0.594 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.109 * * * [progress]: [2/2] Setting up program.
0.113 * [progress]: [Phase 2 of 3] Improving.
0.115 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.116 * [simplify]: Sending expressions to egg_math:
 (* (/ 1.0 2.0) (sqrt (* 2.0 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
0.174 * * [progress]: iteration 1 / 4
0.174 * * * [progress]: picking best candidate
0.179 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.179 * * * [progress]: localizing error
0.256 * * * [progress]: generating rewritten candidates
0.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.329 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.415 * * * [progress]: generating series expansions
0.415 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.424 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.424 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.426 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.426 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.426 * [taylor]: Taking taylor expansion of re in im
0.426 * [backup-simplify]: Simplify re into re
0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.426 * [taylor]: Taking taylor expansion of im in im
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.427 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.427 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.427 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.429 * [taylor]: Taking taylor expansion of im in re
0.429 * [backup-simplify]: Simplify im into im
0.429 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.429 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.429 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.430 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.430 * [taylor]: Taking taylor expansion of re in re
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.430 * [taylor]: Taking taylor expansion of im in re
0.430 * [backup-simplify]: Simplify im into im
0.431 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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 0 into 0
0.432 * [taylor]: Taking taylor expansion of 0 in im
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.434 * [backup-simplify]: Simplify (+ 1 0) into 1
0.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.435 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.435 * [taylor]: Taking taylor expansion of 1/2 in im
0.435 * [backup-simplify]: Simplify 1/2 into 1/2
0.435 * [taylor]: Taking taylor expansion of im in im
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.439 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.439 * [taylor]: Taking taylor expansion of 0 in im
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [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 (* 1 (* im 1)) into im
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
0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.441 * [taylor]: Taking taylor expansion of im in im
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.442 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.442 * [taylor]: Taking taylor expansion of re in im
0.442 * [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
0.444 * [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
0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.451 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.451 * [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
0.452 * [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
0.453 * [backup-simplify]: Simplify (sqrt 1) into 1
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.456 * [taylor]: Taking taylor expansion of 1 in im
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [taylor]: Taking taylor expansion of 0 in im
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.460 * [taylor]: Taking taylor expansion of 1/2 in im
0.460 * [backup-simplify]: Simplify 1/2 into 1/2
0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.460 * [taylor]: Taking taylor expansion of im in im
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in im
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.469 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.469 * [taylor]: Taking taylor expansion of im in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.470 * [taylor]: Taking taylor expansion of re in im
0.470 * [backup-simplify]: Simplify re into re
0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.470 * [backup-simplify]: Simplify (+ 1 0) into 1
0.471 * [backup-simplify]: Simplify (sqrt 1) into 1
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.473 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.473 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.473 * [backup-simplify]: Simplify (+ 0 1) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.475 * [taylor]: Taking taylor expansion of im in re
0.475 * [backup-simplify]: Simplify im into im
0.475 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.475 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [backup-simplify]: Simplify (+ 0 1) into 1
0.481 * [backup-simplify]: Simplify (sqrt 1) into 1
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.483 * [taylor]: Taking taylor expansion of 1 in im
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [taylor]: Taking taylor expansion of 0 in im
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.485 * [taylor]: Taking taylor expansion of 1/2 in im
0.485 * [backup-simplify]: Simplify 1/2 into 1/2
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.485 * [taylor]: Taking taylor expansion of im in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.489 * [taylor]: Taking taylor expansion of 0 in im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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
0.490 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.490 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
0.490 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
0.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.490 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.490 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.490 * [taylor]: Taking taylor expansion of re in im
0.490 * [backup-simplify]: Simplify re into re
0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.490 * [taylor]: Taking taylor expansion of im in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.490 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.490 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.490 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.491 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.491 * [taylor]: Taking taylor expansion of re in im
0.491 * [backup-simplify]: Simplify re into re
0.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.491 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.491 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.491 * [taylor]: Taking taylor expansion of re in re
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.491 * [taylor]: Taking taylor expansion of im in re
0.491 * [backup-simplify]: Simplify im into im
0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.491 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.492 * [taylor]: Taking taylor expansion of re in re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.492 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.492 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.492 * [taylor]: Taking taylor expansion of re in re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.492 * [taylor]: Taking taylor expansion of im in re
0.492 * [backup-simplify]: Simplify im into im
0.492 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.492 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.492 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.492 * [taylor]: Taking taylor expansion of re in re
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [backup-simplify]: Simplify (+ im 0) into im
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (- 1) into -1
0.493 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.493 * [taylor]: Taking taylor expansion of -1 in im
0.493 * [backup-simplify]: Simplify -1 into -1
0.493 * [backup-simplify]: Simplify -1 into -1
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.494 * [backup-simplify]: Simplify (+ 1 0) into 1
0.495 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.495 * [backup-simplify]: Simplify (- 0) into 0
0.495 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.495 * [taylor]: Taking taylor expansion of 1/2 in im
0.495 * [backup-simplify]: Simplify 1/2 into 1/2
0.495 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.495 * [taylor]: Taking taylor expansion of im in im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [taylor]: Taking taylor expansion of 0 in im
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.500 * [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))
0.500 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.500 * [taylor]: Taking taylor expansion of im in im
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.501 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.501 * [taylor]: Taking taylor expansion of re in im
0.501 * [backup-simplify]: Simplify re into re
0.501 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.501 * [backup-simplify]: Simplify (+ 1 0) into 1
0.501 * [backup-simplify]: Simplify (sqrt 1) into 1
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [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 im
0.503 * [taylor]: Taking taylor expansion of re in im
0.503 * [backup-simplify]: Simplify re into re
0.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
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
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.503 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.503 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.503 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [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
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.507 * [taylor]: Taking taylor expansion of re in re
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.508 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.508 * [taylor]: Taking taylor expansion of im in re
0.508 * [backup-simplify]: Simplify im into im
0.508 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.508 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.508 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (+ 0 1) into 1
0.510 * [backup-simplify]: Simplify (sqrt 1) into 1
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.512 * [taylor]: Taking taylor expansion of re in re
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [backup-simplify]: Simplify (- 1) into -1
0.514 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.514 * [taylor]: Taking taylor expansion of 0 in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- 0) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [taylor]: Taking taylor expansion of 0 in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.520 * [taylor]: Taking taylor expansion of 1/2 in im
0.520 * [backup-simplify]: Simplify 1/2 into 1/2
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [taylor]: Taking taylor expansion of 0 in im
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [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)))))
0.532 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.532 * [taylor]: Taking taylor expansion of re in im
0.532 * [backup-simplify]: Simplify re into re
0.532 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.532 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.532 * [taylor]: Taking taylor expansion of im in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.533 * [taylor]: Taking taylor expansion of re in im
0.533 * [backup-simplify]: Simplify re into re
0.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.534 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.538 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.538 * [taylor]: Taking taylor expansion of re in re
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [backup-simplify]: Simplify (+ 0 1) into 1
0.540 * [backup-simplify]: Simplify (sqrt 1) into 1
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.542 * [taylor]: Taking taylor expansion of re in re
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.543 * [taylor]: Taking taylor expansion of im in re
0.543 * [backup-simplify]: Simplify im into im
0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.543 * [taylor]: Taking taylor expansion of re in re
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [backup-simplify]: Simplify (+ 0 1) into 1
0.545 * [backup-simplify]: Simplify (sqrt 1) into 1
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.548 * [backup-simplify]: Simplify (+ 1 1) into 2
0.548 * [taylor]: Taking taylor expansion of 2 in im
0.548 * [backup-simplify]: Simplify 2 into 2
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 2 into 2
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.554 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.554 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.554 * [taylor]: Taking taylor expansion of 1/2 in im
0.554 * [backup-simplify]: Simplify 1/2 into 1/2
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [taylor]: Taking taylor expansion of 0 in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.566 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
0.566 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
0.566 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.566 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.566 * [taylor]: Taking taylor expansion of re in im
0.566 * [backup-simplify]: Simplify re into re
0.566 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.566 * [taylor]: Taking taylor expansion of im in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.567 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.567 * [taylor]: Taking taylor expansion of re in re
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.567 * [taylor]: Taking taylor expansion of im in re
0.567 * [backup-simplify]: Simplify im into im
0.567 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.567 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.567 * [taylor]: Taking taylor expansion of re in re
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.567 * [taylor]: Taking taylor expansion of im in re
0.567 * [backup-simplify]: Simplify im into im
0.567 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.567 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.567 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.567 * [taylor]: Taking taylor expansion of im in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [taylor]: Taking taylor expansion of 0 in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.569 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.569 * [backup-simplify]: Simplify (+ 1 0) into 1
0.569 * [taylor]: Taking taylor expansion of 1 in im
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify 1 into 1
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (* 1 1) into 1
0.570 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [taylor]: Taking taylor expansion of 0 in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.575 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [taylor]: Taking taylor expansion of 0 in im
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
0.576 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.576 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.576 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.576 * [taylor]: Taking taylor expansion of im in im
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.577 * [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 re 2)) in im
0.577 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.577 * [taylor]: Taking taylor expansion of re in im
0.577 * [backup-simplify]: Simplify re into re
0.578 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.578 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.578 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.578 * [taylor]: Taking taylor expansion of im in re
0.578 * [backup-simplify]: Simplify im into im
0.578 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.578 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.578 * [taylor]: Taking taylor expansion of re in re
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (* 1 1) into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.579 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.579 * [taylor]: Taking taylor expansion of im in re
0.579 * [backup-simplify]: Simplify im into im
0.579 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.579 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.580 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.580 * [taylor]: Taking taylor expansion of re in re
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (* 1 1) into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.581 * [backup-simplify]: Simplify (+ 0 1) into 1
0.581 * [taylor]: Taking taylor expansion of 1 in im
0.581 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [taylor]: Taking taylor expansion of 0 in im
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.585 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.586 * [taylor]: Taking taylor expansion of im in im
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (* 1 1) into 1
0.586 * [backup-simplify]: Simplify (/ 1 1) into 1
0.586 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [taylor]: Taking taylor expansion of 0 in im
0.589 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in im
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
0.598 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
0.598 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.598 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.598 * [taylor]: Taking taylor expansion of im in im
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (/ 1 1) into 1
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.599 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.599 * [taylor]: Taking taylor expansion of re in im
0.599 * [backup-simplify]: Simplify re into re
0.599 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.599 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.599 * [taylor]: Taking taylor expansion of im in re
0.599 * [backup-simplify]: Simplify im into im
0.599 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.599 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.599 * [taylor]: Taking taylor expansion of re in re
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 1 into 1
0.600 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (/ 1 1) into 1
0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.600 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.600 * [taylor]: Taking taylor expansion of im in re
0.600 * [backup-simplify]: Simplify im into im
0.601 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.601 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.601 * [taylor]: Taking taylor expansion of re in re
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 1 into 1
0.601 * [backup-simplify]: Simplify (* 1 1) into 1
0.602 * [backup-simplify]: Simplify (/ 1 1) into 1
0.602 * [backup-simplify]: Simplify (+ 0 1) into 1
0.602 * [taylor]: Taking taylor expansion of 1 in im
0.602 * [backup-simplify]: Simplify 1 into 1
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [taylor]: Taking taylor expansion of 0 in im
0.604 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.606 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.606 * [taylor]: Taking taylor expansion of im in im
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (* 1 1) into 1
0.607 * [backup-simplify]: Simplify (/ 1 1) into 1
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.610 * [taylor]: Taking taylor expansion of 0 in im
0.610 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [taylor]: Taking taylor expansion of 0 in im
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
0.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.618 * [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)))
0.618 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0
0.618 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
0.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.618 * [taylor]: Taking taylor expansion of 2.0 in im
0.618 * [backup-simplify]: Simplify 2.0 into 2.0
0.618 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.619 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
0.619 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
0.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.619 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.619 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.619 * [taylor]: Taking taylor expansion of re in im
0.619 * [backup-simplify]: Simplify re into re
0.619 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.620 * [taylor]: Taking taylor expansion of im in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.620 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.620 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.620 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.627 * [taylor]: Taking taylor expansion of re in im
0.627 * [backup-simplify]: Simplify re into re
0.627 * [backup-simplify]: Simplify (- re) into (- re)
0.627 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.628 * [backup-simplify]: Simplify (- 0) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.628 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.629 * [backup-simplify]: Simplify (* 1 1) into 1
0.629 * [backup-simplify]: Simplify (+ 0 1) into 1
0.630 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.630 * [backup-simplify]: Simplify (- 0) into 0
0.630 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.631 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.631 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.633 * [backup-simplify]: Simplify (- 0) into 0
0.633 * [backup-simplify]: Simplify (+ 0 0) into 0
0.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.633 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.634 * [taylor]: Taking taylor expansion of 2.0 in re
0.634 * [backup-simplify]: Simplify 2.0 into 2.0
0.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.635 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.635 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.635 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.635 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.635 * [taylor]: Taking taylor expansion of re in re
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.635 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.635 * [taylor]: Taking taylor expansion of im in re
0.635 * [backup-simplify]: Simplify im into im
0.635 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.635 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.635 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.636 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.636 * [backup-simplify]: Simplify (+ 0 0) into 0
0.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.636 * [taylor]: Taking taylor expansion of re in re
0.636 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify 1 into 1
0.637 * [backup-simplify]: Simplify (- 0) into 0
0.637 * [backup-simplify]: Simplify (+ im 0) into im
0.637 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.637 * [backup-simplify]: Simplify (- 1) into -1
0.637 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.638 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.638 * [taylor]: Taking taylor expansion of 2.0 in re
0.638 * [backup-simplify]: Simplify 2.0 into 2.0
0.638 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.639 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
0.639 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.639 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.639 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.639 * [taylor]: Taking taylor expansion of re in re
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.639 * [taylor]: Taking taylor expansion of im in re
0.639 * [backup-simplify]: Simplify im into im
0.639 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.640 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.640 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.640 * [taylor]: Taking taylor expansion of re in re
0.640 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify 1 into 1
0.641 * [backup-simplify]: Simplify (- 0) into 0
0.641 * [backup-simplify]: Simplify (+ im 0) into im
0.641 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.641 * [backup-simplify]: Simplify (- 1) into -1
0.642 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.642 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.642 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.642 * [taylor]: Taking taylor expansion of 2.0 in im
0.642 * [backup-simplify]: Simplify 2.0 into 2.0
0.643 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.644 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.644 * [taylor]: Taking taylor expansion of im in im
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (sqrt 0) into 0
0.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.648 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.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)))
0.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.650 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.650 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.650 * [taylor]: Taking taylor expansion of 1/2 in im
0.650 * [backup-simplify]: Simplify 1/2 into 1/2
0.650 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.650 * [taylor]: Taking taylor expansion of 2.0 in im
0.651 * [backup-simplify]: Simplify 2.0 into 2.0
0.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.652 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.652 * [taylor]: Taking taylor expansion of im in im
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify (/ 1 1) into 1
0.653 * [backup-simplify]: Simplify (sqrt 0) into 0
0.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.662 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.664 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.664 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.670 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.672 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.674 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.677 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.678 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.682 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.687 * [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))))))))
0.688 * [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))))
0.688 * [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
0.688 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 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
0.688 * [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 (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.689 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.689 * [taylor]: Taking taylor expansion of im in im
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.690 * [backup-simplify]: Simplify (/ 1 1) into 1
0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.690 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.690 * [taylor]: Taking taylor expansion of re in im
0.690 * [backup-simplify]: Simplify re into re
0.690 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.691 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.691 * [backup-simplify]: Simplify (+ 1 0) into 1
0.691 * [backup-simplify]: Simplify (sqrt 1) into 1
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (+ 0 0) into 0
0.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.694 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.694 * [taylor]: Taking taylor expansion of re in im
0.694 * [backup-simplify]: Simplify re into re
0.694 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.694 * [backup-simplify]: Simplify (+ 1 0) into 1
0.695 * [backup-simplify]: Simplify (sqrt 0) into 0
0.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.696 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.696 * [taylor]: Taking taylor expansion of 2.0 in re
0.696 * [backup-simplify]: Simplify 2.0 into 2.0
0.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.698 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.698 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.698 * [taylor]: Taking taylor expansion of im in re
0.698 * [backup-simplify]: Simplify im into im
0.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.698 * [taylor]: Taking taylor expansion of re in re
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 1 into 1
0.699 * [backup-simplify]: Simplify (* 1 1) into 1
0.699 * [backup-simplify]: Simplify (/ 1 1) into 1
0.700 * [backup-simplify]: Simplify (+ 0 1) into 1
0.700 * [backup-simplify]: Simplify (sqrt 1) into 1
0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.703 * [taylor]: Taking taylor expansion of re in re
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.703 * [backup-simplify]: Simplify (/ 1 1) into 1
0.703 * [backup-simplify]: Simplify (- 1) into -1
0.704 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.705 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ 0 0) into 0
0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.707 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.709 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify (- 0) into 0
0.710 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.711 * [backup-simplify]: Simplify (sqrt 0) into 0
0.711 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.712 * [taylor]: Taking taylor expansion of 2.0 in re
0.712 * [backup-simplify]: Simplify 2.0 into 2.0
0.712 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.713 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.713 * [taylor]: Taking taylor expansion of im in re
0.713 * [backup-simplify]: Simplify im into im
0.713 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.713 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.713 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.713 * [taylor]: Taking taylor expansion of re in re
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.714 * [backup-simplify]: Simplify (* 1 1) into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.715 * [backup-simplify]: Simplify (+ 0 1) into 1
0.715 * [backup-simplify]: Simplify (sqrt 1) into 1
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.718 * [taylor]: Taking taylor expansion of re in re
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 1 into 1
0.718 * [backup-simplify]: Simplify (/ 1 1) into 1
0.719 * [backup-simplify]: Simplify (- 1) into -1
0.719 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (- 0) into 0
0.720 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.725 * [backup-simplify]: Simplify (- 0) into 0
0.725 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.726 * [backup-simplify]: Simplify (sqrt 0) into 0
0.727 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.728 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.728 * [taylor]: Taking taylor expansion of 0 in im
0.728 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.729 * [taylor]: Taking taylor expansion of +nan.0 in im
0.729 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.729 * [taylor]: Taking taylor expansion of 2.0 in im
0.729 * [backup-simplify]: Simplify 2.0 into 2.0
0.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.730 * [taylor]: Taking taylor expansion of im in im
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.730 * [backup-simplify]: Simplify (* 1 1) into 1
0.731 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.734 * [backup-simplify]: Simplify (- 0) into 0
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.739 * [backup-simplify]: Simplify (- 0) into 0
0.739 * [backup-simplify]: Simplify (+ 0 0) into 0
0.740 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.741 * [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))))
0.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.741 * [taylor]: Taking taylor expansion of +nan.0 in im
0.741 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.741 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.741 * [taylor]: Taking taylor expansion of 2.0 in im
0.741 * [backup-simplify]: Simplify 2.0 into 2.0
0.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.742 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.742 * [taylor]: Taking taylor expansion of im in im
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 1 into 1
0.742 * [backup-simplify]: Simplify (* 1 1) into 1
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.743 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.751 * [backup-simplify]: Simplify (- 0) into 0
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.753 * [backup-simplify]: Simplify (- 0) into 0
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.755 * [backup-simplify]: Simplify (+ 0 0) into 0
0.756 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify (- 0) into 0
0.757 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.758 * [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))))))
0.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.759 * [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))))))
0.760 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.760 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.760 * [taylor]: Taking taylor expansion of +nan.0 in im
0.760 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.760 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.760 * [taylor]: Taking taylor expansion of 2.0 in im
0.760 * [backup-simplify]: Simplify 2.0 into 2.0
0.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.760 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.760 * [taylor]: Taking taylor expansion of im in im
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.766 * [backup-simplify]: Simplify (* 1 1) into 1
0.766 * [backup-simplify]: Simplify (* 1 1) into 1
0.767 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.767 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.767 * [taylor]: Taking taylor expansion of +nan.0 in im
0.767 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.767 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.767 * [taylor]: Taking taylor expansion of 2.0 in im
0.767 * [backup-simplify]: Simplify 2.0 into 2.0
0.767 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.768 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.768 * [taylor]: Taking taylor expansion of im in im
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 1 into 1
0.768 * [backup-simplify]: Simplify (* 1 1) into 1
0.768 * [backup-simplify]: Simplify (* 1 1) into 1
0.769 * [backup-simplify]: Simplify (* 1 1) into 1
0.769 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.776 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.792 * [backup-simplify]: Simplify (- 0) into 0
0.792 * [backup-simplify]: Simplify (+ 0 0) into 0
0.793 * [backup-simplify]: Simplify (- 0) into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [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)))))))
0.793 * [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
0.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.794 * [taylor]: Taking taylor expansion of re in im
0.794 * [backup-simplify]: Simplify re into re
0.794 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.794 * [taylor]: Taking taylor expansion of im in im
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (* 1 1) into 1
0.795 * [backup-simplify]: Simplify (/ 1 1) into 1
0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.795 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.795 * [taylor]: Taking taylor expansion of re in im
0.795 * [backup-simplify]: Simplify re into re
0.795 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.795 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.795 * [backup-simplify]: Simplify (+ 1 0) into 1
0.795 * [backup-simplify]: Simplify (sqrt 1) into 1
0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (+ 0 0) into 0
0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.797 * [backup-simplify]: Simplify (+ 0 1) into 1
0.797 * [backup-simplify]: Simplify (sqrt 0) into 0
0.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.798 * [taylor]: Taking taylor expansion of 2.0 in re
0.798 * [backup-simplify]: Simplify 2.0 into 2.0
0.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.799 * [taylor]: Taking taylor expansion of re in re
0.799 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (/ 1 1) into 1
0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.800 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.800 * [taylor]: Taking taylor expansion of im in re
0.800 * [backup-simplify]: Simplify im into im
0.800 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.800 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.800 * [taylor]: Taking taylor expansion of re in re
0.800 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify 1 into 1
0.801 * [backup-simplify]: Simplify (* 1 1) into 1
0.801 * [backup-simplify]: Simplify (/ 1 1) into 1
0.801 * [backup-simplify]: Simplify (+ 0 1) into 1
0.802 * [backup-simplify]: Simplify (sqrt 1) into 1
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (+ 0 0) into 0
0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.805 * [backup-simplify]: Simplify (+ 1 1) into 2
0.805 * [backup-simplify]: Simplify (sqrt 0) into 0
0.806 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.806 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.806 * [taylor]: Taking taylor expansion of 2.0 in re
0.806 * [backup-simplify]: Simplify 2.0 into 2.0
0.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.808 * [taylor]: Taking taylor expansion of re in re
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify 1 into 1
0.808 * [backup-simplify]: Simplify (/ 1 1) into 1
0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.808 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.808 * [taylor]: Taking taylor expansion of im in re
0.808 * [backup-simplify]: Simplify im into im
0.808 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.809 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.809 * [taylor]: Taking taylor expansion of re in re
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 1 into 1
0.809 * [backup-simplify]: Simplify (* 1 1) into 1
0.809 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [backup-simplify]: Simplify (+ 0 1) into 1
0.810 * [backup-simplify]: Simplify (sqrt 1) into 1
0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ 0 0) into 0
0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.813 * [backup-simplify]: Simplify (+ 1 1) into 2
0.813 * [backup-simplify]: Simplify (sqrt 0) into 0
0.814 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.815 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.815 * [taylor]: Taking taylor expansion of 0 in im
0.815 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.817 * [taylor]: Taking taylor expansion of +nan.0 in im
0.817 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.817 * [taylor]: Taking taylor expansion of 2.0 in im
0.817 * [backup-simplify]: Simplify 2.0 into 2.0
0.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (+ 0 0) into 0
0.822 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.826 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.826 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.826 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.826 * [taylor]: Taking taylor expansion of +nan.0 in im
0.826 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.826 * [taylor]: Taking taylor expansion of 2.0 in im
0.826 * [backup-simplify]: Simplify 2.0 into 2.0
0.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.828 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.830 * [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)))
0.831 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.836 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.838 * [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))
0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.841 * [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)))))
0.841 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.841 * [taylor]: Taking taylor expansion of +nan.0 in im
0.841 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.841 * [taylor]: Taking taylor expansion of 2.0 in im
0.841 * [backup-simplify]: Simplify 2.0 into 2.0
0.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.843 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.843 * [taylor]: Taking taylor expansion of im in im
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify 1 into 1
0.843 * [backup-simplify]: Simplify (* 1 1) into 1
0.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.844 * [taylor]: Taking taylor expansion of +nan.0 in im
0.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.844 * [taylor]: Taking taylor expansion of 2.0 in im
0.844 * [backup-simplify]: Simplify 2.0 into 2.0
0.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.848 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.849 * [backup-simplify]: Simplify (+ 0 0) into 0
0.849 * [backup-simplify]: Simplify (- 0) into 0
0.849 * [backup-simplify]: Simplify 0 into 0
0.850 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.852 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.853 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.854 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.855 * [backup-simplify]: Simplify (- 0) into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.859 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.860 * [backup-simplify]: Simplify (+ 0 0) into 0
0.862 * [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)))
0.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.866 * [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)))))
0.866 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.866 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.866 * [taylor]: Taking taylor expansion of +nan.0 in im
0.866 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.866 * [taylor]: Taking taylor expansion of 2.0 in im
0.866 * [backup-simplify]: Simplify 2.0 into 2.0
0.866 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.867 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.867 * [taylor]: Taking taylor expansion of im in im
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.868 * [backup-simplify]: Simplify (* 1 1) into 1
0.869 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.869 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.869 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.869 * [taylor]: Taking taylor expansion of +nan.0 in im
0.869 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.869 * [taylor]: Taking taylor expansion of 2.0 in im
0.869 * [backup-simplify]: Simplify 2.0 into 2.0
0.869 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.873 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.873 * [backup-simplify]: Simplify (+ 0 0) into 0
0.873 * [backup-simplify]: Simplify (- 0) into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.879 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.880 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.883 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.885 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.886 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.900 * [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)))))))
0.900 * * * [progress]: simplifying candidates
0.903 * [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)))))))
0.903 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1))
 (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))
 (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))
 (- h1)
 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))
 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)
 (- h1)
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 (log (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (exp (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))
 (cbrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (* (* (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt 2.0)
 (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (sqrt (* 2.0 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))))
 (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (* 2.0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))))
 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (* -2 h1)
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (- (+ (* h2 (* (sqrt 2.0) (pow h0 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) (* h0 h1))))))))
 0
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
2.511 * * * [progress]: adding candidates to table
2.750 * * [progress]: iteration 2 / 4
2.750 * * * [progress]: picking best candidate
2.799 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.799 * * * [progress]: localizing error
2.834 * * * [progress]: generating rewritten candidates
2.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.860 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.024 * * * [progress]: generating series expansions
3.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.024 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.025 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.025 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.025 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.025 * [taylor]: Taking taylor expansion of re in im
3.025 * [backup-simplify]: Simplify re into re
3.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.025 * [taylor]: Taking taylor expansion of im in im
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.025 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.025 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.025 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.026 * [backup-simplify]: Simplify (+ 0 0) into 0
3.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.026 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.026 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.026 * [taylor]: Taking taylor expansion of re in re
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.027 * [taylor]: Taking taylor expansion of im in re
3.027 * [backup-simplify]: Simplify im into im
3.027 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.027 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.027 * [backup-simplify]: Simplify (+ 0 0) into 0
3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.028 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.028 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.028 * [taylor]: Taking taylor expansion of re in re
3.028 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify 1 into 1
3.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.028 * [taylor]: Taking taylor expansion of im in re
3.028 * [backup-simplify]: Simplify im into im
3.028 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.028 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.028 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.028 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.029 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.029 * [taylor]: Taking taylor expansion of im in im
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [taylor]: Taking taylor expansion of 0 in im
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (* 1 1) into 1
3.030 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.031 * [backup-simplify]: Simplify (+ 1 0) into 1
3.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.032 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.032 * [taylor]: Taking taylor expansion of 1/2 in im
3.032 * [backup-simplify]: Simplify 1/2 into 1/2
3.032 * [taylor]: Taking taylor expansion of im in im
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.035 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.035 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.035 * [taylor]: Taking taylor expansion of 0 in im
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.037 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.037 * [taylor]: Taking taylor expansion of im in im
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (* 1 1) into 1
3.038 * [backup-simplify]: Simplify (/ 1 1) into 1
3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.038 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.038 * [taylor]: Taking taylor expansion of re in im
3.038 * [backup-simplify]: Simplify re into re
3.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.039 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.039 * [backup-simplify]: Simplify (+ 1 0) into 1
3.039 * [backup-simplify]: Simplify (sqrt 1) into 1
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.041 * [backup-simplify]: Simplify (+ 0 0) into 0
3.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.041 * [taylor]: Taking taylor expansion of im in re
3.041 * [backup-simplify]: Simplify im into im
3.041 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.041 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.041 * [taylor]: Taking taylor expansion of re in re
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (* 1 1) into 1
3.042 * [backup-simplify]: Simplify (/ 1 1) into 1
3.042 * [backup-simplify]: Simplify (+ 0 1) into 1
3.042 * [backup-simplify]: Simplify (sqrt 1) into 1
3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ 0 0) into 0
3.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.044 * [taylor]: Taking taylor expansion of im in re
3.044 * [backup-simplify]: Simplify im into im
3.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.044 * [taylor]: Taking taylor expansion of re in re
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 1 into 1
3.044 * [backup-simplify]: Simplify (* 1 1) into 1
3.045 * [backup-simplify]: Simplify (/ 1 1) into 1
3.045 * [backup-simplify]: Simplify (+ 0 1) into 1
3.045 * [backup-simplify]: Simplify (sqrt 1) into 1
3.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (+ 0 0) into 0
3.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.047 * [taylor]: Taking taylor expansion of 1 in im
3.047 * [backup-simplify]: Simplify 1 into 1
3.047 * [taylor]: Taking taylor expansion of 0 in im
3.047 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify 1 into 1
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.052 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.052 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.052 * [taylor]: Taking taylor expansion of 1/2 in im
3.052 * [backup-simplify]: Simplify 1/2 into 1/2
3.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.052 * [taylor]: Taking taylor expansion of im in im
3.052 * [backup-simplify]: Simplify 0 into 0
3.052 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (* 1 1) into 1
3.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.056 * [backup-simplify]: Simplify (+ 0 0) into 0
3.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.057 * [taylor]: Taking taylor expansion of 0 in im
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.059 * [taylor]: Taking taylor expansion of im in im
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 1 into 1
3.059 * [backup-simplify]: Simplify (* 1 1) into 1
3.059 * [backup-simplify]: Simplify (/ 1 1) into 1
3.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.059 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.059 * [taylor]: Taking taylor expansion of re in im
3.059 * [backup-simplify]: Simplify re into re
3.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.060 * [backup-simplify]: Simplify (+ 1 0) into 1
3.060 * [backup-simplify]: Simplify (sqrt 1) into 1
3.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.061 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.061 * [taylor]: Taking taylor expansion of im in re
3.061 * [backup-simplify]: Simplify im into im
3.061 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.062 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.062 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.062 * [taylor]: Taking taylor expansion of re in re
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.062 * [backup-simplify]: Simplify (* 1 1) into 1
3.062 * [backup-simplify]: Simplify (/ 1 1) into 1
3.062 * [backup-simplify]: Simplify (+ 0 1) into 1
3.063 * [backup-simplify]: Simplify (sqrt 1) into 1
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.064 * [taylor]: Taking taylor expansion of im in re
3.064 * [backup-simplify]: Simplify im into im
3.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.064 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.064 * [taylor]: Taking taylor expansion of re in re
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.065 * [backup-simplify]: Simplify (* 1 1) into 1
3.065 * [backup-simplify]: Simplify (/ 1 1) into 1
3.065 * [backup-simplify]: Simplify (+ 0 1) into 1
3.065 * [backup-simplify]: Simplify (sqrt 1) into 1
3.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.067 * [backup-simplify]: Simplify (+ 0 0) into 0
3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.067 * [taylor]: Taking taylor expansion of 1 in im
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [taylor]: Taking taylor expansion of 0 in im
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.068 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.069 * [taylor]: Taking taylor expansion of 1/2 in im
3.069 * [backup-simplify]: Simplify 1/2 into 1/2
3.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.069 * [taylor]: Taking taylor expansion of im in im
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (* 1 1) into 1
3.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (+ 0 0) into 0
3.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.073 * [taylor]: Taking taylor expansion of 0 in im
3.073 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.075 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
3.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.075 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.075 * [taylor]: Taking taylor expansion of re in im
3.075 * [backup-simplify]: Simplify re into re
3.075 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.075 * [taylor]: Taking taylor expansion of im in im
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 1 into 1
3.075 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.075 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.075 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.075 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.075 * [backup-simplify]: Simplify (+ 0 0) into 0
3.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.075 * [taylor]: Taking taylor expansion of re in re
3.075 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.076 * [taylor]: Taking taylor expansion of im in re
3.076 * [backup-simplify]: Simplify im into im
3.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.076 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.076 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.076 * [taylor]: Taking taylor expansion of re in re
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.076 * [taylor]: Taking taylor expansion of im in re
3.076 * [backup-simplify]: Simplify im into im
3.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.076 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.077 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.077 * [taylor]: Taking taylor expansion of im in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [taylor]: Taking taylor expansion of 0 in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [backup-simplify]: Simplify (* 1 1) into 1
3.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.078 * [backup-simplify]: Simplify (+ 1 0) into 1
3.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.079 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.079 * [taylor]: Taking taylor expansion of 1/2 in im
3.079 * [backup-simplify]: Simplify 1/2 into 1/2
3.079 * [taylor]: Taking taylor expansion of im in im
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.079 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.081 * [backup-simplify]: Simplify (+ 0 0) into 0
3.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.081 * [taylor]: Taking taylor expansion of 0 in im
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.082 * [taylor]: Taking taylor expansion of im in im
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (* 1 1) into 1
3.082 * [backup-simplify]: Simplify (/ 1 1) into 1
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.082 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.082 * [taylor]: Taking taylor expansion of re in im
3.082 * [backup-simplify]: Simplify re into re
3.083 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.083 * [backup-simplify]: Simplify (+ 1 0) into 1
3.083 * [backup-simplify]: Simplify (sqrt 1) into 1
3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.085 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.085 * [taylor]: Taking taylor expansion of im in re
3.085 * [backup-simplify]: Simplify im into im
3.085 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.086 * [taylor]: Taking taylor expansion of re in re
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [backup-simplify]: Simplify (* 1 1) into 1
3.086 * [backup-simplify]: Simplify (/ 1 1) into 1
3.086 * [backup-simplify]: Simplify (+ 0 1) into 1
3.087 * [backup-simplify]: Simplify (sqrt 1) into 1
3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.088 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.088 * [taylor]: Taking taylor expansion of im in re
3.088 * [backup-simplify]: Simplify im into im
3.088 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.089 * [taylor]: Taking taylor expansion of re in re
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 1 into 1
3.089 * [backup-simplify]: Simplify (* 1 1) into 1
3.089 * [backup-simplify]: Simplify (/ 1 1) into 1
3.089 * [backup-simplify]: Simplify (+ 0 1) into 1
3.090 * [backup-simplify]: Simplify (sqrt 1) into 1
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.091 * [backup-simplify]: Simplify (+ 0 0) into 0
3.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.091 * [taylor]: Taking taylor expansion of 1 in im
3.091 * [backup-simplify]: Simplify 1 into 1
3.091 * [taylor]: Taking taylor expansion of 0 in im
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.093 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.093 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.093 * [taylor]: Taking taylor expansion of 1/2 in im
3.093 * [backup-simplify]: Simplify 1/2 into 1/2
3.093 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.093 * [taylor]: Taking taylor expansion of im in im
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (* 1 1) into 1
3.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (+ 0 0) into 0
3.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.097 * [taylor]: Taking taylor expansion of 0 in im
3.097 * [backup-simplify]: Simplify 0 into 0
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.099 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.099 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.099 * [taylor]: Taking taylor expansion of im in im
3.099 * [backup-simplify]: Simplify 0 into 0
3.099 * [backup-simplify]: Simplify 1 into 1
3.099 * [backup-simplify]: Simplify (* 1 1) into 1
3.099 * [backup-simplify]: Simplify (/ 1 1) into 1
3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.099 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.099 * [taylor]: Taking taylor expansion of re in im
3.099 * [backup-simplify]: Simplify re into re
3.099 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.099 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.100 * [backup-simplify]: Simplify (+ 1 0) into 1
3.100 * [backup-simplify]: Simplify (sqrt 1) into 1
3.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.101 * [taylor]: Taking taylor expansion of im in re
3.101 * [backup-simplify]: Simplify im into im
3.102 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.102 * [taylor]: Taking taylor expansion of re in re
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (* 1 1) into 1
3.102 * [backup-simplify]: Simplify (/ 1 1) into 1
3.102 * [backup-simplify]: Simplify (+ 0 1) into 1
3.103 * [backup-simplify]: Simplify (sqrt 1) into 1
3.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.104 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.104 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.104 * [taylor]: Taking taylor expansion of im in re
3.104 * [backup-simplify]: Simplify im into im
3.104 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.104 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.104 * [taylor]: Taking taylor expansion of re in re
3.104 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (* 1 1) into 1
3.105 * [backup-simplify]: Simplify (/ 1 1) into 1
3.105 * [backup-simplify]: Simplify (+ 0 1) into 1
3.106 * [backup-simplify]: Simplify (sqrt 1) into 1
3.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify (+ 0 0) into 0
3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.107 * [taylor]: Taking taylor expansion of 1 in im
3.107 * [backup-simplify]: Simplify 1 into 1
3.107 * [taylor]: Taking taylor expansion of 0 in im
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.108 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.109 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.109 * [taylor]: Taking taylor expansion of 1/2 in im
3.109 * [backup-simplify]: Simplify 1/2 into 1/2
3.109 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.109 * [taylor]: Taking taylor expansion of im in im
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (* 1 1) into 1
3.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.113 * [taylor]: Taking taylor expansion of 0 in im
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.114 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
3.114 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
3.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
3.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.114 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.114 * [taylor]: Taking taylor expansion of re in im
3.114 * [backup-simplify]: Simplify re into re
3.114 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.114 * [taylor]: Taking taylor expansion of im in im
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 1 into 1
3.115 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.115 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.115 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.115 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.115 * [taylor]: Taking taylor expansion of re in im
3.115 * [backup-simplify]: Simplify re into re
3.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.115 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.115 * [taylor]: Taking taylor expansion of re in re
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.115 * [taylor]: Taking taylor expansion of im in re
3.115 * [backup-simplify]: Simplify im into im
3.115 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.115 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.116 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.116 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.116 * [taylor]: Taking taylor expansion of re in re
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.116 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.116 * [taylor]: Taking taylor expansion of re in re
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.116 * [taylor]: Taking taylor expansion of im in re
3.116 * [backup-simplify]: Simplify im into im
3.116 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.116 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.116 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.117 * [taylor]: Taking taylor expansion of re in re
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify (- 0) into 0
3.117 * [backup-simplify]: Simplify (+ im 0) into im
3.117 * [taylor]: Taking taylor expansion of im in im
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 1 into 1
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify (- 1) into -1
3.118 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.118 * [taylor]: Taking taylor expansion of -1 in im
3.118 * [backup-simplify]: Simplify -1 into -1
3.118 * [backup-simplify]: Simplify -1 into -1
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (* 1 1) into 1
3.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.119 * [backup-simplify]: Simplify (+ 1 0) into 1
3.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.119 * [backup-simplify]: Simplify (- 0) into 0
3.119 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.119 * [taylor]: Taking taylor expansion of 1/2 in im
3.119 * [backup-simplify]: Simplify 1/2 into 1/2
3.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.119 * [taylor]: Taking taylor expansion of im in im
3.119 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 1 into 1
3.120 * [backup-simplify]: Simplify (/ 1 1) into 1
3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.123 * [backup-simplify]: Simplify (- 0) into 0
3.124 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [taylor]: Taking taylor expansion of 0 in im
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.126 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
3.126 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
3.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
3.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.126 * [taylor]: Taking taylor expansion of im in im
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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.127 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.127 * [taylor]: Taking taylor expansion of re in im
3.127 * [backup-simplify]: Simplify re into re
3.127 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.128 * [backup-simplify]: Simplify (+ 1 0) into 1
3.128 * [backup-simplify]: Simplify (sqrt 1) into 1
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.130 * [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 re) in im
3.130 * [taylor]: Taking taylor expansion of re in im
3.131 * [backup-simplify]: Simplify re into re
3.131 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.131 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.131 * [taylor]: Taking taylor expansion of im in re
3.131 * [backup-simplify]: Simplify im into im
3.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.131 * [taylor]: Taking taylor expansion of re in re
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [backup-simplify]: Simplify (* 1 1) into 1
3.132 * [backup-simplify]: Simplify (/ 1 1) into 1
3.132 * [backup-simplify]: Simplify (+ 0 1) into 1
3.133 * [backup-simplify]: Simplify (sqrt 1) into 1
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.135 * [taylor]: Taking taylor expansion of re in re
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
3.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.136 * [taylor]: Taking taylor expansion of im in re
3.136 * [backup-simplify]: Simplify im into im
3.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.136 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.136 * [taylor]: Taking taylor expansion of re in re
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.136 * [backup-simplify]: Simplify (* 1 1) into 1
3.137 * [backup-simplify]: Simplify (/ 1 1) into 1
3.137 * [backup-simplify]: Simplify (+ 0 1) into 1
3.137 * [backup-simplify]: Simplify (sqrt 1) into 1
3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.140 * [taylor]: Taking taylor expansion of re in re
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (/ 1 1) into 1
3.141 * [backup-simplify]: Simplify (- 1) into -1
3.141 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.141 * [taylor]: Taking taylor expansion of 0 in im
3.141 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify (- 0) into 0
3.142 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [taylor]: Taking taylor expansion of 0 in im
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.146 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (- 0) into 0
3.147 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.147 * [taylor]: Taking taylor expansion of 1/2 in im
3.147 * [backup-simplify]: Simplify 1/2 into 1/2
3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.147 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.147 * [taylor]: Taking taylor expansion of im in im
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (/ 1 1) into 1
3.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.152 * [backup-simplify]: Simplify (- 0) into 0
3.153 * [backup-simplify]: Simplify (+ 0 0) into 0
3.153 * [taylor]: Taking taylor expansion of 0 in im
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
3.155 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
3.155 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.155 * [taylor]: Taking taylor expansion of re in im
3.155 * [backup-simplify]: Simplify re into re
3.155 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.155 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.155 * [taylor]: Taking taylor expansion of im in im
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 1 into 1
3.160 * [backup-simplify]: Simplify (* 1 1) into 1
3.160 * [backup-simplify]: Simplify (/ 1 1) into 1
3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.160 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.160 * [taylor]: Taking taylor expansion of re in im
3.160 * [backup-simplify]: Simplify re into re
3.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.161 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.161 * [backup-simplify]: Simplify (+ 1 0) into 1
3.161 * [backup-simplify]: Simplify (sqrt 1) into 1
3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (+ 0 0) into 0
3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.163 * [taylor]: Taking taylor expansion of re in re
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (/ 1 1) into 1
3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.163 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.163 * [taylor]: Taking taylor expansion of im in re
3.163 * [backup-simplify]: Simplify im into im
3.163 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.163 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.163 * [taylor]: Taking taylor expansion of re in re
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify (* 1 1) into 1
3.164 * [backup-simplify]: Simplify (/ 1 1) into 1
3.164 * [backup-simplify]: Simplify (+ 0 1) into 1
3.164 * [backup-simplify]: Simplify (sqrt 1) into 1
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
3.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.166 * [taylor]: Taking taylor expansion of re in re
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [backup-simplify]: Simplify (/ 1 1) into 1
3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.166 * [taylor]: Taking taylor expansion of im in re
3.166 * [backup-simplify]: Simplify im into im
3.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.167 * [taylor]: Taking taylor expansion of re in re
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.167 * [backup-simplify]: Simplify (/ 1 1) into 1
3.167 * [backup-simplify]: Simplify (+ 0 1) into 1
3.168 * [backup-simplify]: Simplify (sqrt 1) into 1
3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.169 * [backup-simplify]: Simplify (+ 1 1) into 2
3.169 * [taylor]: Taking taylor expansion of 2 in im
3.169 * [backup-simplify]: Simplify 2 into 2
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [taylor]: Taking taylor expansion of 0 in im
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 2 into 2
3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.173 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.173 * [taylor]: Taking taylor expansion of 1/2 in im
3.173 * [backup-simplify]: Simplify 1/2 into 1/2
3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.173 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.173 * [taylor]: Taking taylor expansion of im in im
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 1) into 1
3.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [taylor]: Taking taylor expansion of 0 in im
3.179 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.182 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.183 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2)))
3.183 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
3.183 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
3.183 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.183 * [taylor]: Taking taylor expansion of re in im
3.183 * [backup-simplify]: Simplify re into re
3.183 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.183 * [taylor]: Taking taylor expansion of im in im
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 1 into 1
3.183 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.183 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.183 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.184 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.184 * [taylor]: Taking taylor expansion of re in re
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.184 * [taylor]: Taking taylor expansion of im in re
3.184 * [backup-simplify]: Simplify im into im
3.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.185 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.185 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
3.186 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
3.186 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.186 * [taylor]: Taking taylor expansion of re in re
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.186 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.186 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.187 * [taylor]: Taking taylor expansion of im in im
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [taylor]: Taking taylor expansion of 0 in im
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify (* 1 1) into 1
3.188 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.188 * [backup-simplify]: Simplify (+ 1 0) into 1
3.189 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.189 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.189 * [taylor]: Taking taylor expansion of 1/2 in im
3.189 * [backup-simplify]: Simplify 1/2 into 1/2
3.189 * [taylor]: Taking taylor expansion of im in im
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.192 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.192 * [taylor]: Taking taylor expansion of 0 in im
3.192 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.194 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.194 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.194 * [taylor]: Taking taylor expansion of im in im
3.194 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (* 1 1) into 1
3.195 * [backup-simplify]: Simplify (/ 1 1) into 1
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.195 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.195 * [taylor]: Taking taylor expansion of re in im
3.195 * [backup-simplify]: Simplify re into re
3.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.196 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.196 * [backup-simplify]: Simplify (+ 1 0) into 1
3.196 * [backup-simplify]: Simplify (sqrt 1) into 1
3.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (+ 0 0) into 0
3.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.199 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.199 * [taylor]: Taking taylor expansion of im in re
3.199 * [backup-simplify]: Simplify im into im
3.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.200 * [taylor]: Taking taylor expansion of re in re
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (+ 0 1) into 1
3.201 * [backup-simplify]: Simplify (sqrt 1) into 1
3.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (+ 0 0) into 0
3.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.204 * [taylor]: Taking taylor expansion of im in re
3.204 * [backup-simplify]: Simplify im into im
3.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.204 * [taylor]: Taking taylor expansion of re in re
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify (* 1 1) into 1
3.205 * [backup-simplify]: Simplify (/ 1 1) into 1
3.205 * [backup-simplify]: Simplify (+ 0 1) into 1
3.206 * [backup-simplify]: Simplify (sqrt 1) into 1
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.208 * [taylor]: Taking taylor expansion of 1 in im
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [taylor]: Taking taylor expansion of 0 in im
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.209 * [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 (pow im 2)) 0) into (/ 1 (pow im 2))
3.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.212 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.212 * [taylor]: Taking taylor expansion of 1/2 in im
3.212 * [backup-simplify]: Simplify 1/2 into 1/2
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 (* 1 1) into 1
3.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.215 * [taylor]: Taking taylor expansion of 0 in im
3.215 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.217 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
3.217 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
3.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.217 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.217 * [taylor]: Taking taylor expansion of im in im
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [backup-simplify]: Simplify (* 1 1) into 1
3.218 * [backup-simplify]: Simplify (/ 1 1) into 1
3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.218 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.218 * [taylor]: Taking taylor expansion of re in im
3.218 * [backup-simplify]: Simplify re into re
3.218 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.218 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.218 * [backup-simplify]: Simplify (+ 1 0) into 1
3.218 * [backup-simplify]: Simplify (sqrt 1) into 1
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.220 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.220 * [taylor]: Taking taylor expansion of im in re
3.220 * [backup-simplify]: Simplify im into im
3.220 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.220 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.220 * [taylor]: Taking taylor expansion of re in re
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.220 * [backup-simplify]: Simplify (* 1 1) into 1
3.221 * [backup-simplify]: Simplify (/ 1 1) into 1
3.221 * [backup-simplify]: Simplify (+ 0 1) 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
3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
3.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
3.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.223 * [taylor]: Taking taylor expansion of im in re
3.223 * [backup-simplify]: Simplify im into im
3.223 * [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
3.223 * [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
3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ 0 0) into 0
3.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.225 * [taylor]: Taking taylor expansion of 1 in im
3.225 * [backup-simplify]: Simplify 1 into 1
3.225 * [taylor]: Taking taylor expansion of 0 in im
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
3.227 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.227 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.227 * [taylor]: Taking taylor expansion of 1/2 in im
3.228 * [backup-simplify]: Simplify 1/2 into 1/2
3.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.228 * [taylor]: Taking taylor expansion of im in im
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 (/ 1/2 1) into 1/2
3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (+ 0 0) into 0
3.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.231 * [taylor]: Taking taylor expansion of 0 in im
3.231 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.232 * * * [progress]: simplifying candidates
3.235 * [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))))
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  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
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  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
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  0
  (* -2 re)
  im
  re
  (* -1 re)
3.236 * [simplify]: Sending expressions to egg_math:
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 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
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 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
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 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
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 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
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 (exp (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
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 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
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 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
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 (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- h1)
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 (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0)))
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 (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
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 (sqrt (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
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 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))))
 (* (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 1 1)
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* 2 (/ 1 2))
 (* 2 1)
 (* 2 (/ (/ 1 2) 2))
 (* 2 (/ 1 2))
 (* 2 (/ (/ 1 2) 2))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1)))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1)
 (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))))
 (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))))
 (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (* -2 h1)
 h0
 h1
 (* -1 h1)
3.957 * * * [progress]: adding candidates to table
4.419 * * [progress]: iteration 3 / 4
4.419 * * * [progress]: picking best candidate
4.442 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))>
4.442 * * * [progress]: localizing error
4.470 * * * [progress]: generating rewritten candidates
4.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
4.491 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
4.618 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
4.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.683 * * * [progress]: generating series expansions
4.683 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
4.683 * [backup-simplify]: Simplify (pow (+ (* re re) (* im im)) 1/2) into (pow (+ (pow re 2) (pow im 2)) 1/2)
4.683 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in (re im) around 0
4.683 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im
4.683 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im
4.683 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im
4.684 * [taylor]: Taking taylor expansion of 1/2 in im
4.684 * [backup-simplify]: Simplify 1/2 into 1/2
4.684 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
4.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.684 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.684 * [taylor]: Taking taylor expansion of re in im
4.684 * [backup-simplify]: Simplify re into re
4.684 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.684 * [taylor]: Taking taylor expansion of im in im
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.684 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.684 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
4.684 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2)))
4.684 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2)
4.684 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.684 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.684 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.684 * [taylor]: Taking taylor expansion of 1/2 in re
4.684 * [backup-simplify]: Simplify 1/2 into 1/2
4.684 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.685 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.685 * [taylor]: Taking taylor expansion of re in re
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.685 * [taylor]: Taking taylor expansion of im in re
4.685 * [backup-simplify]: Simplify im into im
4.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.685 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.685 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.685 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.685 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.685 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.685 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.685 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.685 * [taylor]: Taking taylor expansion of 1/2 in re
4.685 * [backup-simplify]: Simplify 1/2 into 1/2
4.685 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.685 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.685 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.685 * [taylor]: Taking taylor expansion of re in re
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.685 * [taylor]: Taking taylor expansion of im in re
4.685 * [backup-simplify]: Simplify im into im
4.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.685 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.685 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.686 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.686 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.686 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im
4.686 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im
4.686 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im
4.686 * [taylor]: Taking taylor expansion of 1/2 in im
4.686 * [backup-simplify]: Simplify 1/2 into 1/2
4.686 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
4.686 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.686 * [taylor]: Taking taylor expansion of im in im
4.686 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.686 * [backup-simplify]: Simplify (* 1 1) into 1
4.687 * [backup-simplify]: Simplify (log 1) into 0
4.687 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.687 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im)
4.687 * [backup-simplify]: Simplify (exp (log im)) into im
4.687 * [backup-simplify]: Simplify im into im
4.688 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0
4.690 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.690 * [taylor]: Taking taylor expansion of 0 in im
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.691 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0
4.692 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (* 1 1) into 1
4.693 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.693 * [backup-simplify]: Simplify (+ 1 0) into 1
4.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
4.695 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2)))
4.696 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
4.696 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.696 * [taylor]: Taking taylor expansion of 1/2 in im
4.696 * [backup-simplify]: Simplify 1/2 into 1/2
4.696 * [taylor]: Taking taylor expansion of im in im
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 1 into 1
4.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.702 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
4.704 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.704 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.706 * [backup-simplify]: Simplify (+ 0 0) into 0
4.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
4.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
4.713 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.713 * [taylor]: Taking taylor expansion of 0 in im
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify im into im
4.714 * [backup-simplify]: Simplify (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2)
4.714 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in (re im) around 0
4.714 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
4.714 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.714 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.714 * [taylor]: Taking taylor expansion of 1/2 in im
4.714 * [backup-simplify]: Simplify 1/2 into 1/2
4.714 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.714 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.714 * [taylor]: Taking taylor expansion of im in im
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [backup-simplify]: Simplify (* 1 1) into 1
4.715 * [backup-simplify]: Simplify (/ 1 1) into 1
4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.715 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.715 * [taylor]: Taking taylor expansion of re in im
4.715 * [backup-simplify]: Simplify re into re
4.715 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.715 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.716 * [backup-simplify]: Simplify (+ 1 0) into 1
4.716 * [backup-simplify]: Simplify (log 1) into 0
4.717 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.717 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
4.717 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.717 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.717 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.717 * [taylor]: Taking taylor expansion of 1/2 in re
4.717 * [backup-simplify]: Simplify 1/2 into 1/2
4.717 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.717 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.717 * [taylor]: Taking taylor expansion of im in re
4.717 * [backup-simplify]: Simplify im into im
4.717 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.717 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.717 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.717 * [taylor]: Taking taylor expansion of re in re
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (* 1 1) into 1
4.718 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [backup-simplify]: Simplify (+ 0 1) into 1
4.719 * [backup-simplify]: Simplify (log 1) into 0
4.719 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.720 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.720 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.720 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.720 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.720 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.720 * [taylor]: Taking taylor expansion of 1/2 in re
4.720 * [backup-simplify]: Simplify 1/2 into 1/2
4.720 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.720 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.720 * [taylor]: Taking taylor expansion of im in re
4.720 * [backup-simplify]: Simplify im into im
4.720 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.721 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.721 * [taylor]: Taking taylor expansion of re in re
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (* 1 1) into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.722 * [backup-simplify]: Simplify (+ 0 1) into 1
4.722 * [backup-simplify]: Simplify (log 1) into 0
4.723 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.723 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.723 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.723 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.723 * [taylor]: Taking taylor expansion of re in im
4.723 * [backup-simplify]: Simplify re into re
4.723 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.723 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.725 * [backup-simplify]: Simplify (+ 0 0) into 0
4.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.727 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
4.728 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.728 * [taylor]: Taking taylor expansion of 0 in im
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.729 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.734 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.734 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2)))
4.735 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.735 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im
4.736 * [taylor]: Taking taylor expansion of 1/2 in im
4.736 * [backup-simplify]: Simplify 1/2 into 1/2
4.736 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.736 * [taylor]: Taking taylor expansion of re in im
4.736 * [backup-simplify]: Simplify re into re
4.736 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.736 * [taylor]: Taking taylor expansion of im in im
4.736 * [backup-simplify]: Simplify 0 into 0
4.736 * [backup-simplify]: Simplify 1 into 1
4.736 * [backup-simplify]: Simplify (* 1 1) into 1
4.736 * [backup-simplify]: Simplify (* re 1) into re
4.736 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re)
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.739 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.739 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.739 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0
4.739 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.739 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.747 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.750 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.750 * [taylor]: Taking taylor expansion of 0 in im
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify (/ 1 (/ 1 re)) into re
4.751 * [backup-simplify]: Simplify (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2)
4.751 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in (re im) around 0
4.751 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
4.751 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.751 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.751 * [taylor]: Taking taylor expansion of 1/2 in im
4.751 * [backup-simplify]: Simplify 1/2 into 1/2
4.751 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.751 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.751 * [taylor]: Taking taylor expansion of im in im
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 1 into 1
4.752 * [backup-simplify]: Simplify (* 1 1) into 1
4.752 * [backup-simplify]: Simplify (/ 1 1) into 1
4.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.752 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.752 * [taylor]: Taking taylor expansion of re in im
4.752 * [backup-simplify]: Simplify re into re
4.752 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.752 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.753 * [backup-simplify]: Simplify (+ 1 0) into 1
4.753 * [backup-simplify]: Simplify (log 1) into 0
4.754 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.754 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
4.754 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.754 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.754 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.754 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.754 * [taylor]: Taking taylor expansion of 1/2 in re
4.754 * [backup-simplify]: Simplify 1/2 into 1/2
4.754 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.754 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.754 * [taylor]: Taking taylor expansion of im in re
4.754 * [backup-simplify]: Simplify im into im
4.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.755 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.755 * [taylor]: Taking taylor expansion of re in re
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.755 * [backup-simplify]: Simplify (* 1 1) into 1
4.755 * [backup-simplify]: Simplify (/ 1 1) into 1
4.756 * [backup-simplify]: Simplify (+ 0 1) into 1
4.756 * [backup-simplify]: Simplify (log 1) into 0
4.757 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.757 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.757 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.757 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.757 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.757 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.757 * [taylor]: Taking taylor expansion of 1/2 in re
4.757 * [backup-simplify]: Simplify 1/2 into 1/2
4.757 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.757 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.757 * [taylor]: Taking taylor expansion of im in re
4.757 * [backup-simplify]: Simplify im into im
4.757 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.758 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.758 * [taylor]: Taking taylor expansion of re in re
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify 1 into 1
4.758 * [backup-simplify]: Simplify (* 1 1) into 1
4.758 * [backup-simplify]: Simplify (/ 1 1) into 1
4.759 * [backup-simplify]: Simplify (+ 0 1) into 1
4.759 * [backup-simplify]: Simplify (log 1) into 0
4.760 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.760 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.760 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.760 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.760 * [taylor]: Taking taylor expansion of re in im
4.760 * [backup-simplify]: Simplify re into re
4.760 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.760 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (+ 0 0) into 0
4.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.764 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
4.765 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.765 * [taylor]: Taking taylor expansion of 0 in im
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.769 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.770 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2)))
4.771 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.772 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im
4.772 * [taylor]: Taking taylor expansion of 1/2 in im
4.772 * [backup-simplify]: Simplify 1/2 into 1/2
4.772 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.772 * [taylor]: Taking taylor expansion of re in im
4.772 * [backup-simplify]: Simplify re into re
4.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.772 * [taylor]: Taking taylor expansion of im in im
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 1 into 1
4.772 * [backup-simplify]: Simplify (* 1 1) into 1
4.772 * [backup-simplify]: Simplify (* re 1) into re
4.772 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re)
4.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.774 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.775 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0
4.775 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (+ 0 0) into 0
4.782 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.782 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
4.786 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.786 * [taylor]: Taking taylor expansion of 0 in im
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify (/ 1 (/ 1 (- re))) into (* -1 re)
4.786 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
4.786 * [backup-simplify]: Simplify (- (pow (+ (* re re) (* im im)) 1/2) re) into (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)
4.786 * [approximate]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in (re im) around 0
4.786 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in im
4.786 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im
4.786 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im
4.786 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im
4.786 * [taylor]: Taking taylor expansion of 1/2 in im
4.786 * [backup-simplify]: Simplify 1/2 into 1/2
4.786 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
4.786 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.786 * [taylor]: Taking taylor expansion of re in im
4.786 * [backup-simplify]: Simplify re into re
4.786 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.786 * [taylor]: Taking taylor expansion of im in im
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.787 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.787 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
4.787 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2)))
4.787 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2)
4.787 * [taylor]: Taking taylor expansion of re in im
4.787 * [backup-simplify]: Simplify re into re
4.787 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re
4.787 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.787 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.787 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.787 * [taylor]: Taking taylor expansion of 1/2 in re
4.787 * [backup-simplify]: Simplify 1/2 into 1/2
4.787 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.788 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.788 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.788 * [taylor]: Taking taylor expansion of re in re
4.788 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify 1 into 1
4.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.788 * [taylor]: Taking taylor expansion of im in re
4.788 * [backup-simplify]: Simplify im into im
4.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.788 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.788 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.788 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.788 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.788 * [taylor]: Taking taylor expansion of re in re
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re
4.789 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.789 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.789 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.789 * [taylor]: Taking taylor expansion of 1/2 in re
4.789 * [backup-simplify]: Simplify 1/2 into 1/2
4.789 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.789 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.789 * [taylor]: Taking taylor expansion of re in re
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.789 * [taylor]: Taking taylor expansion of im in re
4.789 * [backup-simplify]: Simplify im into im
4.789 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.789 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.789 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.790 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.790 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.790 * [taylor]: Taking taylor expansion of re in re
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 1 into 1
4.797 * [backup-simplify]: Simplify (- 0) into 0
4.797 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2)
4.797 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im
4.797 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im
4.797 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im
4.797 * [taylor]: Taking taylor expansion of 1/2 in im
4.797 * [backup-simplify]: Simplify 1/2 into 1/2
4.797 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
4.797 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.797 * [taylor]: Taking taylor expansion of im in im
4.797 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify 1 into 1
4.798 * [backup-simplify]: Simplify (* 1 1) into 1
4.799 * [backup-simplify]: Simplify (log 1) into 0
4.799 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.799 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im)
4.799 * [backup-simplify]: Simplify (exp (log im)) into im
4.799 * [backup-simplify]: Simplify im into im
4.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.800 * [backup-simplify]: Simplify (+ 0 0) into 0
4.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0
4.802 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.803 * [backup-simplify]: Simplify (- 1) into -1
4.803 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.803 * [taylor]: Taking taylor expansion of -1 in im
4.803 * [backup-simplify]: Simplify -1 into -1
4.803 * [backup-simplify]: Simplify -1 into -1
4.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.806 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0
4.807 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.807 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify (* 1 1) into 1
4.808 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.809 * [backup-simplify]: Simplify (+ 1 0) into 1
4.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
4.811 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2)))
4.813 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
4.813 * [backup-simplify]: Simplify (- 0) into 0
4.813 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.813 * [taylor]: Taking taylor expansion of 1/2 in im
4.813 * [backup-simplify]: Simplify 1/2 into 1/2
4.813 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.813 * [taylor]: Taking taylor expansion of im in im
4.813 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify 1 into 1
4.814 * [backup-simplify]: Simplify (/ 1 1) into 1
4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.820 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
4.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
4.822 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.824 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.824 * [backup-simplify]: Simplify (+ 0 0) into 0
4.827 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
4.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
4.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.831 * [backup-simplify]: Simplify (- 0) into 0
4.832 * [backup-simplify]: Simplify (+ 0 0) into 0
4.832 * [taylor]: Taking taylor expansion of 0 in im
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 0 into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify (+ (* -1 (* 1 re)) im) into (- im re)
4.835 * [backup-simplify]: Simplify (- (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) (/ 1 re)) into (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))
4.835 * [approximate]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in (re im) around 0
4.835 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im
4.835 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
4.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.835 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.835 * [taylor]: Taking taylor expansion of 1/2 in im
4.835 * [backup-simplify]: Simplify 1/2 into 1/2
4.835 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.835 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.835 * [taylor]: Taking taylor expansion of im in im
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 1 into 1
4.836 * [backup-simplify]: Simplify (* 1 1) into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.836 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.836 * [taylor]: Taking taylor expansion of re in im
4.836 * [backup-simplify]: Simplify re into re
4.836 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.836 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.837 * [backup-simplify]: Simplify (+ 1 0) into 1
4.837 * [backup-simplify]: Simplify (log 1) into 0
4.838 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.838 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
4.838 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.838 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.838 * [taylor]: Taking taylor expansion of re in im
4.838 * [backup-simplify]: Simplify re into re
4.838 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.838 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
4.838 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.838 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.838 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.838 * [taylor]: Taking taylor expansion of 1/2 in re
4.838 * [backup-simplify]: Simplify 1/2 into 1/2
4.838 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.839 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.839 * [taylor]: Taking taylor expansion of im in re
4.839 * [backup-simplify]: Simplify im into im
4.839 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.839 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.839 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.839 * [taylor]: Taking taylor expansion of re in re
4.839 * [backup-simplify]: Simplify 0 into 0
4.839 * [backup-simplify]: Simplify 1 into 1
4.839 * [backup-simplify]: Simplify (* 1 1) into 1
4.840 * [backup-simplify]: Simplify (/ 1 1) into 1
4.840 * [backup-simplify]: Simplify (+ 0 1) into 1
4.841 * [backup-simplify]: Simplify (log 1) into 0
4.841 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.841 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.841 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.841 * [taylor]: Taking taylor expansion of re in re
4.841 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify 1 into 1
4.842 * [backup-simplify]: Simplify (/ 1 1) into 1
4.842 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
4.842 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.842 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.842 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.842 * [taylor]: Taking taylor expansion of 1/2 in re
4.842 * [backup-simplify]: Simplify 1/2 into 1/2
4.842 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.842 * [taylor]: Taking taylor expansion of im in re
4.842 * [backup-simplify]: Simplify im into im
4.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.843 * [taylor]: Taking taylor expansion of re in re
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.843 * [backup-simplify]: Simplify (* 1 1) into 1
4.843 * [backup-simplify]: Simplify (/ 1 1) into 1
4.844 * [backup-simplify]: Simplify (+ 0 1) into 1
4.844 * [backup-simplify]: Simplify (log 1) into 0
4.845 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.845 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.845 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.845 * [taylor]: Taking taylor expansion of re in re
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.846 * [backup-simplify]: Simplify (/ 1 1) into 1
4.846 * [backup-simplify]: Simplify (- 1) into -1
4.846 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.846 * [taylor]: Taking taylor expansion of -1 in im
4.847 * [backup-simplify]: Simplify -1 into -1
4.847 * [backup-simplify]: Simplify -1 into -1
4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (- 0) into 0
4.848 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
4.848 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.848 * [taylor]: Taking taylor expansion of re in im
4.848 * [backup-simplify]: Simplify re into re
4.848 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.848 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.848 * [backup-simplify]: Simplify 0 into 0
4.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.850 * [backup-simplify]: Simplify (+ 0 0) into 0
4.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.852 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
4.853 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.855 * [backup-simplify]: Simplify (- 0) into 0
4.855 * [backup-simplify]: Simplify (+ 0 0) into 0
4.855 * [taylor]: Taking taylor expansion of 0 in im
4.855 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.855 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.860 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.861 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2)))
4.862 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.864 * [backup-simplify]: Simplify (- 0) into 0
4.864 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2))))
4.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
4.864 * [taylor]: Taking taylor expansion of 1/2 in im
4.864 * [backup-simplify]: Simplify 1/2 into 1/2
4.864 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
4.864 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.864 * [taylor]: Taking taylor expansion of re in im
4.864 * [backup-simplify]: Simplify re into re
4.864 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.864 * [taylor]: Taking taylor expansion of im in im
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (* 1 1) into 1
4.865 * [backup-simplify]: Simplify (* re 1) into re
4.865 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.867 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.867 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* -1 (* 1 (/ 1 (/ 1 re))))) into 0
4.870 * [backup-simplify]: Simplify (- (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) (/ 1 (- re))) into (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))
4.870 * [approximate]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in (re im) around 0
4.870 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im
4.870 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
4.870 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
4.870 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.870 * [taylor]: Taking taylor expansion of 1/2 in im
4.870 * [backup-simplify]: Simplify 1/2 into 1/2
4.870 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.870 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.870 * [taylor]: Taking taylor expansion of im in im
4.870 * [backup-simplify]: Simplify 0 into 0
4.870 * [backup-simplify]: Simplify 1 into 1
4.870 * [backup-simplify]: Simplify (* 1 1) into 1
4.871 * [backup-simplify]: Simplify (/ 1 1) into 1
4.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.871 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.871 * [taylor]: Taking taylor expansion of re in im
4.871 * [backup-simplify]: Simplify re into re
4.871 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.871 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.872 * [backup-simplify]: Simplify (+ 1 0) into 1
4.872 * [backup-simplify]: Simplify (log 1) into 0
4.872 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.873 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
4.873 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
4.873 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.873 * [taylor]: Taking taylor expansion of re in im
4.873 * [backup-simplify]: Simplify re into re
4.873 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.873 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
4.873 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.873 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.873 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.873 * [taylor]: Taking taylor expansion of 1/2 in re
4.873 * [backup-simplify]: Simplify 1/2 into 1/2
4.873 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.873 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.873 * [taylor]: Taking taylor expansion of im in re
4.873 * [backup-simplify]: Simplify im into im
4.873 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.873 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.873 * [taylor]: Taking taylor expansion of re in re
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [backup-simplify]: Simplify (* 1 1) into 1
4.874 * [backup-simplify]: Simplify (/ 1 1) into 1
4.875 * [backup-simplify]: Simplify (+ 0 1) into 1
4.875 * [backup-simplify]: Simplify (log 1) into 0
4.875 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.876 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.876 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.876 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
4.876 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
4.876 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
4.876 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
4.876 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.876 * [taylor]: Taking taylor expansion of 1/2 in re
4.876 * [backup-simplify]: Simplify 1/2 into 1/2
4.876 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.876 * [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 (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1
4.878 * [backup-simplify]: Simplify (/ 1 1) into 1
4.878 * [backup-simplify]: Simplify (+ 0 1) into 1
4.878 * [backup-simplify]: Simplify (log 1) into 0
4.879 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.879 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
4.879 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
4.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.879 * [taylor]: Taking taylor expansion of re in re
4.879 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify (/ 1 1) into 1
4.880 * [backup-simplify]: Simplify (+ 0 1) into 1
4.880 * [taylor]: Taking taylor expansion of 1 in im
4.880 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify 1 into 1
4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.882 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
4.882 * [taylor]: Taking taylor expansion of (pow re -1) in im
4.882 * [taylor]: Taking taylor expansion of re in im
4.882 * [backup-simplify]: Simplify re into re
4.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.882 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.884 * [backup-simplify]: Simplify (+ 0 0) into 0
4.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.886 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
4.887 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (+ 0 0) into 0
4.888 * [taylor]: Taking taylor expansion of 0 in im
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
4.893 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.894 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2)))
4.895 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2)))
4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.896 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2))))
4.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im
4.896 * [taylor]: Taking taylor expansion of 1/2 in im
4.896 * [backup-simplify]: Simplify 1/2 into 1/2
4.896 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im
4.896 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im
4.896 * [taylor]: Taking taylor expansion of re in im
4.896 * [backup-simplify]: Simplify re into re
4.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.896 * [taylor]: Taking taylor expansion of im in im
4.896 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify 1 into 1
4.897 * [backup-simplify]: Simplify (* 1 1) into 1
4.897 * [backup-simplify]: Simplify (* re 1) into re
4.897 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.899 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0
4.899 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0
4.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* 2 re))
4.901 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
4.901 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2))
4.901 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0
4.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.901 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.901 * [taylor]: Taking taylor expansion of re in im
4.901 * [backup-simplify]: Simplify re into re
4.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.902 * [taylor]: Taking taylor expansion of im in im
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 1 into 1
4.902 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.902 * [taylor]: Taking taylor expansion of re in re
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 1 into 1
4.902 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.902 * [taylor]: Taking taylor expansion of im in re
4.902 * [backup-simplify]: Simplify im into im
4.902 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.902 * [taylor]: Taking taylor expansion of re in re
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 1 into 1
4.902 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.902 * [taylor]: Taking taylor expansion of im in re
4.902 * [backup-simplify]: Simplify im into im
4.902 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.902 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.902 * [taylor]: Taking taylor expansion of im in im
4.902 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.903 * [backup-simplify]: Simplify (+ 0 0) into 0
4.903 * [taylor]: Taking taylor expansion of 0 in im
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify (* 1 1) into 1
4.904 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.904 * [backup-simplify]: Simplify (+ 1 0) into 1
4.904 * [taylor]: Taking taylor expansion of 1 in im
4.904 * [backup-simplify]: Simplify 1 into 1
4.904 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.905 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.907 * [backup-simplify]: Simplify (+ 0 0) into 0
4.907 * [taylor]: Taking taylor expansion of 0 in im
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 0 into 0
4.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.910 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
4.910 * [backup-simplify]: Simplify (+ 0 0) into 0
4.910 * [taylor]: Taking taylor expansion of 0 in im
4.910 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2))
4.911 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
4.911 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.911 * [taylor]: Taking taylor expansion of im in im
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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.912 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.912 * [taylor]: Taking taylor expansion of re in im
4.912 * [backup-simplify]: Simplify re into re
4.912 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.912 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.912 * [taylor]: Taking taylor expansion of im in re
4.912 * [backup-simplify]: Simplify im into im
4.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.913 * [taylor]: Taking taylor expansion of re in re
4.913 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify 1 into 1
4.913 * [backup-simplify]: Simplify (* 1 1) into 1
4.913 * [backup-simplify]: Simplify (/ 1 1) into 1
4.913 * [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 * [taylor]: Taking taylor expansion of 1 in im
4.915 * [backup-simplify]: Simplify 1 into 1
4.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.917 * [backup-simplify]: Simplify (+ 0 0) into 0
4.917 * [taylor]: Taking taylor expansion of 0 in im
4.917 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.919 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
4.920 * [backup-simplify]: Simplify (* 1 1) into 1
4.920 * [backup-simplify]: Simplify (/ 1 1) into 1
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.923 * [backup-simplify]: Simplify (+ 0 0) into 0
4.923 * [taylor]: Taking taylor expansion of 0 in im
4.923 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.928 * [backup-simplify]: Simplify (+ 0 0) into 0
4.928 * [taylor]: Taking taylor expansion of 0 in im
4.928 * [backup-simplify]: Simplify 0 into 0
4.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2))
4.931 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))
4.931 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0
4.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.931 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.931 * [taylor]: Taking taylor expansion of im in im
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (* 1 1) into 1
4.932 * [backup-simplify]: Simplify (/ 1 1) into 1
4.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.932 * [taylor]: Taking taylor expansion of re in im
4.932 * [backup-simplify]: Simplify re into re
4.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.932 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.932 * [taylor]: Taking taylor expansion of im in re
4.932 * [backup-simplify]: Simplify im into im
4.932 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.932 * [taylor]: Taking taylor expansion of re in re
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.933 * [backup-simplify]: Simplify (* 1 1) into 1
4.933 * [backup-simplify]: Simplify (/ 1 1) into 1
4.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.933 * [taylor]: Taking taylor expansion of im in re
4.933 * [backup-simplify]: Simplify im into im
4.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.933 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.933 * [taylor]: Taking taylor expansion of re in re
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 1 into 1
4.933 * [backup-simplify]: Simplify (* 1 1) into 1
4.934 * [backup-simplify]: Simplify (/ 1 1) into 1
4.934 * [backup-simplify]: Simplify (+ 0 1) into 1
4.934 * [taylor]: Taking taylor expansion of 1 in im
4.934 * [backup-simplify]: Simplify 1 into 1
4.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.935 * [backup-simplify]: Simplify (+ 0 0) into 0
4.935 * [taylor]: Taking taylor expansion of 0 in im
4.935 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.936 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.936 * [taylor]: Taking taylor expansion of im in im
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (* 1 1) into 1
4.937 * [backup-simplify]: Simplify (/ 1 1) into 1
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.938 * [backup-simplify]: Simplify (+ 0 0) into 0
4.938 * [taylor]: Taking taylor expansion of 0 in im
4.938 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.941 * [taylor]: Taking taylor expansion of 0 in im
4.942 * [backup-simplify]: Simplify 0 into 0
4.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2))
4.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
4.943 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))) into (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)))
4.943 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in (re im) around 0
4.943 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in im
4.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.943 * [taylor]: Taking taylor expansion of 2.0 in im
4.943 * [backup-simplify]: Simplify 2.0 into 2.0
4.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.944 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in im
4.944 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in im
4.944 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im
4.944 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im
4.944 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im
4.944 * [taylor]: Taking taylor expansion of 1/2 in im
4.944 * [backup-simplify]: Simplify 1/2 into 1/2
4.944 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im
4.944 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.944 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.944 * [taylor]: Taking taylor expansion of re in im
4.944 * [backup-simplify]: Simplify re into re
4.944 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.944 * [taylor]: Taking taylor expansion of im in im
4.944 * [backup-simplify]: Simplify 0 into 0
4.944 * [backup-simplify]: Simplify 1 into 1
4.944 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.944 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.945 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
4.945 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2)))
4.945 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2)
4.945 * [taylor]: Taking taylor expansion of re in im
4.945 * [backup-simplify]: Simplify re into re
4.945 * [backup-simplify]: Simplify (- re) into (- re)
4.945 * [backup-simplify]: Simplify (+ (pow (pow re 2) 1/2) (- re)) into (- (pow (pow re 2) 1/2) re)
4.945 * [backup-simplify]: Simplify (sqrt (- (pow (pow re 2) 1/2) re)) into (sqrt (- (pow (pow re 2) 1/2) re))
4.945 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.950 * [backup-simplify]: Simplify (+ 0 0) into 0
4.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0
4.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow re 2)))) into 0
4.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.952 * [backup-simplify]: Simplify (- 0) into 0
4.953 * [backup-simplify]: Simplify (+ 0 0) into 0
4.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow (pow re 2) 1/2) re)))) into 0
4.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in re
4.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.953 * [taylor]: Taking taylor expansion of 2.0 in re
4.953 * [backup-simplify]: Simplify 2.0 into 2.0
4.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.954 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in re
4.954 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re
4.954 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.954 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.954 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.954 * [taylor]: Taking taylor expansion of 1/2 in re
4.954 * [backup-simplify]: Simplify 1/2 into 1/2
4.954 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.954 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.954 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.954 * [taylor]: Taking taylor expansion of re in re
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 1 into 1
4.954 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.954 * [taylor]: Taking taylor expansion of im in re
4.954 * [backup-simplify]: Simplify im into im
4.954 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.954 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.954 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.954 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.954 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.954 * [taylor]: Taking taylor expansion of re in re
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 1 into 1
4.955 * [backup-simplify]: Simplify (- 0) into 0
4.955 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2)
4.955 * [backup-simplify]: Simplify (sqrt (pow (pow im 2) 1/2)) into (sqrt im)
4.955 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.955 * [backup-simplify]: Simplify (+ 0 0) into 0
4.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0
4.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.957 * [backup-simplify]: Simplify (- 1) into -1
4.957 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.957 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow (pow im 2) 1/2)))) into (* -1/2 (sqrt (/ 1 im)))
4.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in re
4.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.957 * [taylor]: Taking taylor expansion of 2.0 in re
4.957 * [backup-simplify]: Simplify 2.0 into 2.0
4.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.958 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in re
4.958 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re
4.958 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re
4.958 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re
4.958 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re
4.958 * [taylor]: Taking taylor expansion of 1/2 in re
4.958 * [backup-simplify]: Simplify 1/2 into 1/2
4.958 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re
4.958 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.958 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.958 * [taylor]: Taking taylor expansion of re in re
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.958 * [taylor]: Taking taylor expansion of im in re
4.958 * [backup-simplify]: Simplify im into im
4.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.958 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.959 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
4.959 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2)))
4.959 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2)
4.959 * [taylor]: Taking taylor expansion of re in re
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 1 into 1
4.959 * [backup-simplify]: Simplify (- 0) into 0
4.959 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2)
4.959 * [backup-simplify]: Simplify (sqrt (pow (pow im 2) 1/2)) into (sqrt im)
4.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.960 * [backup-simplify]: Simplify (+ 0 0) into 0
4.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
4.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0
4.962 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.962 * [backup-simplify]: Simplify (- 1) into -1
4.963 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow (pow im 2) 1/2)))) into (* -1/2 (sqrt (/ 1 im)))
4.964 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
4.964 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
4.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.964 * [taylor]: Taking taylor expansion of 2.0 in im
4.964 * [backup-simplify]: Simplify 2.0 into 2.0
4.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.965 * [taylor]: Taking taylor expansion of (sqrt im) in im
4.965 * [taylor]: Taking taylor expansion of im in im
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 1 into 1
4.965 * [backup-simplify]: Simplify (sqrt 0) into 0
4.967 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.967 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.967 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
4.968 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
4.968 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
4.968 * [taylor]: Taking taylor expansion of 1/2 in im
4.968 * [backup-simplify]: Simplify 1/2 into 1/2
4.968 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
4.968 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.968 * [taylor]: Taking taylor expansion of 2.0 in im
4.968 * [backup-simplify]: Simplify 2.0 into 2.0
4.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
4.969 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.969 * [taylor]: Taking taylor expansion of im in im
4.969 * [backup-simplify]: Simplify 0 into 0
4.969 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify (/ 1 1) into 1
4.970 * [backup-simplify]: Simplify (sqrt 0) into 0
4.971 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.973 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.974 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.978 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.980 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.982 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.984 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.986 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.986 * [backup-simplify]: Simplify (* 1 1) into 1
4.987 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.987 * [backup-simplify]: Simplify (+ 1 0) into 1
4.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
4.990 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2)))
4.991 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im)
4.991 * [backup-simplify]: Simplify (- 0) into 0
4.991 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
4.992 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* -1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
4.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.994 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
4.994 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
4.994 * [taylor]: Taking taylor expansion of 1/8 in im
4.994 * [backup-simplify]: Simplify 1/8 into 1/8
4.994 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
4.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.994 * [taylor]: Taking taylor expansion of 2.0 in im
4.994 * [backup-simplify]: Simplify 2.0 into 2.0
4.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
4.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
4.995 * [taylor]: Taking taylor expansion of (pow im 3) in im
4.995 * [taylor]: Taking taylor expansion of im in im
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 1 into 1
4.996 * [backup-simplify]: Simplify (* 1 1) into 1
4.996 * [backup-simplify]: Simplify (* 1 1) into 1
4.997 * [backup-simplify]: Simplify (/ 1 1) into 1
4.997 * [backup-simplify]: Simplify (sqrt 0) into 0
4.998 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.003 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.005 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.007 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.010 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.010 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.015 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.017 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.021 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
5.022 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))))
5.022 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in (re im) around 0
5.022 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in im
5.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.022 * [taylor]: Taking taylor expansion of 2.0 in im
5.022 * [backup-simplify]: Simplify 2.0 into 2.0
5.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.023 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in im
5.023 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im
5.023 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
5.024 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.024 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.024 * [taylor]: Taking taylor expansion of 1/2 in im
5.024 * [backup-simplify]: Simplify 1/2 into 1/2
5.024 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.024 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.024 * [taylor]: Taking taylor expansion of im in im
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [backup-simplify]: Simplify (* 1 1) into 1
5.025 * [backup-simplify]: Simplify (/ 1 1) into 1
5.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.025 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.025 * [taylor]: Taking taylor expansion of re in im
5.025 * [backup-simplify]: Simplify re into re
5.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.025 * [backup-simplify]: Simplify (+ 1 0) into 1
5.026 * [backup-simplify]: Simplify (log 1) into 0
5.026 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.026 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
5.026 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
5.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.027 * [taylor]: Taking taylor expansion of re in im
5.027 * [backup-simplify]: Simplify re into re
5.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.027 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.027 * [backup-simplify]: Simplify (+ (pow im -1) (- (/ 1 re))) into (- (pow im -1) (/ 1 re))
5.027 * [backup-simplify]: Simplify (sqrt (- (pow im -1) (/ 1 re))) into (sqrt (- (pow im -1) (/ 1 re)))
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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.031 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log im))))) into 0
5.032 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.032 * [backup-simplify]: Simplify (- 0) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow im -1) (/ 1 re))))) into 0
5.033 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re
5.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.033 * [taylor]: Taking taylor expansion of 2.0 in re
5.033 * [backup-simplify]: Simplify 2.0 into 2.0
5.034 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.034 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re
5.034 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
5.034 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
5.034 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.034 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.034 * [taylor]: Taking taylor expansion of 1/2 in re
5.035 * [backup-simplify]: Simplify 1/2 into 1/2
5.035 * [taylor]: Taking taylor expansion of (log (+ (/ 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
5.035 * [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 (log 1) into 0
5.037 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.037 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
5.037 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.037 * [taylor]: Taking taylor expansion of re in re
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (/ 1 1) into 1
5.038 * [backup-simplify]: Simplify (- 1) into -1
5.038 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.039 * [backup-simplify]: Simplify (sqrt 0) into 0
5.040 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.040 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re
5.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.040 * [taylor]: Taking taylor expansion of 2.0 in re
5.040 * [backup-simplify]: Simplify 2.0 into 2.0
5.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.041 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re
5.041 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
5.041 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
5.041 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.041 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.041 * [taylor]: Taking taylor expansion of 1/2 in re
5.041 * [backup-simplify]: Simplify 1/2 into 1/2
5.041 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.042 * [taylor]: Taking taylor expansion of im in re
5.042 * [backup-simplify]: Simplify im into im
5.042 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.042 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.042 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.042 * [taylor]: Taking taylor expansion of re in re
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (* 1 1) into 1
5.043 * [backup-simplify]: Simplify (/ 1 1) into 1
5.043 * [backup-simplify]: Simplify (+ 0 1) into 1
5.044 * [backup-simplify]: Simplify (log 1) into 0
5.044 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.044 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
5.044 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.044 * [taylor]: Taking taylor expansion of re in re
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify 1 into 1
5.045 * [backup-simplify]: Simplify (/ 1 1) into 1
5.045 * [backup-simplify]: Simplify (- 1) into -1
5.045 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.046 * [backup-simplify]: Simplify (sqrt 0) into 0
5.047 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.048 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.048 * [taylor]: Taking taylor expansion of 0 in im
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.050 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.050 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.050 * [taylor]: Taking taylor expansion of +nan.0 in im
5.050 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.050 * [taylor]: Taking taylor expansion of 2.0 in im
5.050 * [backup-simplify]: Simplify 2.0 into 2.0
5.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.052 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.054 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.055 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.055 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.056 * [backup-simplify]: Simplify (- 0) into 0
5.057 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
5.058 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0))
5.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.060 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.060 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.060 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.060 * [taylor]: Taking taylor expansion of +nan.0 in im
5.060 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.061 * [taylor]: Taking taylor expansion of 2.0 in im
5.061 * [backup-simplify]: Simplify 2.0 into 2.0
5.061 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.062 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.062 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.062 * [taylor]: Taking taylor expansion of +nan.0 in im
5.062 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.062 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.062 * [taylor]: Taking taylor expansion of 2.0 in im
5.062 * [backup-simplify]: Simplify 2.0 into 2.0
5.062 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.063 * [taylor]: Taking taylor expansion of re in im
5.063 * [backup-simplify]: Simplify re into re
5.064 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.065 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.065 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.066 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.067 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.069 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.070 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.071 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.071 * [backup-simplify]: Simplify (- 0) into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ 0 0) into 0
5.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.075 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
5.076 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (- 0) into 0
5.078 * [backup-simplify]: Simplify (+ 0 0) into 0
5.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
5.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.082 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.082 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.082 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.082 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.082 * [taylor]: Taking taylor expansion of +nan.0 in im
5.082 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.082 * [taylor]: Taking taylor expansion of 2.0 in im
5.082 * [backup-simplify]: Simplify 2.0 into 2.0
5.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.083 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.083 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.083 * [taylor]: Taking taylor expansion of +nan.0 in im
5.083 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.083 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.083 * [taylor]: Taking taylor expansion of 2.0 in im
5.083 * [backup-simplify]: Simplify 2.0 into 2.0
5.084 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.085 * [taylor]: Taking taylor expansion of re in im
5.085 * [backup-simplify]: Simplify re into re
5.085 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.086 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.086 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.087 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.088 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.090 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.091 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.103 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (* 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)))))))
5.104 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))))
5.104 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in (re im) around 0
5.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in im
5.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.104 * [taylor]: Taking taylor expansion of 2.0 in im
5.104 * [backup-simplify]: Simplify 2.0 into 2.0
5.104 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in im
5.105 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im
5.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im
5.105 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.105 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.105 * [taylor]: Taking taylor expansion of 1/2 in im
5.106 * [backup-simplify]: Simplify 1/2 into 1/2
5.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.106 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.106 * [taylor]: Taking taylor expansion of im in im
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify 1 into 1
5.106 * [backup-simplify]: Simplify (* 1 1) into 1
5.106 * [backup-simplify]: Simplify (/ 1 1) into 1
5.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.107 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.107 * [taylor]: Taking taylor expansion of re in im
5.107 * [backup-simplify]: Simplify re into re
5.107 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.107 * [backup-simplify]: Simplify (+ 1 0) into 1
5.108 * [backup-simplify]: Simplify (log 1) into 0
5.108 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.108 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im))
5.108 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1)
5.108 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.108 * [taylor]: Taking taylor expansion of re in im
5.108 * [backup-simplify]: Simplify re into re
5.109 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.109 * [backup-simplify]: Simplify (+ (pow im -1) (/ 1 re)) into (+ (pow im -1) (/ 1 re))
5.109 * [backup-simplify]: Simplify (sqrt (+ (pow im -1) (/ 1 re))) into (sqrt (+ (pow im -1) (/ 1 re)))
5.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.111 * [backup-simplify]: Simplify (+ 0 0) into 0
5.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.113 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log im))))) into 0
5.114 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.115 * [backup-simplify]: Simplify (+ 0 0) into 0
5.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im -1) (/ 1 re))))) into 0
5.115 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re
5.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.115 * [taylor]: Taking taylor expansion of 2.0 in re
5.115 * [backup-simplify]: Simplify 2.0 into 2.0
5.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re
5.116 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
5.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
5.116 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.116 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.116 * [taylor]: Taking taylor expansion of 1/2 in re
5.116 * [backup-simplify]: Simplify 1/2 into 1/2
5.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.117 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.117 * [taylor]: Taking taylor expansion of im in re
5.117 * [backup-simplify]: Simplify im into im
5.117 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.117 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.117 * [taylor]: Taking taylor expansion of re in re
5.117 * [backup-simplify]: Simplify 0 into 0
5.117 * [backup-simplify]: Simplify 1 into 1
5.117 * [backup-simplify]: Simplify (* 1 1) into 1
5.118 * [backup-simplify]: Simplify (/ 1 1) into 1
5.118 * [backup-simplify]: Simplify (+ 0 1) into 1
5.119 * [backup-simplify]: Simplify (log 1) into 0
5.119 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.119 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
5.119 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.119 * [taylor]: Taking taylor expansion of re in re
5.119 * [backup-simplify]: Simplify 0 into 0
5.119 * [backup-simplify]: Simplify 1 into 1
5.120 * [backup-simplify]: Simplify (/ 1 1) into 1
5.120 * [backup-simplify]: Simplify (+ 0 1) into 1
5.121 * [backup-simplify]: Simplify (sqrt 0) into 0
5.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.122 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re
5.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.122 * [taylor]: Taking taylor expansion of 2.0 in re
5.122 * [backup-simplify]: Simplify 2.0 into 2.0
5.123 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re
5.123 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re
5.123 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re
5.123 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.123 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.123 * [taylor]: Taking taylor expansion of 1/2 in re
5.124 * [backup-simplify]: Simplify 1/2 into 1/2
5.124 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.124 * [taylor]: Taking taylor expansion of im in re
5.124 * [backup-simplify]: Simplify im into im
5.124 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.124 * [taylor]: Taking taylor expansion of re in re
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [backup-simplify]: Simplify 1 into 1
5.124 * [backup-simplify]: Simplify (* 1 1) into 1
5.125 * [backup-simplify]: Simplify (/ 1 1) into 1
5.125 * [backup-simplify]: Simplify (+ 0 1) into 1
5.126 * [backup-simplify]: Simplify (log 1) into 0
5.126 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.126 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re))
5.126 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1)
5.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.126 * [taylor]: Taking taylor expansion of re in re
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.127 * [backup-simplify]: Simplify (/ 1 1) into 1
5.127 * [backup-simplify]: Simplify (+ 0 1) into 1
5.128 * [backup-simplify]: Simplify (sqrt 0) into 0
5.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.129 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.129 * [taylor]: Taking taylor expansion of 0 in im
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.132 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.132 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.132 * [taylor]: Taking taylor expansion of +nan.0 in im
5.132 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.132 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.132 * [taylor]: Taking taylor expansion of 2.0 in im
5.132 * [backup-simplify]: Simplify 2.0 into 2.0
5.132 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.134 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.136 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.137 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.137 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.138 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1)
5.139 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0))
5.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.142 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.142 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.142 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.142 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.142 * [taylor]: Taking taylor expansion of +nan.0 in im
5.142 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.142 * [taylor]: Taking taylor expansion of 2.0 in im
5.142 * [backup-simplify]: Simplify 2.0 into 2.0
5.143 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.143 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.143 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.143 * [taylor]: Taking taylor expansion of +nan.0 in im
5.143 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.143 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.144 * [taylor]: Taking taylor expansion of 2.0 in im
5.144 * [backup-simplify]: Simplify 2.0 into 2.0
5.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.145 * [taylor]: Taking taylor expansion of re in im
5.145 * [backup-simplify]: Simplify re into re
5.145 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.146 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.147 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.147 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.149 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.150 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.152 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.153 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.153 * [backup-simplify]: Simplify (- 0) into 0
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.155 * [backup-simplify]: Simplify (+ 0 0) into 0
5.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.157 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0
5.159 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.160 * [backup-simplify]: Simplify (+ 0 0) into 0
5.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
5.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.164 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.164 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im
5.164 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im
5.164 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.164 * [taylor]: Taking taylor expansion of +nan.0 in im
5.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.164 * [taylor]: Taking taylor expansion of 2.0 in im
5.164 * [backup-simplify]: Simplify 2.0 into 2.0
5.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.166 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im
5.166 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im
5.166 * [taylor]: Taking taylor expansion of +nan.0 in im
5.166 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.166 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im
5.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.166 * [taylor]: Taking taylor expansion of 2.0 in im
5.166 * [backup-simplify]: Simplify 2.0 into 2.0
5.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.167 * [taylor]: Taking taylor expansion of re in im
5.167 * [backup-simplify]: Simplify re into re
5.168 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re)
5.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.169 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re))
5.169 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re)))
5.171 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.173 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.174 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
5.179 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (* 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)))))))
5.180 * * * [progress]: simplifying candidates
5.182 * [simplify]: Simplifying:
  (* (log (+ (* re re) (* im im))) 1/2)
  (* (log (+ (* re re) (* im im))) 1/2)
  (* 1 1/2)
  (pow (+ (* re re) (* im im)) (* (cbrt 1/2) (cbrt 1/2)))
  (pow (+ (* re re) (* im im)) (sqrt 1/2))
  (pow (+ (* re re) (* im im)) 1)
  (pow (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) 1/2)
  (pow (cbrt (+ (* re re) (* im im))) 1/2)
  (pow (sqrt (+ (* re re) (* im im))) 1/2)
  (pow (sqrt (+ (* re re) (* im im))) 1/2)
  (pow 1 1/2)
  (pow (+ (* re re) (* im im)) 1/2)
  (log (pow (+ (* re re) (* im im)) 1/2))
  (exp (pow (+ (* re re) (* im im)) 1/2))
  (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (pow (+ (* re re) (* im im)) 1/2)))
  (cbrt (pow (+ (* re re) (* im im)) 1/2))
  (* (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (pow (+ (* re re) (* im im)) 1/2))
  (sqrt (pow (+ (* re re) (* im im)) 1/2))
  (sqrt (pow (+ (* re re) (* im im)) 1/2))
  (pow (+ (* re re) (* im im)) (/ 1/2 2))
  (pow (+ (* re re) (* im im)) (/ 1/2 2))
  (/ (exp (pow (+ (* re re) (* im im)) 1/2)) (exp re))
  (log (- (pow (+ (* re re) (* im im)) 1/2) re))
  (exp (- (pow (+ (* re re) (* im im)) 1/2) re))
  (* (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re)))
  (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re))
  (* (* (- (pow (+ (* re re) (* im im)) 1/2) re) (- (pow (+ (* re re) (* im im)) 1/2) re)) (- (pow (+ (* re re) (* im im)) 1/2) re))
  (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re))
  (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re))
  (- (pow (pow (+ (* re re) (* im im)) 1/2) 3) (pow re 3))
  (+ (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (+ (* re re) (* (pow (+ (* re re) (* im im)) 1/2) re)))
  (- re)
  (- (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (* re re))
  (+ (pow (+ (* re re) (* im im)) 1/2) re)
  (+ (pow (sqrt (+ (* re re) (* im im))) 1/2) (sqrt re))
  (- (pow (sqrt (+ (* re re) (* im im))) 1/2) (sqrt re))
  (+ (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt re))
  (- (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt re))
  (+ (pow (+ (* re re) (* im im)) (/ 1/2 2)) (sqrt re))
  (- (pow (+ (* re re) (* im im)) (/ 1/2 2)) (sqrt re))
  (- (pow (+ (* re re) (* im im)) 1/2) 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 (- (pow (+ (* re re) (* im im)) 1/2) re))))
  (exp (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))
  (* (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))
  (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))
  (* (* (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))) (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))
  (sqrt 2.0)
  (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re))
  (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) 1/2) 3) (pow re 3))))
  (sqrt (+ (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (+ (* re re) (* (pow (+ (* re re) (* im im)) 1/2) re))))
  (sqrt (* 2.0 (- (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (* re re))))
  (sqrt (+ (pow (+ (* re re) (* im im)) 1/2) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))
  (sqrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) 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 re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
5.182 * [simplify]: Sending expressions to egg_math:
 (* (log (+ (* h1 h1) (* h0 h0))) (/ 1 2))
 (* (log (+ (* h1 h1) (* h0 h0))) (/ 1 2))
 (* 1 (/ 1 2))
 (pow (+ (* h1 h1) (* h0 h0)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2))))
 (pow (+ (* h1 h1) (* h0 h0)) (sqrt (/ 1 2)))
 (pow (+ (* h1 h1) (* h0 h0)) 1)
 (pow (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ 1 2))
 (pow (cbrt (+ (* h1 h1) (* h0 h0))) (/ 1 2))
 (pow (sqrt (+ (* h1 h1) (* h0 h0))) (/ 1 2))
 (pow (sqrt (+ (* h1 h1) (* h0 h0))) (/ 1 2))
 (pow 1 (/ 1 2))
 (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))
 (log (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (exp (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (* (cbrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (cbrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))))
 (cbrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (* (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (sqrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (sqrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)))
 (pow (+ (* h1 h1) (* h0 h0)) (/ (/ 1 2) 2))
 (pow (+ (* h1 h1) (* h0 h0)) (/ (/ 1 2) 2))
 (/ (exp (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (exp h1))
 (log (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (exp (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (* (cbrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)) (cbrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))
 (cbrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (* (* (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1) (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)) (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (sqrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (sqrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (- (pow (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) 3) (pow h1 3))
 (+ (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (+ (* h1 h1) (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))
 (- h1)
 (- (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (* h1 h1))
 (+ (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)
 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) (/ 1 2)) (sqrt h1))
 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) (/ 1 2)) (sqrt h1))
 (+ (sqrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (sqrt h1))
 (- (sqrt (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (sqrt h1))
 (+ (pow (+ (* h1 h1) (* h0 h0)) (/ (/ 1 2) 2)) (sqrt h1))
 (- (pow (+ (* h1 h1) (* h0 h0)) (/ (/ 1 2) 2)) (sqrt h1))
 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)
 (- h1)
 (* (exp (* h1 h1)) (exp (* h0 h0)))
 (log (+ (* h1 h1) (* h0 h0)))
 (exp (+ (* h1 h1) (* h0 h0)))
 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))
 (cbrt (+ (* h1 h1) (* h0 h0)))
 (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))
 (- (* h1 h1) (* h0 h0))
 (log (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (exp (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (* (cbrt (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))) (cbrt (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))))
 (cbrt (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (* (* (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))) (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))) (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (sqrt 2.0)
 (sqrt (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (sqrt (* 2.0 (- (pow (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) 3) (pow h1 3))))
 (sqrt (+ (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (+ (* h1 h1) (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (sqrt (* 2.0 (- (* (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2))) (* h1 h1))))
 (sqrt (+ (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))
 (/ 1 2)
 (/ 1 2)
 (sqrt (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 (sqrt (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1))))
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (- (* 2 h1))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (+ (pow h1 2) (pow h0 2))
 (- (+ (* h2 (* (sqrt 2.0) (pow h1 2))) (- (+ (* h2 (* (sqrt 2.0) h0)) (- (* h2 (* (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
 (- (+ (* h2 (sqrt 2.0)) (- (+ (* h2 (/ (sqrt 2.0) (pow h1 2))) (- (* h2 (/ (sqrt 2.0) h1)))))))
7.499 * * * [progress]: adding candidates to table
7.788 * * [progress]: iteration 4 / 4
7.788 * * * [progress]: picking best candidate
7.813 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.813 * * * [progress]: localizing error
7.843 * * * [progress]: generating rewritten candidates
7.843 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1)
7.851 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
7.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
7.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
8.009 * * * [progress]: generating series expansions
8.009 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 2 1)
8.009 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.009 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.009 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.009 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.009 * [taylor]: Taking taylor expansion of re in im
8.009 * [backup-simplify]: Simplify re into re
8.009 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.009 * [taylor]: Taking taylor expansion of im in im
8.009 * [backup-simplify]: Simplify 0 into 0
8.010 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.010 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.010 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.010 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.010 * [backup-simplify]: Simplify (+ 0 0) into 0
8.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.011 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.011 * [taylor]: Taking taylor expansion of re in re
8.011 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 1 into 1
8.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.011 * [taylor]: Taking taylor expansion of im in re
8.011 * [backup-simplify]: Simplify im into im
8.011 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.011 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.011 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.011 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.011 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.011 * [taylor]: Taking taylor expansion of re in re
8.011 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 1 into 1
8.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.012 * [taylor]: Taking taylor expansion of im in re
8.012 * [backup-simplify]: Simplify im into im
8.012 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.012 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.012 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.012 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.012 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.012 * [taylor]: Taking taylor expansion of im in im
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [taylor]: Taking taylor expansion of 0 in im
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.013 * [backup-simplify]: Simplify (* 1 1) into 1
8.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.013 * [backup-simplify]: Simplify (+ 1 0) into 1
8.014 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.014 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.014 * [taylor]: Taking taylor expansion of 1/2 in im
8.014 * [backup-simplify]: Simplify 1/2 into 1/2
8.014 * [taylor]: Taking taylor expansion of im in im
8.014 * [backup-simplify]: Simplify 0 into 0
8.014 * [backup-simplify]: Simplify 1 into 1
8.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.016 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.016 * [backup-simplify]: Simplify (+ 0 0) into 0
8.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.016 * [taylor]: Taking taylor expansion of 0 in im
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify 0 into 0
8.017 * [backup-simplify]: Simplify 0 into 0
8.017 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.017 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.017 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.017 * [taylor]: Taking taylor expansion of im in im
8.017 * [backup-simplify]: Simplify 0 into 0
8.017 * [backup-simplify]: Simplify 1 into 1
8.017 * [backup-simplify]: Simplify (* 1 1) into 1
8.018 * [backup-simplify]: Simplify (/ 1 1) into 1
8.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.018 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.018 * [taylor]: Taking taylor expansion of re in im
8.018 * [backup-simplify]: Simplify re into re
8.018 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.018 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.018 * [backup-simplify]: Simplify (+ 1 0) into 1
8.018 * [backup-simplify]: Simplify (sqrt 1) into 1
8.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.020 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.020 * [taylor]: Taking taylor expansion of im in re
8.020 * [backup-simplify]: Simplify im into im
8.020 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.020 * [taylor]: Taking taylor expansion of re in re
8.020 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify 1 into 1
8.020 * [backup-simplify]: Simplify (* 1 1) into 1
8.021 * [backup-simplify]: Simplify (/ 1 1) into 1
8.021 * [backup-simplify]: Simplify (+ 0 1) into 1
8.021 * [backup-simplify]: Simplify (sqrt 1) into 1
8.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.023 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.023 * [taylor]: Taking taylor expansion of im in re
8.023 * [backup-simplify]: Simplify im into im
8.023 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.023 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.023 * [taylor]: Taking taylor expansion of re in re
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify 1 into 1
8.023 * [backup-simplify]: Simplify (* 1 1) into 1
8.024 * [backup-simplify]: Simplify (/ 1 1) into 1
8.024 * [backup-simplify]: Simplify (+ 0 1) into 1
8.024 * [backup-simplify]: Simplify (sqrt 1) into 1
8.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.027 * [taylor]: Taking taylor expansion of 1 in im
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [taylor]: Taking taylor expansion of 0 in im
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.031 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.031 * [taylor]: Taking taylor expansion of 1/2 in im
8.031 * [backup-simplify]: Simplify 1/2 into 1/2
8.031 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.031 * [taylor]: Taking taylor expansion of im in im
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (* 1 1) into 1
8.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (+ 0 0) into 0
8.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.037 * [taylor]: Taking taylor expansion of 0 in im
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.038 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.039 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.039 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.039 * [taylor]: Taking taylor expansion of im in im
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify (* 1 1) into 1
8.040 * [backup-simplify]: Simplify (/ 1 1) into 1
8.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.040 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.040 * [taylor]: Taking taylor expansion of re in im
8.040 * [backup-simplify]: Simplify re into re
8.040 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.040 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.041 * [backup-simplify]: Simplify (+ 1 0) into 1
8.041 * [backup-simplify]: Simplify (sqrt 1) into 1
8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.044 * [taylor]: Taking taylor expansion of im in re
8.044 * [backup-simplify]: Simplify im into im
8.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.044 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.044 * [taylor]: Taking taylor expansion of re in re
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (* 1 1) into 1
8.045 * [backup-simplify]: Simplify (/ 1 1) into 1
8.046 * [backup-simplify]: Simplify (+ 0 1) into 1
8.046 * [backup-simplify]: Simplify (sqrt 1) into 1
8.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (+ 0 0) into 0
8.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.049 * [taylor]: Taking taylor expansion of im in re
8.049 * [backup-simplify]: Simplify im into im
8.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.049 * [taylor]: Taking taylor expansion of re in re
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [backup-simplify]: Simplify 1 into 1
8.049 * [backup-simplify]: Simplify (* 1 1) into 1
8.050 * [backup-simplify]: Simplify (/ 1 1) into 1
8.050 * [backup-simplify]: Simplify (+ 0 1) into 1
8.051 * [backup-simplify]: Simplify (sqrt 1) into 1
8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.053 * [taylor]: Taking taylor expansion of 1 in im
8.054 * [backup-simplify]: Simplify 1 into 1
8.054 * [taylor]: Taking taylor expansion of 0 in im
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 1 into 1
8.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.056 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.058 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.058 * [taylor]: Taking taylor expansion of 1/2 in im
8.058 * [backup-simplify]: Simplify 1/2 into 1/2
8.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.058 * [taylor]: Taking taylor expansion of im in im
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.059 * [backup-simplify]: Simplify (* 1 1) into 1
8.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.060 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.064 * [taylor]: Taking taylor expansion of 0 in im
8.064 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
8.067 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.067 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.067 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.067 * [taylor]: Taking taylor expansion of re in im
8.067 * [backup-simplify]: Simplify re into re
8.067 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.067 * [taylor]: Taking taylor expansion of im in im
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 1 into 1
8.067 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.067 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.067 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.067 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.068 * [backup-simplify]: Simplify (+ 0 0) into 0
8.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.068 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.068 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.068 * [taylor]: Taking taylor expansion of re in re
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.068 * [taylor]: Taking taylor expansion of im in re
8.068 * [backup-simplify]: Simplify im into im
8.068 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.068 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.069 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.069 * [backup-simplify]: Simplify (+ 0 0) into 0
8.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.069 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.069 * [taylor]: Taking taylor expansion of re in re
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.069 * [taylor]: Taking taylor expansion of im in re
8.069 * [backup-simplify]: Simplify im into im
8.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.070 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.070 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.070 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.071 * [taylor]: Taking taylor expansion of im in im
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [taylor]: Taking taylor expansion of 0 in im
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (* 1 1) into 1
8.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.072 * [backup-simplify]: Simplify (+ 1 0) into 1
8.073 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.073 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.073 * [taylor]: Taking taylor expansion of 1/2 in im
8.073 * [backup-simplify]: Simplify 1/2 into 1/2
8.073 * [taylor]: Taking taylor expansion of im in im
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.074 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.076 * [backup-simplify]: Simplify (+ 0 0) into 0
8.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.076 * [taylor]: Taking taylor expansion of 0 in im
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.078 * [taylor]: Taking taylor expansion of im in im
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 1 into 1
8.079 * [backup-simplify]: Simplify (* 1 1) into 1
8.079 * [backup-simplify]: Simplify (/ 1 1) into 1
8.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.079 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.079 * [taylor]: Taking taylor expansion of re in im
8.079 * [backup-simplify]: Simplify re into re
8.079 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.080 * [backup-simplify]: Simplify (+ 1 0) into 1
8.080 * [backup-simplify]: Simplify (sqrt 1) into 1
8.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.083 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.083 * [taylor]: Taking taylor expansion of im in re
8.083 * [backup-simplify]: Simplify im into im
8.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.083 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.083 * [taylor]: Taking taylor expansion of re in re
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.084 * [backup-simplify]: Simplify (* 1 1) into 1
8.084 * [backup-simplify]: Simplify (/ 1 1) into 1
8.084 * [backup-simplify]: Simplify (+ 0 1) into 1
8.084 * [backup-simplify]: Simplify (sqrt 1) into 1
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.085 * [backup-simplify]: Simplify (+ 0 0) into 0
8.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.086 * [taylor]: Taking taylor expansion of im in re
8.086 * [backup-simplify]: Simplify im into im
8.086 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.086 * [taylor]: Taking taylor expansion of re in re
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [backup-simplify]: Simplify (* 1 1) into 1
8.087 * [backup-simplify]: Simplify (/ 1 1) into 1
8.087 * [backup-simplify]: Simplify (+ 0 1) into 1
8.087 * [backup-simplify]: Simplify (sqrt 1) into 1
8.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.089 * [taylor]: Taking taylor expansion of 1 in im
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [taylor]: Taking taylor expansion of 0 in im
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.091 * [taylor]: Taking taylor expansion of 1/2 in im
8.091 * [backup-simplify]: Simplify 1/2 into 1/2
8.091 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.091 * [taylor]: Taking taylor expansion of im in im
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [backup-simplify]: Simplify (* 1 1) into 1
8.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (+ 0 0) into 0
8.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.094 * [taylor]: Taking taylor expansion of 0 in im
8.094 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.096 * [taylor]: Taking taylor expansion of im in im
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 1 into 1
8.096 * [backup-simplify]: Simplify (* 1 1) into 1
8.097 * [backup-simplify]: Simplify (/ 1 1) into 1
8.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.097 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.097 * [taylor]: Taking taylor expansion of re in im
8.097 * [backup-simplify]: Simplify re into re
8.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.097 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.097 * [backup-simplify]: Simplify (+ 1 0) into 1
8.097 * [backup-simplify]: Simplify (sqrt 1) into 1
8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.099 * [taylor]: Taking taylor expansion of im in re
8.099 * [backup-simplify]: Simplify im into im
8.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.099 * [taylor]: Taking taylor expansion of re in re
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 1 into 1
8.099 * [backup-simplify]: Simplify (* 1 1) into 1
8.100 * [backup-simplify]: Simplify (/ 1 1) into 1
8.100 * [backup-simplify]: Simplify (+ 0 1) into 1
8.100 * [backup-simplify]: Simplify (sqrt 1) into 1
8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.102 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.102 * [taylor]: Taking taylor expansion of im in re
8.102 * [backup-simplify]: Simplify im into im
8.102 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.102 * [taylor]: Taking taylor expansion of re in re
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 1 into 1
8.102 * [backup-simplify]: Simplify (* 1 1) into 1
8.103 * [backup-simplify]: Simplify (/ 1 1) into 1
8.103 * [backup-simplify]: Simplify (+ 0 1) into 1
8.103 * [backup-simplify]: Simplify (sqrt 1) into 1
8.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.104 * [backup-simplify]: Simplify (+ 0 0) into 0
8.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.105 * [taylor]: Taking taylor expansion of 1 in im
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [taylor]: Taking taylor expansion of 0 in im
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.106 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.112 * [taylor]: Taking taylor expansion of 1/2 in im
8.112 * [backup-simplify]: Simplify 1/2 into 1/2
8.112 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.112 * [taylor]: Taking taylor expansion of im in im
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.112 * [backup-simplify]: Simplify (* 1 1) into 1
8.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.115 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.116 * [taylor]: Taking taylor expansion of 0 in im
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.117 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
8.118 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
8.118 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
8.118 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.118 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.118 * [taylor]: Taking taylor expansion of re in im
8.118 * [backup-simplify]: Simplify re into re
8.118 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.118 * [taylor]: Taking taylor expansion of im in im
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify 1 into 1
8.118 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.118 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.118 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.118 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.118 * [backup-simplify]: Simplify (+ 0 0) into 0
8.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.118 * [taylor]: Taking taylor expansion of re in im
8.119 * [backup-simplify]: Simplify re into re
8.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.119 * [taylor]: Taking taylor expansion of re in re
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.119 * [taylor]: Taking taylor expansion of im in re
8.119 * [backup-simplify]: Simplify im into im
8.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.119 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.119 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.119 * [backup-simplify]: Simplify (+ 0 0) into 0
8.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.120 * [taylor]: Taking taylor expansion of re in re
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.120 * [taylor]: Taking taylor expansion of re in re
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.120 * [taylor]: Taking taylor expansion of im in re
8.120 * [backup-simplify]: Simplify im into im
8.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.121 * [backup-simplify]: Simplify (+ 0 0) into 0
8.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.121 * [taylor]: Taking taylor expansion of re in re
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.121 * [backup-simplify]: Simplify (- 0) into 0
8.122 * [backup-simplify]: Simplify (+ im 0) into im
8.122 * [taylor]: Taking taylor expansion of im in im
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 1 into 1
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (- 1) into -1
8.122 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.123 * [taylor]: Taking taylor expansion of -1 in im
8.123 * [backup-simplify]: Simplify -1 into -1
8.123 * [backup-simplify]: Simplify -1 into -1
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.124 * [backup-simplify]: Simplify (+ 1 0) into 1
8.125 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.125 * [backup-simplify]: Simplify (- 0) into 0
8.125 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.125 * [taylor]: Taking taylor expansion of 1/2 in im
8.125 * [backup-simplify]: Simplify 1/2 into 1/2
8.125 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.125 * [taylor]: Taking taylor expansion of im in im
8.125 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (/ 1 1) into 1
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.129 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.129 * [backup-simplify]: Simplify (+ 0 0) into 0
8.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.130 * [backup-simplify]: Simplify (- 0) into 0
8.130 * [backup-simplify]: Simplify (+ 0 0) into 0
8.130 * [taylor]: Taking taylor expansion of 0 in im
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.133 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
8.133 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.134 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.134 * [taylor]: Taking taylor expansion of im in im
8.134 * [backup-simplify]: Simplify 0 into 0
8.134 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (* 1 1) into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.134 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.135 * [taylor]: Taking taylor expansion of re in im
8.135 * [backup-simplify]: Simplify re into re
8.135 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.135 * [backup-simplify]: Simplify (+ 1 0) into 1
8.136 * [backup-simplify]: Simplify (sqrt 1) into 1
8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.138 * [taylor]: Taking taylor expansion of re in im
8.138 * [backup-simplify]: Simplify re into re
8.138 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.138 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.138 * [taylor]: Taking taylor expansion of im in re
8.138 * [backup-simplify]: Simplify im into im
8.138 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.139 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.139 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.139 * [taylor]: Taking taylor expansion of re in re
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [backup-simplify]: Simplify (* 1 1) into 1
8.140 * [backup-simplify]: Simplify (/ 1 1) into 1
8.140 * [backup-simplify]: Simplify (+ 0 1) into 1
8.140 * [backup-simplify]: Simplify (sqrt 1) into 1
8.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.144 * [backup-simplify]: Simplify (+ 0 0) into 0
8.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.144 * [taylor]: Taking taylor expansion of re in re
8.144 * [backup-simplify]: Simplify 0 into 0
8.144 * [backup-simplify]: Simplify 1 into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.145 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.145 * [taylor]: Taking taylor expansion of im in re
8.145 * [backup-simplify]: Simplify im into im
8.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.145 * [taylor]: Taking taylor expansion of re in re
8.145 * [backup-simplify]: Simplify 0 into 0
8.145 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (* 1 1) into 1
8.146 * [backup-simplify]: Simplify (/ 1 1) into 1
8.146 * [backup-simplify]: Simplify (+ 0 1) into 1
8.147 * [backup-simplify]: Simplify (sqrt 1) into 1
8.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.149 * [taylor]: Taking taylor expansion of re in re
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify 1 into 1
8.150 * [backup-simplify]: Simplify (/ 1 1) into 1
8.150 * [backup-simplify]: Simplify (- 1) into -1
8.151 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.151 * [taylor]: Taking taylor expansion of 0 in im
8.151 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.152 * [backup-simplify]: Simplify (- 0) into 0
8.153 * [backup-simplify]: Simplify (+ 0 0) into 0
8.153 * [taylor]: Taking taylor expansion of 0 in im
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (- 0) into 0
8.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.158 * [taylor]: Taking taylor expansion of 1/2 in im
8.158 * [backup-simplify]: Simplify 1/2 into 1/2
8.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.158 * [taylor]: Taking taylor expansion of im in im
8.158 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify 1 into 1
8.158 * [backup-simplify]: Simplify (* 1 1) into 1
8.159 * [backup-simplify]: Simplify (/ 1 1) into 1
8.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.164 * [backup-simplify]: Simplify (+ 0 0) into 0
8.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.166 * [backup-simplify]: Simplify (- 0) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.166 * [taylor]: Taking taylor expansion of 0 in im
8.166 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
8.170 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.170 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.170 * [taylor]: Taking taylor expansion of re in im
8.170 * [backup-simplify]: Simplify re into re
8.170 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.170 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.170 * [taylor]: Taking taylor expansion of im in im
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify 1 into 1
8.171 * [backup-simplify]: Simplify (* 1 1) into 1
8.171 * [backup-simplify]: Simplify (/ 1 1) into 1
8.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.171 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.171 * [taylor]: Taking taylor expansion of re in im
8.171 * [backup-simplify]: Simplify re into re
8.171 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.171 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.172 * [backup-simplify]: Simplify (+ 1 0) into 1
8.172 * [backup-simplify]: Simplify (sqrt 1) into 1
8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.174 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.174 * [taylor]: Taking taylor expansion of re in re
8.175 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify 1 into 1
8.175 * [backup-simplify]: Simplify (/ 1 1) into 1
8.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.175 * [taylor]: Taking taylor expansion of im in re
8.175 * [backup-simplify]: Simplify im into im
8.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.175 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.175 * [taylor]: Taking taylor expansion of re in re
8.175 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify 1 into 1
8.176 * [backup-simplify]: Simplify (* 1 1) into 1
8.176 * [backup-simplify]: Simplify (/ 1 1) into 1
8.177 * [backup-simplify]: Simplify (+ 0 1) into 1
8.177 * [backup-simplify]: Simplify (sqrt 1) into 1
8.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (+ 0 0) into 0
8.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.180 * [taylor]: Taking taylor expansion of re in re
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify 1 into 1
8.180 * [backup-simplify]: Simplify (/ 1 1) into 1
8.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.180 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.180 * [taylor]: Taking taylor expansion of im in re
8.180 * [backup-simplify]: Simplify im into im
8.180 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.180 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.180 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.180 * [taylor]: Taking taylor expansion of re in re
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify 1 into 1
8.180 * [backup-simplify]: Simplify (* 1 1) into 1
8.181 * [backup-simplify]: Simplify (/ 1 1) into 1
8.181 * [backup-simplify]: Simplify (+ 0 1) into 1
8.181 * [backup-simplify]: Simplify (sqrt 1) into 1
8.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.182 * [backup-simplify]: Simplify (+ 0 0) into 0
8.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.183 * [backup-simplify]: Simplify (+ 1 1) into 2
8.183 * [taylor]: Taking taylor expansion of 2 in im
8.183 * [backup-simplify]: Simplify 2 into 2
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.184 * [backup-simplify]: Simplify (+ 0 0) into 0
8.184 * [taylor]: Taking taylor expansion of 0 in im
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 2 into 2
8.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.185 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.186 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.186 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.186 * [taylor]: Taking taylor expansion of 1/2 in im
8.186 * [backup-simplify]: Simplify 1/2 into 1/2
8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.186 * [taylor]: Taking taylor expansion of im in im
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 1 into 1
8.187 * [backup-simplify]: Simplify (* 1 1) into 1
8.187 * [backup-simplify]: Simplify (/ 1 1) into 1
8.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (+ 0 0) into 0
8.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.191 * [backup-simplify]: Simplify (+ 0 0) into 0
8.191 * [taylor]: Taking taylor expansion of 0 in im
8.191 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.193 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.193 * [backup-simplify]: Simplify (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
8.193 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
8.193 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.193 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.193 * [taylor]: Taking taylor expansion of re in im
8.193 * [backup-simplify]: Simplify re into re
8.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.194 * [taylor]: Taking taylor expansion of im in im
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.194 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.194 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.194 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.194 * [backup-simplify]: Simplify (+ 0 0) into 0
8.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.194 * [taylor]: Taking taylor expansion of re in im
8.194 * [backup-simplify]: Simplify re into re
8.194 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.194 * [taylor]: Taking taylor expansion of re in re
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.194 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.194 * [taylor]: Taking taylor expansion of im in re
8.194 * [backup-simplify]: Simplify im into im
8.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.195 * [backup-simplify]: Simplify (+ 0 0) into 0
8.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.195 * [taylor]: Taking taylor expansion of re in re
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.195 * [taylor]: Taking taylor expansion of re in re
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.195 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.195 * [taylor]: Taking taylor expansion of im in re
8.195 * [backup-simplify]: Simplify im into im
8.195 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.196 * [backup-simplify]: Simplify (+ 0 0) into 0
8.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.196 * [taylor]: Taking taylor expansion of re in re
8.196 * [backup-simplify]: Simplify 0 into 0
8.196 * [backup-simplify]: Simplify 1 into 1
8.196 * [backup-simplify]: Simplify (- 0) into 0
8.196 * [backup-simplify]: Simplify (+ im 0) into im
8.196 * [taylor]: Taking taylor expansion of im in im
8.196 * [backup-simplify]: Simplify 0 into 0
8.196 * [backup-simplify]: Simplify 1 into 1
8.196 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify (- 1) into -1
8.197 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.197 * [taylor]: Taking taylor expansion of -1 in im
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (* 1 1) into 1
8.197 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.198 * [backup-simplify]: Simplify (+ 1 0) into 1
8.198 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.198 * [backup-simplify]: Simplify (- 0) into 0
8.198 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.198 * [taylor]: Taking taylor expansion of 1/2 in im
8.199 * [backup-simplify]: Simplify 1/2 into 1/2
8.199 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.199 * [taylor]: Taking taylor expansion of im in im
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 1 into 1
8.199 * [backup-simplify]: Simplify (/ 1 1) into 1
8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.201 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.201 * [backup-simplify]: Simplify (+ 0 0) into 0
8.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.201 * [backup-simplify]: Simplify (- 0) into 0
8.201 * [backup-simplify]: Simplify (+ 0 0) into 0
8.201 * [taylor]: Taking taylor expansion of 0 in im
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.203 * [backup-simplify]: Simplify (exp (log (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
8.203 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.203 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.203 * [taylor]: Taking taylor expansion of im in im
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.204 * [backup-simplify]: Simplify (* 1 1) into 1
8.204 * [backup-simplify]: Simplify (/ 1 1) into 1
8.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.204 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.204 * [taylor]: Taking taylor expansion of re in im
8.204 * [backup-simplify]: Simplify re into re
8.204 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.204 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.204 * [backup-simplify]: Simplify (+ 1 0) into 1
8.205 * [backup-simplify]: Simplify (sqrt 1) into 1
8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.206 * [taylor]: Taking taylor expansion of re in im
8.206 * [backup-simplify]: Simplify re into re
8.206 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.206 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.206 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.206 * [taylor]: Taking taylor expansion of im in re
8.206 * [backup-simplify]: Simplify im into im
8.206 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.207 * [taylor]: Taking taylor expansion of re in re
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (/ 1 1) into 1
8.207 * [backup-simplify]: Simplify (+ 0 1) into 1
8.208 * [backup-simplify]: Simplify (sqrt 1) into 1
8.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (+ 0 0) into 0
8.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.210 * [taylor]: Taking taylor expansion of re in re
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.211 * [backup-simplify]: Simplify (/ 1 1) into 1
8.211 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.211 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.211 * [taylor]: Taking taylor expansion of im in re
8.211 * [backup-simplify]: Simplify im into im
8.211 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.211 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.211 * [taylor]: Taking taylor expansion of re in re
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify 1 into 1
8.212 * [backup-simplify]: Simplify (* 1 1) into 1
8.212 * [backup-simplify]: Simplify (/ 1 1) into 1
8.213 * [backup-simplify]: Simplify (+ 0 1) into 1
8.213 * [backup-simplify]: Simplify (sqrt 1) into 1
8.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.216 * [taylor]: Taking taylor expansion of re in re
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify 1 into 1
8.216 * [backup-simplify]: Simplify (/ 1 1) into 1
8.217 * [backup-simplify]: Simplify (- 1) into -1
8.217 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.217 * [taylor]: Taking taylor expansion of 0 in im
8.217 * [backup-simplify]: Simplify 0 into 0
8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (- 0) into 0
8.218 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [taylor]: Taking taylor expansion of 0 in im
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.222 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (- 0) into 0
8.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.223 * [taylor]: Taking taylor expansion of 1/2 in im
8.223 * [backup-simplify]: Simplify 1/2 into 1/2
8.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.224 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.224 * [taylor]: Taking taylor expansion of im in im
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 1 into 1
8.224 * [backup-simplify]: Simplify (* 1 1) into 1
8.224 * [backup-simplify]: Simplify (/ 1 1) into 1
8.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.229 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (- 0) into 0
8.232 * [backup-simplify]: Simplify (+ 0 0) into 0
8.232 * [taylor]: Taking taylor expansion of 0 in im
8.232 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.234 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify (exp (log (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
8.236 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.236 * [taylor]: Taking taylor expansion of re in im
8.236 * [backup-simplify]: Simplify re into re
8.236 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.236 * [taylor]: Taking taylor expansion of im in im
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 1 into 1
8.237 * [backup-simplify]: Simplify (* 1 1) into 1
8.237 * [backup-simplify]: Simplify (/ 1 1) into 1
8.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.237 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.237 * [taylor]: Taking taylor expansion of re in im
8.237 * [backup-simplify]: Simplify re into re
8.237 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.237 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.238 * [backup-simplify]: Simplify (+ 1 0) into 1
8.238 * [backup-simplify]: Simplify (sqrt 1) into 1
8.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ 0 0) into 0
8.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.248 * [taylor]: Taking taylor expansion of re in re
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
8.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.248 * [taylor]: Taking taylor expansion of im in re
8.248 * [backup-simplify]: Simplify im into im
8.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.249 * [taylor]: Taking taylor expansion of re in re
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 1 into 1
8.249 * [backup-simplify]: Simplify (* 1 1) into 1
8.250 * [backup-simplify]: Simplify (/ 1 1) into 1
8.250 * [backup-simplify]: Simplify (+ 0 1) into 1
8.250 * [backup-simplify]: Simplify (sqrt 1) into 1
8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.252 * [backup-simplify]: Simplify (+ 0 0) into 0
8.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.253 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.253 * [taylor]: Taking taylor expansion of re in re
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify 1 into 1
8.254 * [backup-simplify]: Simplify (/ 1 1) into 1
8.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.254 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.254 * [taylor]: Taking taylor expansion of im in re
8.254 * [backup-simplify]: Simplify im into im
8.254 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.254 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.254 * [taylor]: Taking taylor expansion of re in re
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 1 into 1
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.255 * [backup-simplify]: Simplify (/ 1 1) into 1
8.255 * [backup-simplify]: Simplify (+ 0 1) into 1
8.256 * [backup-simplify]: Simplify (sqrt 1) into 1
8.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.258 * [backup-simplify]: Simplify (+ 0 0) into 0
8.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.259 * [backup-simplify]: Simplify (+ 1 1) into 2
8.259 * [taylor]: Taking taylor expansion of 2 in im
8.259 * [backup-simplify]: Simplify 2 into 2
8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.260 * [backup-simplify]: Simplify (+ 0 0) into 0
8.260 * [taylor]: Taking taylor expansion of 0 in im
8.260 * [backup-simplify]: Simplify 0 into 0
8.260 * [backup-simplify]: Simplify 2 into 2
8.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.263 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.265 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.265 * [taylor]: Taking taylor expansion of 1/2 in im
8.265 * [backup-simplify]: Simplify 1/2 into 1/2
8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.265 * [taylor]: Taking taylor expansion of im in im
8.265 * [backup-simplify]: Simplify 0 into 0
8.265 * [backup-simplify]: Simplify 1 into 1
8.265 * [backup-simplify]: Simplify (* 1 1) into 1
8.266 * [backup-simplify]: Simplify (/ 1 1) into 1
8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.268 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.272 * [backup-simplify]: Simplify (+ 0 0) into 0
8.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.273 * [backup-simplify]: Simplify (+ 0 0) into 0
8.273 * [taylor]: Taking taylor expansion of 0 in im
8.273 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.276 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.276 * * * [progress]: simplifying candidates
8.277 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- re)
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- re)
  (exp 1)
  (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (sqrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp 1)
  (exp (log (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (log 1))
  (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (exp (log (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (exp (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (exp (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (log (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (exp (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
8.278 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (/ (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1))
 (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (exp (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (* (* (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))
 (- (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))
 (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (- h1)
 (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))
 (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)
 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))
 (- h1)
 (exp 1)
 (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (cbrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (sqrt (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp 1)
 (exp (log (* (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (cbrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log (sqrt (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (log 1))
 (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (exp (log (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))))
 (exp (log (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))))
 (exp (log (- (pow (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3))))
 (exp (log (+ (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (exp (log (- (* (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1))))
 (exp (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))
 (log (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (exp (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))))
 (cbrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (* (* (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)))) (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 (sqrt (exp (log (- (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))))
 h0
 h1
 (* -1 h1)
 h0
 h1
 (* -1 h1)
 (- h0 h1)
 0
 (* -2 h1)
 (- h0 h1)
 0
 (* -2 h1)
10.215 * * * [progress]: adding candidates to table
10.673 * [progress]: [Phase 3 of 3] Extracting.
10.673 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
10.677 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
10.678 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
10.743 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
10.820 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
10.915 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
11.006 * * * [regime]: Found split indices: #<option (#s(si 8 41) #s(si 0 121) #s(si 2 255))>
11.009 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
11.164 * [regimes]: Found splitpoints: (#s(sp 8 re -8.953163933293596e+119) #s(sp 0 re 4.00321890872775e-310) #s(sp 2 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) 1/2) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt 1/2)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (exp (* (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (- (pow re 3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 6)) (+ (* im im) (* re (+ re (+ re (sqrt (+ (* re re) (* im im))))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (* -2 re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))))))>)
11.165 * [simplify]: Simplifying:
  (if (<= re -8.953163933293596e+119) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re 4.00321890872775e-310) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im))))))))))
11.165 * [simplify]: Sending expressions to egg_math:
 (if (<= h1 -8.953163933293596e+119) (* (/ 1.0 2.0) (sqrt (* 2.0 (* -2 h1)))) (if (<= h1 (/ 81026052760893.0 +inf.0)) (* (/ 1.0 2.0) (sqrt (* 2.0 (- (pow (+ (* h1 h1) (* h0 h0)) (/ 1 2)) h1)))) (* (/ 1.0 2.0) (sqrt (* 2.0 (/ (+ (* h0 h0) 0) (+ h1 (sqrt (+ (* h1 h1) (* h0 h0))))))))))