: Simplify im into im
0.667 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.667 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.667 * [taylor]: Taking taylor expansion of re in re
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (* 1 1) into 1
0.668 * [backup-simplify]: Simplify (/ 1 1) into 1
0.668 * [backup-simplify]: Simplify (+ 0 1) into 1
0.668 * [backup-simplify]: Simplify (sqrt 1) into 1
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.670 * [taylor]: Taking taylor expansion of re in re
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 1 into 1
0.670 * [backup-simplify]: Simplify (/ 1 1) into 1
0.670 * [backup-simplify]: Simplify (- 1) into -1
0.670 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.671 * [backup-simplify]: Simplify (- 0) into 0
0.671 * [backup-simplify]: Simplify (+ 0 0) into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.674 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.674 * [backup-simplify]: Simplify (- 0) into 0
0.674 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.675 * [backup-simplify]: Simplify (sqrt 0) into 0
0.675 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.675 * [taylor]: Taking taylor expansion of 2.0 in re
0.675 * [backup-simplify]: Simplify 2.0 into 2.0
0.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.676 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.676 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.676 * [taylor]: Taking taylor expansion of im in re
0.676 * [backup-simplify]: Simplify im into im
0.676 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.676 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.676 * [taylor]: Taking taylor expansion of re in re
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify 1 into 1
0.677 * [backup-simplify]: Simplify (* 1 1) into 1
0.677 * [backup-simplify]: Simplify (/ 1 1) into 1
0.677 * [backup-simplify]: Simplify (+ 0 1) into 1
0.678 * [backup-simplify]: Simplify (sqrt 1) into 1
0.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.679 * [taylor]: Taking taylor expansion of re in re
0.679 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify (/ 1 1) into 1
0.680 * [backup-simplify]: Simplify (- 1) into -1
0.680 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (- 0) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.682 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.684 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.685 * [backup-simplify]: Simplify (- 0) into 0
0.685 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.685 * [backup-simplify]: Simplify (sqrt 0) into 0
0.686 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.687 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.687 * [taylor]: Taking taylor expansion of 0 in im
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.688 * [taylor]: Taking taylor expansion of +nan.0 in im
0.688 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.688 * [taylor]: Taking taylor expansion of 2.0 in im
0.688 * [backup-simplify]: Simplify 2.0 into 2.0
0.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.689 * [taylor]: Taking taylor expansion of im in im
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.691 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.694 * [backup-simplify]: Simplify (- 0) into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (+ 0 0) into 0
0.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.697 * [backup-simplify]: Simplify (- 0) into 0
0.697 * [backup-simplify]: Simplify (+ 0 0) into 0
0.698 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.699 * [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))))
0.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.700 * [taylor]: Taking taylor expansion of +nan.0 in im
0.700 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.700 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.700 * [taylor]: Taking taylor expansion of 2.0 in im
0.700 * [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 (pow im 4) 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 (* 1 1) into 1
0.702 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.709 * [backup-simplify]: Simplify (- 0) into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.712 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.712 * [backup-simplify]: Simplify (- 0) into 0
0.712 * [backup-simplify]: Simplify 0 into 0
0.712 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.715 * [backup-simplify]: Simplify (+ 0 0) into 0
0.715 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.716 * [backup-simplify]: Simplify (- 0) into 0
0.716 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.717 * [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))))))
0.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.719 * [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))))))
0.719 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.719 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.719 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.719 * [taylor]: Taking taylor expansion of +nan.0 in im
0.719 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.719 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.719 * [taylor]: Taking taylor expansion of 2.0 in im
0.719 * [backup-simplify]: Simplify 2.0 into 2.0
0.719 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.720 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.720 * [taylor]: Taking taylor expansion of im in im
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (* 1 1) into 1
0.721 * [backup-simplify]: Simplify (* 1 1) into 1
0.721 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.721 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.721 * [taylor]: Taking taylor expansion of +nan.0 in im
0.721 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.721 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.721 * [taylor]: Taking taylor expansion of 2.0 in im
0.721 * [backup-simplify]: Simplify 2.0 into 2.0
0.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.722 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.722 * [taylor]: Taking taylor expansion of im in im
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 1 into 1
0.722 * [backup-simplify]: Simplify (* 1 1) into 1
0.723 * [backup-simplify]: Simplify (* 1 1) into 1
0.723 * [backup-simplify]: Simplify (* 1 1) into 1
0.723 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.736 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.761 * [backup-simplify]: Simplify (- 0) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [backup-simplify]: Simplify (- 0) into 0
0.762 * [backup-simplify]: Simplify 0 into 0
0.762 * [backup-simplify]: Simplify 0 into 0
0.762 * [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)))))))
0.762 * [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
0.762 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.762 * [taylor]: Taking taylor expansion of 2.0 in im
0.763 * [backup-simplify]: Simplify 2.0 into 2.0
0.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.764 * [taylor]: Taking taylor expansion of re in im
0.764 * [backup-simplify]: Simplify re into re
0.764 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.764 * [taylor]: Taking taylor expansion of im in im
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 1 into 1
0.765 * [backup-simplify]: Simplify (* 1 1) into 1
0.765 * [backup-simplify]: Simplify (/ 1 1) into 1
0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.765 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.765 * [taylor]: Taking taylor expansion of re in im
0.765 * [backup-simplify]: Simplify re into re
0.765 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.766 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.766 * [backup-simplify]: Simplify (+ 1 0) into 1
0.766 * [backup-simplify]: Simplify (sqrt 1) into 1
0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.768 * [backup-simplify]: Simplify (+ 0 0) into 0
0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.770 * [backup-simplify]: Simplify (+ 0 1) into 1
0.770 * [backup-simplify]: Simplify (sqrt 0) into 0
0.771 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.772 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.772 * [taylor]: Taking taylor expansion of 2.0 in re
0.772 * [backup-simplify]: Simplify 2.0 into 2.0
0.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.773 * [taylor]: Taking taylor expansion of re in re
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (/ 1 1) into 1
0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.774 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.774 * [taylor]: Taking taylor expansion of im in re
0.774 * [backup-simplify]: Simplify im into im
0.774 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.774 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.774 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.774 * [taylor]: Taking taylor expansion of re in re
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.774 * [backup-simplify]: Simplify (* 1 1) into 1
0.775 * [backup-simplify]: Simplify (/ 1 1) into 1
0.775 * [backup-simplify]: Simplify (+ 0 1) into 1
0.776 * [backup-simplify]: Simplify (sqrt 1) into 1
0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.779 * [backup-simplify]: Simplify (+ 1 1) into 2
0.779 * [backup-simplify]: Simplify (sqrt 0) into 0
0.780 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.780 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.780 * [taylor]: Taking taylor expansion of 2.0 in re
0.780 * [backup-simplify]: Simplify 2.0 into 2.0
0.781 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.782 * [taylor]: Taking taylor expansion of re in re
0.782 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify 1 into 1
0.782 * [backup-simplify]: Simplify (/ 1 1) into 1
0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.782 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.782 * [taylor]: Taking taylor expansion of im in re
0.782 * [backup-simplify]: Simplify im into im
0.782 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.783 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.783 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.783 * [taylor]: Taking taylor expansion of re in re
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.784 * [backup-simplify]: Simplify (* 1 1) into 1
0.784 * [backup-simplify]: Simplify (/ 1 1) into 1
0.784 * [backup-simplify]: Simplify (+ 0 1) into 1
0.785 * [backup-simplify]: Simplify (sqrt 1) into 1
0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ 0 0) into 0
0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.788 * [backup-simplify]: Simplify (+ 1 1) into 2
0.788 * [backup-simplify]: Simplify (sqrt 0) into 0
0.790 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.790 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.790 * [taylor]: Taking taylor expansion of 0 in im
0.790 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.793 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.793 * [taylor]: Taking taylor expansion of +nan.0 in im
0.793 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.793 * [taylor]: Taking taylor expansion of 2.0 in im
0.793 * [backup-simplify]: Simplify 2.0 into 2.0
0.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.794 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (+ 0 0) into 0
0.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.803 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.803 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.803 * [taylor]: Taking taylor expansion of +nan.0 in im
0.803 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.803 * [taylor]: Taking taylor expansion of 2.0 in im
0.803 * [backup-simplify]: Simplify 2.0 into 2.0
0.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.805 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.807 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.809 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.814 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.814 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.816 * [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))
0.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.819 * [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)))))
0.819 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.819 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.819 * [taylor]: Taking taylor expansion of +nan.0 in im
0.819 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.819 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.819 * [taylor]: Taking taylor expansion of 2.0 in im
0.819 * [backup-simplify]: Simplify 2.0 into 2.0
0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.820 * [taylor]: Taking taylor expansion of im in im
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (* 1 1) into 1
0.822 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.822 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.822 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.822 * [taylor]: Taking taylor expansion of +nan.0 in im
0.822 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.822 * [taylor]: Taking taylor expansion of 2.0 in im
0.822 * [backup-simplify]: Simplify 2.0 into 2.0
0.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.826 * [backup-simplify]: Simplify (+ 0 0) into 0
0.826 * [backup-simplify]: Simplify (- 0) into 0
0.826 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.831 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.832 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.832 * [backup-simplify]: Simplify (- 0) into 0
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.833 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.837 * [backup-simplify]: Simplify (+ 0 0) into 0
0.838 * [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)))
0.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.842 * [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)))))
0.842 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.842 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.842 * [taylor]: Taking taylor expansion of +nan.0 in im
0.842 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.842 * [taylor]: Taking taylor expansion of 2.0 in im
0.842 * [backup-simplify]: Simplify 2.0 into 2.0
0.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.844 * [taylor]: Taking taylor expansion of im in im
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify (* 1 1) into 1
0.845 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.845 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.845 * [taylor]: Taking taylor expansion of +nan.0 in im
0.845 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.845 * [taylor]: Taking taylor expansion of 2.0 in im
0.845 * [backup-simplify]: Simplify 2.0 into 2.0
0.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.849 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.850 * [backup-simplify]: Simplify (+ 0 0) into 0
0.850 * [backup-simplify]: Simplify (- 0) into 0
0.850 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.854 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.855 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.857 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.859 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.862 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.863 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.869 * [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)))))))
0.869 * * * [progress]: simplifying candidates
0.878 * [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)
  (* (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))
  (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (- (+ (* +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)))))))
2.608 * * * [progress]: adding candidates to table
2.912 * * [progress]: iteration 2 / 4
2.912 * * * [progress]: picking best candidate
2.924 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
2.924 * * * [progress]: localizing error
2.941 * * * [progress]: generating rewritten candidates
2.942 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.954 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
3.039 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
3.055 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
3.075 * * * [progress]: generating series expansions
3.075 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1)
3.076 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.076 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.076 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.076 * [taylor]: Taking taylor expansion of re in im
3.076 * [backup-simplify]: Simplify re into re
3.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.076 * [taylor]: Taking taylor expansion of im in im
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.076 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.076 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.076 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.077 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.077 * [taylor]: Taking taylor expansion of re in re
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.078 * [taylor]: Taking taylor expansion of im in re
3.078 * [backup-simplify]: Simplify im into im
3.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.078 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.078 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.078 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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)
3.079 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.079 * [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 im in im
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [taylor]: Taking taylor expansion of 0 in im
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.082 * [backup-simplify]: Simplify (+ 1 0) into 1
3.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.082 * [taylor]: Taking taylor expansion of 1/2 in im
3.082 * [backup-simplify]: Simplify 1/2 into 1/2
3.083 * [taylor]: Taking taylor expansion of im in im
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.087 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.087 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.088 * [taylor]: Taking taylor expansion of 0 in im
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.090 * [taylor]: Taking taylor expansion of im in im
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.091 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.091 * [taylor]: Taking taylor expansion of re in im
3.091 * [backup-simplify]: Simplify re into re
3.091 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.091 * [backup-simplify]: Simplify (+ 1 0) into 1
3.092 * [backup-simplify]: Simplify (sqrt 1) into 1
3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.093 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.095 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.095 * [taylor]: Taking taylor expansion of im in re
3.095 * [backup-simplify]: Simplify im into im
3.095 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.095 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.095 * [taylor]: Taking taylor expansion of re in re
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (* 1 1) into 1
3.096 * [backup-simplify]: Simplify (/ 1 1) into 1
3.096 * [backup-simplify]: Simplify (+ 0 1) into 1
3.097 * [backup-simplify]: Simplify (sqrt 1) into 1
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.099 * [taylor]: Taking taylor expansion of im in re
3.099 * [backup-simplify]: Simplify im into im
3.100 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.100 * [taylor]: Taking taylor expansion of re in re
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.100 * [backup-simplify]: Simplify (* 1 1) into 1
3.101 * [backup-simplify]: Simplify (/ 1 1) into 1
3.101 * [backup-simplify]: Simplify (+ 0 1) into 1
3.101 * [backup-simplify]: Simplify (sqrt 1) into 1
3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.104 * [taylor]: Taking taylor expansion of 1 in im
3.104 * [backup-simplify]: Simplify 1 into 1
3.104 * [taylor]: Taking taylor expansion of 0 in im
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.106 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.108 * [taylor]: Taking taylor expansion of 1/2 in im
3.108 * [backup-simplify]: Simplify 1/2 into 1/2
3.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.108 * [taylor]: Taking taylor expansion of im in im
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.114 * [taylor]: Taking taylor expansion of 0 in im
3.114 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.116 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.116 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.116 * [taylor]: Taking taylor expansion of im in im
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify (* 1 1) into 1
3.117 * [backup-simplify]: Simplify (/ 1 1) into 1
3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.117 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.117 * [taylor]: Taking taylor expansion of re in im
3.117 * [backup-simplify]: Simplify re into re
3.117 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.118 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.118 * [backup-simplify]: Simplify (+ 1 0) into 1
3.118 * [backup-simplify]: Simplify (sqrt 1) into 1
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.120 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.121 * [taylor]: Taking taylor expansion of im in re
3.121 * [backup-simplify]: Simplify im into im
3.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.121 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.121 * [taylor]: Taking taylor expansion of re in re
3.121 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify 1 into 1
3.122 * [backup-simplify]: Simplify (* 1 1) into 1
3.122 * [backup-simplify]: Simplify (/ 1 1) into 1
3.123 * [backup-simplify]: Simplify (+ 0 1) into 1
3.123 * [backup-simplify]: Simplify (sqrt 1) into 1
3.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.126 * [taylor]: Taking taylor expansion of im in re
3.126 * [backup-simplify]: Simplify im into im
3.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.126 * [taylor]: Taking taylor expansion of re in re
3.126 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify 1 into 1
3.127 * [backup-simplify]: Simplify (* 1 1) into 1
3.127 * [backup-simplify]: Simplify (/ 1 1) into 1
3.127 * [backup-simplify]: Simplify (+ 0 1) into 1
3.128 * [backup-simplify]: Simplify (sqrt 1) into 1
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.129 * [backup-simplify]: Simplify (+ 0 0) into 0
3.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.130 * [taylor]: Taking taylor expansion of 1 in im
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of 0 in im
3.130 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.134 * [taylor]: Taking taylor expansion of 1/2 in im
3.134 * [backup-simplify]: Simplify 1/2 into 1/2
3.134 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.134 * [taylor]: Taking taylor expansion of im in im
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (* 1 1) into 1
3.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.140 * [taylor]: Taking taylor expansion of 0 in im
3.140 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
3.143 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
3.143 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
3.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
3.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.144 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.144 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.144 * [taylor]: Taking taylor expansion of re in im
3.144 * [backup-simplify]: Simplify re into re
3.144 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.144 * [taylor]: Taking taylor expansion of im in im
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.144 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.144 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.144 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.144 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.145 * [taylor]: Taking taylor expansion of re in im
3.145 * [backup-simplify]: Simplify re into re
3.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.145 * [taylor]: Taking taylor expansion of re in re
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.145 * [taylor]: Taking taylor expansion of im in re
3.145 * [backup-simplify]: Simplify im into im
3.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.146 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.146 * [taylor]: Taking taylor expansion of re in re
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.147 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.147 * [taylor]: Taking taylor expansion of re in re
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.147 * [taylor]: Taking taylor expansion of im in re
3.147 * [backup-simplify]: Simplify im into im
3.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.147 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.147 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.148 * [backup-simplify]: Simplify (+ 0 0) into 0
3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.148 * [taylor]: Taking taylor expansion of re in re
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (- 0) into 0
3.148 * [backup-simplify]: Simplify (+ im 0) into im
3.148 * [taylor]: Taking taylor expansion of im in im
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify (- 1) into -1
3.149 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.149 * [taylor]: Taking taylor expansion of -1 in im
3.149 * [backup-simplify]: Simplify -1 into -1
3.149 * [backup-simplify]: Simplify -1 into -1
3.150 * [backup-simplify]: Simplify 1 into 1
3.150 * [backup-simplify]: Simplify (* 1 1) into 1
3.150 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.151 * [backup-simplify]: Simplify (+ 1 0) into 1
3.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.152 * [backup-simplify]: Simplify (- 0) into 0
3.152 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.152 * [taylor]: Taking taylor expansion of 1/2 in im
3.152 * [backup-simplify]: Simplify 1/2 into 1/2
3.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.152 * [taylor]: Taking taylor expansion of im in im
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (/ 1 1) into 1
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.156 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.156 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.157 * [backup-simplify]: Simplify (- 0) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [taylor]: Taking taylor expansion of 0 in im
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.160 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.160 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.160 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.160 * [taylor]: Taking taylor expansion of im in im
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 1 into 1
3.161 * [backup-simplify]: Simplify (* 1 1) into 1
3.161 * [backup-simplify]: Simplify (/ 1 1) into 1
3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.161 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.161 * [taylor]: Taking taylor expansion of re in im
3.161 * [backup-simplify]: Simplify re into re
3.161 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.161 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.162 * [backup-simplify]: Simplify (+ 1 0) into 1
3.162 * [backup-simplify]: Simplify (sqrt 1) into 1
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.165 * [taylor]: Taking taylor expansion of re in im
3.165 * [backup-simplify]: Simplify re into re
3.165 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.165 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.165 * [taylor]: Taking taylor expansion of im in re
3.165 * [backup-simplify]: Simplify im into im
3.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.165 * [taylor]: Taking taylor expansion of re in re
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.166 * [backup-simplify]: Simplify (* 1 1) into 1
3.166 * [backup-simplify]: Simplify (/ 1 1) into 1
3.166 * [backup-simplify]: Simplify (+ 0 1) into 1
3.167 * [backup-simplify]: Simplify (sqrt 1) into 1
3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.168 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.169 * [taylor]: Taking taylor expansion of re in re
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 1 into 1
3.169 * [backup-simplify]: Simplify (/ 1 1) into 1
3.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.170 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.170 * [taylor]: Taking taylor expansion of im in re
3.170 * [backup-simplify]: Simplify im into im
3.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.170 * [taylor]: Taking taylor expansion of re in re
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [backup-simplify]: Simplify (* 1 1) into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [backup-simplify]: Simplify (+ 0 1) into 1
3.171 * [backup-simplify]: Simplify (sqrt 1) into 1
3.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (+ 0 0) into 0
3.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.173 * [taylor]: Taking taylor expansion of re in re
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 1 into 1
3.173 * [backup-simplify]: Simplify (/ 1 1) into 1
3.173 * [backup-simplify]: Simplify (- 1) into -1
3.174 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.174 * [taylor]: Taking taylor expansion of 0 in im
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (- 0) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.175 * [taylor]: Taking taylor expansion of 0 in im
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (- 0) into 0
3.178 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.178 * [taylor]: Taking taylor expansion of 1/2 in im
3.178 * [backup-simplify]: Simplify 1/2 into 1/2
3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.178 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.178 * [taylor]: Taking taylor expansion of im in im
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 1 into 1
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.179 * [backup-simplify]: Simplify (/ 1 1) into 1
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ 0 0) into 0
3.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify (- 0) into 0
3.183 * [backup-simplify]: Simplify (+ 0 0) into 0
3.183 * [taylor]: Taking taylor expansion of 0 in im
3.183 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.185 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.186 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.186 * [taylor]: Taking taylor expansion of re in im
3.186 * [backup-simplify]: Simplify re into re
3.186 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.186 * [taylor]: Taking taylor expansion of im in im
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.186 * [backup-simplify]: Simplify (/ 1 1) into 1
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.186 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.186 * [taylor]: Taking taylor expansion of re in im
3.186 * [backup-simplify]: Simplify re into re
3.186 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.187 * [backup-simplify]: Simplify (+ 1 0) into 1
3.187 * [backup-simplify]: Simplify (sqrt 1) into 1
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.189 * [taylor]: Taking taylor expansion of im in re
3.189 * [backup-simplify]: Simplify im into im
3.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [backup-simplify]: Simplify (+ 0 1) into 1
3.190 * [backup-simplify]: Simplify (sqrt 1) into 1
3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.191 * [backup-simplify]: Simplify (+ 0 0) into 0
3.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.192 * [taylor]: Taking taylor expansion of re in re
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.192 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.192 * [taylor]: Taking taylor expansion of im in re
3.192 * [backup-simplify]: Simplify im into im
3.192 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.193 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.193 * [taylor]: Taking taylor expansion of re in re
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.193 * [backup-simplify]: Simplify (* 1 1) into 1
3.193 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [backup-simplify]: Simplify (+ 0 1) into 1
3.198 * [backup-simplify]: Simplify (sqrt 1) into 1
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.199 * [backup-simplify]: Simplify (+ 0 0) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.200 * [backup-simplify]: Simplify (+ 1 1) into 2
3.200 * [taylor]: Taking taylor expansion of 2 in im
3.200 * [backup-simplify]: Simplify 2 into 2
3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (+ 0 0) into 0
3.201 * [taylor]: Taking taylor expansion of 0 in im
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 2 into 2
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.204 * [taylor]: Taking taylor expansion of 1/2 in im
3.204 * [backup-simplify]: Simplify 1/2 into 1/2
3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.204 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.204 * [taylor]: Taking taylor expansion of im in im
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 1 into 1
3.204 * [backup-simplify]: Simplify (* 1 1) into 1
3.205 * [backup-simplify]: Simplify (/ 1 1) into 1
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.209 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
3.212 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.212 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.212 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.212 * [taylor]: Taking taylor expansion of re in im
3.212 * [backup-simplify]: Simplify re into re
3.212 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.212 * [taylor]: Taking taylor expansion of im in im
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.212 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.212 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.212 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.212 * [backup-simplify]: Simplify (+ 0 0) into 0
3.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.212 * [taylor]: Taking taylor expansion of re in re
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.213 * [taylor]: Taking taylor expansion of im in re
3.213 * [backup-simplify]: Simplify im into im
3.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.213 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.213 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.213 * [taylor]: Taking taylor expansion of re in re
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 1 into 1
3.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.213 * [taylor]: Taking taylor expansion of im in re
3.213 * [backup-simplify]: Simplify im into im
3.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.214 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.214 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.214 * [taylor]: Taking taylor expansion of im in im
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [taylor]: Taking taylor expansion of 0 in im
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [backup-simplify]: Simplify (* 1 1) into 1
3.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.215 * [backup-simplify]: Simplify (+ 1 0) into 1
3.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.216 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.216 * [taylor]: Taking taylor expansion of 1/2 in im
3.216 * [backup-simplify]: Simplify 1/2 into 1/2
3.216 * [taylor]: Taking taylor expansion of im in im
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 1 into 1
3.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.218 * [backup-simplify]: Simplify (+ 0 0) into 0
3.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.218 * [taylor]: Taking taylor expansion of 0 in im
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.219 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.219 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.219 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.219 * [taylor]: Taking taylor expansion of im in im
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.220 * [backup-simplify]: Simplify (* 1 1) into 1
3.220 * [backup-simplify]: Simplify (/ 1 1) into 1
3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.220 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.220 * [taylor]: Taking taylor expansion of re in im
3.220 * [backup-simplify]: Simplify re into re
3.220 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.220 * [backup-simplify]: Simplify (+ 1 0) into 1
3.221 * [backup-simplify]: Simplify (sqrt 1) into 1
3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (+ 0 0) into 0
3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.222 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.222 * [taylor]: Taking taylor expansion of im in re
3.222 * [backup-simplify]: Simplify im into im
3.222 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.223 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.223 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.223 * [taylor]: Taking taylor expansion of re in re
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 1 into 1
3.223 * [backup-simplify]: Simplify (* 1 1) into 1
3.224 * [backup-simplify]: Simplify (/ 1 1) into 1
3.224 * [backup-simplify]: Simplify (+ 0 1) into 1
3.224 * [backup-simplify]: Simplify (sqrt 1) into 1
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ 0 0) into 0
3.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.227 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.227 * [taylor]: Taking taylor expansion of im in re
3.227 * [backup-simplify]: Simplify im into im
3.227 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.228 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.228 * [taylor]: Taking taylor expansion of re in re
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.228 * [backup-simplify]: Simplify (* 1 1) into 1
3.228 * [backup-simplify]: Simplify (/ 1 1) into 1
3.229 * [backup-simplify]: Simplify (+ 0 1) into 1
3.229 * [backup-simplify]: Simplify (sqrt 1) into 1
3.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (+ 0 0) into 0
3.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.232 * [taylor]: Taking taylor expansion of 1 in im
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [taylor]: Taking taylor expansion of 0 in im
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.236 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.236 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.236 * [taylor]: Taking taylor expansion of 1/2 in im
3.236 * [backup-simplify]: Simplify 1/2 into 1/2
3.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.236 * [taylor]: Taking taylor expansion of im in im
3.236 * [backup-simplify]: Simplify 0 into 0
3.236 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify (* 1 1) into 1
3.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.241 * [taylor]: Taking taylor expansion of 0 in im
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.243 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.243 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.243 * [taylor]: Taking taylor expansion of im in im
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 1 into 1
3.243 * [backup-simplify]: Simplify (* 1 1) into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.243 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.243 * [taylor]: Taking taylor expansion of re in im
3.243 * [backup-simplify]: Simplify re into re
3.243 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.244 * [backup-simplify]: Simplify (+ 1 0) into 1
3.244 * [backup-simplify]: Simplify (sqrt 1) into 1
3.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.246 * [taylor]: Taking taylor expansion of im in re
3.246 * [backup-simplify]: Simplify im into im
3.246 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.246 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.246 * [taylor]: Taking taylor expansion of re in re
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 1 into 1
3.246 * [backup-simplify]: Simplify (* 1 1) into 1
3.247 * [backup-simplify]: Simplify (/ 1 1) into 1
3.247 * [backup-simplify]: Simplify (+ 0 1) into 1
3.247 * [backup-simplify]: Simplify (sqrt 1) into 1
3.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.249 * [taylor]: Taking taylor expansion of im in re
3.249 * [backup-simplify]: Simplify im into im
3.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.249 * [taylor]: Taking taylor expansion of re in re
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* 1 1) into 1
3.249 * [backup-simplify]: Simplify (/ 1 1) into 1
3.250 * [backup-simplify]: Simplify (+ 0 1) into 1
3.250 * [backup-simplify]: Simplify (sqrt 1) into 1
3.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.252 * [taylor]: Taking taylor expansion of 1 in im
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [taylor]: Taking taylor expansion of 0 in im
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.254 * [taylor]: Taking taylor expansion of 1/2 in im
3.254 * [backup-simplify]: Simplify 1/2 into 1/2
3.254 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.254 * [taylor]: Taking taylor expansion of im in im
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [backup-simplify]: Simplify (* 1 1) into 1
3.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.258 * [taylor]: Taking taylor expansion of 0 in im
3.258 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.260 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1)
3.260 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
3.260 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
3.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.260 * [taylor]: Taking taylor expansion of re in im
3.260 * [backup-simplify]: Simplify re into re
3.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.260 * [taylor]: Taking taylor expansion of im in im
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.260 * [taylor]: Taking taylor expansion of re in re
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.260 * [taylor]: Taking taylor expansion of im in re
3.260 * [backup-simplify]: Simplify im into im
3.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.260 * [taylor]: Taking taylor expansion of re in re
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.260 * [taylor]: Taking taylor expansion of im in re
3.260 * [backup-simplify]: Simplify im into im
3.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.261 * [taylor]: Taking taylor expansion of im in im
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.261 * [backup-simplify]: Simplify (+ 0 0) into 0
3.261 * [taylor]: Taking taylor expansion of 0 in im
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.262 * [backup-simplify]: Simplify (+ 1 0) into 1
3.262 * [taylor]: Taking taylor expansion of 1 in im
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify (* 1 1) into 1
3.262 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.264 * [backup-simplify]: Simplify (+ 0 0) into 0
3.264 * [taylor]: Taking taylor expansion of 0 in im
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.266 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [taylor]: Taking taylor expansion of 0 in im
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
3.267 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
3.267 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.267 * [taylor]: Taking taylor expansion of im in im
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (/ 1 1) into 1
3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.268 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.268 * [taylor]: Taking taylor expansion of re in im
3.268 * [backup-simplify]: Simplify re into re
3.268 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.269 * [taylor]: Taking taylor expansion of im in re
3.269 * [backup-simplify]: Simplify im into im
3.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.269 * [taylor]: Taking taylor expansion of re in re
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (/ 1 1) into 1
3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.270 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.270 * [taylor]: Taking taylor expansion of im in re
3.270 * [backup-simplify]: Simplify im into im
3.270 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.270 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.270 * [taylor]: Taking taylor expansion of re in re
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (* 1 1) into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.272 * [backup-simplify]: Simplify (+ 0 1) into 1
3.272 * [taylor]: Taking taylor expansion of 1 in im
3.272 * [backup-simplify]: Simplify 1 into 1
3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (+ 0 0) into 0
3.274 * [taylor]: Taking taylor expansion of 0 in im
3.274 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.276 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.276 * [taylor]: Taking taylor expansion of im in im
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify (* 1 1) into 1
3.277 * [backup-simplify]: Simplify (/ 1 1) into 1
3.277 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [taylor]: Taking taylor expansion of 0 in im
3.281 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [taylor]: Taking taylor expansion of 0 in im
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
3.289 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
3.289 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.290 * [taylor]: Taking taylor expansion of im in im
3.290 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify 1 into 1
3.290 * [backup-simplify]: Simplify (* 1 1) into 1
3.290 * [backup-simplify]: Simplify (/ 1 1) into 1
3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.290 * [taylor]: Taking taylor expansion of re in im
3.290 * [backup-simplify]: Simplify re into re
3.291 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.291 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.291 * [taylor]: Taking taylor expansion of im in re
3.291 * [backup-simplify]: Simplify im into im
3.291 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.291 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.291 * [taylor]: Taking taylor expansion of re in re
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.292 * [backup-simplify]: Simplify (* 1 1) into 1
3.292 * [backup-simplify]: Simplify (/ 1 1) into 1
3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.292 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.292 * [taylor]: Taking taylor expansion of im in re
3.292 * [backup-simplify]: Simplify im into im
3.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.293 * [taylor]: Taking taylor expansion of re in re
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 1 into 1
3.293 * [backup-simplify]: Simplify (* 1 1) into 1
3.293 * [backup-simplify]: Simplify (/ 1 1) into 1
3.294 * [backup-simplify]: Simplify (+ 0 1) into 1
3.294 * [taylor]: Taking taylor expansion of 1 in im
3.294 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [taylor]: Taking taylor expansion of 0 in im
3.296 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.298 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.298 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.298 * [taylor]: Taking taylor expansion of im in im
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (* 1 1) into 1
3.299 * [backup-simplify]: Simplify (/ 1 1) into 1
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [taylor]: Taking taylor expansion of 0 in im
3.302 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [taylor]: Taking taylor expansion of 0 in im
3.307 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
3.310 * * * [progress]: simplifying candidates
3.312 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (exp (log (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 (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (- re)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (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)
  im
  re
  (* -1 re)
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
  (+ (pow re 2) (pow im 2))
4.373 * * * [progress]: adding candidates to table
4.638 * * [progress]: iteration 3 / 4
4.639 * * * [progress]: picking best candidate
4.655 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))>
4.655 * * * [progress]: localizing error
4.677 * * * [progress]: generating rewritten candidates
4.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
4.686 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1)
4.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1)
4.808 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
4.875 * * * [progress]: generating series expansions
4.875 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
4.875 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.875 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.875 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.875 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.875 * [taylor]: Taking taylor expansion of re in im
4.875 * [backup-simplify]: Simplify re into re
4.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.875 * [taylor]: Taking taylor expansion of im in im
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.875 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.875 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.876 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.876 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.876 * [backup-simplify]: Simplify (+ 0 0) into 0
4.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.876 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.876 * [taylor]: Taking taylor expansion of re in re
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.876 * [taylor]: Taking taylor expansion of im in re
4.876 * [backup-simplify]: Simplify im into im
4.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.877 * [backup-simplify]: Simplify (+ 0 0) into 0
4.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.877 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.877 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.877 * [taylor]: Taking taylor expansion of re in re
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify 1 into 1
4.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.877 * [taylor]: Taking taylor expansion of im in re
4.877 * [backup-simplify]: Simplify im into im
4.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.878 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.878 * [backup-simplify]: Simplify (+ 0 0) into 0
4.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.878 * [taylor]: Taking taylor expansion of im in im
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 1 into 1
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [taylor]: Taking taylor expansion of 0 in im
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 1 into 1
4.879 * [backup-simplify]: Simplify (* 1 1) into 1
4.879 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.879 * [backup-simplify]: Simplify (+ 1 0) into 1
4.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.880 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.880 * [taylor]: Taking taylor expansion of 1/2 in im
4.880 * [backup-simplify]: Simplify 1/2 into 1/2
4.880 * [taylor]: Taking taylor expansion of im in im
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.882 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.882 * [backup-simplify]: Simplify (+ 0 0) into 0
4.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.882 * [taylor]: Taking taylor expansion of 0 in im
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.883 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.883 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.883 * [taylor]: Taking taylor expansion of im in im
4.883 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify 1 into 1
4.883 * [backup-simplify]: Simplify (* 1 1) into 1
4.884 * [backup-simplify]: Simplify (/ 1 1) into 1
4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.884 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.884 * [taylor]: Taking taylor expansion of re in im
4.884 * [backup-simplify]: Simplify re into re
4.884 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.884 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.884 * [backup-simplify]: Simplify (+ 1 0) into 1
4.885 * [backup-simplify]: Simplify (sqrt 1) into 1
4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.886 * [backup-simplify]: Simplify (+ 0 0) into 0
4.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.886 * [taylor]: Taking taylor expansion of im in re
4.886 * [backup-simplify]: Simplify im into im
4.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.886 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.886 * [taylor]: Taking taylor expansion of re in re
4.886 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify 1 into 1
4.887 * [backup-simplify]: Simplify (* 1 1) into 1
4.887 * [backup-simplify]: Simplify (/ 1 1) into 1
4.888 * [backup-simplify]: Simplify (+ 0 1) into 1
4.888 * [backup-simplify]: Simplify (sqrt 1) into 1
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.890 * [backup-simplify]: Simplify (+ 0 0) into 0
4.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.891 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.891 * [taylor]: Taking taylor expansion of im in re
4.891 * [backup-simplify]: Simplify im into im
4.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.891 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.891 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.891 * [taylor]: Taking taylor expansion of re in re
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify 1 into 1
4.892 * [backup-simplify]: Simplify (* 1 1) into 1
4.892 * [backup-simplify]: Simplify (/ 1 1) into 1
4.892 * [backup-simplify]: Simplify (+ 0 1) into 1
4.893 * [backup-simplify]: Simplify (sqrt 1) into 1
4.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (+ 0 0) into 0
4.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.896 * [taylor]: Taking taylor expansion of 1 in im
4.896 * [backup-simplify]: Simplify 1 into 1
4.896 * [taylor]: Taking taylor expansion of 0 in im
4.896 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify 1 into 1
4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.898 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.899 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.899 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.899 * [taylor]: Taking taylor expansion of 1/2 in im
4.899 * [backup-simplify]: Simplify 1/2 into 1/2
4.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.899 * [taylor]: Taking taylor expansion of im in im
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.900 * [backup-simplify]: Simplify (* 1 1) into 1
4.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify (+ 0 0) into 0
4.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.906 * [taylor]: Taking taylor expansion of 0 in im
4.906 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.908 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.908 * [taylor]: Taking taylor expansion of im in im
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (* 1 1) into 1
4.908 * [backup-simplify]: Simplify (/ 1 1) into 1
4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.908 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.908 * [taylor]: Taking taylor expansion of re in im
4.908 * [backup-simplify]: Simplify re into re
4.908 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.909 * [backup-simplify]: Simplify (+ 1 0) into 1
4.909 * [backup-simplify]: Simplify (sqrt 1) into 1
4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify (+ 0 0) into 0
4.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.911 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.911 * [taylor]: Taking taylor expansion of im in re
4.911 * [backup-simplify]: Simplify im into im
4.911 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.911 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.911 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.911 * [taylor]: Taking taylor expansion of re in re
4.911 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify 1 into 1
4.911 * [backup-simplify]: Simplify (* 1 1) into 1
4.912 * [backup-simplify]: Simplify (/ 1 1) into 1
4.912 * [backup-simplify]: Simplify (+ 0 1) into 1
4.912 * [backup-simplify]: Simplify (sqrt 1) into 1
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.913 * [backup-simplify]: Simplify (+ 0 0) into 0
4.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.914 * [taylor]: Taking taylor expansion of im in re
4.914 * [backup-simplify]: Simplify im into im
4.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.914 * [taylor]: Taking taylor expansion of re in re
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 1 into 1
4.914 * [backup-simplify]: Simplify (* 1 1) into 1
4.915 * [backup-simplify]: Simplify (/ 1 1) into 1
4.915 * [backup-simplify]: Simplify (+ 0 1) into 1
4.915 * [backup-simplify]: Simplify (sqrt 1) into 1
4.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.916 * [backup-simplify]: Simplify (+ 0 0) into 0
4.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.917 * [taylor]: Taking taylor expansion of 1 in im
4.917 * [backup-simplify]: Simplify 1 into 1
4.917 * [taylor]: Taking taylor expansion of 0 in im
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 1 into 1
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.919 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.919 * [taylor]: Taking taylor expansion of 1/2 in im
4.919 * [backup-simplify]: Simplify 1/2 into 1/2
4.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.919 * [taylor]: Taking taylor expansion of im in im
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.919 * [backup-simplify]: Simplify (* 1 1) into 1
4.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.926 * [backup-simplify]: Simplify (+ 0 0) into 0
4.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.927 * [taylor]: Taking taylor expansion of 0 in im
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.928 * [backup-simplify]: Simplify 0 into 0
4.928 * [backup-simplify]: Simplify 0 into 0
4.928 * [backup-simplify]: Simplify 0 into 0
4.928 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.928 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1)
4.928 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
4.928 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
4.928 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
4.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.928 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.928 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.928 * [taylor]: Taking taylor expansion of re in im
4.928 * [backup-simplify]: Simplify re into re
4.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.929 * [taylor]: Taking taylor expansion of im in im
4.929 * [backup-simplify]: Simplify 0 into 0
4.929 * [backup-simplify]: Simplify 1 into 1
4.929 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.929 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.929 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.929 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.929 * [backup-simplify]: Simplify (+ 0 0) into 0
4.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.929 * [taylor]: Taking taylor expansion of re in im
4.929 * [backup-simplify]: Simplify re into re
4.929 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.929 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.929 * [taylor]: Taking taylor expansion of re in re
4.929 * [backup-simplify]: Simplify 0 into 0
4.929 * [backup-simplify]: Simplify 1 into 1
4.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.929 * [taylor]: Taking taylor expansion of im in re
4.929 * [backup-simplify]: Simplify im into im
4.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.930 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.930 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.930 * [backup-simplify]: Simplify (+ 0 0) into 0
4.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.930 * [taylor]: Taking taylor expansion of re in re
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 1 into 1
4.930 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
4.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.930 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.930 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.930 * [taylor]: Taking taylor expansion of re in re
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 1 into 1
4.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.930 * [taylor]: Taking taylor expansion of im in re
4.930 * [backup-simplify]: Simplify im into im
4.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.931 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.931 * [backup-simplify]: Simplify (+ 0 0) into 0
4.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.931 * [taylor]: Taking taylor expansion of re in re
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 1 into 1
4.931 * [backup-simplify]: Simplify (- 0) into 0
4.931 * [backup-simplify]: Simplify (+ im 0) into im
4.931 * [taylor]: Taking taylor expansion of im in im
4.931 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (- 1) into -1
4.932 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.932 * [taylor]: Taking taylor expansion of -1 in im
4.932 * [backup-simplify]: Simplify -1 into -1
4.932 * [backup-simplify]: Simplify -1 into -1
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (* 1 1) into 1
4.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.933 * [backup-simplify]: Simplify (+ 1 0) into 1
4.934 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.934 * [backup-simplify]: Simplify (- 0) into 0
4.934 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.934 * [taylor]: Taking taylor expansion of 1/2 in im
4.934 * [backup-simplify]: Simplify 1/2 into 1/2
4.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.934 * [taylor]: Taking taylor expansion of im in im
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 1 into 1
4.934 * [backup-simplify]: Simplify (/ 1 1) into 1
4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.936 * [backup-simplify]: Simplify (+ 0 0) into 0
4.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.937 * [backup-simplify]: Simplify (- 0) into 0
4.937 * [backup-simplify]: Simplify (+ 0 0) into 0
4.937 * [taylor]: Taking taylor expansion of 0 in im
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.938 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
4.939 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.939 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.939 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.939 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.939 * [taylor]: Taking taylor expansion of im in im
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 1 into 1
4.939 * [backup-simplify]: Simplify (* 1 1) into 1
4.939 * [backup-simplify]: Simplify (/ 1 1) into 1
4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.940 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.940 * [taylor]: Taking taylor expansion of re in im
4.940 * [backup-simplify]: Simplify re into re
4.940 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.940 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.940 * [backup-simplify]: Simplify (+ 1 0) into 1
4.940 * [backup-simplify]: Simplify (sqrt 1) into 1
4.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.942 * [taylor]: Taking taylor expansion of re in im
4.942 * [backup-simplify]: Simplify re into re
4.942 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.942 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.942 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.942 * [taylor]: Taking taylor expansion of im in re
4.942 * [backup-simplify]: Simplify im into im
4.942 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.942 * [taylor]: Taking taylor expansion of re in re
4.942 * [backup-simplify]: Simplify 0 into 0
4.942 * [backup-simplify]: Simplify 1 into 1
4.943 * [backup-simplify]: Simplify (* 1 1) into 1
4.943 * [backup-simplify]: Simplify (/ 1 1) into 1
4.943 * [backup-simplify]: Simplify (+ 0 1) into 1
4.943 * [backup-simplify]: Simplify (sqrt 1) into 1
4.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.945 * [backup-simplify]: Simplify (+ 0 0) into 0
4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.945 * [taylor]: Taking taylor expansion of re in re
4.945 * [backup-simplify]: Simplify 0 into 0
4.945 * [backup-simplify]: Simplify 1 into 1
4.946 * [backup-simplify]: Simplify (/ 1 1) into 1
4.946 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.946 * [taylor]: Taking taylor expansion of im in re
4.946 * [backup-simplify]: Simplify im into im
4.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.946 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.946 * [taylor]: Taking taylor expansion of re in re
4.946 * [backup-simplify]: Simplify 0 into 0
4.946 * [backup-simplify]: Simplify 1 into 1
4.946 * [backup-simplify]: Simplify (* 1 1) into 1
4.947 * [backup-simplify]: Simplify (/ 1 1) into 1
4.947 * [backup-simplify]: Simplify (+ 0 1) into 1
4.947 * [backup-simplify]: Simplify (sqrt 1) into 1
4.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.948 * [backup-simplify]: Simplify (+ 0 0) into 0
4.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.949 * [taylor]: Taking taylor expansion of re in re
4.949 * [backup-simplify]: Simplify 0 into 0
4.949 * [backup-simplify]: Simplify 1 into 1
4.949 * [backup-simplify]: Simplify (/ 1 1) into 1
4.949 * [backup-simplify]: Simplify (- 1) into -1
4.950 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.950 * [taylor]: Taking taylor expansion of 0 in im
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.950 * [backup-simplify]: Simplify (- 0) into 0
4.951 * [backup-simplify]: Simplify (+ 0 0) into 0
4.951 * [taylor]: Taking taylor expansion of 0 in im
4.951 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.952 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.953 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.954 * [backup-simplify]: Simplify (- 0) into 0
4.954 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.954 * [taylor]: Taking taylor expansion of 1/2 in im
4.954 * [backup-simplify]: Simplify 1/2 into 1/2
4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.954 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.954 * [taylor]: Taking taylor expansion of im in im
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 1 into 1
4.954 * [backup-simplify]: Simplify (* 1 1) into 1
4.954 * [backup-simplify]: Simplify (/ 1 1) into 1
4.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (+ 0 0) into 0
4.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.962 * [backup-simplify]: Simplify (- 0) into 0
4.962 * [backup-simplify]: Simplify (+ 0 0) into 0
4.962 * [taylor]: Taking taylor expansion of 0 in im
4.962 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.966 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.966 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.966 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.966 * [taylor]: Taking taylor expansion of re in im
4.966 * [backup-simplify]: Simplify re into re
4.966 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.966 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.966 * [taylor]: Taking taylor expansion of im in im
4.966 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify 1 into 1
4.967 * [backup-simplify]: Simplify (* 1 1) into 1
4.967 * [backup-simplify]: Simplify (/ 1 1) into 1
4.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.967 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.967 * [taylor]: Taking taylor expansion of re in im
4.967 * [backup-simplify]: Simplify re into re
4.967 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.968 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.968 * [backup-simplify]: Simplify (+ 1 0) into 1
4.968 * [backup-simplify]: Simplify (sqrt 1) into 1
4.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.970 * [backup-simplify]: Simplify (+ 0 0) into 0
4.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.971 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.971 * [taylor]: Taking taylor expansion of re in re
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 1 into 1
4.972 * [backup-simplify]: Simplify (/ 1 1) into 1
4.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.972 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.972 * [taylor]: Taking taylor expansion of im in re
4.972 * [backup-simplify]: Simplify im into im
4.972 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.972 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.972 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.972 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.972 * [taylor]: Taking taylor expansion of re in re
4.972 * [backup-simplify]: Simplify 0 into 0
4.972 * [backup-simplify]: Simplify 1 into 1
4.972 * [backup-simplify]: Simplify (* 1 1) into 1
4.972 * [backup-simplify]: Simplify (/ 1 1) into 1
4.973 * [backup-simplify]: Simplify (+ 0 1) into 1
4.973 * [backup-simplify]: Simplify (sqrt 1) into 1
4.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.974 * [backup-simplify]: Simplify (+ 0 0) into 0
4.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.975 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.975 * [taylor]: Taking taylor expansion of re in re
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 1 into 1
4.975 * [backup-simplify]: Simplify (/ 1 1) into 1
4.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.975 * [taylor]: Taking taylor expansion of im in re
4.975 * [backup-simplify]: Simplify im into im
4.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.975 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.975 * [taylor]: Taking taylor expansion of re in re
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 1 into 1
4.976 * [backup-simplify]: Simplify (* 1 1) into 1
4.976 * [backup-simplify]: Simplify (/ 1 1) into 1
4.976 * [backup-simplify]: Simplify (+ 0 1) into 1
4.976 * [backup-simplify]: Simplify (sqrt 1) into 1
4.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (+ 0 0) into 0
4.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.978 * [backup-simplify]: Simplify (+ 1 1) into 2
4.978 * [taylor]: Taking taylor expansion of 2 in im
4.978 * [backup-simplify]: Simplify 2 into 2
4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.979 * [backup-simplify]: Simplify (+ 0 0) into 0
4.979 * [taylor]: Taking taylor expansion of 0 in im
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 2 into 2
4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.981 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.982 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.982 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.982 * [taylor]: Taking taylor expansion of 1/2 in im
4.982 * [backup-simplify]: Simplify 1/2 into 1/2
4.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.982 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.982 * [taylor]: Taking taylor expansion of im in im
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.983 * [backup-simplify]: Simplify (/ 1 1) into 1
4.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.984 * [backup-simplify]: Simplify 0 into 0
4.984 * [backup-simplify]: Simplify 0 into 0
4.984 * [backup-simplify]: Simplify 0 into 0
4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.985 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.986 * [backup-simplify]: Simplify (+ 0 0) into 0
4.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.987 * [backup-simplify]: Simplify (+ 0 0) into 0
4.987 * [taylor]: Taking taylor expansion of 0 in im
4.987 * [backup-simplify]: Simplify 0 into 0
4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
4.989 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1)
4.989 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
4.989 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.989 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.989 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.989 * [taylor]: Taking taylor expansion of re in im
4.989 * [backup-simplify]: Simplify re into re
4.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.989 * [taylor]: Taking taylor expansion of im in im
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 1 into 1
4.989 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.989 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.990 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.990 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.990 * [backup-simplify]: Simplify (+ 0 0) into 0
4.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.990 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.990 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.990 * [taylor]: Taking taylor expansion of re in re
4.990 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify 1 into 1
4.990 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.990 * [taylor]: Taking taylor expansion of im in re
4.990 * [backup-simplify]: Simplify im into im
4.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.990 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.990 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.991 * [backup-simplify]: Simplify (+ 0 0) into 0
4.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.991 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.991 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.991 * [taylor]: Taking taylor expansion of re in re
4.991 * [backup-simplify]: Simplify 0 into 0
4.991 * [backup-simplify]: Simplify 1 into 1
4.991 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.991 * [taylor]: Taking taylor expansion of im in re
4.991 * [backup-simplify]: Simplify im into im
4.991 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.991 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.991 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.992 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.992 * [taylor]: Taking taylor expansion of im in im
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 1 into 1
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [taylor]: Taking taylor expansion of 0 in im
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 1 into 1
4.992 * [backup-simplify]: Simplify (* 1 1) into 1
4.993 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.993 * [backup-simplify]: Simplify (+ 1 0) into 1
4.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.994 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.994 * [taylor]: Taking taylor expansion of 1/2 in im
4.994 * [backup-simplify]: Simplify 1/2 into 1/2
4.994 * [taylor]: Taking taylor expansion of im in im
4.994 * [backup-simplify]: Simplify 0 into 0
4.994 * [backup-simplify]: Simplify 1 into 1
4.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.996 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.996 * [backup-simplify]: Simplify (+ 0 0) into 0
4.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.996 * [taylor]: Taking taylor expansion of 0 in im
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.997 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.998 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.998 * [taylor]: Taking taylor expansion of im in im
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 1 into 1
4.998 * [backup-simplify]: Simplify (* 1 1) into 1
4.998 * [backup-simplify]: Simplify (/ 1 1) into 1
4.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.998 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.998 * [taylor]: Taking taylor expansion of re in im
4.998 * [backup-simplify]: Simplify re into re
4.998 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.999 * [backup-simplify]: Simplify (+ 1 0) into 1
4.999 * [backup-simplify]: Simplify (sqrt 1) into 1
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.002 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.002 * [taylor]: Taking taylor expansion of im in re
5.002 * [backup-simplify]: Simplify im into im
5.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.002 * [taylor]: Taking taylor expansion of re in re
5.002 * [backup-simplify]: Simplify 0 into 0
5.002 * [backup-simplify]: Simplify 1 into 1
5.003 * [backup-simplify]: Simplify (* 1 1) into 1
5.003 * [backup-simplify]: Simplify (/ 1 1) into 1
5.004 * [backup-simplify]: Simplify (+ 0 1) into 1
5.004 * [backup-simplify]: Simplify (sqrt 1) into 1
5.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.006 * [backup-simplify]: Simplify (+ 0 0) into 0
5.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.007 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.007 * [taylor]: Taking taylor expansion of im in re
5.007 * [backup-simplify]: Simplify im into im
5.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.007 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.007 * [taylor]: Taking taylor expansion of re in re
5.007 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify 1 into 1
5.008 * [backup-simplify]: Simplify (* 1 1) into 1
5.008 * [backup-simplify]: Simplify (/ 1 1) into 1
5.008 * [backup-simplify]: Simplify (+ 0 1) into 1
5.009 * [backup-simplify]: Simplify (sqrt 1) into 1
5.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.011 * [backup-simplify]: Simplify (+ 0 0) into 0
5.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.012 * [taylor]: Taking taylor expansion of 1 in im
5.012 * [backup-simplify]: Simplify 1 into 1
5.012 * [taylor]: Taking taylor expansion of 0 in im
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 1 into 1
5.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.014 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.015 * [taylor]: Taking taylor expansion of 1/2 in im
5.015 * [backup-simplify]: Simplify 1/2 into 1/2
5.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.015 * [taylor]: Taking taylor expansion of im in im
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.016 * [backup-simplify]: Simplify (* 1 1) into 1
5.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (+ 0 0) into 0
5.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.022 * [taylor]: Taking taylor expansion of 0 in im
5.022 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.025 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
5.025 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
5.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.025 * [taylor]: Taking taylor expansion of im in im
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 1 into 1
5.025 * [backup-simplify]: Simplify (* 1 1) into 1
5.026 * [backup-simplify]: Simplify (/ 1 1) into 1
5.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.026 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.026 * [taylor]: Taking taylor expansion of re in im
5.026 * [backup-simplify]: Simplify re into re
5.026 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.026 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.027 * [backup-simplify]: Simplify (+ 1 0) into 1
5.027 * [backup-simplify]: Simplify (sqrt 1) into 1
5.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.029 * [backup-simplify]: Simplify (+ 0 0) into 0
5.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.030 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.030 * [taylor]: Taking taylor expansion of im in re
5.030 * [backup-simplify]: Simplify im into im
5.030 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.030 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.030 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.030 * [taylor]: Taking taylor expansion of re in re
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 1 into 1
5.031 * [backup-simplify]: Simplify (* 1 1) into 1
5.031 * [backup-simplify]: Simplify (/ 1 1) into 1
5.031 * [backup-simplify]: Simplify (+ 0 1) into 1
5.032 * [backup-simplify]: Simplify (sqrt 1) into 1
5.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.034 * [backup-simplify]: Simplify (+ 0 0) into 0
5.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.035 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.035 * [taylor]: Taking taylor expansion of im in re
5.035 * [backup-simplify]: Simplify im into im
5.035 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.035 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.035 * [taylor]: Taking taylor expansion of re in re
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 1 into 1
5.036 * [backup-simplify]: Simplify (* 1 1) into 1
5.036 * [backup-simplify]: Simplify (/ 1 1) into 1
5.036 * [backup-simplify]: Simplify (+ 0 1) into 1
5.037 * [backup-simplify]: Simplify (sqrt 1) into 1
5.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.039 * [backup-simplify]: Simplify (+ 0 0) into 0
5.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.040 * [taylor]: Taking taylor expansion of 1 in im
5.040 * [backup-simplify]: Simplify 1 into 1
5.040 * [taylor]: Taking taylor expansion of 0 in im
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.042 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.043 * [taylor]: Taking taylor expansion of 1/2 in im
5.044 * [backup-simplify]: Simplify 1/2 into 1/2
5.044 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.044 * [taylor]: Taking taylor expansion of im in im
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify 1 into 1
5.044 * [backup-simplify]: Simplify (* 1 1) into 1
5.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ 0 0) into 0
5.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.050 * [taylor]: Taking taylor expansion of 0 in im
5.050 * [backup-simplify]: Simplify 0 into 0
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
5.060 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
5.060 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
5.060 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.060 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.060 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.060 * [taylor]: Taking taylor expansion of re in im
5.060 * [backup-simplify]: Simplify re into re
5.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.060 * [taylor]: Taking taylor expansion of im in im
5.060 * [backup-simplify]: Simplify 0 into 0
5.060 * [backup-simplify]: Simplify 1 into 1
5.060 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.060 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.060 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.060 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.061 * [backup-simplify]: Simplify (+ 0 0) into 0
5.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.061 * [taylor]: Taking taylor expansion of re in im
5.061 * [backup-simplify]: Simplify re into re
5.061 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
5.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.061 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.061 * [taylor]: Taking taylor expansion of re in re
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 1 into 1
5.061 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.061 * [taylor]: Taking taylor expansion of im in re
5.061 * [backup-simplify]: Simplify im into im
5.061 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.062 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.062 * [backup-simplify]: Simplify (+ 0 0) into 0
5.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.062 * [taylor]: Taking taylor expansion of re in re
5.062 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
5.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.063 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.063 * [taylor]: Taking taylor expansion of re in re
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.063 * [taylor]: Taking taylor expansion of im in re
5.063 * [backup-simplify]: Simplify im into im
5.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.063 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.063 * [backup-simplify]: Simplify (+ 0 0) into 0
5.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.063 * [taylor]: Taking taylor expansion of re in re
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.064 * [backup-simplify]: Simplify (- 0) into 0
5.064 * [backup-simplify]: Simplify (+ im 0) into im
5.064 * [taylor]: Taking taylor expansion of im in im
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 1 into 1
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (- 1) into -1
5.064 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.064 * [taylor]: Taking taylor expansion of -1 in im
5.065 * [backup-simplify]: Simplify -1 into -1
5.065 * [backup-simplify]: Simplify -1 into -1
5.065 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (* 1 1) into 1
5.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.065 * [backup-simplify]: Simplify (+ 1 0) into 1
5.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.066 * [backup-simplify]: Simplify (- 0) into 0
5.066 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
5.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.066 * [taylor]: Taking taylor expansion of 1/2 in im
5.066 * [backup-simplify]: Simplify 1/2 into 1/2
5.066 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.066 * [taylor]: Taking taylor expansion of im in im
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 1 into 1
5.067 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.069 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.069 * [backup-simplify]: Simplify (- 0) into 0
5.069 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [taylor]: Taking taylor expansion of 0 in im
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
5.071 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
5.071 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
5.071 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.071 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.071 * [taylor]: Taking taylor expansion of im in im
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 1 into 1
5.072 * [backup-simplify]: Simplify (* 1 1) into 1
5.072 * [backup-simplify]: Simplify (/ 1 1) into 1
5.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.072 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.072 * [taylor]: Taking taylor expansion of re in im
5.072 * [backup-simplify]: Simplify re into re
5.072 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.072 * [backup-simplify]: Simplify (+ 1 0) into 1
5.073 * [backup-simplify]: Simplify (sqrt 1) into 1
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.074 * [backup-simplify]: Simplify (+ 0 0) into 0
5.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.074 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.074 * [taylor]: Taking taylor expansion of re in im
5.074 * [backup-simplify]: Simplify re into re
5.074 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.075 * [taylor]: Taking taylor expansion of im in re
5.075 * [backup-simplify]: Simplify im into im
5.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.075 * [taylor]: Taking taylor expansion of re in re
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (/ 1 1) into 1
5.076 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.077 * [backup-simplify]: Simplify (+ 0 0) into 0
5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.077 * [taylor]: Taking taylor expansion of re in re
5.077 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [backup-simplify]: Simplify (/ 1 1) into 1
5.078 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.078 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.078 * [taylor]: Taking taylor expansion of im in re
5.078 * [backup-simplify]: Simplify im into im
5.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.078 * [taylor]: Taking taylor expansion of re in re
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [backup-simplify]: Simplify (* 1 1) into 1
5.079 * [backup-simplify]: Simplify (/ 1 1) into 1
5.079 * [backup-simplify]: Simplify (+ 0 1) into 1
5.079 * [backup-simplify]: Simplify (sqrt 1) into 1
5.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.080 * [backup-simplify]: Simplify (+ 0 0) into 0
5.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.081 * [taylor]: Taking taylor expansion of re in re
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify (/ 1 1) into 1
5.081 * [backup-simplify]: Simplify (- 1) into -1
5.082 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.082 * [taylor]: Taking taylor expansion of 0 in im
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.082 * [backup-simplify]: Simplify (- 0) into 0
5.083 * [backup-simplify]: Simplify (+ 0 0) into 0
5.083 * [taylor]: Taking taylor expansion of 0 in im
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.084 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (- 0) into 0
5.086 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.086 * [taylor]: Taking taylor expansion of 1/2 in im
5.086 * [backup-simplify]: Simplify 1/2 into 1/2
5.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.086 * [taylor]: Taking taylor expansion of im in im
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify 1 into 1
5.086 * [backup-simplify]: Simplify (* 1 1) into 1
5.087 * [backup-simplify]: Simplify (/ 1 1) into 1
5.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify (+ 0 0) into 0
5.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.091 * [backup-simplify]: Simplify (- 0) into 0
5.091 * [backup-simplify]: Simplify (+ 0 0) into 0
5.091 * [taylor]: Taking taylor expansion of 0 in im
5.091 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
5.093 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.093 * [taylor]: Taking taylor expansion of re in im
5.093 * [backup-simplify]: Simplify re into re
5.094 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.094 * [taylor]: Taking taylor expansion of im in im
5.094 * [backup-simplify]: Simplify 0 into 0
5.094 * [backup-simplify]: Simplify 1 into 1
5.094 * [backup-simplify]: Simplify (* 1 1) into 1
5.094 * [backup-simplify]: Simplify (/ 1 1) into 1
5.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.094 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.094 * [taylor]: Taking taylor expansion of re in im
5.094 * [backup-simplify]: Simplify re into re
5.094 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.094 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.095 * [backup-simplify]: Simplify (+ 1 0) into 1
5.095 * [backup-simplify]: Simplify (sqrt 1) into 1
5.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.097 * [backup-simplify]: Simplify (+ 0 0) into 0
5.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.098 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.098 * [taylor]: Taking taylor expansion of re in re
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 1 into 1
5.098 * [backup-simplify]: Simplify (/ 1 1) into 1
5.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.098 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.098 * [taylor]: Taking taylor expansion of im in re
5.098 * [backup-simplify]: Simplify im into im
5.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.099 * [taylor]: Taking taylor expansion of re in re
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify 1 into 1
5.099 * [backup-simplify]: Simplify (* 1 1) into 1
5.100 * [backup-simplify]: Simplify (/ 1 1) into 1
5.100 * [backup-simplify]: Simplify (+ 0 1) into 1
5.100 * [backup-simplify]: Simplify (sqrt 1) into 1
5.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (+ 0 0) into 0
5.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.103 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.103 * [taylor]: Taking taylor expansion of re in re
5.103 * [backup-simplify]: Simplify 0 into 0
5.103 * [backup-simplify]: Simplify 1 into 1
5.103 * [backup-simplify]: Simplify (/ 1 1) into 1
5.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.103 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.103 * [taylor]: Taking taylor expansion of im in re
5.103 * [backup-simplify]: Simplify im into im
5.103 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.104 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.104 * [taylor]: Taking taylor expansion of re in re
5.104 * [backup-simplify]: Simplify 0 into 0
5.104 * [backup-simplify]: Simplify 1 into 1
5.104 * [backup-simplify]: Simplify (* 1 1) into 1
5.104 * [backup-simplify]: Simplify (/ 1 1) into 1
5.105 * [backup-simplify]: Simplify (+ 0 1) into 1
5.105 * [backup-simplify]: Simplify (sqrt 1) into 1
5.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.107 * [backup-simplify]: Simplify (+ 0 0) into 0
5.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.108 * [backup-simplify]: Simplify (+ 1 1) into 2
5.108 * [taylor]: Taking taylor expansion of 2 in im
5.108 * [backup-simplify]: Simplify 2 into 2
5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.109 * [backup-simplify]: Simplify (+ 0 0) into 0
5.109 * [taylor]: Taking taylor expansion of 0 in im
5.109 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify 2 into 2
5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.112 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.113 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.113 * [taylor]: Taking taylor expansion of 1/2 in im
5.113 * [backup-simplify]: Simplify 1/2 into 1/2
5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.113 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.114 * [taylor]: Taking taylor expansion of im in im
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 1 into 1
5.114 * [backup-simplify]: Simplify (* 1 1) into 1
5.114 * [backup-simplify]: Simplify (/ 1 1) into 1
5.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.116 * [backup-simplify]: Simplify 0 into 0
5.116 * [backup-simplify]: Simplify 0 into 0
5.116 * [backup-simplify]: Simplify 0 into 0
5.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (+ 0 0) into 0
5.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.120 * [backup-simplify]: Simplify (+ 0 0) into 0
5.120 * [taylor]: Taking taylor expansion of 0 in im
5.120 * [backup-simplify]: Simplify 0 into 0
5.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
5.122 * * * [progress]: simplifying candidates
5.124 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (exp (log (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 (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (- re)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (* (cbrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (sqrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp 1)
  (exp (log (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log 1))
  (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (exp (log (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re))))
  (exp (log 1))
  (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (exp (log (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (exp (log (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (exp (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (log (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
6.589 * * * [progress]: adding candidates to table
6.980 * * [progress]: iteration 4 / 4
6.980 * * * [progress]: picking best candidate
7.012 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))))>
7.012 * * * [progress]: localizing error
7.042 * * * [progress]: generating rewritten candidates
7.042 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2)
7.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
7.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.166 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
7.192 * * * [progress]: generating series expansions
7.192 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2)
7.193 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
7.193 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
7.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.193 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.193 * [taylor]: Taking taylor expansion of re in im
7.193 * [backup-simplify]: Simplify re into re
7.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.193 * [taylor]: Taking taylor expansion of im in im
7.193 * [backup-simplify]: Simplify 0 into 0
7.193 * [backup-simplify]: Simplify 1 into 1
7.193 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.193 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.194 * [backup-simplify]: Simplify (+ 0 0) into 0
7.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.194 * [taylor]: Taking taylor expansion of re in re
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 1 into 1
7.194 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.194 * [taylor]: Taking taylor expansion of im in re
7.194 * [backup-simplify]: Simplify im into im
7.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.195 * [backup-simplify]: Simplify (+ 0 0) into 0
7.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.195 * [taylor]: Taking taylor expansion of re in re
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 1 into 1
7.195 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.195 * [taylor]: Taking taylor expansion of im in re
7.195 * [backup-simplify]: Simplify im into im
7.195 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.195 * [backup-simplify]: Simplify (+ 0 0) into 0
7.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.196 * [taylor]: Taking taylor expansion of im in im
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 1 into 1
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [taylor]: Taking taylor expansion of 0 in im
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 1 into 1
7.196 * [backup-simplify]: Simplify (* 1 1) into 1
7.196 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.197 * [backup-simplify]: Simplify (+ 1 0) into 1
7.197 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.197 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.197 * [taylor]: Taking taylor expansion of 1/2 in im
7.197 * [backup-simplify]: Simplify 1/2 into 1/2
7.197 * [taylor]: Taking taylor expansion of im in im
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.199 * [backup-simplify]: Simplify (+ 0 0) into 0
7.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.200 * [taylor]: Taking taylor expansion of 0 in im
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.200 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.201 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.201 * [taylor]: Taking taylor expansion of im in im
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (* 1 1) into 1
7.201 * [backup-simplify]: Simplify (/ 1 1) into 1
7.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.201 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.201 * [taylor]: Taking taylor expansion of re in im
7.201 * [backup-simplify]: Simplify re into re
7.201 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.202 * [backup-simplify]: Simplify (+ 1 0) into 1
7.202 * [backup-simplify]: Simplify (sqrt 1) into 1
7.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (+ 0 0) into 0
7.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.204 * [taylor]: Taking taylor expansion of im in re
7.204 * [backup-simplify]: Simplify im into im
7.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.204 * [taylor]: Taking taylor expansion of re in re
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify 1 into 1
7.204 * [backup-simplify]: Simplify (* 1 1) into 1
7.204 * [backup-simplify]: Simplify (/ 1 1) into 1
7.205 * [backup-simplify]: Simplify (+ 0 1) into 1
7.205 * [backup-simplify]: Simplify (sqrt 1) into 1
7.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.206 * [backup-simplify]: Simplify (+ 0 0) into 0
7.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.207 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.207 * [taylor]: Taking taylor expansion of im in re
7.207 * [backup-simplify]: Simplify im into im
7.207 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.207 * [taylor]: Taking taylor expansion of re in re
7.207 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify 1 into 1
7.207 * [backup-simplify]: Simplify (* 1 1) into 1
7.207 * [backup-simplify]: Simplify (/ 1 1) into 1
7.208 * [backup-simplify]: Simplify (+ 0 1) into 1
7.208 * [backup-simplify]: Simplify (sqrt 1) into 1
7.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (+ 0 0) into 0
7.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.210 * [taylor]: Taking taylor expansion of 1 in im
7.210 * [backup-simplify]: Simplify 1 into 1
7.210 * [taylor]: Taking taylor expansion of 0 in im
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 1 into 1
7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.211 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.213 * [taylor]: Taking taylor expansion of 1/2 in im
7.213 * [backup-simplify]: Simplify 1/2 into 1/2
7.213 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.213 * [taylor]: Taking taylor expansion of im in im
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 1 into 1
7.213 * [backup-simplify]: Simplify (* 1 1) into 1
7.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.218 * [backup-simplify]: Simplify (+ 0 0) into 0
7.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.219 * [taylor]: Taking taylor expansion of 0 in im
7.219 * [backup-simplify]: Simplify 0 into 0
7.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.222 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
7.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
7.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.222 * [taylor]: Taking taylor expansion of im in im
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 1 into 1
7.222 * [backup-simplify]: Simplify (* 1 1) into 1
7.223 * [backup-simplify]: Simplify (/ 1 1) into 1
7.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.223 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.223 * [taylor]: Taking taylor expansion of re in im
7.223 * [backup-simplify]: Simplify re into re
7.223 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.224 * [backup-simplify]: Simplify (+ 1 0) into 1
7.224 * [backup-simplify]: Simplify (sqrt 1) into 1
7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.226 * [backup-simplify]: Simplify (+ 0 0) into 0
7.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.227 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.227 * [taylor]: Taking taylor expansion of im in re
7.227 * [backup-simplify]: Simplify im into im
7.227 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.227 * [taylor]: Taking taylor expansion of re in re
7.227 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify 1 into 1
7.228 * [backup-simplify]: Simplify (* 1 1) into 1
7.228 * [backup-simplify]: Simplify (/ 1 1) into 1
7.229 * [backup-simplify]: Simplify (+ 0 1) into 1
7.229 * [backup-simplify]: Simplify (sqrt 1) into 1
7.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.231 * [backup-simplify]: Simplify (+ 0 0) into 0
7.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.232 * [taylor]: Taking taylor expansion of im in re
7.232 * [backup-simplify]: Simplify im into im
7.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.232 * [taylor]: Taking taylor expansion of re in re
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 1 into 1
7.233 * [backup-simplify]: Simplify (* 1 1) into 1
7.233 * [backup-simplify]: Simplify (/ 1 1) into 1
7.234 * [backup-simplify]: Simplify (+ 0 1) into 1
7.234 * [backup-simplify]: Simplify (sqrt 1) into 1
7.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.236 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.237 * [taylor]: Taking taylor expansion of 1 in im
7.237 * [backup-simplify]: Simplify 1 into 1
7.237 * [taylor]: Taking taylor expansion of 0 in im
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 1 into 1
7.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.239 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.240 * [taylor]: Taking taylor expansion of 1/2 in im
7.240 * [backup-simplify]: Simplify 1/2 into 1/2
7.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.240 * [taylor]: Taking taylor expansion of im in im
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 1 into 1
7.240 * [backup-simplify]: Simplify (* 1 1) into 1
7.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.243 * [backup-simplify]: Simplify (+ 0 0) into 0
7.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.244 * [taylor]: Taking taylor expansion of 0 in im
7.244 * [backup-simplify]: Simplify 0 into 0
7.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.245 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
7.246 * [backup-simplify]: Simplify (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2)))))
7.246 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0
7.246 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
7.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.246 * [taylor]: Taking taylor expansion of im in re
7.246 * [backup-simplify]: Simplify im into im
7.246 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
7.246 * [taylor]: Taking taylor expansion of re in re
7.246 * [backup-simplify]: Simplify 0 into 0
7.246 * [backup-simplify]: Simplify 1 into 1
7.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.246 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.246 * [taylor]: Taking taylor expansion of re in re
7.246 * [backup-simplify]: Simplify 0 into 0
7.246 * [backup-simplify]: Simplify 1 into 1
7.246 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.246 * [taylor]: Taking taylor expansion of im in re
7.246 * [backup-simplify]: Simplify im into im
7.246 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.246 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.246 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.246 * [backup-simplify]: Simplify (+ 0 0) into 0
7.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.247 * [backup-simplify]: Simplify (+ 0 im) into im
7.247 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
7.247 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
7.247 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.247 * [taylor]: Taking taylor expansion of im in im
7.247 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 1 into 1
7.247 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
7.247 * [taylor]: Taking taylor expansion of re in im
7.247 * [backup-simplify]: Simplify re into re
7.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.247 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.247 * [taylor]: Taking taylor expansion of re in im
7.247 * [backup-simplify]: Simplify re into re
7.247 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.247 * [taylor]: Taking taylor expansion of im in im
7.247 * [backup-simplify]: Simplify 0 into 0
7.247 * [backup-simplify]: Simplify 1 into 1
7.247 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.248 * [backup-simplify]: Simplify (* 1 1) into 1
7.248 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.248 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.248 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
7.248 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.248 * [taylor]: Taking taylor expansion of im in im
7.248 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify 1 into 1
7.248 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
7.248 * [taylor]: Taking taylor expansion of re in im
7.248 * [backup-simplify]: Simplify re into re
7.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.248 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.248 * [taylor]: Taking taylor expansion of re in im
7.248 * [backup-simplify]: Simplify re into re
7.248 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.248 * [taylor]: Taking taylor expansion of im in im
7.248 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify 1 into 1
7.248 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.248 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.248 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.249 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.249 * [backup-simplify]: Simplify (+ 0 0) into 0
7.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.249 * [backup-simplify]: Simplify (* 1 1) into 1
7.249 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.249 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.249 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
7.249 * [taylor]: Taking taylor expansion of 1/2 in re
7.249 * [backup-simplify]: Simplify 1/2 into 1/2
7.249 * [taylor]: Taking taylor expansion of re in re
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 1 into 1
7.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (+ 0 0) into 0
7.251 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.251 * [taylor]: Taking taylor expansion of 0 in re
7.251 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify 0 into 0
7.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.252 * [backup-simplify]: Simplify 0 into 0
7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.253 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.253 * [backup-simplify]: Simplify (* 1 1) into 1
7.253 * [backup-simplify]: Simplify (+ 0 1) into 1
7.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
7.254 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
7.254 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re
7.254 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re
7.254 * [taylor]: Taking taylor expansion of 1/8 in re
7.254 * [backup-simplify]: Simplify 1/8 into 1/8
7.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.254 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.254 * [taylor]: Taking taylor expansion of re in re
7.254 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify 1 into 1
7.254 * [backup-simplify]: Simplify (* 1 1) into 1
7.255 * [backup-simplify]: Simplify (* 1 1) into 1
7.255 * [backup-simplify]: Simplify (/ 1 1) into 1
7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.264 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.265 * [backup-simplify]: Simplify (- 0) into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.266 * [backup-simplify]: Simplify (/ (pow (/ 1 im) 2) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)))
7.266 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0
7.266 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re
7.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re
7.266 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.266 * [taylor]: Taking taylor expansion of re in re
7.266 * [backup-simplify]: Simplify 0 into 0
7.266 * [backup-simplify]: Simplify 1 into 1
7.266 * [backup-simplify]: Simplify (/ 1 1) into 1
7.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.266 * [taylor]: Taking taylor expansion of im in re
7.266 * [backup-simplify]: Simplify im into im
7.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.267 * [taylor]: Taking taylor expansion of re in re
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [backup-simplify]: Simplify (* 1 1) into 1
7.267 * [backup-simplify]: Simplify (/ 1 1) into 1
7.267 * [backup-simplify]: Simplify (+ 0 1) into 1
7.268 * [backup-simplify]: Simplify (sqrt 1) into 1
7.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.269 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.269 * [taylor]: Taking taylor expansion of im in re
7.269 * [backup-simplify]: Simplify im into im
7.270 * [backup-simplify]: Simplify (+ 1 1) into 2
7.270 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.270 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
7.270 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
7.270 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
7.270 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.270 * [taylor]: Taking taylor expansion of re in im
7.270 * [backup-simplify]: Simplify re into re
7.270 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.270 * [taylor]: Taking taylor expansion of im in im
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (/ 1 1) into 1
7.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.271 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.271 * [taylor]: Taking taylor expansion of re in im
7.271 * [backup-simplify]: Simplify re into re
7.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.271 * [backup-simplify]: Simplify (+ 1 0) into 1
7.272 * [backup-simplify]: Simplify (sqrt 1) into 1
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.273 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.273 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.273 * [taylor]: Taking taylor expansion of im in im
7.273 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify 1 into 1
7.274 * [backup-simplify]: Simplify (+ 0 1) into 1
7.274 * [backup-simplify]: Simplify (* 1 1) into 1
7.274 * [backup-simplify]: Simplify (* 1 1) into 1
7.274 * [backup-simplify]: Simplify (/ 1 1) into 1
7.274 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
7.274 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.275 * [taylor]: Taking taylor expansion of re in im
7.275 * [backup-simplify]: Simplify re into re
7.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.275 * [taylor]: Taking taylor expansion of im in im
7.275 * [backup-simplify]: Simplify 0 into 0
7.275 * [backup-simplify]: Simplify 1 into 1
7.275 * [backup-simplify]: Simplify (* 1 1) into 1
7.275 * [backup-simplify]: Simplify (/ 1 1) into 1
7.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.275 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.275 * [taylor]: Taking taylor expansion of re in im
7.275 * [backup-simplify]: Simplify re into re
7.275 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.275 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.276 * [backup-simplify]: Simplify (+ 1 0) into 1
7.276 * [backup-simplify]: Simplify (sqrt 1) into 1
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.277 * [backup-simplify]: Simplify (+ 0 0) into 0
7.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.278 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.278 * [taylor]: Taking taylor expansion of im in im
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (+ 0 1) into 1
7.278 * [backup-simplify]: Simplify (* 1 1) into 1
7.279 * [backup-simplify]: Simplify (* 1 1) into 1
7.279 * [backup-simplify]: Simplify (/ 1 1) into 1
7.279 * [taylor]: Taking taylor expansion of 1 in re
7.279 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.280 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.281 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
7.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.281 * [taylor]: Taking taylor expansion of re in re
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.282 * [backup-simplify]: Simplify (/ 1 1) into 1
7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.284 * [backup-simplify]: Simplify (- 0) into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.288 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.288 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
7.290 * [taylor]: Taking taylor expansion of 1/2 in re
7.290 * [backup-simplify]: Simplify 1/2 into 1/2
7.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.290 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.290 * [taylor]: Taking taylor expansion of re in re
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify 1 into 1
7.290 * [backup-simplify]: Simplify (* 1 1) into 1
7.291 * [backup-simplify]: Simplify (/ 1 1) into 1
7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.298 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.299 * [backup-simplify]: Simplify (- 0) into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) 2) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)))
7.300 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0
7.300 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re
7.300 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re
7.300 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.300 * [taylor]: Taking taylor expansion of im in re
7.300 * [backup-simplify]: Simplify im into im
7.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.301 * [taylor]: Taking taylor expansion of re in re
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 1 into 1
7.301 * [backup-simplify]: Simplify (* 1 1) into 1
7.302 * [backup-simplify]: Simplify (/ 1 1) into 1
7.302 * [backup-simplify]: Simplify (+ 0 1) into 1
7.302 * [backup-simplify]: Simplify (sqrt 1) into 1
7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.304 * [backup-simplify]: Simplify (+ 0 0) into 0
7.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.305 * [taylor]: Taking taylor expansion of re in re
7.305 * [backup-simplify]: Simplify 0 into 0
7.305 * [backup-simplify]: Simplify 1 into 1
7.306 * [backup-simplify]: Simplify (/ 1 1) into 1
7.306 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.306 * [taylor]: Taking taylor expansion of im in re
7.306 * [backup-simplify]: Simplify im into im
7.306 * [backup-simplify]: Simplify (- 1) into -1
7.306 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.307 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0
7.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (- 0) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0
7.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.310 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.311 * [backup-simplify]: Simplify (- 0) into 0
7.311 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2
7.313 * [backup-simplify]: Simplify (/ 1 1/2) into 2
7.313 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
7.313 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
7.313 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.313 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.313 * [taylor]: Taking taylor expansion of im in im
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [backup-simplify]: Simplify 1 into 1
7.313 * [backup-simplify]: Simplify (* 1 1) into 1
7.313 * [backup-simplify]: Simplify (/ 1 1) into 1
7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.313 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.313 * [taylor]: Taking taylor expansion of re in im
7.313 * [backup-simplify]: Simplify re into re
7.313 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.314 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.314 * [backup-simplify]: Simplify (+ 1 0) into 1
7.314 * [backup-simplify]: Simplify (sqrt 1) into 1
7.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.315 * [backup-simplify]: Simplify (+ 0 0) into 0
7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.316 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.316 * [taylor]: Taking taylor expansion of re in im
7.316 * [backup-simplify]: Simplify re into re
7.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.316 * [taylor]: Taking taylor expansion of im in im
7.316 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify 1 into 1
7.316 * [backup-simplify]: Simplify (+ 1 0) into 1
7.316 * [backup-simplify]: Simplify (* 1 1) into 1
7.317 * [backup-simplify]: Simplify (* 1 1) into 1
7.317 * [backup-simplify]: Simplify (/ 1 1) into 1
7.317 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
7.317 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
7.317 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.317 * [taylor]: Taking taylor expansion of im in im
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [backup-simplify]: Simplify (* 1 1) into 1
7.318 * [backup-simplify]: Simplify (/ 1 1) into 1
7.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.318 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.318 * [taylor]: Taking taylor expansion of re in im
7.318 * [backup-simplify]: Simplify re into re
7.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.318 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.318 * [backup-simplify]: Simplify (+ 1 0) into 1
7.318 * [backup-simplify]: Simplify (sqrt 1) into 1
7.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.320 * [taylor]: Taking taylor expansion of re in im
7.320 * [backup-simplify]: Simplify re into re
7.320 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.320 * [taylor]: Taking taylor expansion of im in im
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 1 into 1
7.321 * [backup-simplify]: Simplify (+ 1 0) into 1
7.321 * [backup-simplify]: Simplify (* 1 1) into 1
7.321 * [backup-simplify]: Simplify (* 1 1) into 1
7.321 * [backup-simplify]: Simplify (/ 1 1) into 1
7.321 * [taylor]: Taking taylor expansion of 1 in re
7.321 * [backup-simplify]: Simplify 1 into 1
7.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.322 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.322 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.322 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re))
7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.322 * [taylor]: Taking taylor expansion of re in re
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify (/ 1 1) into 1
7.323 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.326 * [backup-simplify]: Simplify (- 0) into 0
7.326 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
7.327 * [taylor]: Taking taylor expansion of 1/2 in re
7.327 * [backup-simplify]: Simplify 1/2 into 1/2
7.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.327 * [taylor]: Taking taylor expansion of re in re
7.327 * [backup-simplify]: Simplify 0 into 0
7.327 * [backup-simplify]: Simplify 1 into 1
7.327 * [backup-simplify]: Simplify (* 1 1) into 1
7.327 * [backup-simplify]: Simplify (/ 1 1) into 1
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.331 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
7.332 * [backup-simplify]: Simplify (+ 0 0) into 0
7.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
7.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
7.332 * [backup-simplify]: Simplify (- 0) into 0
7.333 * [backup-simplify]: Simplify (+ 0 0) into 0
7.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0
7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
7.334 * [taylor]: Taking taylor expansion of 0 in re
7.334 * [backup-simplify]: Simplify 0 into 0
7.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.336 * [backup-simplify]: Simplify 0 into 0
7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im))
7.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.337 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))
7.337 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0
7.337 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re
7.337 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
7.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.337 * [taylor]: Taking taylor expansion of 2.0 in re
7.337 * [backup-simplify]: Simplify 2.0 into 2.0
7.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.338 * [taylor]: Taking taylor expansion of im in re
7.338 * [backup-simplify]: Simplify im into im
7.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
7.338 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
7.338 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
7.338 * [taylor]: Taking taylor expansion of re in re
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.338 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.338 * [taylor]: Taking taylor expansion of re in re
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.338 * [taylor]: Taking taylor expansion of im in re
7.338 * [backup-simplify]: Simplify im into im
7.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.338 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.339 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.339 * [backup-simplify]: Simplify (+ 0 im) into im
7.339 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.339 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.339 * [backup-simplify]: Simplify (+ 1 0) into 1
7.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2)))
7.340 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3))))
7.340 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im
7.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.340 * [taylor]: Taking taylor expansion of 2.0 in im
7.340 * [backup-simplify]: Simplify 2.0 into 2.0
7.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.341 * [taylor]: Taking taylor expansion of im in im
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify 1 into 1
7.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
7.341 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
7.341 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
7.341 * [taylor]: Taking taylor expansion of re in im
7.341 * [backup-simplify]: Simplify re into re
7.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.341 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.341 * [taylor]: Taking taylor expansion of re in im
7.341 * [backup-simplify]: Simplify re into re
7.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.341 * [taylor]: Taking taylor expansion of im in im
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify 1 into 1
7.341 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.341 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.341 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.341 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.341 * [backup-simplify]: Simplify (+ 0 0) into 0
7.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.342 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.342 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.342 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.342 * [backup-simplify]: Simplify (+ 0 0) into 0
7.342 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.342 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im
7.342 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.342 * [taylor]: Taking taylor expansion of 2.0 in im
7.342 * [backup-simplify]: Simplify 2.0 into 2.0
7.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.343 * [taylor]: Taking taylor expansion of im in im
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
7.343 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
7.343 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
7.343 * [taylor]: Taking taylor expansion of re in im
7.343 * [backup-simplify]: Simplify re into re
7.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.344 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.344 * [taylor]: Taking taylor expansion of re in im
7.344 * [backup-simplify]: Simplify re into re
7.344 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.344 * [taylor]: Taking taylor expansion of im in im
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify 1 into 1
7.344 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.344 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.344 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.344 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.345 * [backup-simplify]: Simplify (+ 0 0) into 0
7.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.345 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.345 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re)
7.345 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2))
7.346 * [backup-simplify]: Simplify (+ 0 0) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0
7.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0
7.346 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.347 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0
7.347 * [taylor]: Taking taylor expansion of 0 in re
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.351 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
7.351 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re
7.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re
7.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.351 * [taylor]: Taking taylor expansion of 2.0 in re
7.351 * [backup-simplify]: Simplify 2.0 into 2.0
7.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.352 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.352 * [taylor]: Taking taylor expansion of 1/2 in re
7.353 * [backup-simplify]: Simplify 1/2 into 1/2
7.353 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
7.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.354 * [taylor]: Taking taylor expansion of re in re
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 1 into 1
7.354 * [backup-simplify]: Simplify (/ 1 1) into 1
7.355 * [backup-simplify]: Simplify (sqrt 0) into 0
7.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.358 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2))
7.359 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0
7.363 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.366 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.367 * [backup-simplify]: Simplify (* 1 1) into 1
7.368 * [backup-simplify]: Simplify (+ 0 1) into 1
7.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.369 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
7.369 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3))))
7.371 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
7.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.373 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.376 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0
7.376 * [taylor]: Taking taylor expansion of 0 in re
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
7.395 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.398 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2))))
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.401 * [backup-simplify]: Simplify (+ 0 0) into 0
7.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.401 * [backup-simplify]: Simplify (+ 0 0) into 0
7.402 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0
7.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0
7.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.407 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))))
7.410 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re
7.410 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
7.410 * [taylor]: Taking taylor expansion of 1/16 in re
7.410 * [backup-simplify]: Simplify 1/16 into 1/16
7.410 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
7.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re
7.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.410 * [taylor]: Taking taylor expansion of 2.0 in re
7.410 * [backup-simplify]: Simplify 2.0 into 2.0
7.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.411 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
7.411 * [taylor]: Taking taylor expansion of 1/2 in re
7.412 * [backup-simplify]: Simplify 1/2 into 1/2
7.412 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.413 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2))
7.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
7.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
7.413 * [taylor]: Taking taylor expansion of (pow re 5) in re
7.413 * [taylor]: Taking taylor expansion of re in re
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify 1 into 1
7.414 * [backup-simplify]: Simplify (* 1 1) into 1
7.414 * [backup-simplify]: Simplify (* 1 1) into 1
7.414 * [backup-simplify]: Simplify (* 1 1) into 1
7.414 * [backup-simplify]: Simplify (/ 1 1) into 1
7.415 * [backup-simplify]: Simplify (sqrt 0) into 0
7.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.421 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.425 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
7.425 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.427 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
7.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.430 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
7.433 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.436 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.438 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.439 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0
7.448 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.453 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.456 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))
7.468 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))))))
7.469 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) 2) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
7.469 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
7.469 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
7.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.469 * [taylor]: Taking taylor expansion of 2.0 in re
7.469 * [backup-simplify]: Simplify 2.0 into 2.0
7.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.470 * [taylor]: Taking taylor expansion of im in re
7.470 * [backup-simplify]: Simplify im into im
7.471 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
7.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.471 * [taylor]: Taking taylor expansion of re in re
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 1 into 1
7.471 * [backup-simplify]: Simplify (/ 1 1) into 1
7.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.471 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.471 * [taylor]: Taking taylor expansion of im in re
7.471 * [backup-simplify]: Simplify im into im
7.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.472 * [taylor]: Taking taylor expansion of re in re
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [backup-simplify]: Simplify (* 1 1) into 1
7.473 * [backup-simplify]: Simplify (/ 1 1) into 1
7.473 * [backup-simplify]: Simplify (+ 0 1) into 1
7.473 * [backup-simplify]: Simplify (sqrt 1) into 1
7.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.475 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.476 * [backup-simplify]: Simplify (+ 1 1) into 2
7.477 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.477 * [backup-simplify]: Simplify (sqrt 0) into 0
7.479 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.479 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.479 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.479 * [taylor]: Taking taylor expansion of 2.0 in im
7.479 * [backup-simplify]: Simplify 2.0 into 2.0
7.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.480 * [taylor]: Taking taylor expansion of im in im
7.480 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify 1 into 1
7.481 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.481 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.481 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.481 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.481 * [taylor]: Taking taylor expansion of re in im
7.481 * [backup-simplify]: Simplify re into re
7.481 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.482 * [taylor]: Taking taylor expansion of im in im
7.482 * [backup-simplify]: Simplify 0 into 0
7.482 * [backup-simplify]: Simplify 1 into 1
7.482 * [backup-simplify]: Simplify (* 1 1) into 1
7.482 * [backup-simplify]: Simplify (/ 1 1) into 1
7.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.482 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.482 * [taylor]: Taking taylor expansion of re in im
7.483 * [backup-simplify]: Simplify re into re
7.483 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.483 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.483 * [backup-simplify]: Simplify (+ 1 0) into 1
7.484 * [backup-simplify]: Simplify (sqrt 1) into 1
7.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.487 * [backup-simplify]: Simplify (+ 0 1) into 1
7.487 * [backup-simplify]: Simplify (/ 1 1) into 1
7.487 * [backup-simplify]: Simplify (sqrt 0) into 0
7.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.489 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
7.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.489 * [taylor]: Taking taylor expansion of 2.0 in im
7.489 * [backup-simplify]: Simplify 2.0 into 2.0
7.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.490 * [taylor]: Taking taylor expansion of im in im
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
7.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
7.491 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.491 * [taylor]: Taking taylor expansion of re in im
7.491 * [backup-simplify]: Simplify re into re
7.491 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.492 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.492 * [taylor]: Taking taylor expansion of im in im
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 1 into 1
7.492 * [backup-simplify]: Simplify (* 1 1) into 1
7.492 * [backup-simplify]: Simplify (/ 1 1) into 1
7.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.492 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.492 * [taylor]: Taking taylor expansion of re in im
7.493 * [backup-simplify]: Simplify re into re
7.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.493 * [backup-simplify]: Simplify (+ 1 0) into 1
7.494 * [backup-simplify]: Simplify (sqrt 1) into 1
7.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.495 * [backup-simplify]: Simplify (+ 0 0) into 0
7.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.497 * [backup-simplify]: Simplify (+ 0 1) into 1
7.497 * [backup-simplify]: Simplify (/ 1 1) into 1
7.497 * [backup-simplify]: Simplify (sqrt 0) into 0
7.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.499 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.500 * [taylor]: Taking taylor expansion of 0 in re
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.503 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.503 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.503 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.503 * [taylor]: Taking taylor expansion of +nan.0 in re
7.503 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.503 * [taylor]: Taking taylor expansion of 2.0 in re
7.503 * [backup-simplify]: Simplify 2.0 into 2.0
7.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.505 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.507 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.508 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.508 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.510 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.514 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
7.514 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.514 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.514 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.514 * [taylor]: Taking taylor expansion of +nan.0 in re
7.514 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.515 * [taylor]: Taking taylor expansion of 2.0 in re
7.515 * [backup-simplify]: Simplify 2.0 into 2.0
7.515 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.516 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.516 * [taylor]: Taking taylor expansion of +nan.0 in re
7.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.516 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.516 * [taylor]: Taking taylor expansion of 2.0 in re
7.516 * [backup-simplify]: Simplify 2.0 into 2.0
7.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.517 * [taylor]: Taking taylor expansion of re in re
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.518 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.519 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.521 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.521 * [backup-simplify]: Simplify (- 0) into 0
7.523 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.525 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.535 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.536 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.537 * [backup-simplify]: Simplify (- 0) into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.542 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.544 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
7.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.549 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
7.549 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
7.549 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
7.549 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.549 * [taylor]: Taking taylor expansion of +nan.0 in re
7.549 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.549 * [taylor]: Taking taylor expansion of 2.0 in re
7.550 * [backup-simplify]: Simplify 2.0 into 2.0
7.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.551 * [taylor]: Taking taylor expansion of +nan.0 in re
7.551 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.551 * [taylor]: Taking taylor expansion of 2.0 in re
7.551 * [backup-simplify]: Simplify 2.0 into 2.0
7.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.552 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.552 * [taylor]: Taking taylor expansion of re in re
7.552 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (* 1 1) into 1
7.554 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.554 * [taylor]: Taking taylor expansion of +nan.0 in re
7.554 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.554 * [taylor]: Taking taylor expansion of 2.0 in re
7.554 * [backup-simplify]: Simplify 2.0 into 2.0
7.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.555 * [taylor]: Taking taylor expansion of re in re
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.557 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.564 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.566 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.566 * [backup-simplify]: Simplify (- 0) into 0
7.566 * [backup-simplify]: Simplify (+ 0 0) into 0
7.567 * [backup-simplify]: Simplify (- 0) into 0
7.568 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.569 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.570 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.574 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
7.574 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) 2) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
7.574 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
7.574 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
7.574 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.575 * [taylor]: Taking taylor expansion of 2.0 in re
7.575 * [backup-simplify]: Simplify 2.0 into 2.0
7.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.575 * [taylor]: Taking taylor expansion of im in re
7.575 * [backup-simplify]: Simplify im into im
7.576 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
7.576 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
7.576 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.576 * [taylor]: Taking taylor expansion of im in re
7.576 * [backup-simplify]: Simplify im into im
7.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.576 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.576 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.576 * [taylor]: Taking taylor expansion of re in re
7.576 * [backup-simplify]: Simplify 0 into 0
7.576 * [backup-simplify]: Simplify 1 into 1
7.576 * [backup-simplify]: Simplify (* 1 1) into 1
7.577 * [backup-simplify]: Simplify (/ 1 1) into 1
7.577 * [backup-simplify]: Simplify (+ 0 1) into 1
7.577 * [backup-simplify]: Simplify (sqrt 1) into 1
7.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.578 * [backup-simplify]: Simplify (+ 0 0) into 0
7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.579 * [taylor]: Taking taylor expansion of re in re
7.579 * [backup-simplify]: Simplify 0 into 0
7.579 * [backup-simplify]: Simplify 1 into 1
7.579 * [backup-simplify]: Simplify (/ 1 1) into 1
7.580 * [backup-simplify]: Simplify (- 1) into -1
7.580 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.581 * [backup-simplify]: Simplify (- 0) into 0
7.581 * [backup-simplify]: Simplify (+ 0 0) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.582 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.584 * [backup-simplify]: Simplify (- 0) into 0
7.584 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.584 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.584 * [backup-simplify]: Simplify (sqrt 0) into 0
7.585 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.585 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.585 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.585 * [taylor]: Taking taylor expansion of 2.0 in im
7.585 * [backup-simplify]: Simplify 2.0 into 2.0
7.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.586 * [taylor]: Taking taylor expansion of im in im
7.586 * [backup-simplify]: Simplify 0 into 0
7.586 * [backup-simplify]: Simplify 1 into 1
7.586 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.586 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.586 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.586 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.586 * [taylor]: Taking taylor expansion of im in im
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [backup-simplify]: Simplify (* 1 1) into 1
7.587 * [backup-simplify]: Simplify (/ 1 1) into 1
7.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.587 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.587 * [taylor]: Taking taylor expansion of re in im
7.587 * [backup-simplify]: Simplify re into re
7.587 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.587 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.588 * [backup-simplify]: Simplify (+ 1 0) into 1
7.588 * [backup-simplify]: Simplify (sqrt 1) into 1
7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.589 * [backup-simplify]: Simplify (+ 0 0) into 0
7.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.589 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.589 * [taylor]: Taking taylor expansion of re in im
7.589 * [backup-simplify]: Simplify re into re
7.590 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.590 * [backup-simplify]: Simplify (+ 1 0) into 1
7.590 * [backup-simplify]: Simplify (/ 1 1) into 1
7.590 * [backup-simplify]: Simplify (sqrt 0) into 0
7.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.591 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
7.591 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.591 * [taylor]: Taking taylor expansion of 2.0 in im
7.591 * [backup-simplify]: Simplify 2.0 into 2.0
7.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.592 * [taylor]: Taking taylor expansion of im in im
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
7.593 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
7.593 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.593 * [taylor]: Taking taylor expansion of im in im
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (* 1 1) into 1
7.594 * [backup-simplify]: Simplify (/ 1 1) into 1
7.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.594 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.594 * [taylor]: Taking taylor expansion of re in im
7.594 * [backup-simplify]: Simplify re into re
7.594 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.594 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.594 * [backup-simplify]: Simplify (+ 1 0) into 1
7.594 * [backup-simplify]: Simplify (sqrt 1) into 1
7.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.596 * [backup-simplify]: Simplify (+ 0 0) into 0
7.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.596 * [taylor]: Taking taylor expansion of re in im
7.596 * [backup-simplify]: Simplify re into re
7.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.596 * [backup-simplify]: Simplify (+ 1 0) into 1
7.597 * [backup-simplify]: Simplify (/ 1 1) into 1
7.597 * [backup-simplify]: Simplify (sqrt 0) into 0
7.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.598 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.598 * [taylor]: Taking taylor expansion of 0 in re
7.598 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.601 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.601 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.601 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.601 * [taylor]: Taking taylor expansion of +nan.0 in re
7.601 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.601 * [taylor]: Taking taylor expansion of 2.0 in re
7.602 * [backup-simplify]: Simplify 2.0 into 2.0
7.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.603 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.605 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.608 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
7.609 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.609 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.609 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.609 * [taylor]: Taking taylor expansion of +nan.0 in re
7.609 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.609 * [taylor]: Taking taylor expansion of 2.0 in re
7.609 * [backup-simplify]: Simplify 2.0 into 2.0
7.609 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.610 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.610 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.610 * [taylor]: Taking taylor expansion of +nan.0 in re
7.610 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.610 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.610 * [taylor]: Taking taylor expansion of 2.0 in re
7.610 * [backup-simplify]: Simplify 2.0 into 2.0
7.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.612 * [taylor]: Taking taylor expansion of re in re
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify 1 into 1
7.613 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.614 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.615 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.618 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.620 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.622 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.623 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.625 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.626 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.627 * [backup-simplify]: Simplify 0 into 0
7.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.628 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
7.629 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.629 * [backup-simplify]: Simplify (- 0) into 0
7.629 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.630 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
7.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.633 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
7.633 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
7.633 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
7.633 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.633 * [taylor]: Taking taylor expansion of +nan.0 in re
7.633 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.633 * [taylor]: Taking taylor expansion of 2.0 in re
7.633 * [backup-simplify]: Simplify 2.0 into 2.0
7.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.634 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.634 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.634 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.634 * [taylor]: Taking taylor expansion of +nan.0 in re
7.634 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.634 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.634 * [taylor]: Taking taylor expansion of 2.0 in re
7.634 * [backup-simplify]: Simplify 2.0 into 2.0
7.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.635 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.635 * [taylor]: Taking taylor expansion of re in re
7.635 * [backup-simplify]: Simplify 0 into 0
7.635 * [backup-simplify]: Simplify 1 into 1
7.635 * [backup-simplify]: Simplify (* 1 1) into 1
7.636 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.636 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.636 * [taylor]: Taking taylor expansion of +nan.0 in re
7.636 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.636 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.636 * [taylor]: Taking taylor expansion of 2.0 in re
7.636 * [backup-simplify]: Simplify 2.0 into 2.0
7.636 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.637 * [taylor]: Taking taylor expansion of re in re
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify 1 into 1
7.637 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.639 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.640 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.641 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.642 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.644 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.645 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.647 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.647 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.656 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
7.656 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
7.657 * [backup-simplify]: Simplify (+ re (sqrt (+ (* re re) (* im im)))) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
7.657 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
7.657 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
7.657 * [taylor]: Taking taylor expansion of re in im
7.657 * [backup-simplify]: Simplify re into re
7.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
7.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
7.657 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.657 * [taylor]: Taking taylor expansion of re in im
7.657 * [backup-simplify]: Simplify re into re
7.657 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.657 * [taylor]: Taking taylor expansion of im in im
7.657 * [backup-simplify]: Simplify 0 into 0
7.657 * [backup-simplify]: Simplify 1 into 1
7.657 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.657 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.657 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.657 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.658 * [backup-simplify]: Simplify (+ 0 0) into 0
7.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.658 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
7.658 * [taylor]: Taking taylor expansion of re in re
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.658 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.658 * [taylor]: Taking taylor expansion of re in re
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.658 * [taylor]: Taking taylor expansion of im in re
7.658 * [backup-simplify]: Simplify im into im
7.658 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.658 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.658 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.658 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.659 * [backup-simplify]: Simplify (+ 0 0) into 0
7.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.659 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
7.659 * [taylor]: Taking taylor expansion of re in re
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
7.659 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
7.659 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.659 * [taylor]: Taking taylor expansion of re in re
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.659 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.659 * [taylor]: Taking taylor expansion of im in re
7.659 * [backup-simplify]: Simplify im into im
7.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.659 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.660 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.660 * [backup-simplify]: Simplify (+ 0 0) into 0
7.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.660 * [backup-simplify]: Simplify (+ 0 im) into im
7.661 * [taylor]: Taking taylor expansion of im in im
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [backup-simplify]: Simplify (+ 1 0) into 1
7.661 * [taylor]: Taking taylor expansion of 1 in im
7.661 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify 1 into 1
7.662 * [backup-simplify]: Simplify (* 1 1) into 1
7.662 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.663 * [backup-simplify]: Simplify (+ 1 0) into 1
7.663 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.664 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.664 * [taylor]: Taking taylor expansion of 1/2 in im
7.664 * [backup-simplify]: Simplify 1/2 into 1/2
7.664 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.664 * [taylor]: Taking taylor expansion of im in im
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (/ 1 1) into 1
7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 0 into 0
7.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.668 * [taylor]: Taking taylor expansion of 0 in im
7.668 * [backup-simplify]: Simplify 0 into 0
7.668 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.671 * [backup-simplify]: Simplify 0 into 0
7.671 * [backup-simplify]: Simplify 0 into 0
7.671 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
7.671 * [backup-simplify]: Simplify (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
7.671 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
7.671 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
7.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.671 * [taylor]: Taking taylor expansion of re in im
7.671 * [backup-simplify]: Simplify re into re
7.671 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.672 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.672 * [taylor]: Taking taylor expansion of im in im
7.672 * [backup-simplify]: Simplify 0 into 0
7.672 * [backup-simplify]: Simplify 1 into 1
7.672 * [backup-simplify]: Simplify (* 1 1) into 1
7.672 * [backup-simplify]: Simplify (/ 1 1) into 1
7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.673 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.673 * [taylor]: Taking taylor expansion of re in im
7.673 * [backup-simplify]: Simplify re into re
7.673 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.673 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.673 * [backup-simplify]: Simplify (+ 1 0) into 1
7.674 * [backup-simplify]: Simplify (sqrt 1) into 1
7.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (+ 0 0) into 0
7.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.676 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.676 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.676 * [taylor]: Taking taylor expansion of re in re
7.677 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify 1 into 1
7.677 * [backup-simplify]: Simplify (/ 1 1) into 1
7.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.677 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.677 * [taylor]: Taking taylor expansion of im in re
7.677 * [backup-simplify]: Simplify im into im
7.677 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.677 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.677 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.678 * [taylor]: Taking taylor expansion of re in re
7.678 * [backup-simplify]: Simplify 0 into 0
7.678 * [backup-simplify]: Simplify 1 into 1
7.678 * [backup-simplify]: Simplify (* 1 1) into 1
7.678 * [backup-simplify]: Simplify (/ 1 1) into 1
7.679 * [backup-simplify]: Simplify (+ 0 1) into 1
7.679 * [backup-simplify]: Simplify (sqrt 1) into 1
7.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.681 * [backup-simplify]: Simplify (+ 0 0) into 0
7.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.682 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
7.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.682 * [taylor]: Taking taylor expansion of re in re
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 1 into 1
7.682 * [backup-simplify]: Simplify (/ 1 1) into 1
7.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.682 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.682 * [taylor]: Taking taylor expansion of im in re
7.682 * [backup-simplify]: Simplify im into im
7.682 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.683 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.683 * [taylor]: Taking taylor expansion of re in re
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.683 * [backup-simplify]: Simplify (* 1 1) into 1
7.683 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [backup-simplify]: Simplify (+ 0 1) into 1
7.684 * [backup-simplify]: Simplify (sqrt 1) into 1
7.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.686 * [backup-simplify]: Simplify (+ 1 1) into 2
7.686 * [taylor]: Taking taylor expansion of 2 in im
7.686 * [backup-simplify]: Simplify 2 into 2
7.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.687 * [backup-simplify]: Simplify (+ 0 0) into 0
7.687 * [taylor]: Taking taylor expansion of 0 in im
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify 2 into 2
7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.689 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.690 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.690 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.690 * [taylor]: Taking taylor expansion of 1/2 in im
7.690 * [backup-simplify]: Simplify 1/2 into 1/2
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.690 * [taylor]: Taking taylor expansion of im in im
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 1 into 1
7.690 * [backup-simplify]: Simplify (* 1 1) into 1
7.690 * [backup-simplify]: Simplify (/ 1 1) into 1
7.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.695 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [taylor]: Taking taylor expansion of 0 in im
7.695 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
7.697 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
7.697 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
7.697 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
7.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
7.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.697 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.697 * [taylor]: Taking taylor expansion of im in im
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.698 * [backup-simplify]: Simplify (* 1 1) into 1
7.698 * [backup-simplify]: Simplify (/ 1 1) into 1
7.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.698 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.698 * [taylor]: Taking taylor expansion of re in im
7.698 * [backup-simplify]: Simplify re into re
7.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.698 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.699 * [backup-simplify]: Simplify (+ 1 0) into 1
7.699 * [backup-simplify]: Simplify (sqrt 1) into 1
7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.700 * [backup-simplify]: Simplify (+ 0 0) into 0
7.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.700 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.700 * [taylor]: Taking taylor expansion of re in im
7.700 * [backup-simplify]: Simplify re into re
7.700 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.701 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.701 * [taylor]: Taking taylor expansion of im in re
7.701 * [backup-simplify]: Simplify im into im
7.701 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.701 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.701 * [taylor]: Taking taylor expansion of re in re
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [backup-simplify]: Simplify (* 1 1) into 1
7.701 * [backup-simplify]: Simplify (/ 1 1) into 1
7.702 * [backup-simplify]: Simplify (+ 0 1) into 1
7.702 * [backup-simplify]: Simplify (sqrt 1) into 1
7.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.703 * [backup-simplify]: Simplify (+ 0 0) into 0
7.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.704 * [taylor]: Taking taylor expansion of re in re
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [backup-simplify]: Simplify (/ 1 1) into 1
7.704 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
7.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.704 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.704 * [taylor]: Taking taylor expansion of im in re
7.704 * [backup-simplify]: Simplify im into im
7.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.704 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.704 * [taylor]: Taking taylor expansion of re in re
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.705 * [backup-simplify]: Simplify (* 1 1) into 1
7.705 * [backup-simplify]: Simplify (/ 1 1) into 1
7.705 * [backup-simplify]: Simplify (+ 0 1) into 1
7.705 * [backup-simplify]: Simplify (sqrt 1) into 1
7.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.706 * [backup-simplify]: Simplify (+ 0 0) into 0
7.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.707 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.707 * [taylor]: Taking taylor expansion of re in re
7.707 * [backup-simplify]: Simplify 0 into 0
7.707 * [backup-simplify]: Simplify 1 into 1
7.707 * [backup-simplify]: Simplify (/ 1 1) into 1
7.708 * [backup-simplify]: Simplify (- 1) into -1
7.708 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.708 * [taylor]: Taking taylor expansion of 0 in im
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.709 * [backup-simplify]: Simplify (- 0) into 0
7.709 * [backup-simplify]: Simplify (+ 0 0) into 0
7.709 * [taylor]: Taking taylor expansion of 0 in im
7.709 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.710 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
7.711 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.713 * [backup-simplify]: Simplify (- 0) into 0
7.713 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.713 * [taylor]: Taking taylor expansion of 1/2 in im
7.713 * [backup-simplify]: Simplify 1/2 into 1/2
7.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.713 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.713 * [taylor]: Taking taylor expansion of im in im
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 1 into 1
7.713 * [backup-simplify]: Simplify (* 1 1) into 1
7.714 * [backup-simplify]: Simplify (/ 1 1) into 1
7.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.719 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.721 * [backup-simplify]: Simplify (- 0) into 0
7.722 * [backup-simplify]: Simplify (+ 0 0) into 0
7.722 * [taylor]: Taking taylor expansion of 0 in im
7.722 * [backup-simplify]: Simplify 0 into 0
7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * * * [progress]: simplifying candidates
7.728 * [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 im) 2) (log (+ re (sqrt (+ (* re re) (* im im))))))
  (- (* (log im) 2) (log (+ re (sqrt (+ (* re re) (* im im))))))
  (- (log (pow im 2)) (log (+ re (sqrt (+ (* re re) (* im im))))))
  (log (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (exp (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))
  (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (* (* (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (- (pow im 2))
  (- (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow (cbrt im) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (cbrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (* (cbrt im) (cbrt im)) 2) 1)
  (/ (pow (cbrt im) 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow (* (cbrt im) (cbrt im)) 2) 1)
  (/ (pow (cbrt im) 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow (sqrt im) 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow (sqrt im) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (sqrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (sqrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow (sqrt im) 2) 1)
  (/ (pow (sqrt im) 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow (sqrt im) 2) 1)
  (/ (pow (sqrt im) 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow 1 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow im 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow 1 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow 1 2) 1)
  (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow 1 2) 1)
  (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ im (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ im (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ im 1)
  (/ im (+ re (sqrt (+ (* re re) (* im im)))))
  (/ im 1)
  (/ im (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (cbrt (pow im 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (cbrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)
  (/ (cbrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)
  (/ (cbrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (sqrt (pow im 2)) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (pow im 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (sqrt (pow im 2)) 1)
  (/ (sqrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (sqrt (pow im 2)) 1)
  (/ (sqrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ 1 (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow im 2) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ 1 1)
  (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ 1 1)
  (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow im (/ 2 2)) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow im (/ 2 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im (/ 2 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im (/ 2 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im (/ 2 2)) 1)
  (/ (pow im (/ 2 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (pow im (/ 2 2)) 1)
  (/ (pow im (/ 2 2)) (+ re (sqrt (+ (* re re) (* im im)))))
  (/ 1 (+ re (sqrt (+ (* re re) (* im im)))))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2))
  (/ (pow im 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))
  (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
  (/ (pow im 2) 1)
  (/ (pow im 2) 1)
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (sqrt im) 2))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) im)
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (cbrt (pow im 2)))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (sqrt (pow im 2)))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2))
  (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im (/ 2 2)))
  (/ (pow im 2) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))
  (/ (pow im 2) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))
  (log (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (exp (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))))
  (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (* (* (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (sqrt 2.0)
  (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))
  (sqrt (* 2.0 (pow im 2)))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))
  (* (exp re) (exp (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))
  (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im))))))
  (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))
  (- re (sqrt (+ (* re re) (* im im))))
  (+ re (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  0
  0
  (- (+ re im))
  (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (+ re im)
  (* 2 re)
  0
8.525 * * * [progress]: adding candidates to table
9.002 * [progress]: [Phase 3 of 3] Extracting.
9.002 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.005 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re)
9.005 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.082 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.104 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.183 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.249 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.339 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.446 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.554 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.679 * * * [regime]: Found split indices: #<option (#s(si 9 35) #s(si 7 102) #s(si 3 177) #s(si 7 226) #s(si 2 255))>
9.681 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.956 * [regimes]: Found splitpoints: (#s(sp 9 im -2.5023742436918673e+151) #s(sp 7 im -5.246119333473003e-164) #s(sp 3 im 1.575660648688742e-78) #s(sp 7 im 9.185171752674522e+153) #s(sp 2 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- im re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (exp (log re)) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (* 2 re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (fabs im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ re im))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>)
9.957 * [simplify]: Simplifying:
  (if (<= im -2.5023742436918673e+151) (* 0.5 (sqrt (* 2.0 (- (+ re im))))) (if (<= im -5.246119333473003e-164) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (if (<= im 1.575660648688742e-78) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= im 9.185171752674522e+153) (* 0.5 (/ (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* 0.5 (sqrt (* 2.0 (- im re))))))))
15.183 * [regime-testing]: Baseline error score: 38.7900327381689
15.185 * [regime-testing]: Oracle error score: 6.692833252472597
15.191 * [regime-testing]: End program error score: 23.18061857691517