0.003 * [progress]: [Phase 1 of 3] Setting up.
0.005 * * * [progress]: [1/2] Preparing points
0.207 * * * [progress]: [2/2] Setting up program.
0.215 * [progress]: [Phase 2 of 3] Improving.
0.215 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.217 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
0.219 * * [simplify]: iteration 1: (12 enodes)
0.230 * * [simplify]: iteration 2: (41 enodes)
0.239 * * [simplify]: iteration 3: (50 enodes)
0.248 * * [simplify]: iteration 4: (64 enodes)
0.283 * * [simplify]: iteration 5: (73 enodes)
0.305 * * [simplify]: iteration 6: (75 enodes)
0.323 * * [simplify]: Extracting #0: cost 1 inf + 0
0.323 * * [simplify]: Extracting #1: cost 4 inf + 0
0.324 * * [simplify]: Extracting #2: cost 5 inf + 1
0.324 * * [simplify]: Extracting #3: cost 11 inf + 1
0.324 * * [simplify]: Extracting #4: cost 18 inf + 2
0.324 * * [simplify]: Extracting #5: cost 17 inf + 209
0.325 * * [simplify]: Extracting #6: cost 16 inf + 415
0.325 * * [simplify]: Extracting #7: cost 18 inf + 456
0.325 * * [simplify]: Extracting #8: cost 15 inf + 539
0.326 * * [simplify]: Extracting #9: cost 7 inf + 1795
0.328 * * [simplify]: Extracting #10: cost 0 inf + 3658
0.329 * [simplify]: Simplified to (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.338 * * [progress]: iteration 1 / 4
0.338 * * * [progress]: picking best candidate
0.345 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
0.345 * * * [progress]: localizing error
0.387 * * * [progress]: generating rewritten candidates
0.387 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.433 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.441 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.475 * * * [progress]: generating series expansions
0.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.480 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.480 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.482 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.482 * [taylor]: Taking taylor expansion of im in im
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.482 * [taylor]: Taking taylor expansion of re in im
0.482 * [backup-simplify]: Simplify re into re
0.483 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.483 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.483 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.483 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.484 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.484 * [taylor]: Taking taylor expansion of im in re
0.484 * [backup-simplify]: Simplify im into im
0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.484 * [taylor]: Taking taylor expansion of re in re
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.484 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.485 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.485 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.485 * [taylor]: Taking taylor expansion of im in re
0.485 * [backup-simplify]: Simplify im into im
0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.485 * [taylor]: Taking taylor expansion of re in re
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.485 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.485 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.486 * [taylor]: Taking taylor expansion of im in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [taylor]: Taking taylor expansion of 0 in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.488 * [backup-simplify]: Simplify (+ 0 1) into 1
0.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.488 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.488 * [taylor]: Taking taylor expansion of 1/2 in im
0.488 * [backup-simplify]: Simplify 1/2 into 1/2
0.488 * [taylor]: Taking taylor expansion of im in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.491 * [taylor]: Taking taylor expansion of 0 in im
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.492 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.492 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.492 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.492 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.492 * [taylor]: Taking taylor expansion of im in im
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.498 * [backup-simplify]: Simplify (sqrt 1) into 1
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.501 * [taylor]: Taking taylor expansion of re in re
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.502 * [taylor]: Taking taylor expansion of im in re
0.502 * [backup-simplify]: Simplify im into im
0.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.503 * [backup-simplify]: Simplify (+ 1 0) into 1
0.503 * [backup-simplify]: Simplify (sqrt 1) into 1
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.505 * [taylor]: Taking taylor expansion of im in re
0.505 * [backup-simplify]: Simplify im into im
0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.505 * [backup-simplify]: Simplify (+ 1 0) into 1
0.506 * [backup-simplify]: Simplify (sqrt 1) into 1
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [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 in im
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [taylor]: Taking taylor expansion of 0 in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.509 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.509 * [taylor]: Taking taylor expansion of 1/2 in im
0.509 * [backup-simplify]: Simplify 1/2 into 1/2
0.509 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.509 * [taylor]: Taking taylor expansion of im in im
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (* 1 1) into 1
0.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.513 * [taylor]: Taking taylor expansion of 0 in im
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.514 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.514 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.514 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.514 * [taylor]: Taking taylor expansion of re in im
0.514 * [backup-simplify]: Simplify re into re
0.514 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.514 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [backup-simplify]: Simplify (+ 0 1) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.517 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.517 * [backup-simplify]: Simplify (/ 1 1) into 1
0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.518 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.518 * [taylor]: Taking taylor expansion of im in re
0.518 * [backup-simplify]: Simplify im into im
0.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.518 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [backup-simplify]: Simplify (sqrt 1) into 1
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.520 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.520 * [taylor]: Taking taylor expansion of re in re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.520 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.521 * [backup-simplify]: Simplify (+ 1 0) into 1
0.521 * [backup-simplify]: Simplify (sqrt 1) into 1
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.522 * [taylor]: Taking taylor expansion of 1 in im
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [taylor]: Taking taylor expansion of 0 in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.524 * [taylor]: Taking taylor expansion of 1/2 in im
0.524 * [backup-simplify]: Simplify 1/2 into 1/2
0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.524 * [taylor]: Taking taylor expansion of im in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in im
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.529 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
0.529 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
0.529 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.529 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.529 * [taylor]: Taking taylor expansion of im in im
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.529 * [taylor]: Taking taylor expansion of re in im
0.529 * [backup-simplify]: Simplify re into re
0.530 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.530 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.530 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.530 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.530 * [taylor]: Taking taylor expansion of re in im
0.530 * [backup-simplify]: Simplify re into re
0.530 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.530 * [taylor]: Taking taylor expansion of re in re
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.530 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.530 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.530 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.531 * [taylor]: Taking taylor expansion of re in re
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.531 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.531 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.531 * [taylor]: Taking taylor expansion of im in re
0.531 * [backup-simplify]: Simplify im into im
0.531 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.531 * [taylor]: Taking taylor expansion of re in re
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.531 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.532 * [taylor]: Taking taylor expansion of re in re
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ im 0) into 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 0 into 0
0.533 * [backup-simplify]: Simplify (- 1) into -1
0.533 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.533 * [taylor]: Taking taylor expansion of -1 in im
0.533 * [backup-simplify]: Simplify -1 into -1
0.533 * [backup-simplify]: Simplify -1 into -1
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (+ 0 1) into 1
0.535 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.536 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.536 * [taylor]: Taking taylor expansion of 1/2 in im
0.536 * [backup-simplify]: Simplify 1/2 into 1/2
0.536 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.536 * [taylor]: Taking taylor expansion of im in im
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.541 * [backup-simplify]: Simplify (- 0) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [taylor]: Taking taylor expansion of 0 in im
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
0.544 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.544 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.544 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.544 * [taylor]: Taking taylor expansion of re in im
0.544 * [backup-simplify]: Simplify re into re
0.544 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.544 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (/ 1 1) into 1
0.545 * [backup-simplify]: Simplify (+ 0 1) into 1
0.546 * [backup-simplify]: Simplify (sqrt 1) into 1
0.546 * [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 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.548 * [taylor]: Taking taylor expansion of re in im
0.548 * [backup-simplify]: Simplify re into re
0.548 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.548 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.548 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.549 * [taylor]: Taking taylor expansion of re in re
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.549 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.549 * [taylor]: Taking taylor expansion of im in re
0.549 * [backup-simplify]: Simplify im into im
0.550 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.550 * [backup-simplify]: Simplify (+ 1 0) into 1
0.550 * [backup-simplify]: Simplify (sqrt 1) into 1
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (/ 1 1) into 1
0.553 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.554 * [taylor]: Taking taylor expansion of re in re
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.554 * [taylor]: Taking taylor expansion of im in re
0.554 * [backup-simplify]: Simplify im into im
0.554 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [backup-simplify]: Simplify (sqrt 1) into 1
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.558 * [taylor]: Taking taylor expansion of re in re
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (/ 1 1) into 1
0.559 * [backup-simplify]: Simplify (- 1) into -1
0.559 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.559 * [taylor]: Taking taylor expansion of 0 in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [taylor]: Taking taylor expansion of 0 in im
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- 0) into 0
0.565 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.565 * [taylor]: Taking taylor expansion of 1/2 in im
0.565 * [backup-simplify]: Simplify 1/2 into 1/2
0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.565 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.574 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [taylor]: Taking taylor expansion of 0 in im
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.577 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.577 * [taylor]: Taking taylor expansion of re in im
0.577 * [backup-simplify]: Simplify re into re
0.577 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
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
0.577 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.577 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.577 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (* 1 1) into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [backup-simplify]: Simplify (+ 0 1) into 1
0.579 * [backup-simplify]: Simplify (sqrt 1) into 1
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.582 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.582 * [taylor]: Taking taylor expansion of re in re
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (/ 1 1) into 1
0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.582 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.582 * [taylor]: Taking taylor expansion of re in re
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (* 1 1) into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.583 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.583 * [taylor]: Taking taylor expansion of im in re
0.583 * [backup-simplify]: Simplify im into im
0.583 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.584 * [backup-simplify]: Simplify (+ 1 0) into 1
0.585 * [backup-simplify]: Simplify (sqrt 1) into 1
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.587 * [taylor]: Taking taylor expansion of re in re
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (/ 1 1) into 1
0.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.588 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.588 * [taylor]: Taking taylor expansion of re in re
0.588 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.589 * [backup-simplify]: Simplify (/ 1 1) into 1
0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.589 * [taylor]: Taking taylor expansion of im in re
0.589 * [backup-simplify]: Simplify im into im
0.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.589 * [backup-simplify]: Simplify (+ 1 0) into 1
0.590 * [backup-simplify]: Simplify (sqrt 1) into 1
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 0) into 0
0.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.592 * [backup-simplify]: Simplify (+ 1 1) into 2
0.592 * [taylor]: Taking taylor expansion of 2 in im
0.592 * [backup-simplify]: Simplify 2 into 2
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in im
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 2 into 2
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.598 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.598 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.598 * [taylor]: Taking taylor expansion of 1/2 in im
0.598 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.599 * [backup-simplify]: Simplify (/ 1 1) into 1
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.606 * [backup-simplify]: Simplify (+ 0 0) into 0
0.606 * [taylor]: Taking taylor expansion of 0 in im
0.606 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
0.609 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.610 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.610 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.610 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.610 * [taylor]: Taking taylor expansion of im in im
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.610 * [taylor]: Taking taylor expansion of re in im
0.610 * [backup-simplify]: Simplify re into re
0.610 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.610 * [taylor]: Taking taylor expansion of im in re
0.610 * [backup-simplify]: Simplify im into im
0.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.610 * [taylor]: Taking taylor expansion of re in re
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.610 * [taylor]: Taking taylor expansion of im in re
0.610 * [backup-simplify]: Simplify im into im
0.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.610 * [taylor]: Taking taylor expansion of re in re
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.610 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.611 * [taylor]: Taking taylor expansion of im in im
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.611 * [taylor]: Taking taylor expansion of 0 in im
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 1) into 1
0.612 * [backup-simplify]: Simplify (+ 0 1) into 1
0.612 * [taylor]: Taking taylor expansion of 1 in im
0.612 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify (* 1 1) into 1
0.613 * [backup-simplify]: Simplify 1 into 1
0.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 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
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [taylor]: Taking taylor expansion of 0 in im
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.619 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.619 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.619 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.619 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.619 * [taylor]: Taking taylor expansion of im in im
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 1 into 1
0.619 * [backup-simplify]: Simplify (* 1 1) into 1
0.620 * [backup-simplify]: Simplify (/ 1 1) into 1
0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.620 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.620 * [taylor]: Taking taylor expansion of re in re
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (* 1 1) into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.621 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.621 * [taylor]: Taking taylor expansion of im in re
0.621 * [backup-simplify]: Simplify im into im
0.621 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.621 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.621 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.621 * [taylor]: Taking taylor expansion of re in re
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.622 * [backup-simplify]: Simplify (* 1 1) into 1
0.622 * [backup-simplify]: Simplify (/ 1 1) into 1
0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.622 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.622 * [taylor]: Taking taylor expansion of im in re
0.622 * [backup-simplify]: Simplify im into im
0.622 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.622 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.623 * [backup-simplify]: Simplify (+ 1 0) into 1
0.623 * [taylor]: Taking taylor expansion of 1 in im
0.623 * [backup-simplify]: Simplify 1 into 1
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [taylor]: Taking taylor expansion of 0 in im
0.629 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.632 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.632 * [taylor]: Taking taylor expansion of im in im
0.632 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify (* 1 1) into 1
0.632 * [backup-simplify]: Simplify (/ 1 1) into 1
0.632 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.635 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [taylor]: Taking taylor expansion of 0 in im
0.635 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.639 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.640 * [taylor]: Taking taylor expansion of 0 in im
0.640 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.642 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.642 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.643 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.643 * [taylor]: Taking taylor expansion of re in im
0.643 * [backup-simplify]: Simplify re into re
0.643 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.643 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.643 * [taylor]: Taking taylor expansion of im in im
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (/ 1 1) into 1
0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.644 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.644 * [taylor]: Taking taylor expansion of re in re
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (* 1 1) into 1
0.645 * [backup-simplify]: Simplify (/ 1 1) into 1
0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.645 * [taylor]: Taking taylor expansion of im in re
0.645 * [backup-simplify]: Simplify im into im
0.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.645 * [taylor]: Taking taylor expansion of re in re
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [backup-simplify]: Simplify (* 1 1) into 1
0.646 * [backup-simplify]: Simplify (/ 1 1) into 1
0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.646 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.646 * [taylor]: Taking taylor expansion of im in re
0.646 * [backup-simplify]: Simplify im into im
0.646 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.646 * [backup-simplify]: Simplify (+ 1 0) into 1
0.646 * [taylor]: Taking taylor expansion of 1 in im
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ 0 0) into 0
0.648 * [taylor]: Taking taylor expansion of 0 in im
0.648 * [backup-simplify]: Simplify 0 into 0
0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.650 * [taylor]: Taking taylor expansion of im in im
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.651 * [backup-simplify]: Simplify (/ 1 1) into 1
0.651 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.653 * [backup-simplify]: Simplify (+ 0 0) into 0
0.653 * [taylor]: Taking taylor expansion of 0 in im
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.656 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [taylor]: Taking taylor expansion of 0 in im
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.657 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.657 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)))
0.657 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0
0.657 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.657 * [taylor]: Taking taylor expansion of 2.0 in im
0.657 * [backup-simplify]: Simplify 2.0 into 2.0
0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.658 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
0.658 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.658 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.658 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.658 * [taylor]: Taking taylor expansion of im in im
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.658 * [taylor]: Taking taylor expansion of re in im
0.658 * [backup-simplify]: Simplify re into re
0.658 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.658 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.658 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.658 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.659 * [backup-simplify]: Simplify (+ 0 0) into 0
0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.659 * [taylor]: Taking taylor expansion of re in im
0.659 * [backup-simplify]: Simplify re into re
0.659 * [backup-simplify]: Simplify (- re) into (- re)
0.659 * [backup-simplify]: Simplify (+ re (- re)) into 0
0.659 * [backup-simplify]: Simplify (- 0) into 0
0.659 * [backup-simplify]: Simplify (+ 0 0) into 0
0.660 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
0.660 * [backup-simplify]: Simplify (+ 1 0) into 1
0.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
0.661 * [backup-simplify]: Simplify (- 0) into 0
0.661 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
0.661 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.662 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
0.662 * [backup-simplify]: Simplify (+ 0 0) into 0
0.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
0.662 * [backup-simplify]: Simplify (- 0) into 0
0.662 * [backup-simplify]: Simplify (+ 0 0) into 0
0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
0.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
0.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.663 * [taylor]: Taking taylor expansion of 2.0 in re
0.663 * [backup-simplify]: Simplify 2.0 into 2.0
0.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.663 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
0.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.663 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.663 * [taylor]: Taking taylor expansion of im in re
0.663 * [backup-simplify]: Simplify im into im
0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.663 * [taylor]: Taking taylor expansion of re in re
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.664 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.664 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.664 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.664 * [taylor]: Taking taylor expansion of re in re
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (- 0) into 0
0.664 * [backup-simplify]: Simplify (+ im 0) into im
0.664 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.665 * [backup-simplify]: Simplify (- 1) into -1
0.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.665 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
0.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.665 * [taylor]: Taking taylor expansion of 2.0 in re
0.665 * [backup-simplify]: Simplify 2.0 into 2.0
0.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.666 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
0.666 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.666 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.666 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.666 * [taylor]: Taking taylor expansion of im in re
0.666 * [backup-simplify]: Simplify im into im
0.666 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.666 * [taylor]: Taking taylor expansion of re in re
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.666 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.666 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.666 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.666 * [taylor]: Taking taylor expansion of re in re
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (- 0) into 0
0.667 * [backup-simplify]: Simplify (+ im 0) into im
0.667 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.667 * [backup-simplify]: Simplify (- 1) into -1
0.667 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.667 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
0.668 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.668 * [taylor]: Taking taylor expansion of 2.0 in im
0.668 * [backup-simplify]: Simplify 2.0 into 2.0
0.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.668 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.668 * [taylor]: Taking taylor expansion of im in im
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 1 into 1
0.669 * [backup-simplify]: Simplify (sqrt 0) into 0
0.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.672 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.672 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
0.672 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im
0.672 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.672 * [taylor]: Taking taylor expansion of 1/2 in im
0.672 * [backup-simplify]: Simplify 1/2 into 1/2
0.672 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.672 * [taylor]: Taking taylor expansion of 2.0 in im
0.672 * [backup-simplify]: Simplify 2.0 into 2.0
0.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.673 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.673 * [taylor]: Taking taylor expansion of im in im
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [backup-simplify]: Simplify (sqrt 0) into 0
0.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.676 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.678 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.681 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.686 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.688 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.689 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.693 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.696 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.698 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.703 * [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) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))
0.703 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.704 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.704 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.704 * [taylor]: Taking taylor expansion of 2.0 in im
0.704 * [backup-simplify]: Simplify 2.0 into 2.0
0.704 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.705 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.705 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.705 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.705 * [taylor]: Taking taylor expansion of re in im
0.705 * [backup-simplify]: Simplify re into re
0.705 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.705 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.705 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.705 * [taylor]: Taking taylor expansion of im in im
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 1 into 1
0.706 * [backup-simplify]: Simplify (* 1 1) into 1
0.706 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [backup-simplify]: Simplify (+ 0 1) into 1
0.707 * [backup-simplify]: Simplify (sqrt 1) into 1
0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.710 * [taylor]: Taking taylor expansion of re in im
0.710 * [backup-simplify]: Simplify re into re
0.710 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.710 * [backup-simplify]: Simplify (+ 1 0) into 1
0.710 * [backup-simplify]: Simplify (sqrt 0) into 0
0.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.712 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
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
0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.714 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.714 * [taylor]: Taking taylor expansion of im in re
0.714 * [backup-simplify]: Simplify im into im
0.714 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.714 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.715 * [backup-simplify]: Simplify (+ 1 0) into 1
0.715 * [backup-simplify]: Simplify (sqrt 1) into 1
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.717 * [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
0.718 * [backup-simplify]: Simplify (- 1) into -1
0.719 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.719 * [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 (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.723 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (- 0) into 0
0.725 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.725 * [backup-simplify]: Simplify (sqrt 0) into 0
0.726 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.726 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.726 * [taylor]: Taking taylor expansion of 2.0 in re
0.726 * [backup-simplify]: Simplify 2.0 into 2.0
0.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.727 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.727 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.727 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.727 * [taylor]: Taking taylor expansion of re in re
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.727 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.728 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.728 * [taylor]: Taking taylor expansion of im in re
0.728 * [backup-simplify]: Simplify im into im
0.728 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.728 * [backup-simplify]: Simplify (+ 1 0) into 1
0.729 * [backup-simplify]: Simplify (sqrt 1) into 1
0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.731 * [backup-simplify]: Simplify (+ 0 0) into 0
0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.731 * [taylor]: Taking taylor expansion of re in re
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 1 into 1
0.732 * [backup-simplify]: Simplify (/ 1 1) into 1
0.732 * [backup-simplify]: Simplify (- 1) into -1
0.732 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (- 0) into 0
0.734 * [backup-simplify]: Simplify (+ 0 0) into 0
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.736 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (- 0) into 0
0.738 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.739 * [backup-simplify]: Simplify (sqrt 0) into 0
0.739 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.740 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.740 * [taylor]: Taking taylor expansion of 0 in im
0.740 * [backup-simplify]: Simplify 0 into 0
0.741 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 2) 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
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.744 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.747 * [backup-simplify]: Simplify (- 0) into 0
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.750 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (- 0) into 0
0.752 * [backup-simplify]: Simplify (+ 0 0) into 0
0.757 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.760 * [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))))
0.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (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)
0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.761 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.761 * [taylor]: Taking taylor expansion of im in im
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.762 * [backup-simplify]: Simplify (* 1 1) into 1
0.762 * [backup-simplify]: Simplify (* 1 1) into 1
0.763 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.776 * [backup-simplify]: Simplify (- 0) into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.781 * [backup-simplify]: Simplify (- 0) into 0
0.781 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.784 * [backup-simplify]: Simplify (+ 0 0) into 0
0.785 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.786 * [backup-simplify]: Simplify (- 0) into 0
0.786 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.787 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.790 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.790 * [taylor]: Taking taylor expansion of +nan.0 in im
0.790 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.790 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.790 * [taylor]: Taking taylor expansion of 2.0 in im
0.790 * [backup-simplify]: Simplify 2.0 into 2.0
0.790 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.791 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.791 * [taylor]: Taking taylor expansion of im in im
0.791 * [backup-simplify]: Simplify 0 into 0
0.791 * [backup-simplify]: Simplify 1 into 1
0.791 * [backup-simplify]: Simplify (* 1 1) into 1
0.792 * [backup-simplify]: Simplify (* 1 1) into 1
0.793 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.793 * [taylor]: Taking taylor expansion of +nan.0 in im
0.793 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) 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 (pow im 6) in im
0.794 * [taylor]: Taking taylor expansion of im in im
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (* 1 1) into 1
0.795 * [backup-simplify]: Simplify (* 1 1) into 1
0.795 * [backup-simplify]: Simplify (* 1 1) into 1
0.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.836 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 0 into 0
0.837 * [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 re 2)) (/ 1 (pow im 2)))))))
0.837 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.837 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.837 * [taylor]: Taking taylor expansion of 2.0 in im
0.837 * [backup-simplify]: Simplify 2.0 into 2.0
0.837 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.838 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.838 * [taylor]: Taking taylor expansion of re in im
0.838 * [backup-simplify]: Simplify re into re
0.838 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.838 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.838 * [taylor]: Taking taylor expansion of re in im
0.838 * [backup-simplify]: Simplify re into re
0.838 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.838 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.838 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.838 * [taylor]: Taking taylor expansion of im in im
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 1 into 1
0.839 * [backup-simplify]: Simplify (* 1 1) into 1
0.839 * [backup-simplify]: Simplify (/ 1 1) into 1
0.839 * [backup-simplify]: Simplify (+ 0 1) into 1
0.840 * [backup-simplify]: Simplify (sqrt 1) into 1
0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.841 * [backup-simplify]: Simplify (+ 0 0) into 0
0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.841 * [backup-simplify]: Simplify (+ 0 1) into 1
0.841 * [backup-simplify]: Simplify (sqrt 0) into 0
0.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.842 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.842 * [taylor]: Taking taylor expansion of 2.0 in re
0.842 * [backup-simplify]: Simplify 2.0 into 2.0
0.843 * [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 (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.843 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.843 * [taylor]: Taking taylor expansion of re in re
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
0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.844 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.844 * [taylor]: Taking taylor expansion of re in re
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify (* 1 1) into 1
0.844 * [backup-simplify]: Simplify (/ 1 1) into 1
0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.844 * [taylor]: Taking taylor expansion of im in re
0.844 * [backup-simplify]: Simplify im into im
0.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.844 * [backup-simplify]: Simplify (+ 1 0) into 1
0.845 * [backup-simplify]: Simplify (sqrt 1) into 1
0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.846 * [backup-simplify]: Simplify (+ 0 0) into 0
0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.846 * [backup-simplify]: Simplify (+ 1 1) into 2
0.847 * [backup-simplify]: Simplify (sqrt 0) into 0
0.847 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.847 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.847 * [taylor]: Taking taylor expansion of 2.0 in re
0.847 * [backup-simplify]: Simplify 2.0 into 2.0
0.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.848 * [taylor]: Taking taylor expansion of re in re
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.848 * [backup-simplify]: Simplify (/ 1 1) into 1
0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.848 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.848 * [taylor]: Taking taylor expansion of re in re
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.849 * [backup-simplify]: Simplify (* 1 1) into 1
0.849 * [backup-simplify]: Simplify (/ 1 1) into 1
0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.849 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.849 * [taylor]: Taking taylor expansion of im in re
0.849 * [backup-simplify]: Simplify im into im
0.849 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.849 * [backup-simplify]: Simplify (+ 1 0) into 1
0.850 * [backup-simplify]: Simplify (sqrt 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (+ 0 0) into 0
0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.851 * [backup-simplify]: Simplify (+ 1 1) into 2
0.851 * [backup-simplify]: Simplify (sqrt 0) into 0
0.852 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.853 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.853 * [taylor]: Taking taylor expansion of 0 in im
0.853 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.854 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.854 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.854 * [taylor]: Taking taylor expansion of +nan.0 in im
0.854 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.854 * [taylor]: Taking taylor expansion of 2.0 in im
0.854 * [backup-simplify]: Simplify 2.0 into 2.0
0.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.862 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.862 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.863 * [taylor]: Taking taylor expansion of +nan.0 in im
0.863 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.863 * [taylor]: Taking taylor expansion of 2.0 in im
0.863 * [backup-simplify]: Simplify 2.0 into 2.0
0.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.865 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.866 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.868 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.868 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.872 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.875 * [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))
0.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.878 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.878 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.878 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.878 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.878 * [taylor]: Taking taylor expansion of +nan.0 in im
0.878 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.878 * [taylor]: Taking taylor expansion of 2.0 in im
0.878 * [backup-simplify]: Simplify 2.0 into 2.0
0.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.879 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.879 * [taylor]: Taking taylor expansion of +nan.0 in im
0.879 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.879 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.879 * [taylor]: Taking taylor expansion of 2.0 in im
0.879 * [backup-simplify]: Simplify 2.0 into 2.0
0.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.881 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.881 * [taylor]: Taking taylor expansion of im in im
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (* 1 1) into 1
0.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.889 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.890 * [backup-simplify]: Simplify (- 0) into 0
0.890 * [backup-simplify]: Simplify (+ 0 0) into 0
0.890 * [backup-simplify]: Simplify (- 0) into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.893 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.893 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.894 * [backup-simplify]: Simplify (- 0) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.896 * [backup-simplify]: Simplify (+ 0 0) into 0
0.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.896 * [backup-simplify]: Simplify (+ 0 0) into 0
0.897 * [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)))
0.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.899 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.899 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.899 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.899 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.899 * [taylor]: Taking taylor expansion of +nan.0 in im
0.899 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.899 * [taylor]: Taking taylor expansion of 2.0 in im
0.899 * [backup-simplify]: Simplify 2.0 into 2.0
0.899 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.900 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.900 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.900 * [taylor]: Taking taylor expansion of +nan.0 in im
0.900 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.900 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.900 * [taylor]: Taking taylor expansion of 2.0 in im
0.900 * [backup-simplify]: Simplify 2.0 into 2.0
0.900 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.901 * [taylor]: Taking taylor expansion of im in im
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify 1 into 1
0.901 * [backup-simplify]: Simplify (* 1 1) into 1
0.901 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.903 * [backup-simplify]: Simplify (- 0) into 0
0.903 * [backup-simplify]: Simplify (+ 0 0) into 0
0.903 * [backup-simplify]: Simplify (- 0) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.907 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.909 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.910 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.913 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.913 * * * [progress]: simplifying candidates
0.913 * * * * [progress]: [ 1 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.913 * * * * [progress]: [ 2 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.913 * * * * [progress]: [ 3 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.913 * * * * [progress]: [ 4 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.913 * * * * [progress]: [ 5 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.913 * * * * [progress]: [ 6 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.913 * * * * [progress]: [ 7 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
0.913 * * * * [progress]: [ 8 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.914 * * * * [progress]: [ 9 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.914 * * * * [progress]: [ 10 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.914 * * * * [progress]: [ 11 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
0.914 * * * * [progress]: [ 12 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
0.914 * * * * [progress]: [ 13 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.914 * * * * [progress]: [ 14 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
0.914 * * * * [progress]: [ 15 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
0.914 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
0.914 * * * * [progress]: [ 17 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
0.914 * * * * [progress]: [ 18 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1)))))>
0.914 * * * * [progress]: [ 19 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.914 * * * * [progress]: [ 20 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.914 * * * * [progress]: [ 21 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.914 * * * * [progress]: [ 22 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.914 * * * * [progress]: [ 23 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.914 * * * * [progress]: [ 24 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (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))))))))>
0.914 * * * * [progress]: [ 25 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) (- re))))))>
0.914 * * * * [progress]: [ 26 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))>
0.914 * * * * [progress]: [ 27 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.914 * * * * [progress]: [ 28 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
0.914 * * * * [progress]: [ 29 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
0.914 * * * * [progress]: [ 30 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))>
0.914 * * * * [progress]: [ 31 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) (- re))))))>
0.914 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.915 * * * * [progress]: [ 33 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (log (* (exp (* re re)) (exp (* im im))))) re)))))>
0.915 * * * * [progress]: [ 34 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (pow (+ (* re re) (* im im)) 1)) re)))))>
0.915 * * * * [progress]: [ 35 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (exp (log (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 36 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (log (exp (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 37 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 38 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (cbrt (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 39 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 40 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.915 * * * * [progress]: [ 41 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* 1 (+ (* re re) (* im im)))) re)))))>
0.915 * * * * [progress]: [ 42 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)))) re)))))>
0.915 * * * * [progress]: [ 43 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (posit16->real (real->posit16 (+ (* re re) (* im im))))) re)))))>
0.915 * * * * [progress]: [ 44 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* im im) (* re re))) re)))))>
0.915 * * * * [progress]: [ 45 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
0.915 * * * * [progress]: [ 46 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 1)))>
0.915 * * * * [progress]: [ 47 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.915 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.915 * * * * [progress]: [ 49 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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)))))))>
0.915 * * * * [progress]: [ 50 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (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)))))))>
0.915 * * * * [progress]: [ 51 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
0.916 * * * * [progress]: [ 52 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (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)))))))>
0.916 * * * * [progress]: [ 53 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.916 * * * * [progress]: [ 54 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.916 * * * * [progress]: [ 55 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.916 * * * * [progress]: [ 56 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.916 * * * * [progress]: [ 57 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))>
0.916 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
0.916 * * * * [progress]: [ 59 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
0.916 * * * * [progress]: [ 60 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))>
0.916 * * * * [progress]: [ 61 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))>
0.916 * * * * [progress]: [ 62 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
0.916 * * * * [progress]: [ 63 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
0.916 * * * * [progress]: [ 64 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
0.916 * * * * [progress]: [ 65 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.916 * * * * [progress]: [ 66 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.916 * * * * [progress]: [ 67 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.916 * * * * [progress]: [ 68 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im)))))))))>
0.916 * * * * [progress]: [ 69 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
0.916 * * * * [progress]: [ 70 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
0.917 * [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)))), (real->posit16 (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), (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)), (* (exp (* re re)) (exp (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (pow (* re re) 3) (pow (* im im) 3)), (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (- (* re re) (* im im)), (real->posit16 (+ (* 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)))), (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))), im, re, (* -1 re), (- im re), 0, (* -2 re), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))), 0, (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.918 * * [simplify]: iteration 1: (118 enodes)
0.960 * * [simplify]: iteration 2: (475 enodes)
1.083 * * [simplify]: iteration 3: (969 enodes)
1.541 * * [simplify]: Extracting #0: cost 61 inf + 0
1.541 * * [simplify]: Extracting #1: cost 256 inf + 5
1.544 * * [simplify]: Extracting #2: cost 593 inf + 2799
1.551 * * [simplify]: Extracting #3: cost 531 inf + 29023
1.579 * * [simplify]: Extracting #4: cost 242 inf + 84325
1.632 * * [simplify]: Extracting #5: cost 64 inf + 135406
1.685 * * [simplify]: Extracting #6: cost 1 inf + 155372
1.718 * * [simplify]: Extracting #7: cost 0 inf + 155775
1.775 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))), (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* 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)))), (real->posit16 (sqrt (+ (* re re) (* im im)))), (exp (- (sqrt (+ (* re re) (* im im))) re)), (log (- (sqrt (+ (* re re) (* im im))) re)), (exp (- (sqrt (+ (* re re) (* im im))) re)), (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))), (cbrt (- (sqrt (+ (* re re) (* im im))) re)), (* (- (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)), (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))), (+ (* (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im)))) (* re re)), (- re), (+ (* im im) (- (* re re) (* 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), (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)), (exp (+ (* re re) (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im)))), (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (- (* re re) (* im im)), (real->posit16 (+ (* 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)))), (* (* 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 (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))), (sqrt (+ (* (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im)))) (* re re))), (sqrt (* 2.0 (+ (* im im) (- (* re re) (* 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)))), (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))), im, re, (- re), (- im re), 0, (* -2 re), (+ (* re re) (* im im)), (+ (* re re) (* im im)), (+ (* re re) (* im im)), (- (+ (* (* (sqrt 2.0) im) +nan.0) (* (* (* (sqrt 2.0) im) +nan.0) (- re im)))), 0, (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
1.786 * * * [progress]: adding candidates to table
2.642 * * [progress]: iteration 2 / 4
2.642 * * * [progress]: picking best candidate
2.714 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.714 * * * [progress]: localizing error
2.763 * * * [progress]: generating rewritten candidates
2.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.769 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.818 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.874 * * * [progress]: generating series expansions
2.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.874 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.875 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.875 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.875 * [taylor]: Taking taylor expansion of im in im
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.875 * [taylor]: Taking taylor expansion of re in im
2.875 * [backup-simplify]: Simplify re into re
2.875 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.875 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.875 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.875 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.876 * [backup-simplify]: Simplify (+ 0 0) into 0
2.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.876 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.876 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.876 * [taylor]: Taking taylor expansion of im in re
2.876 * [backup-simplify]: Simplify im into im
2.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.876 * [taylor]: Taking taylor expansion of re in re
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.876 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.876 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.876 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.877 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.877 * [taylor]: Taking taylor expansion of im in re
2.877 * [backup-simplify]: Simplify im into im
2.877 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.877 * [taylor]: Taking taylor expansion of re in re
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.878 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.878 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.878 * [taylor]: Taking taylor expansion of im in im
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [taylor]: Taking taylor expansion of 0 in im
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (+ 0 1) into 1
2.881 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.881 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.881 * [taylor]: Taking taylor expansion of 1/2 in im
2.881 * [backup-simplify]: Simplify 1/2 into 1/2
2.881 * [taylor]: Taking taylor expansion of im in im
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify 1 into 1
2.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.884 * [taylor]: Taking taylor expansion of 0 in im
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.886 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.886 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.886 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.886 * [taylor]: Taking taylor expansion of re in im
2.886 * [backup-simplify]: Simplify re into re
2.886 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.886 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.886 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.886 * [taylor]: Taking taylor expansion of im in im
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (* 1 1) into 1
2.887 * [backup-simplify]: Simplify (/ 1 1) into 1
2.887 * [backup-simplify]: Simplify (+ 0 1) into 1
2.891 * [backup-simplify]: Simplify (sqrt 1) into 1
2.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.894 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.894 * [taylor]: Taking taylor expansion of re in re
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify 1 into 1
2.894 * [backup-simplify]: Simplify (* 1 1) into 1
2.894 * [backup-simplify]: Simplify (/ 1 1) into 1
2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.894 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.894 * [taylor]: Taking taylor expansion of im in re
2.894 * [backup-simplify]: Simplify im into im
2.894 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.894 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.895 * [backup-simplify]: Simplify (+ 1 0) into 1
2.895 * [backup-simplify]: Simplify (sqrt 1) into 1
2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.897 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.897 * [taylor]: Taking taylor expansion of re in re
2.897 * [backup-simplify]: Simplify 0 into 0
2.897 * [backup-simplify]: Simplify 1 into 1
2.897 * [backup-simplify]: Simplify (* 1 1) into 1
2.897 * [backup-simplify]: Simplify (/ 1 1) into 1
2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.897 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.897 * [taylor]: Taking taylor expansion of im in re
2.897 * [backup-simplify]: Simplify im into im
2.897 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.897 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.898 * [backup-simplify]: Simplify (+ 1 0) into 1
2.898 * [backup-simplify]: Simplify (sqrt 1) into 1
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.899 * [backup-simplify]: Simplify (+ 0 0) into 0
2.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.900 * [taylor]: Taking taylor expansion of 1 in im
2.900 * [backup-simplify]: Simplify 1 into 1
2.900 * [taylor]: Taking taylor expansion of 0 in im
2.900 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify 1 into 1
2.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.902 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.902 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.902 * [taylor]: Taking taylor expansion of 1/2 in im
2.902 * [backup-simplify]: Simplify 1/2 into 1/2
2.902 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.902 * [taylor]: Taking taylor expansion of im in im
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [backup-simplify]: Simplify (* 1 1) into 1
2.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.905 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.906 * [backup-simplify]: Simplify (+ 0 0) into 0
2.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.906 * [taylor]: Taking taylor expansion of 0 in im
2.906 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.908 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.908 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.908 * [taylor]: Taking taylor expansion of re in im
2.908 * [backup-simplify]: Simplify re into re
2.908 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.908 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.908 * [taylor]: Taking taylor expansion of im in im
2.908 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify 1 into 1
2.908 * [backup-simplify]: Simplify (* 1 1) into 1
2.908 * [backup-simplify]: Simplify (/ 1 1) into 1
2.909 * [backup-simplify]: Simplify (+ 0 1) into 1
2.909 * [backup-simplify]: Simplify (sqrt 1) into 1
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ 0 0) into 0
2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.910 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.910 * [taylor]: Taking taylor expansion of re in re
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 1 into 1
2.911 * [backup-simplify]: Simplify (* 1 1) into 1
2.911 * [backup-simplify]: Simplify (/ 1 1) into 1
2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.911 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.911 * [taylor]: Taking taylor expansion of im in re
2.911 * [backup-simplify]: Simplify im into im
2.911 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.911 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.911 * [backup-simplify]: Simplify (+ 1 0) into 1
2.912 * [backup-simplify]: Simplify (sqrt 1) into 1
2.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.913 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.913 * [taylor]: Taking taylor expansion of re in re
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify 1 into 1
2.913 * [backup-simplify]: Simplify (* 1 1) into 1
2.914 * [backup-simplify]: Simplify (/ 1 1) into 1
2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.914 * [taylor]: Taking taylor expansion of im in re
2.914 * [backup-simplify]: Simplify im into im
2.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.914 * [backup-simplify]: Simplify (+ 1 0) into 1
2.914 * [backup-simplify]: Simplify (sqrt 1) into 1
2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.916 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.917 * [taylor]: Taking taylor expansion of 1 in im
2.917 * [backup-simplify]: Simplify 1 into 1
2.917 * [taylor]: Taking taylor expansion of 0 in im
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.918 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.919 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.919 * [taylor]: Taking taylor expansion of 1/2 in im
2.919 * [backup-simplify]: Simplify 1/2 into 1/2
2.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.919 * [taylor]: Taking taylor expansion of im in im
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 1 into 1
2.920 * [backup-simplify]: Simplify (* 1 1) into 1
2.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.922 * [backup-simplify]: Simplify (+ 0 0) into 0
2.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.923 * [taylor]: Taking taylor expansion of 0 in im
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.924 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.924 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.924 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.924 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.924 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.925 * [taylor]: Taking taylor expansion of im in im
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.925 * [taylor]: Taking taylor expansion of re in im
2.925 * [backup-simplify]: Simplify re into re
2.925 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.925 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.925 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.925 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.925 * [backup-simplify]: Simplify (+ 0 0) into 0
2.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.925 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.925 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.925 * [taylor]: Taking taylor expansion of im in re
2.925 * [backup-simplify]: Simplify im into im
2.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.925 * [taylor]: Taking taylor expansion of re in re
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.925 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.926 * [backup-simplify]: Simplify (+ 0 0) into 0
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.926 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.926 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.926 * [taylor]: Taking taylor expansion of im in re
2.926 * [backup-simplify]: Simplify im into im
2.926 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.926 * [taylor]: Taking taylor expansion of re in re
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.926 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.926 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.926 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.926 * [backup-simplify]: Simplify (+ 0 0) into 0
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.927 * [taylor]: Taking taylor expansion of im in im
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [taylor]: Taking taylor expansion of 0 in im
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (+ 0 1) into 1
2.928 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.928 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.928 * [taylor]: Taking taylor expansion of 1/2 in im
2.928 * [backup-simplify]: Simplify 1/2 into 1/2
2.928 * [taylor]: Taking taylor expansion of im in im
2.928 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.930 * [backup-simplify]: Simplify (+ 0 0) into 0
2.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.930 * [taylor]: Taking taylor expansion of 0 in im
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.931 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.931 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.931 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.931 * [taylor]: Taking taylor expansion of re in im
2.931 * [backup-simplify]: Simplify re into re
2.931 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.931 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.931 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.931 * [taylor]: Taking taylor expansion of im in im
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.932 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [backup-simplify]: Simplify (+ 0 1) into 1
2.932 * [backup-simplify]: Simplify (sqrt 1) into 1
2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (+ 0 0) into 0
2.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.934 * [taylor]: Taking taylor expansion of re in re
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 1 into 1
2.934 * [backup-simplify]: Simplify (* 1 1) into 1
2.935 * [backup-simplify]: Simplify (/ 1 1) into 1
2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.935 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.935 * [taylor]: Taking taylor expansion of im in re
2.935 * [backup-simplify]: Simplify im into im
2.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.935 * [backup-simplify]: Simplify (+ 1 0) into 1
2.936 * [backup-simplify]: Simplify (sqrt 1) into 1
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (+ 0 0) into 0
2.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.938 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.938 * [taylor]: Taking taylor expansion of re in re
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 1 into 1
2.938 * [backup-simplify]: Simplify (* 1 1) into 1
2.938 * [backup-simplify]: Simplify (/ 1 1) into 1
2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.938 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.938 * [taylor]: Taking taylor expansion of im in re
2.938 * [backup-simplify]: Simplify im into im
2.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.939 * [backup-simplify]: Simplify (+ 1 0) into 1
2.939 * [backup-simplify]: Simplify (sqrt 1) into 1
2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.940 * [taylor]: Taking taylor expansion of 1 in im
2.940 * [backup-simplify]: Simplify 1 into 1
2.940 * [taylor]: Taking taylor expansion of 0 in im
2.940 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify 1 into 1
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.942 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.942 * [taylor]: Taking taylor expansion of 1/2 in im
2.942 * [backup-simplify]: Simplify 1/2 into 1/2
2.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.942 * [taylor]: Taking taylor expansion of im in im
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.946 * [backup-simplify]: Simplify (+ 0 0) into 0
2.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.946 * [taylor]: Taking taylor expansion of 0 in im
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.947 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.947 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.947 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.947 * [taylor]: Taking taylor expansion of re in im
2.947 * [backup-simplify]: Simplify re into re
2.947 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.948 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.948 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.948 * [taylor]: Taking taylor expansion of im in im
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 1 into 1
2.948 * [backup-simplify]: Simplify (* 1 1) into 1
2.948 * [backup-simplify]: Simplify (/ 1 1) into 1
2.949 * [backup-simplify]: Simplify (+ 0 1) into 1
2.949 * [backup-simplify]: Simplify (sqrt 1) into 1
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.950 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.950 * [taylor]: Taking taylor expansion of re in re
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.951 * [backup-simplify]: Simplify (* 1 1) into 1
2.951 * [backup-simplify]: Simplify (/ 1 1) into 1
2.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.951 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.951 * [taylor]: Taking taylor expansion of im in re
2.951 * [backup-simplify]: Simplify im into im
2.951 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.951 * [backup-simplify]: Simplify (+ 1 0) into 1
2.952 * [backup-simplify]: Simplify (sqrt 1) into 1
2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (+ 0 0) into 0
2.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.953 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.953 * [taylor]: Taking taylor expansion of re in re
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (* 1 1) into 1
2.954 * [backup-simplify]: Simplify (/ 1 1) into 1
2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.954 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.954 * [taylor]: Taking taylor expansion of im in re
2.954 * [backup-simplify]: Simplify im into im
2.954 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.954 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.954 * [backup-simplify]: Simplify (+ 1 0) into 1
2.954 * [backup-simplify]: Simplify (sqrt 1) into 1
2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.955 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.956 * [taylor]: Taking taylor expansion of 1 in im
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [taylor]: Taking taylor expansion of 0 in im
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.957 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.958 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.958 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.958 * [taylor]: Taking taylor expansion of 1/2 in im
2.958 * [backup-simplify]: Simplify 1/2 into 1/2
2.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.958 * [taylor]: Taking taylor expansion of im in im
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [backup-simplify]: Simplify (* 1 1) into 1
2.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.961 * [backup-simplify]: Simplify (+ 0 0) into 0
2.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.961 * [taylor]: Taking taylor expansion of 0 in im
2.961 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.962 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.963 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
2.963 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
2.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
2.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.963 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.963 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.963 * [taylor]: Taking taylor expansion of im in im
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 1 into 1
2.963 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.963 * [taylor]: Taking taylor expansion of re in im
2.963 * [backup-simplify]: Simplify re into re
2.963 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.963 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.963 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.963 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.963 * [taylor]: Taking taylor expansion of re in im
2.963 * [backup-simplify]: Simplify re into re
2.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
2.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.963 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.963 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.963 * [taylor]: Taking taylor expansion of im in re
2.964 * [backup-simplify]: Simplify im into im
2.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.964 * [taylor]: Taking taylor expansion of re in re
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 1 into 1
2.964 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.964 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.964 * [backup-simplify]: Simplify (+ 0 0) into 0
2.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.964 * [taylor]: Taking taylor expansion of re in re
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 1 into 1
2.964 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
2.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.964 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.964 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.964 * [taylor]: Taking taylor expansion of im in re
2.964 * [backup-simplify]: Simplify im into im
2.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.964 * [taylor]: Taking taylor expansion of re in re
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify 1 into 1
2.964 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.964 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.965 * [taylor]: Taking taylor expansion of re in re
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify (- 0) into 0
2.965 * [backup-simplify]: Simplify (+ im 0) into im
2.965 * [taylor]: Taking taylor expansion of im in im
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify (- 1) into -1
2.966 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.966 * [taylor]: Taking taylor expansion of -1 in im
2.966 * [backup-simplify]: Simplify -1 into -1
2.966 * [backup-simplify]: Simplify -1 into -1
2.966 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.967 * [backup-simplify]: Simplify (+ 0 1) into 1
2.967 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.967 * [backup-simplify]: Simplify (- 0) into 0
2.967 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.967 * [taylor]: Taking taylor expansion of 1/2 in im
2.967 * [backup-simplify]: Simplify 1/2 into 1/2
2.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.967 * [taylor]: Taking taylor expansion of im in im
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 1 into 1
2.968 * [backup-simplify]: Simplify (/ 1 1) into 1
2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.968 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.970 * [backup-simplify]: Simplify (+ 0 0) into 0
2.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.970 * [backup-simplify]: Simplify (- 0) into 0
2.970 * [backup-simplify]: Simplify (+ 0 0) into 0
2.970 * [taylor]: Taking taylor expansion of 0 in im
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
2.972 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.972 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.972 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.972 * [taylor]: Taking taylor expansion of re in im
2.972 * [backup-simplify]: Simplify re into re
2.972 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.972 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.972 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.972 * [taylor]: Taking taylor expansion of im in im
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.972 * [backup-simplify]: Simplify (* 1 1) into 1
2.973 * [backup-simplify]: Simplify (/ 1 1) into 1
2.973 * [backup-simplify]: Simplify (+ 0 1) into 1
2.973 * [backup-simplify]: Simplify (sqrt 1) into 1
2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify (+ 0 0) into 0
2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.975 * [taylor]: Taking taylor expansion of re in im
2.975 * [backup-simplify]: Simplify re into re
2.975 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.975 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.975 * [taylor]: Taking taylor expansion of re in re
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [backup-simplify]: Simplify (* 1 1) into 1
2.975 * [backup-simplify]: Simplify (/ 1 1) into 1
2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.975 * [taylor]: Taking taylor expansion of im in re
2.975 * [backup-simplify]: Simplify im into im
2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.975 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.976 * [backup-simplify]: Simplify (+ 1 0) into 1
2.976 * [backup-simplify]: Simplify (sqrt 1) into 1
2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.977 * [taylor]: Taking taylor expansion of re in re
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (/ 1 1) into 1
2.978 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.978 * [taylor]: Taking taylor expansion of re in re
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (* 1 1) into 1
2.978 * [backup-simplify]: Simplify (/ 1 1) into 1
2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.978 * [taylor]: Taking taylor expansion of im in re
2.978 * [backup-simplify]: Simplify im into im
2.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.979 * [backup-simplify]: Simplify (+ 1 0) into 1
2.979 * [backup-simplify]: Simplify (sqrt 1) into 1
2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.981 * [backup-simplify]: Simplify (+ 0 0) into 0
2.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.982 * [taylor]: Taking taylor expansion of re in re
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.982 * [backup-simplify]: Simplify (- 1) into -1
2.983 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.983 * [taylor]: Taking taylor expansion of 0 in im
2.983 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (- 0) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.984 * [taylor]: Taking taylor expansion of 0 in im
2.984 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.993 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.994 * [backup-simplify]: Simplify (- 0) into 0
2.994 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.995 * [taylor]: Taking taylor expansion of 1/2 in im
2.995 * [backup-simplify]: Simplify 1/2 into 1/2
2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.995 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.995 * [taylor]: Taking taylor expansion of im in im
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify (* 1 1) into 1
2.995 * [backup-simplify]: Simplify (/ 1 1) into 1
2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.000 * [backup-simplify]: Simplify (+ 0 0) into 0
3.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (- 0) into 0
3.003 * [backup-simplify]: Simplify (+ 0 0) into 0
3.003 * [taylor]: Taking taylor expansion of 0 in im
3.003 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 0 into 0
3.007 * [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 re 2)) (/ 1 (pow im 2)))))
3.007 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.007 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.007 * [taylor]: Taking taylor expansion of re in im
3.007 * [backup-simplify]: Simplify re into re
3.007 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.007 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.007 * [taylor]: Taking taylor expansion of re in im
3.007 * [backup-simplify]: Simplify re into re
3.007 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.007 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.007 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.007 * [taylor]: Taking taylor expansion of im in im
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify (* 1 1) into 1
3.008 * [backup-simplify]: Simplify (/ 1 1) into 1
3.009 * [backup-simplify]: Simplify (+ 0 1) into 1
3.009 * [backup-simplify]: Simplify (sqrt 1) into 1
3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.011 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.011 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.012 * [taylor]: Taking taylor expansion of re in re
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (/ 1 1) into 1
3.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.012 * [taylor]: Taking taylor expansion of re in re
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify (* 1 1) into 1
3.013 * [backup-simplify]: Simplify (/ 1 1) into 1
3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.013 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.013 * [taylor]: Taking taylor expansion of im in re
3.013 * [backup-simplify]: Simplify im into im
3.013 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.013 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.014 * [backup-simplify]: Simplify (+ 1 0) into 1
3.014 * [backup-simplify]: Simplify (sqrt 1) into 1
3.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (+ 0 0) into 0
3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.017 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.017 * [taylor]: Taking taylor expansion of re in re
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.017 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.017 * [taylor]: Taking taylor expansion of re in re
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.018 * [backup-simplify]: Simplify (* 1 1) into 1
3.018 * [backup-simplify]: Simplify (/ 1 1) into 1
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.018 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.018 * [taylor]: Taking taylor expansion of im in re
3.018 * [backup-simplify]: Simplify im into im
3.018 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.019 * [backup-simplify]: Simplify (+ 1 0) into 1
3.019 * [backup-simplify]: Simplify (sqrt 1) into 1
3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.022 * [backup-simplify]: Simplify (+ 1 1) into 2
3.022 * [taylor]: Taking taylor expansion of 2 in im
3.022 * [backup-simplify]: Simplify 2 into 2
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [taylor]: Taking taylor expansion of 0 in im
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 2 into 2
3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.027 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.027 * [taylor]: Taking taylor expansion of 1/2 in im
3.027 * [backup-simplify]: Simplify 1/2 into 1/2
3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.028 * [taylor]: Taking taylor expansion of im in im
3.028 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify 1 into 1
3.028 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (/ 1 1) into 1
3.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.035 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [taylor]: Taking taylor expansion of 0 in im
3.035 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
3.038 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
3.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.039 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.039 * [taylor]: Taking taylor expansion of im in im
3.039 * [backup-simplify]: Simplify 0 into 0
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.039 * [taylor]: Taking taylor expansion of re in im
3.039 * [backup-simplify]: Simplify re into re
3.039 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.039 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.039 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.039 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.040 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.040 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.040 * [taylor]: Taking taylor expansion of im in re
3.040 * [backup-simplify]: Simplify im into im
3.040 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.040 * [taylor]: Taking taylor expansion of re in re
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.040 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.040 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.040 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.041 * [backup-simplify]: Simplify (+ 0 0) into 0
3.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.041 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [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
3.041 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.041 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.041 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.042 * [backup-simplify]: Simplify (+ 0 0) into 0
3.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.042 * [taylor]: Taking taylor expansion of im in im
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [taylor]: Taking taylor expansion of 0 in im
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.043 * [backup-simplify]: Simplify (* 1 1) into 1
3.043 * [backup-simplify]: Simplify (+ 0 1) into 1
3.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.044 * [taylor]: Taking taylor expansion of 1/2 in im
3.044 * [backup-simplify]: Simplify 1/2 into 1/2
3.044 * [taylor]: Taking taylor expansion of im in im
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 1 into 1
3.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.047 * [backup-simplify]: Simplify (+ 0 0) into 0
3.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.048 * [taylor]: Taking taylor expansion of 0 in im
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.049 * [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 re 2)) (/ 1 (pow im 2))))
3.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.050 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.050 * [taylor]: Taking taylor expansion of re in im
3.050 * [backup-simplify]: Simplify re into re
3.050 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.050 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.050 * [taylor]: Taking taylor expansion of im in im
3.050 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify 1 into 1
3.050 * [backup-simplify]: Simplify (* 1 1) into 1
3.051 * [backup-simplify]: Simplify (/ 1 1) into 1
3.051 * [backup-simplify]: Simplify (+ 0 1) into 1
3.052 * [backup-simplify]: Simplify (sqrt 1) into 1
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (+ 0 0) into 0
3.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.054 * [taylor]: Taking taylor expansion of re in re
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* 1 1) into 1
3.055 * [backup-simplify]: Simplify (/ 1 1) into 1
3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.055 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.055 * [taylor]: Taking taylor expansion of im in re
3.055 * [backup-simplify]: Simplify im into im
3.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.056 * [backup-simplify]: Simplify (+ 1 0) into 1
3.056 * [backup-simplify]: Simplify (sqrt 1) into 1
3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.059 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.059 * [taylor]: Taking taylor expansion of re in re
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
3.060 * [backup-simplify]: Simplify (/ 1 1) into 1
3.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.061 * [backup-simplify]: Simplify (+ 1 0) into 1
3.061 * [backup-simplify]: Simplify (sqrt 1) into 1
3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.063 * [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 1 in im
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * [taylor]: Taking taylor expansion of 0 in im
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.066 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.067 * [taylor]: Taking taylor expansion of 1/2 in im
3.068 * [backup-simplify]: Simplify 1/2 into 1/2
3.068 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.068 * [taylor]: Taking taylor expansion of im in im
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.071 * [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
3.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.072 * [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
3.073 * [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 re
3.075 * [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 re 2)) (/ 1 (pow im 2))))
3.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.075 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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 (* 1 1) into 1
3.076 * [backup-simplify]: Simplify (/ 1 1) into 1
3.076 * [backup-simplify]: Simplify (+ 0 1) into 1
3.076 * [backup-simplify]: Simplify (sqrt 1) into 1
3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ 0 0) into 0
3.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.078 * [taylor]: Taking taylor expansion of re in re
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.079 * [taylor]: Taking taylor expansion of im in re
3.079 * [backup-simplify]: Simplify im into im
3.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.079 * [backup-simplify]: Simplify (+ 1 0) into 1
3.079 * [backup-simplify]: Simplify (sqrt 1) into 1
3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.081 * [taylor]: Taking taylor expansion of re in re
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.081 * [backup-simplify]: Simplify (/ 1 1) into 1
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.082 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.082 * [taylor]: Taking taylor expansion of im in re
3.082 * [backup-simplify]: Simplify im into im
3.082 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.082 * [backup-simplify]: Simplify (+ 1 0) into 1
3.082 * [backup-simplify]: Simplify (sqrt 1) into 1
3.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.084 * [taylor]: Taking taylor expansion of 1 in im
3.084 * [backup-simplify]: Simplify 1 into 1
3.084 * [taylor]: Taking taylor expansion of 0 in im
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.086 * [taylor]: Taking taylor expansion of 1/2 in im
3.086 * [backup-simplify]: Simplify 1/2 into 1/2
3.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.086 * [taylor]: Taking taylor expansion of im in im
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [backup-simplify]: Simplify (* 1 1) into 1
3.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.089 * [taylor]: Taking taylor expansion of 0 in im
3.089 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.091 * * * [progress]: simplifying candidates
3.091 * * * * [progress]: [ 1 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
3.091 * * * * [progress]: [ 2 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
3.091 * * * * [progress]: [ 3 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 4 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 5 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 6 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 7 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 8 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 9 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
3.091 * * * * [progress]: [ 10 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
3.091 * * * * [progress]: [ 11 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
3.091 * * * * [progress]: [ 12 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
3.091 * * * * [progress]: [ 13 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 14 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
3.091 * * * * [progress]: [ 15 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
3.091 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
3.091 * * * * [progress]: [ 17 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.091 * * * * [progress]: [ 18 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 19 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 20 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 21 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 22 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 23 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 24 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 25 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 26 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 27 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 28 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 29 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 30 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 31 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.092 * * * * [progress]: [ 33 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)))))))>
3.092 * * * * [progress]: [ 34 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 1)))))>
3.092 * * * * [progress]: [ 35 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
3.092 * * * * [progress]: [ 36 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
3.092 * * * * [progress]: [ 37 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))>
3.092 * * * * [progress]: [ 38 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (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)))))))>
3.092 * * * * [progress]: [ 39 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (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)))))))>
3.092 * * * * [progress]: [ 40 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (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))))))))>
3.092 * * * * [progress]: [ 41 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
3.093 * * * * [progress]: [ 42 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
3.093 * * * * [progress]: [ 43 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (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))))))>
3.093 * * * * [progress]: [ 44 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
3.093 * * * * [progress]: [ 45 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
3.093 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
3.093 * * * * [progress]: [ 47 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re)))))>
3.093 * * * * [progress]: [ 48 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re)))))>
3.093 * * * * [progress]: [ 49 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
3.093 * * * * [progress]: [ 50 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re)))))>
3.093 * * * * [progress]: [ 51 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re)))))>
3.093 * * * * [progress]: [ 52 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re)))))>
3.093 * * * * [progress]: [ 53 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re)))))>
3.093 * * * * [progress]: [ 54 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re)))))>
3.093 * * * * [progress]: [ 55 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re)))))>
3.093 * * * * [progress]: [ 56 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 1/2) re)))))>
3.093 * * * * [progress]: [ 57 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
3.093 * * * * [progress]: [ 58 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re)))))>
3.093 * * * * [progress]: [ 59 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (/ 1 2)) re)))))>
3.094 * * * * [progress]: [ 60 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re)))))>
3.094 * * * * [progress]: [ 61 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
3.094 * * * * [progress]: [ 62 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
3.094 * * * * [progress]: [ 63 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
3.094 * * * * [progress]: [ 64 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 65 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 66 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 67 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 68 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 69 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.094 * * * * [progress]: [ 70 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
3.095 * * * * [progress]: [ 71 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 72 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
3.095 * * * * [progress]: [ 73 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
3.095 * * * * [progress]: [ 74 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
3.095 * * * * [progress]: [ 75 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
3.095 * * * * [progress]: [ 76 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
3.095 * * * * [progress]: [ 77 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.095 * * * * [progress]: [ 78 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 79 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 80 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 81 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 82 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 83 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 84 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.095 * * * * [progress]: [ 85 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 86 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 87 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.095 * * * * [progress]: [ 88 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.096 * * * * [progress]: [ 89 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 90 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 91 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 92 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.096 * * * * [progress]: [ 93 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 94 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 95 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 96 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 97 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 98 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 99 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 100 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 101 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.096 * * * * [progress]: [ 102 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re)))))>
3.096 * * * * [progress]: [ 103 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re)))))>
3.096 * * * * [progress]: [ 104 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re)))))>
3.096 * * * * [progress]: [ 105 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re)))))>
3.096 * * * * [progress]: [ 106 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re)))))>
3.096 * * * * [progress]: [ 107 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 108 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 109 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 111 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.097 * * * * [progress]: [ 112 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 113 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.097 * * * * [progress]: [ 114 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 115 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.097 * * * * [progress]: [ 116 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 117 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 118 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 119 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 120 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 121 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 122 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 123 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 124 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
3.097 * * * * [progress]: [ 125 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
3.097 * * * * [progress]: [ 126 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
3.097 * * * * [progress]: [ 127 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
3.097 * * * * [progress]: [ 128 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
3.098 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (posit16->real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.098 * * * * [progress]: [ 130 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.098 * * * * [progress]: [ 131 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re)))))>
3.098 * * * * [progress]: [ 132 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))>
3.098 * * * * [progress]: [ 133 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* -1 re))) re)))))>
3.098 * * * * [progress]: [ 134 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.098 * * * * [progress]: [ 135 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.098 * * * * [progress]: [ 136 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* -1 re)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.098 * * * * [progress]: [ 137 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
3.098 * * * * [progress]: [ 138 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
3.098 * * * * [progress]: [ 139 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
3.098 * * * * [progress]: [ 140 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
3.098 * * * * [progress]: [ 141 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))>
3.098 * * * * [progress]: [ 142 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))>
3.100 * [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)))), (real->posit16 (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)))), (real->posit16 (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), (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)), (+ 1/2 1/2), (+ 1/2 (/ 1 2)), (+ 1 1), (+ (/ 1/2 2) (/ 1/2 2)), (+ (/ 1/2 2) (/ (/ 1 2) 2)), (+ (/ 1 2) 1/2), (+ (/ 1 2) (/ 1 2)), (+ (/ (/ 1 2) 2) (/ 1/2 2)), (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (+ (* re re) (* im im)) (+ (* re re) (* im im))), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (* (+ (* re re) (* im im)) (+ (* re re) (* im im))), (+ 1 1), (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))), (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))), (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))), (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))), (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt 1)) (sqrt (sqrt 1))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt 1) (sqrt 1)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* 1 1), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* 2 1/2), (* 2 1), (* 2 (/ 1/2 2)), (* 2 (/ 1 2)), (* 2 (/ (/ 1 2) 2)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) 1), (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), im, re, (* -1 re), im, re, (* -1 re), (- im re), 0, (* -2 re), im, re, (* -1 re)
3.102 * * [simplify]: iteration 1: (141 enodes)
3.170 * * [simplify]: iteration 2: (504 enodes)
3.289 * * [simplify]: iteration 3: (883 enodes)
4.045 * * [simplify]: iteration 4: (1963 enodes)
5.314 * * [simplify]: Extracting #0: cost 50 inf + 0
5.315 * * [simplify]: Extracting #1: cost 357 inf + 130
5.318 * * [simplify]: Extracting #2: cost 905 inf + 3201
5.327 * * [simplify]: Extracting #3: cost 1379 inf + 23037
5.383 * * [simplify]: Extracting #4: cost 932 inf + 180771
5.514 * * [simplify]: Extracting #5: cost 103 inf + 516387
5.666 * * [simplify]: Extracting #6: cost 0 inf + 561910
5.846 * * [simplify]: Extracting #7: cost 0 inf + 561750
6.024 * * [simplify]: Extracting #8: cost 0 inf + 561630
6.231 * [simplify]: Simplified to (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (real->posit16 (sqrt (+ (* im im) (* re re)))), (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (real->posit16 (sqrt (+ (* im im) (* re re)))), (exp (- (sqrt (+ (* im im) (* re re))) re)), (log (- (sqrt (+ (* im im) (* re re))) re)), (exp (- (sqrt (+ (* im im) (* re re))) re)), (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))), (cbrt (- (sqrt (+ (* im im) (* re re))) re)), (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))), (sqrt (- (sqrt (+ (* im im) (* re re))) re)), (sqrt (- (sqrt (+ (* im im) (* re re))) re)), (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))), (+ (* re re) (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt (+ (* im im) (* re re))))), (- re), (* im im), (+ (sqrt (+ (* im im) (* re re))) re), (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))), (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)), (- re), (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)), 1, 1, 2, 1/2, 1/2, 1, 1, 1/2, 1/2, (+ (* im im) (* re re)), (sqrt (+ (* im im) (* re re))), (* (+ (* im im) (* re re)) (+ (* im im) (* re re))), (+ (* im im) (* re re)), (* (+ (* im im) (* re re)) (+ (* im im) (* re re))), 2, (log (sqrt (+ (* im im) (* re re)))), (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (+ (* im im) (* re re)), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re))))) (sqrt (sqrt (- (* re re) (* im im))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re))))) (sqrt (sqrt (- (* re re) (* im im))))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, 2, 1/2, 1, 1/2, (* (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))), (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (fabs (cbrt (+ (* im im) (* re re)))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re)))))), (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))), (real->posit16 (sqrt (+ (* im im) (* re re)))), im, re, (- re), im, re, (- re), (- im re), 0, (* -2 re), im, re, (- re)
6.263 * * * [progress]: adding candidates to table
7.878 * * [progress]: iteration 3 / 4
7.878 * * * [progress]: picking best candidate
7.895 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.895 * * * [progress]: localizing error
7.927 * * * [progress]: generating rewritten candidates
7.927 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
7.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
7.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
7.986 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
8.037 * * * [progress]: generating series expansions
8.037 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
8.037 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.037 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.037 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.037 * [taylor]: Taking taylor expansion of im in im
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.037 * [taylor]: Taking taylor expansion of re in im
8.037 * [backup-simplify]: Simplify re into re
8.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.038 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.038 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.038 * [backup-simplify]: Simplify (+ 0 0) into 0
8.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.038 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.038 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.038 * [taylor]: Taking taylor expansion of im in re
8.038 * [backup-simplify]: Simplify im into im
8.038 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.038 * [taylor]: Taking taylor expansion of re in re
8.038 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.039 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.039 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.039 * [backup-simplify]: Simplify (+ 0 0) into 0
8.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.039 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.039 * [taylor]: Taking taylor expansion of im in re
8.039 * [backup-simplify]: Simplify im into im
8.039 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.039 * [taylor]: Taking taylor expansion of re in re
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.039 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.039 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.040 * [taylor]: Taking taylor expansion of im in im
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [taylor]: Taking taylor expansion of 0 in im
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.041 * [backup-simplify]: Simplify (* 1 1) into 1
8.041 * [backup-simplify]: Simplify (+ 0 1) into 1
8.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.041 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.041 * [taylor]: Taking taylor expansion of 1/2 in im
8.041 * [backup-simplify]: Simplify 1/2 into 1/2
8.041 * [taylor]: Taking taylor expansion of im in im
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 1 into 1
8.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.044 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.044 * [taylor]: Taking taylor expansion of 0 in im
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.045 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.045 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.045 * [taylor]: Taking taylor expansion of re in im
8.045 * [backup-simplify]: Simplify re into re
8.045 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.045 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.045 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.045 * [taylor]: Taking taylor expansion of im in im
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (* 1 1) into 1
8.046 * [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
8.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.047 * [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 re 2)) (/ 1 (pow im 2)))) in re
8.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.048 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.048 * [taylor]: Taking taylor expansion of re in re
8.048 * [backup-simplify]: Simplify 0 into 0
8.048 * [backup-simplify]: Simplify 1 into 1
8.048 * [backup-simplify]: Simplify (* 1 1) into 1
8.048 * [backup-simplify]: Simplify (/ 1 1) into 1
8.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.048 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.048 * [taylor]: Taking taylor expansion of im in re
8.048 * [backup-simplify]: Simplify im into im
8.048 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.048 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.049 * [backup-simplify]: Simplify (+ 1 0) into 1
8.049 * [backup-simplify]: Simplify (sqrt 1) into 1
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.050 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.050 * [taylor]: Taking taylor expansion of re in re
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 1 into 1
8.051 * [backup-simplify]: Simplify (* 1 1) into 1
8.051 * [backup-simplify]: Simplify (/ 1 1) into 1
8.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.051 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.051 * [taylor]: Taking taylor expansion of im in re
8.051 * [backup-simplify]: Simplify im into im
8.051 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.052 * [backup-simplify]: Simplify (+ 1 0) into 1
8.052 * [backup-simplify]: Simplify (sqrt 1) into 1
8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.054 * [backup-simplify]: Simplify (+ 0 0) into 0
8.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.055 * [taylor]: Taking taylor expansion of 1 in im
8.055 * [backup-simplify]: Simplify 1 into 1
8.055 * [taylor]: Taking taylor expansion of 0 in im
8.055 * [backup-simplify]: Simplify 0 into 0
8.055 * [backup-simplify]: Simplify 1 into 1
8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.057 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) 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
8.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 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 (+ (* im 0) (* 0 im)) into 0
8.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.064 * [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 re
8.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.067 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
8.068 * [backup-simplify]: Simplify (* 1 1) into 1
8.068 * [backup-simplify]: Simplify (/ 1 1) into 1
8.068 * [backup-simplify]: Simplify (+ 0 1) into 1
8.069 * [backup-simplify]: Simplify (sqrt 1) into 1
8.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.071 * [backup-simplify]: Simplify (+ 0 0) into 0
8.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.072 * [taylor]: Taking taylor expansion of re in re
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.073 * [taylor]: Taking taylor expansion of im in re
8.073 * [backup-simplify]: Simplify im into im
8.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.073 * [backup-simplify]: Simplify (+ 1 0) into 1
8.074 * [backup-simplify]: Simplify (sqrt 1) into 1
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.075 * [backup-simplify]: Simplify (+ 0 0) into 0
8.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.076 * [taylor]: Taking taylor expansion of re in re
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.077 * [backup-simplify]: Simplify (* 1 1) into 1
8.077 * [backup-simplify]: Simplify (/ 1 1) into 1
8.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.077 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.077 * [taylor]: Taking taylor expansion of im in re
8.077 * [backup-simplify]: Simplify im into im
8.077 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.078 * [backup-simplify]: Simplify (+ 1 0) into 1
8.078 * [backup-simplify]: Simplify (sqrt 1) into 1
8.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.081 * [taylor]: Taking taylor expansion of 1 in im
8.081 * [backup-simplify]: Simplify 1 into 1
8.081 * [taylor]: Taking taylor expansion of 0 in im
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify 1 into 1
8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.089 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.089 * [taylor]: Taking taylor expansion of 1/2 in im
8.089 * [backup-simplify]: Simplify 1/2 into 1/2
8.089 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.089 * [taylor]: Taking taylor expansion of im in im
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [backup-simplify]: Simplify (* 1 1) into 1
8.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.094 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.095 * [taylor]: Taking taylor expansion of 0 in im
8.095 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.097 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
8.097 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.097 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.098 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.098 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.098 * [taylor]: Taking taylor expansion of im in im
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 1 into 1
8.098 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.098 * [taylor]: Taking taylor expansion of re in im
8.098 * [backup-simplify]: Simplify re into re
8.098 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.098 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.098 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.098 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.099 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [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 (* im im) into (pow im 2)
8.099 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.099 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.099 * [backup-simplify]: Simplify (+ 0 0) into 0
8.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.100 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.100 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.100 * [taylor]: Taking taylor expansion of im in re
8.100 * [backup-simplify]: Simplify im into im
8.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.100 * [taylor]: Taking taylor expansion of re in re
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.100 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.100 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.100 * [backup-simplify]: Simplify (+ 0 0) into 0
8.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.101 * [taylor]: Taking taylor expansion of im in im
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [taylor]: Taking taylor expansion of 0 in im
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.101 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.102 * [backup-simplify]: Simplify (* 1 1) into 1
8.102 * [backup-simplify]: Simplify (+ 0 1) into 1
8.103 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.103 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.103 * [taylor]: Taking taylor expansion of 1/2 in im
8.103 * [backup-simplify]: Simplify 1/2 into 1/2
8.103 * [taylor]: Taking taylor expansion of im in im
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify 1 into 1
8.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.107 * [backup-simplify]: Simplify (+ 0 0) into 0
8.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.107 * [taylor]: Taking taylor expansion of 0 in im
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.108 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.108 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.109 * [taylor]: Taking taylor expansion of re in im
8.109 * [backup-simplify]: Simplify re into re
8.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.109 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.109 * [taylor]: Taking taylor expansion of im in im
8.109 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify 1 into 1
8.109 * [backup-simplify]: Simplify (* 1 1) into 1
8.110 * [backup-simplify]: Simplify (/ 1 1) into 1
8.110 * [backup-simplify]: Simplify (+ 0 1) into 1
8.110 * [backup-simplify]: Simplify (sqrt 1) into 1
8.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.112 * [backup-simplify]: Simplify (+ 0 0) into 0
8.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.113 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.113 * [taylor]: Taking taylor expansion of re in re
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 1 into 1
8.113 * [backup-simplify]: Simplify (* 1 1) into 1
8.114 * [backup-simplify]: Simplify (/ 1 1) into 1
8.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.114 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.114 * [taylor]: Taking taylor expansion of im in re
8.114 * [backup-simplify]: Simplify im into im
8.114 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.114 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.115 * [backup-simplify]: Simplify (+ 1 0) into 1
8.115 * [backup-simplify]: Simplify (sqrt 1) into 1
8.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.117 * [backup-simplify]: Simplify (+ 0 0) into 0
8.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.117 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.117 * [taylor]: Taking taylor expansion of re in re
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.118 * [backup-simplify]: Simplify (* 1 1) into 1
8.118 * [backup-simplify]: Simplify (/ 1 1) into 1
8.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.118 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.118 * [taylor]: Taking taylor expansion of im in re
8.118 * [backup-simplify]: Simplify im into im
8.118 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.119 * [backup-simplify]: Simplify (+ 1 0) into 1
8.119 * [backup-simplify]: Simplify (sqrt 1) into 1
8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.121 * [backup-simplify]: Simplify (+ 0 0) into 0
8.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.122 * [taylor]: Taking taylor expansion of 1 in im
8.122 * [backup-simplify]: Simplify 1 into 1
8.122 * [taylor]: Taking taylor expansion of 0 in im
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.124 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) 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
8.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.130 * [backup-simplify]: Simplify (+ 0 0) into 0
8.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.131 * [taylor]: Taking taylor expansion of 0 in im
8.131 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.133 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.133 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.133 * [taylor]: Taking taylor expansion of re in im
8.133 * [backup-simplify]: Simplify re into re
8.133 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.134 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
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
8.135 * [backup-simplify]: Simplify (+ 0 1) into 1
8.135 * [backup-simplify]: Simplify (sqrt 1) into 1
8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.136 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.138 * [taylor]: Taking taylor expansion of re in re
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 1 into 1
8.138 * [backup-simplify]: Simplify (* 1 1) into 1
8.138 * [backup-simplify]: Simplify (/ 1 1) into 1
8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.139 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.139 * [taylor]: Taking taylor expansion of im in re
8.139 * [backup-simplify]: Simplify im into im
8.139 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1
8.140 * [backup-simplify]: Simplify (sqrt 1) into 1
8.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.141 * [backup-simplify]: Simplify (+ 0 0) into 0
8.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.142 * [taylor]: Taking taylor expansion of re in re
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.143 * [backup-simplify]: Simplify (/ 1 1) into 1
8.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.143 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.143 * [taylor]: Taking taylor expansion of im in re
8.143 * [backup-simplify]: Simplify im into im
8.143 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.143 * [backup-simplify]: Simplify (+ 1 0) into 1
8.144 * [backup-simplify]: Simplify (sqrt 1) into 1
8.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.146 * [backup-simplify]: Simplify (+ 0 0) into 0
8.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.146 * [taylor]: Taking taylor expansion of 1 in im
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [taylor]: Taking taylor expansion of 0 in im
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.150 * [taylor]: Taking taylor expansion of 1/2 in im
8.150 * [backup-simplify]: Simplify 1/2 into 1/2
8.150 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.150 * [taylor]: Taking taylor expansion of im in im
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.151 * [backup-simplify]: Simplify (* 1 1) into 1
8.151 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.157 * [taylor]: Taking taylor expansion of 0 in im
8.157 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
8.160 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
8.160 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
8.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
8.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.160 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.160 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.160 * [taylor]: Taking taylor expansion of im in im
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.160 * [taylor]: Taking taylor expansion of re in im
8.160 * [backup-simplify]: Simplify re into re
8.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.160 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.160 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.160 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.161 * [backup-simplify]: Simplify (+ 0 0) into 0
8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.161 * [taylor]: Taking taylor expansion of re in im
8.161 * [backup-simplify]: Simplify re into re
8.161 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.161 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.161 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.161 * [taylor]: Taking taylor expansion of im in re
8.161 * [backup-simplify]: Simplify im into im
8.161 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.161 * [taylor]: Taking taylor expansion of re in re
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 1 into 1
8.161 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.161 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.161 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.162 * [backup-simplify]: Simplify (+ 0 0) into 0
8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.162 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.162 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.162 * [taylor]: Taking taylor expansion of im in re
8.162 * [backup-simplify]: Simplify im into im
8.162 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.162 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.162 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.163 * [backup-simplify]: Simplify (+ 0 0) into 0
8.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.163 * [taylor]: Taking taylor expansion of re in re
8.163 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify 1 into 1
8.164 * [backup-simplify]: Simplify (- 0) into 0
8.164 * [backup-simplify]: Simplify (+ im 0) into im
8.164 * [taylor]: Taking taylor expansion of im in im
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify 1 into 1
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify (- 1) into -1
8.164 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.165 * [taylor]: Taking taylor expansion of -1 in im
8.165 * [backup-simplify]: Simplify -1 into -1
8.165 * [backup-simplify]: Simplify -1 into -1
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.165 * [backup-simplify]: Simplify (* 1 1) into 1
8.166 * [backup-simplify]: Simplify (+ 0 1) into 1
8.167 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.167 * [backup-simplify]: Simplify (- 0) into 0
8.167 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.167 * [taylor]: Taking taylor expansion of 1/2 in im
8.167 * [backup-simplify]: Simplify 1/2 into 1/2
8.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.167 * [taylor]: Taking taylor expansion of im in im
8.167 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify (/ 1 1) into 1
8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 1/2 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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.172 * [backup-simplify]: Simplify (- 0) into 0
8.172 * [backup-simplify]: Simplify (+ 0 0) into 0
8.172 * [taylor]: Taking taylor expansion of 0 in im
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.175 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re))
8.175 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.175 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.175 * [taylor]: Taking taylor expansion of re in im
8.175 * [backup-simplify]: Simplify re into re
8.175 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.175 * [taylor]: Taking taylor expansion of im in im
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
8.176 * [backup-simplify]: Simplify (/ 1 1) into 1
8.176 * [backup-simplify]: Simplify (+ 0 1) into 1
8.177 * [backup-simplify]: Simplify (sqrt 1) into 1
8.177 * [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) in im
8.179 * [taylor]: Taking taylor expansion of re in im
8.179 * [backup-simplify]: Simplify re into re
8.179 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
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
8.180 * [backup-simplify]: Simplify (/ 1 1) into 1
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
8.181 * [backup-simplify]: Simplify im into im
8.181 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.181 * [backup-simplify]: Simplify (+ 1 0) into 1
8.181 * [backup-simplify]: Simplify (sqrt 1) into 1
8.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.183 * [backup-simplify]: Simplify (+ 0 0) into 0
8.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.184 * [taylor]: Taking taylor expansion of re in re
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 1 into 1
8.184 * [backup-simplify]: Simplify (/ 1 1) into 1
8.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.184 * [taylor]: Taking taylor expansion of re in re
8.184 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.185 * [backup-simplify]: Simplify (/ 1 1) into 1
8.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.185 * [taylor]: Taking taylor expansion of im in re
8.185 * [backup-simplify]: Simplify im into im
8.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.186 * [backup-simplify]: Simplify (+ 1 0) into 1
8.186 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0
8.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.189 * [taylor]: Taking taylor expansion of re in re
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (/ 1 1) into 1
8.189 * [backup-simplify]: Simplify (- 1) into -1
8.190 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.190 * [taylor]: Taking taylor expansion of 0 in im
8.190 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.191 * [backup-simplify]: Simplify (- 0) 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
8.191 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.193 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.196 * [backup-simplify]: Simplify (- 0) into 0
8.196 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.196 * [taylor]: Taking taylor expansion of 1/2 in im
8.196 * [backup-simplify]: Simplify 1/2 into 1/2
8.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.196 * [taylor]: Taking taylor expansion of (pow im 2) in 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
8.197 * [backup-simplify]: Simplify (* 1 1) into 1
8.197 * [backup-simplify]: Simplify (/ 1 1) into 1
8.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.202 * [backup-simplify]: Simplify (+ 0 0) into 0
8.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (- 0) into 0
8.204 * [backup-simplify]: Simplify (+ 0 0) into 0
8.204 * [taylor]: Taking taylor expansion of 0 in im
8.204 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 0 into 0
8.208 * [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 re 2)) (/ 1 (pow im 2)))))
8.208 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.208 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.208 * [taylor]: Taking taylor expansion of re in im
8.208 * [backup-simplify]: Simplify re into re
8.208 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.208 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.208 * [taylor]: Taking taylor expansion of re in im
8.208 * [backup-simplify]: Simplify re into re
8.209 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.209 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.209 * [taylor]: Taking taylor expansion of im in im
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.209 * [backup-simplify]: Simplify (* 1 1) into 1
8.209 * [backup-simplify]: Simplify (/ 1 1) into 1
8.210 * [backup-simplify]: Simplify (+ 0 1) into 1
8.210 * [backup-simplify]: Simplify (sqrt 1) into 1
8.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.212 * [backup-simplify]: Simplify (+ 0 0) into 0
8.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.213 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.213 * [taylor]: Taking taylor expansion of re in re
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify 1 into 1
8.213 * [backup-simplify]: Simplify (/ 1 1) into 1
8.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.213 * [taylor]: Taking taylor expansion of re in re
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify 1 into 1
8.214 * [backup-simplify]: Simplify (* 1 1) into 1
8.214 * [backup-simplify]: Simplify (/ 1 1) into 1
8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.214 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.214 * [taylor]: Taking taylor expansion of im in re
8.215 * [backup-simplify]: Simplify im into im
8.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.215 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.215 * [backup-simplify]: Simplify (+ 1 0) into 1
8.215 * [backup-simplify]: Simplify (sqrt 1) into 1
8.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.218 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.218 * [taylor]: Taking taylor expansion of re in re
8.218 * [backup-simplify]: Simplify 0 into 0
8.218 * [backup-simplify]: Simplify 1 into 1
8.218 * [backup-simplify]: Simplify (/ 1 1) into 1
8.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.218 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.219 * [taylor]: Taking taylor expansion of re in re
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify 1 into 1
8.219 * [backup-simplify]: Simplify (* 1 1) into 1
8.219 * [backup-simplify]: Simplify (/ 1 1) into 1
8.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.219 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.219 * [taylor]: Taking taylor expansion of im in re
8.219 * [backup-simplify]: Simplify im into im
8.219 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.219 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.220 * [backup-simplify]: Simplify (+ 1 0) into 1
8.220 * [backup-simplify]: Simplify (sqrt 1) into 1
8.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (+ 0 0) into 0
8.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.222 * [backup-simplify]: Simplify (+ 1 1) into 2
8.222 * [taylor]: Taking taylor expansion of 2 in im
8.222 * [backup-simplify]: Simplify 2 into 2
8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.222 * [backup-simplify]: Simplify (+ 0 0) into 0
8.222 * [taylor]: Taking taylor expansion of 0 in im
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 2 into 2
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.225 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.225 * [taylor]: Taking taylor expansion of 1/2 in im
8.225 * [backup-simplify]: Simplify 1/2 into 1/2
8.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.225 * [taylor]: Taking taylor expansion of im in im
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.225 * [backup-simplify]: Simplify (* 1 1) into 1
8.226 * [backup-simplify]: Simplify (/ 1 1) into 1
8.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.234 * [backup-simplify]: Simplify (+ 0 0) into 0
8.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.235 * [backup-simplify]: Simplify (+ 0 0) into 0
8.235 * [taylor]: Taking taylor expansion of 0 in im
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.237 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
8.237 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
8.237 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.237 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.237 * [taylor]: Taking taylor expansion of im in im
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
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 (+ 0 (pow re 2)) into (pow re 2)
8.237 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.237 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.237 * [backup-simplify]: Simplify (+ 0 0) into 0
8.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.238 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.238 * [taylor]: Taking taylor expansion of im in re
8.238 * [backup-simplify]: Simplify im into im
8.238 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.238 * [taylor]: Taking taylor expansion of re in re
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 1 into 1
8.238 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.238 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.238 * [backup-simplify]: Simplify (+ 0 0) into 0
8.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.238 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.238 * [taylor]: Taking taylor expansion of im in re
8.238 * [backup-simplify]: Simplify im into im
8.238 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.238 * [taylor]: Taking taylor expansion of re in re
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 1 into 1
8.238 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.238 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.239 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.239 * [backup-simplify]: Simplify (+ 0 0) into 0
8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.239 * [taylor]: Taking taylor expansion of im in im
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [taylor]: Taking taylor expansion of 0 in im
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.240 * [backup-simplify]: Simplify (* 1 1) into 1
8.240 * [backup-simplify]: Simplify (+ 0 1) into 1
8.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.240 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.240 * [taylor]: Taking taylor expansion of 1/2 in im
8.240 * [backup-simplify]: Simplify 1/2 into 1/2
8.240 * [taylor]: Taking taylor expansion of im in im
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.241 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.242 * [backup-simplify]: Simplify (+ 0 0) into 0
8.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.243 * [taylor]: Taking taylor expansion of 0 in im
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.244 * [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 re 2)) (/ 1 (pow im 2))))
8.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.244 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.244 * [taylor]: Taking taylor expansion of re in im
8.244 * [backup-simplify]: Simplify re into re
8.244 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.244 * [taylor]: Taking taylor expansion of im in im
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (* 1 1) into 1
8.245 * [backup-simplify]: Simplify (/ 1 1) into 1
8.245 * [backup-simplify]: Simplify (+ 0 1) into 1
8.245 * [backup-simplify]: Simplify (sqrt 1) into 1
8.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ 0 0) into 0
8.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.247 * [taylor]: Taking taylor expansion of re in re
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.247 * [backup-simplify]: Simplify (* 1 1) into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
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
8.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.248 * [backup-simplify]: Simplify (+ 1 0) into 1
8.248 * [backup-simplify]: Simplify (sqrt 1) into 1
8.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.249 * [backup-simplify]: Simplify (+ 0 0) into 0
8.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.250 * [taylor]: Taking taylor expansion of re in re
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [backup-simplify]: Simplify (* 1 1) into 1
8.250 * [backup-simplify]: Simplify (/ 1 1) into 1
8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.250 * [taylor]: Taking taylor expansion of im in re
8.250 * [backup-simplify]: Simplify im into im
8.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.251 * [backup-simplify]: Simplify (+ 1 0) into 1
8.251 * [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
8.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.253 * [taylor]: Taking taylor expansion of 1 in im
8.253 * [backup-simplify]: Simplify 1 into 1
8.253 * [taylor]: Taking taylor expansion of 0 in im
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.255 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.255 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.255 * [taylor]: Taking taylor expansion of 1/2 in im
8.255 * [backup-simplify]: Simplify 1/2 into 1/2
8.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.255 * [taylor]: Taking taylor expansion of im in im
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 1 into 1
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 0 into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.258 * [backup-simplify]: Simplify (+ 0 0) into 0
8.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.258 * [taylor]: Taking taylor expansion of 0 in im
8.258 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.260 * [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 re 2)) (/ 1 (pow im 2))))
8.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.260 * [taylor]: Taking taylor expansion of re in im
8.260 * [backup-simplify]: Simplify re into re
8.260 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.260 * [taylor]: Taking taylor expansion of im in im
8.260 * [backup-simplify]: Simplify 0 into 0
8.260 * [backup-simplify]: Simplify 1 into 1
8.260 * [backup-simplify]: Simplify (* 1 1) into 1
8.261 * [backup-simplify]: Simplify (/ 1 1) into 1
8.261 * [backup-simplify]: Simplify (+ 0 1) into 1
8.261 * [backup-simplify]: Simplify (sqrt 1) into 1
8.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.262 * [backup-simplify]: Simplify (+ 0 0) into 0
8.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.263 * [taylor]: Taking taylor expansion of re in re
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.263 * [backup-simplify]: Simplify (* 1 1) into 1
8.263 * [backup-simplify]: Simplify (/ 1 1) into 1
8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.263 * [taylor]: Taking taylor expansion of im in re
8.263 * [backup-simplify]: Simplify im into im
8.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.264 * [backup-simplify]: Simplify (+ 1 0) into 1
8.264 * [backup-simplify]: Simplify (sqrt 1) into 1
8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.265 * [backup-simplify]: Simplify (+ 0 0) into 0
8.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.266 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.266 * [taylor]: Taking taylor expansion of re in re
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 1 into 1
8.266 * [backup-simplify]: Simplify (* 1 1) into 1
8.266 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.266 * [taylor]: Taking taylor expansion of im in re
8.266 * [backup-simplify]: Simplify im into im
8.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.267 * [backup-simplify]: Simplify (+ 1 0) into 1
8.267 * [backup-simplify]: Simplify (sqrt 1) into 1
8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (+ 0 0) into 0
8.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.269 * [taylor]: Taking taylor expansion of 1 in im
8.269 * [backup-simplify]: Simplify 1 into 1
8.269 * [taylor]: Taking taylor expansion of 0 in im
8.269 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify 1 into 1
8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.271 * [taylor]: Taking taylor expansion of 1/2 in im
8.271 * [backup-simplify]: Simplify 1/2 into 1/2
8.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.271 * [taylor]: Taking taylor expansion of im in im
8.271 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify 1 into 1
8.271 * [backup-simplify]: Simplify (* 1 1) into 1
8.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.272 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.274 * [backup-simplify]: Simplify (+ 0 0) into 0
8.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.274 * [taylor]: Taking taylor expansion of 0 in im
8.274 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.276 * * * [progress]: simplifying candidates
8.276 * * * * [progress]: [ 1 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
8.276 * * * * [progress]: [ 2 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
8.276 * * * * [progress]: [ 3 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 4 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 5 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 6 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 7 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 8 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.276 * * * * [progress]: [ 9 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
8.276 * * * * [progress]: [ 10 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
8.276 * * * * [progress]: [ 11 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
8.276 * * * * [progress]: [ 12 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
8.276 * * * * [progress]: [ 13 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.277 * * * * [progress]: [ 14 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
8.277 * * * * [progress]: [ 15 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
8.277 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
8.277 * * * * [progress]: [ 17 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 18 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 19 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 20 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 21 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 22 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 23 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 24 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 25 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 26 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 27 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 28 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 29 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 30 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 31 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.277 * * * * [progress]: [ 33 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)))))))>
8.277 * * * * [progress]: [ 34 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 1)))))>
8.277 * * * * [progress]: [ 35 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
8.277 * * * * [progress]: [ 36 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
8.278 * * * * [progress]: [ 37 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (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)))))))>
8.278 * * * * [progress]: [ 38 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (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)))))))>
8.278 * * * * [progress]: [ 39 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (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)))))))>
8.278 * * * * [progress]: [ 40 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (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))))))))>
8.278 * * * * [progress]: [ 41 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
8.278 * * * * [progress]: [ 42 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
8.278 * * * * [progress]: [ 43 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (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))))))>
8.278 * * * * [progress]: [ 44 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))>
8.278 * * * * [progress]: [ 45 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (- re))))))>
8.278 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
8.278 * * * * [progress]: [ 47 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re)))))>
8.278 * * * * [progress]: [ 48 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re)))))>
8.278 * * * * [progress]: [ 49 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
8.278 * * * * [progress]: [ 50 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re)))))>
8.278 * * * * [progress]: [ 51 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re)))))>
8.278 * * * * [progress]: [ 52 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re)))))>
8.278 * * * * [progress]: [ 53 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re)))))>
8.278 * * * * [progress]: [ 54 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re)))))>
8.278 * * * * [progress]: [ 55 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re)))))>
8.278 * * * * [progress]: [ 56 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 1/2) re)))))>
8.278 * * * * [progress]: [ 57 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
8.278 * * * * [progress]: [ 58 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re)))))>
8.279 * * * * [progress]: [ 59 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (/ 1 2)) re)))))>
8.279 * * * * [progress]: [ 60 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re)))))>
8.279 * * * * [progress]: [ 61 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
8.279 * * * * [progress]: [ 62 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
8.279 * * * * [progress]: [ 63 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
8.279 * * * * [progress]: [ 64 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 65 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 66 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 67 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 68 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 69 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 70 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
8.279 * * * * [progress]: [ 71 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 72 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
8.279 * * * * [progress]: [ 73 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
8.279 * * * * [progress]: [ 74 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
8.279 * * * * [progress]: [ 75 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
8.279 * * * * [progress]: [ 76 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
8.279 * * * * [progress]: [ 77 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.279 * * * * [progress]: [ 78 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.279 * * * * [progress]: [ 79 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 80 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 81 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 82 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 83 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 84 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.280 * * * * [progress]: [ 85 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 86 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 87 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 88 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.280 * * * * [progress]: [ 89 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 90 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 91 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 92 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.280 * * * * [progress]: [ 93 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 94 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 95 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 96 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 97 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.280 * * * * [progress]: [ 98 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.281 * * * * [progress]: [ 99 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.281 * * * * [progress]: [ 100 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.281 * * * * [progress]: [ 101 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.281 * * * * [progress]: [ 102 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re)))))>
8.281 * * * * [progress]: [ 103 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re)))))>
8.281 * * * * [progress]: [ 104 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re)))))>
8.281 * * * * [progress]: [ 105 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re)))))>
8.281 * * * * [progress]: [ 106 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re)))))>
8.281 * * * * [progress]: [ 107 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 108 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 109 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 111 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.281 * * * * [progress]: [ 112 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 113 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.281 * * * * [progress]: [ 114 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 115 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.281 * * * * [progress]: [ 116 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 117 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 118 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 119 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.281 * * * * [progress]: [ 120 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.282 * * * * [progress]: [ 121 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.282 * * * * [progress]: [ 122 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.282 * * * * [progress]: [ 123 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.282 * * * * [progress]: [ 124 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
8.282 * * * * [progress]: [ 125 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
8.282 * * * * [progress]: [ 126 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 127 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
8.282 * * * * [progress]: [ 128 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (posit16->real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.282 * * * * [progress]: [ 130 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 131 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re)))))>
8.282 * * * * [progress]: [ 132 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))>
8.282 * * * * [progress]: [ 133 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* -1 re))) re)))))>
8.282 * * * * [progress]: [ 134 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 135 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 136 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* -1 re)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.282 * * * * [progress]: [ 137 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
8.282 * * * * [progress]: [ 138 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
8.282 * * * * [progress]: [ 139 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
8.282 * * * * [progress]: [ 140 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
8.282 * * * * [progress]: [ 141 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))>
8.282 * * * * [progress]: [ 142 / 142 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))>
8.284 * [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)))), (real->posit16 (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)))), (real->posit16 (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), (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)), (+ 1/2 1/2), (+ 1/2 (/ 1 2)), (+ 1 1), (+ (/ 1/2 2) (/ 1/2 2)), (+ (/ 1/2 2) (/ (/ 1 2) 2)), (+ (/ 1 2) 1/2), (+ (/ 1 2) (/ 1 2)), (+ (/ (/ 1 2) 2) (/ 1/2 2)), (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (+ (* re re) (* im im)) (+ (* re re) (* im im))), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (* (+ (* re re) (* im im)) (+ (* re re) (* im im))), (+ 1 1), (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))), (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))), (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))), (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))), (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))), (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt 1)) (sqrt (sqrt 1))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt 1) (sqrt 1)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* 1 1), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* 2 1/2), (* 2 1), (* 2 (/ 1/2 2)), (* 2 (/ 1 2)), (* 2 (/ (/ 1 2) 2)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) 1), (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))), (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))), (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))), (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))), (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))), im, re, (* -1 re), im, re, (* -1 re), (- im re), 0, (* -2 re), im, re, (* -1 re)
8.286 * * [simplify]: iteration 1: (141 enodes)
8.361 * * [simplify]: iteration 2: (504 enodes)
8.487 * * [simplify]: iteration 3: (883 enodes)
8.798 * * [simplify]: iteration 4: (1963 enodes)
10.510 * * [simplify]: Extracting #0: cost 50 inf + 0
10.511 * * [simplify]: Extracting #1: cost 357 inf + 130
10.518 * * [simplify]: Extracting #2: cost 905 inf + 3201
10.534 * * [simplify]: Extracting #3: cost 1379 inf + 23037
10.588 * * [simplify]: Extracting #4: cost 932 inf + 180771
10.731 * * [simplify]: Extracting #5: cost 103 inf + 516387
10.908 * * [simplify]: Extracting #6: cost 0 inf + 561910
11.091 * * [simplify]: Extracting #7: cost 0 inf + 561750
11.288 * * [simplify]: Extracting #8: cost 0 inf + 561630
11.445 * [simplify]: Simplified to (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (real->posit16 (sqrt (+ (* im im) (* re re)))), (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (real->posit16 (sqrt (+ (* im im) (* re re)))), (exp (- (sqrt (+ (* im im) (* re re))) re)), (log (- (sqrt (+ (* im im) (* re re))) re)), (exp (- (sqrt (+ (* im im) (* re re))) re)), (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))), (cbrt (- (sqrt (+ (* im im) (* re re))) re)), (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))), (sqrt (- (sqrt (+ (* im im) (* re re))) re)), (sqrt (- (sqrt (+ (* im im) (* re re))) re)), (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))), (+ (* re re) (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt (+ (* im im) (* re re))))), (- re), (* im im), (+ (sqrt (+ (* im im) (* re re))) re), (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))), (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)), (- re), (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)), 1, 1, 2, 1/2, 1/2, 1, 1, 1/2, 1/2, (+ (* im im) (* re re)), (sqrt (+ (* im im) (* re re))), (* (+ (* im im) (* re re)) (+ (* im im) (* re re))), (+ (* im im) (* re re)), (* (+ (* im im) (* re re)) (+ (* im im) (* re re))), 2, (log (sqrt (+ (* im im) (* re re)))), (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (+ (* im im) (* re re)), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re)))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re))))) (sqrt (sqrt (- (* re re) (* im im))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re))))) (sqrt (sqrt (- (* re re) (* im im))))), (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im)))), (sqrt (- (* re re) (* im im))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, 2, 1/2, 1, 1/2, (* (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))), (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (fabs (cbrt (+ (* im im) (* re re)))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re)))))), (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))), (sqrt (+ (* im im) (* re re))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))), (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))))), (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))), (real->posit16 (sqrt (+ (* im im) (* re re)))), im, re, (- re), im, re, (- re), (- im re), 0, (* -2 re), im, re, (- re)
11.478 * * * [progress]: adding candidates to table
13.114 * * [progress]: iteration 4 / 4
13.114 * * * [progress]: picking best candidate
13.142 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (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)))))))>
13.142 * * * [progress]: localizing error
13.207 * * * [progress]: generating rewritten candidates
13.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1)
13.226 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
13.239 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2 1)
13.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2)
13.286 * * * [progress]: generating series expansions
13.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1)
13.286 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
13.286 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
13.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
13.286 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
13.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.286 * [taylor]: Taking taylor expansion of im in im
13.286 * [backup-simplify]: Simplify 0 into 0
13.286 * [backup-simplify]: Simplify 1 into 1
13.286 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.286 * [taylor]: Taking taylor expansion of re in im
13.286 * [backup-simplify]: Simplify re into re
13.286 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.286 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
13.286 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.286 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.287 * [backup-simplify]: Simplify (+ 0 0) into 0
13.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.287 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.287 * [taylor]: Taking taylor expansion of im in re
13.287 * [backup-simplify]: Simplify im into im
13.287 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.287 * [taylor]: Taking taylor expansion of re in re
13.287 * [backup-simplify]: Simplify 0 into 0
13.287 * [backup-simplify]: Simplify 1 into 1
13.287 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.287 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.287 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.287 * [backup-simplify]: Simplify (+ 0 0) into 0
13.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.288 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.288 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.288 * [taylor]: Taking taylor expansion of im in re
13.288 * [backup-simplify]: Simplify im into im
13.288 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.288 * [taylor]: Taking taylor expansion of re in re
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 1 into 1
13.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.288 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.288 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.288 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.288 * [backup-simplify]: Simplify (+ 0 0) into 0
13.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.288 * [taylor]: Taking taylor expansion of im in im
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 1 into 1
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [taylor]: Taking taylor expansion of 0 in im
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 1 into 1
13.289 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.289 * [backup-simplify]: Simplify (* 1 1) into 1
13.289 * [backup-simplify]: Simplify (+ 0 1) into 1
13.290 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.290 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
13.290 * [taylor]: Taking taylor expansion of 1/2 in im
13.290 * [backup-simplify]: Simplify 1/2 into 1/2
13.290 * [taylor]: Taking taylor expansion of im in im
13.290 * [backup-simplify]: Simplify 0 into 0
13.290 * [backup-simplify]: Simplify 1 into 1
13.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.292 * [backup-simplify]: Simplify (+ 0 0) into 0
13.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.293 * [taylor]: Taking taylor expansion of 0 in im
13.293 * [backup-simplify]: Simplify 0 into 0
13.293 * [backup-simplify]: Simplify 0 into 0
13.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.294 * [backup-simplify]: Simplify 0 into 0
13.294 * [backup-simplify]: Simplify 0 into 0
13.294 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
13.294 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.294 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.294 * [taylor]: Taking taylor expansion of re in im
13.294 * [backup-simplify]: Simplify re into re
13.294 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.294 * [taylor]: Taking taylor expansion of im in im
13.294 * [backup-simplify]: Simplify 0 into 0
13.294 * [backup-simplify]: Simplify 1 into 1
13.295 * [backup-simplify]: Simplify (* 1 1) into 1
13.295 * [backup-simplify]: Simplify (/ 1 1) into 1
13.296 * [backup-simplify]: Simplify (+ 0 1) into 1
13.296 * [backup-simplify]: Simplify (sqrt 1) into 1
13.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.298 * [backup-simplify]: Simplify (+ 0 0) into 0
13.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.299 * [taylor]: Taking taylor expansion of re in re
13.299 * [backup-simplify]: Simplify 0 into 0
13.299 * [backup-simplify]: Simplify 1 into 1
13.299 * [backup-simplify]: Simplify (* 1 1) into 1
13.299 * [backup-simplify]: Simplify (/ 1 1) into 1
13.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.299 * [taylor]: Taking taylor expansion of im in re
13.299 * [backup-simplify]: Simplify im into im
13.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.300 * [backup-simplify]: Simplify (+ 1 0) into 1
13.301 * [backup-simplify]: Simplify (sqrt 1) into 1
13.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.302 * [backup-simplify]: Simplify (+ 0 0) into 0
13.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.303 * [taylor]: Taking taylor expansion of re in re
13.303 * [backup-simplify]: Simplify 0 into 0
13.303 * [backup-simplify]: Simplify 1 into 1
13.304 * [backup-simplify]: Simplify (* 1 1) into 1
13.304 * [backup-simplify]: Simplify (/ 1 1) into 1
13.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.304 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.304 * [taylor]: Taking taylor expansion of im in re
13.304 * [backup-simplify]: Simplify im into im
13.304 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.305 * [backup-simplify]: Simplify (+ 1 0) into 1
13.305 * [backup-simplify]: Simplify (sqrt 1) into 1
13.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.307 * [backup-simplify]: Simplify (+ 0 0) into 0
13.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.308 * [taylor]: Taking taylor expansion of 1 in im
13.308 * [backup-simplify]: Simplify 1 into 1
13.308 * [taylor]: Taking taylor expansion of 0 in im
13.308 * [backup-simplify]: Simplify 0 into 0
13.308 * [backup-simplify]: Simplify 1 into 1
13.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.310 * [taylor]: Taking taylor expansion of 1/2 in im
13.310 * [backup-simplify]: Simplify 1/2 into 1/2
13.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.310 * [taylor]: Taking taylor expansion of im in im
13.310 * [backup-simplify]: Simplify 0 into 0
13.310 * [backup-simplify]: Simplify 1 into 1
13.310 * [backup-simplify]: Simplify (* 1 1) into 1
13.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.311 * [backup-simplify]: Simplify 0 into 0
13.311 * [backup-simplify]: Simplify 0 into 0
13.311 * [backup-simplify]: Simplify 0 into 0
13.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.313 * [backup-simplify]: Simplify (+ 0 0) into 0
13.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.313 * [taylor]: Taking taylor expansion of 0 in im
13.313 * [backup-simplify]: Simplify 0 into 0
13.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.317 * [backup-simplify]: Simplify 0 into 0
13.317 * [backup-simplify]: Simplify 0 into 0
13.317 * [backup-simplify]: Simplify 0 into 0
13.317 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
13.317 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.317 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.317 * [taylor]: Taking taylor expansion of re in im
13.317 * [backup-simplify]: Simplify re into re
13.317 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.317 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.317 * [taylor]: Taking taylor expansion of im in im
13.317 * [backup-simplify]: Simplify 0 into 0
13.317 * [backup-simplify]: Simplify 1 into 1
13.318 * [backup-simplify]: Simplify (* 1 1) into 1
13.318 * [backup-simplify]: Simplify (/ 1 1) into 1
13.318 * [backup-simplify]: Simplify (+ 0 1) into 1
13.318 * [backup-simplify]: Simplify (sqrt 1) into 1
13.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.320 * [backup-simplify]: Simplify (+ 0 0) into 0
13.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.320 * [taylor]: Taking taylor expansion of re in re
13.320 * [backup-simplify]: Simplify 0 into 0
13.320 * [backup-simplify]: Simplify 1 into 1
13.320 * [backup-simplify]: Simplify (* 1 1) into 1
13.321 * [backup-simplify]: Simplify (/ 1 1) into 1
13.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.321 * [taylor]: Taking taylor expansion of im in re
13.321 * [backup-simplify]: Simplify im into im
13.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.321 * [backup-simplify]: Simplify (+ 1 0) into 1
13.321 * [backup-simplify]: Simplify (sqrt 1) into 1
13.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.322 * [backup-simplify]: Simplify (+ 0 0) into 0
13.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.323 * [taylor]: Taking taylor expansion of re in re
13.323 * [backup-simplify]: Simplify 0 into 0
13.323 * [backup-simplify]: Simplify 1 into 1
13.323 * [backup-simplify]: Simplify (* 1 1) into 1
13.323 * [backup-simplify]: Simplify (/ 1 1) into 1
13.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.323 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.323 * [taylor]: Taking taylor expansion of im in re
13.323 * [backup-simplify]: Simplify im into im
13.323 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.324 * [backup-simplify]: Simplify (+ 1 0) into 1
13.324 * [backup-simplify]: Simplify (sqrt 1) into 1
13.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.325 * [backup-simplify]: Simplify (+ 0 0) into 0
13.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.326 * [taylor]: Taking taylor expansion of 1 in im
13.326 * [backup-simplify]: Simplify 1 into 1
13.326 * [taylor]: Taking taylor expansion of 0 in im
13.326 * [backup-simplify]: Simplify 0 into 0
13.326 * [backup-simplify]: Simplify 1 into 1
13.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.327 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.328 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.328 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.328 * [taylor]: Taking taylor expansion of 1/2 in im
13.328 * [backup-simplify]: Simplify 1/2 into 1/2
13.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.328 * [taylor]: Taking taylor expansion of im in im
13.328 * [backup-simplify]: Simplify 0 into 0
13.328 * [backup-simplify]: Simplify 1 into 1
13.329 * [backup-simplify]: Simplify (* 1 1) into 1
13.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.330 * [backup-simplify]: Simplify 0 into 0
13.330 * [backup-simplify]: Simplify 0 into 0
13.330 * [backup-simplify]: Simplify 0 into 0
13.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.332 * [backup-simplify]: Simplify (+ 0 0) into 0
13.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.332 * [taylor]: Taking taylor expansion of 0 in im
13.332 * [backup-simplify]: Simplify 0 into 0
13.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.334 * [backup-simplify]: Simplify 0 into 0
13.334 * [backup-simplify]: Simplify 0 into 0
13.334 * [backup-simplify]: Simplify 0 into 0
13.334 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
13.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
13.334 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
13.334 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
13.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
13.334 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
13.334 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.334 * [taylor]: Taking taylor expansion of im in im
13.334 * [backup-simplify]: Simplify 0 into 0
13.334 * [backup-simplify]: Simplify 1 into 1
13.334 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.334 * [taylor]: Taking taylor expansion of re in im
13.334 * [backup-simplify]: Simplify re into re
13.334 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.334 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
13.334 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.334 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.334 * [backup-simplify]: Simplify (+ 0 0) into 0
13.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.335 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.335 * [taylor]: Taking taylor expansion of im in re
13.335 * [backup-simplify]: Simplify im into im
13.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.335 * [taylor]: Taking taylor expansion of re in re
13.335 * [backup-simplify]: Simplify 0 into 0
13.335 * [backup-simplify]: Simplify 1 into 1
13.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.335 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.335 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.335 * [backup-simplify]: Simplify (+ 0 0) into 0
13.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.336 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.336 * [taylor]: Taking taylor expansion of im in re
13.336 * [backup-simplify]: Simplify im into im
13.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.336 * [taylor]: Taking taylor expansion of re in re
13.336 * [backup-simplify]: Simplify 0 into 0
13.336 * [backup-simplify]: Simplify 1 into 1
13.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.336 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.336 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.336 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.337 * [backup-simplify]: Simplify (+ 0 0) into 0
13.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.337 * [taylor]: Taking taylor expansion of im in im
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 1 into 1
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [taylor]: Taking taylor expansion of 0 in im
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 1 into 1
13.337 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.338 * [backup-simplify]: Simplify (* 1 1) into 1
13.338 * [backup-simplify]: Simplify (+ 0 1) into 1
13.339 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.339 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
13.339 * [taylor]: Taking taylor expansion of 1/2 in im
13.339 * [backup-simplify]: Simplify 1/2 into 1/2
13.339 * [taylor]: Taking taylor expansion of im in im
13.339 * [backup-simplify]: Simplify 0 into 0
13.339 * [backup-simplify]: Simplify 1 into 1
13.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.341 * [backup-simplify]: Simplify 0 into 0
13.341 * [backup-simplify]: Simplify 0 into 0
13.341 * [backup-simplify]: Simplify 0 into 0
13.342 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.342 * [backup-simplify]: Simplify (+ 0 0) into 0
13.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.343 * [taylor]: Taking taylor expansion of 0 in im
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.344 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
13.344 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.344 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.344 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.344 * [taylor]: Taking taylor expansion of re in im
13.344 * [backup-simplify]: Simplify re into re
13.345 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.345 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.345 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.345 * [taylor]: Taking taylor expansion of im in im
13.345 * [backup-simplify]: Simplify 0 into 0
13.345 * [backup-simplify]: Simplify 1 into 1
13.345 * [backup-simplify]: Simplify (* 1 1) into 1
13.346 * [backup-simplify]: Simplify (/ 1 1) into 1
13.346 * [backup-simplify]: Simplify (+ 0 1) into 1
13.346 * [backup-simplify]: Simplify (sqrt 1) into 1
13.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.348 * [backup-simplify]: Simplify (+ 0 0) into 0
13.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.349 * [taylor]: Taking taylor expansion of re in re
13.349 * [backup-simplify]: Simplify 0 into 0
13.349 * [backup-simplify]: Simplify 1 into 1
13.349 * [backup-simplify]: Simplify (* 1 1) into 1
13.350 * [backup-simplify]: Simplify (/ 1 1) into 1
13.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.350 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.350 * [taylor]: Taking taylor expansion of im in re
13.350 * [backup-simplify]: Simplify im into im
13.350 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.351 * [backup-simplify]: Simplify (+ 1 0) into 1
13.351 * [backup-simplify]: Simplify (sqrt 1) into 1
13.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.353 * [backup-simplify]: Simplify (+ 0 0) into 0
13.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.354 * [taylor]: Taking taylor expansion of re in re
13.354 * [backup-simplify]: Simplify 0 into 0
13.354 * [backup-simplify]: Simplify 1 into 1
13.354 * [backup-simplify]: Simplify (* 1 1) into 1
13.355 * [backup-simplify]: Simplify (/ 1 1) into 1
13.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.355 * [taylor]: Taking taylor expansion of im in re
13.355 * [backup-simplify]: Simplify im into im
13.355 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.356 * [backup-simplify]: Simplify (+ 1 0) into 1
13.356 * [backup-simplify]: Simplify (sqrt 1) into 1
13.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.358 * [backup-simplify]: Simplify (+ 0 0) into 0
13.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.359 * [taylor]: Taking taylor expansion of 1 in im
13.359 * [backup-simplify]: Simplify 1 into 1
13.359 * [taylor]: Taking taylor expansion of 0 in im
13.359 * [backup-simplify]: Simplify 0 into 0
13.359 * [backup-simplify]: Simplify 1 into 1
13.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.361 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.362 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.362 * [taylor]: Taking taylor expansion of 1/2 in im
13.362 * [backup-simplify]: Simplify 1/2 into 1/2
13.362 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.362 * [taylor]: Taking taylor expansion of im in im
13.362 * [backup-simplify]: Simplify 0 into 0
13.362 * [backup-simplify]: Simplify 1 into 1
13.363 * [backup-simplify]: Simplify (* 1 1) into 1
13.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.365 * [backup-simplify]: Simplify 0 into 0
13.365 * [backup-simplify]: Simplify 0 into 0
13.365 * [backup-simplify]: Simplify 0 into 0
13.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.368 * [backup-simplify]: Simplify (+ 0 0) into 0
13.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.368 * [taylor]: Taking taylor expansion of 0 in im
13.368 * [backup-simplify]: Simplify 0 into 0
13.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.370 * [backup-simplify]: Simplify 0 into 0
13.370 * [backup-simplify]: Simplify 0 into 0
13.370 * [backup-simplify]: Simplify 0 into 0
13.370 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
13.371 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.371 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.371 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.371 * [taylor]: Taking taylor expansion of re in im
13.371 * [backup-simplify]: Simplify re into re
13.371 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.371 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.371 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.371 * [taylor]: Taking taylor expansion of im in im
13.371 * [backup-simplify]: Simplify 0 into 0
13.371 * [backup-simplify]: Simplify 1 into 1
13.372 * [backup-simplify]: Simplify (* 1 1) into 1
13.372 * [backup-simplify]: Simplify (/ 1 1) into 1
13.373 * [backup-simplify]: Simplify (+ 0 1) into 1
13.373 * [backup-simplify]: Simplify (sqrt 1) into 1
13.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.375 * [backup-simplify]: Simplify (+ 0 0) into 0
13.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.375 * [taylor]: Taking taylor expansion of re in re
13.376 * [backup-simplify]: Simplify 0 into 0
13.376 * [backup-simplify]: Simplify 1 into 1
13.376 * [backup-simplify]: Simplify (* 1 1) into 1
13.376 * [backup-simplify]: Simplify (/ 1 1) into 1
13.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.376 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.376 * [taylor]: Taking taylor expansion of im in re
13.376 * [backup-simplify]: Simplify im into im
13.377 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.377 * [backup-simplify]: Simplify (+ 1 0) into 1
13.377 * [backup-simplify]: Simplify (sqrt 1) into 1
13.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.379 * [backup-simplify]: Simplify (+ 0 0) into 0
13.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.380 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.380 * [taylor]: Taking taylor expansion of re in re
13.380 * [backup-simplify]: Simplify 0 into 0
13.380 * [backup-simplify]: Simplify 1 into 1
13.380 * [backup-simplify]: Simplify (* 1 1) into 1
13.381 * [backup-simplify]: Simplify (/ 1 1) into 1
13.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.381 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.381 * [taylor]: Taking taylor expansion of im in re
13.381 * [backup-simplify]: Simplify im into im
13.381 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.381 * [backup-simplify]: Simplify (+ 1 0) into 1
13.382 * [backup-simplify]: Simplify (sqrt 1) into 1
13.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.384 * [backup-simplify]: Simplify (+ 0 0) into 0
13.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.384 * [taylor]: Taking taylor expansion of 1 in im
13.384 * [backup-simplify]: Simplify 1 into 1
13.384 * [taylor]: Taking taylor expansion of 0 in im
13.384 * [backup-simplify]: Simplify 0 into 0
13.384 * [backup-simplify]: Simplify 1 into 1
13.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.387 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.387 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.387 * [taylor]: Taking taylor expansion of 1/2 in im
13.387 * [backup-simplify]: Simplify 1/2 into 1/2
13.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.387 * [taylor]: Taking taylor expansion of im in im
13.387 * [backup-simplify]: Simplify 0 into 0
13.388 * [backup-simplify]: Simplify 1 into 1
13.388 * [backup-simplify]: Simplify (* 1 1) into 1
13.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.389 * [backup-simplify]: Simplify 0 into 0
13.389 * [backup-simplify]: Simplify 0 into 0
13.389 * [backup-simplify]: Simplify 0 into 0
13.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.390 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.390 * [backup-simplify]: Simplify (+ 0 0) into 0
13.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.391 * [taylor]: Taking taylor expansion of 0 in im
13.391 * [backup-simplify]: Simplify 0 into 0
13.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.392 * [backup-simplify]: Simplify 0 into 0
13.392 * [backup-simplify]: Simplify 0 into 0
13.392 * [backup-simplify]: Simplify 0 into 0
13.392 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
13.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2 1)
13.392 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
13.392 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
13.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
13.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
13.392 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.392 * [taylor]: Taking taylor expansion of im in im
13.392 * [backup-simplify]: Simplify 0 into 0
13.392 * [backup-simplify]: Simplify 1 into 1
13.392 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.392 * [taylor]: Taking taylor expansion of re in im
13.392 * [backup-simplify]: Simplify re into re
13.393 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.393 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
13.393 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.393 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.393 * [backup-simplify]: Simplify (+ 0 0) into 0
13.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.393 * [taylor]: Taking taylor expansion of im in re
13.393 * [backup-simplify]: Simplify im into im
13.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.393 * [taylor]: Taking taylor expansion of re in re
13.393 * [backup-simplify]: Simplify 0 into 0
13.393 * [backup-simplify]: Simplify 1 into 1
13.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.393 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.394 * [backup-simplify]: Simplify (+ 0 0) into 0
13.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.394 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.394 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.394 * [taylor]: Taking taylor expansion of im in re
13.394 * [backup-simplify]: Simplify im into im
13.394 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.394 * [taylor]: Taking taylor expansion of re in re
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [backup-simplify]: Simplify 1 into 1
13.394 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.394 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.394 * [backup-simplify]: Simplify (+ 0 0) into 0
13.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.394 * [taylor]: Taking taylor expansion of im in im
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [backup-simplify]: Simplify 1 into 1
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [taylor]: Taking taylor expansion of 0 in im
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [backup-simplify]: Simplify 1 into 1
13.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.395 * [backup-simplify]: Simplify (* 1 1) into 1
13.395 * [backup-simplify]: Simplify (+ 0 1) into 1
13.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.396 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
13.396 * [taylor]: Taking taylor expansion of 1/2 in im
13.396 * [backup-simplify]: Simplify 1/2 into 1/2
13.396 * [taylor]: Taking taylor expansion of im in im
13.396 * [backup-simplify]: Simplify 0 into 0
13.396 * [backup-simplify]: Simplify 1 into 1
13.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.397 * [backup-simplify]: Simplify 0 into 0
13.397 * [backup-simplify]: Simplify 0 into 0
13.397 * [backup-simplify]: Simplify 0 into 0
13.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.398 * [backup-simplify]: Simplify (+ 0 0) into 0
13.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.398 * [taylor]: Taking taylor expansion of 0 in im
13.398 * [backup-simplify]: Simplify 0 into 0
13.398 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.399 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
13.399 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.399 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.399 * [taylor]: Taking taylor expansion of re in im
13.399 * [backup-simplify]: Simplify re into re
13.399 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.399 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.399 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.399 * [taylor]: Taking taylor expansion of im in im
13.399 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify 1 into 1
13.399 * [backup-simplify]: Simplify (* 1 1) into 1
13.400 * [backup-simplify]: Simplify (/ 1 1) into 1
13.400 * [backup-simplify]: Simplify (+ 0 1) into 1
13.400 * [backup-simplify]: Simplify (sqrt 1) into 1
13.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.401 * [backup-simplify]: Simplify (+ 0 0) into 0
13.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.402 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.402 * [taylor]: Taking taylor expansion of re in re
13.402 * [backup-simplify]: Simplify 0 into 0
13.402 * [backup-simplify]: Simplify 1 into 1
13.402 * [backup-simplify]: Simplify (* 1 1) into 1
13.402 * [backup-simplify]: Simplify (/ 1 1) into 1
13.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.402 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.402 * [taylor]: Taking taylor expansion of im in re
13.402 * [backup-simplify]: Simplify im into im
13.402 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.403 * [backup-simplify]: Simplify (+ 1 0) into 1
13.403 * [backup-simplify]: Simplify (sqrt 1) into 1
13.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.404 * [backup-simplify]: Simplify (+ 0 0) into 0
13.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.404 * [taylor]: Taking taylor expansion of re in re
13.404 * [backup-simplify]: Simplify 0 into 0
13.404 * [backup-simplify]: Simplify 1 into 1
13.405 * [backup-simplify]: Simplify (* 1 1) into 1
13.405 * [backup-simplify]: Simplify (/ 1 1) into 1
13.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.405 * [taylor]: Taking taylor expansion of im in re
13.405 * [backup-simplify]: Simplify im into im
13.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.405 * [backup-simplify]: Simplify (+ 1 0) into 1
13.406 * [backup-simplify]: Simplify (sqrt 1) into 1
13.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.407 * [backup-simplify]: Simplify (+ 0 0) into 0
13.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.407 * [taylor]: Taking taylor expansion of 1 in im
13.407 * [backup-simplify]: Simplify 1 into 1
13.407 * [taylor]: Taking taylor expansion of 0 in im
13.407 * [backup-simplify]: Simplify 0 into 0
13.407 * [backup-simplify]: Simplify 1 into 1
13.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.409 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.409 * [taylor]: Taking taylor expansion of 1/2 in im
13.409 * [backup-simplify]: Simplify 1/2 into 1/2
13.409 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.409 * [taylor]: Taking taylor expansion of im in im
13.409 * [backup-simplify]: Simplify 0 into 0
13.409 * [backup-simplify]: Simplify 1 into 1
13.410 * [backup-simplify]: Simplify (* 1 1) into 1
13.410 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.412 * [backup-simplify]: Simplify 0 into 0
13.412 * [backup-simplify]: Simplify 0 into 0
13.412 * [backup-simplify]: Simplify 0 into 0
13.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.413 * [backup-simplify]: Simplify (+ 0 0) into 0
13.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.414 * [taylor]: Taking taylor expansion of 0 in im
13.414 * [backup-simplify]: Simplify 0 into 0
13.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.415 * [backup-simplify]: Simplify 0 into 0
13.415 * [backup-simplify]: Simplify 0 into 0
13.415 * [backup-simplify]: Simplify 0 into 0
13.415 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
13.415 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
13.415 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
13.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.416 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.416 * [taylor]: Taking taylor expansion of re in im
13.416 * [backup-simplify]: Simplify re into re
13.416 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.416 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.416 * [taylor]: Taking taylor expansion of im in im
13.416 * [backup-simplify]: Simplify 0 into 0
13.416 * [backup-simplify]: Simplify 1 into 1
13.416 * [backup-simplify]: Simplify (* 1 1) into 1
13.417 * [backup-simplify]: Simplify (/ 1 1) into 1
13.417 * [backup-simplify]: Simplify (+ 0 1) into 1
13.417 * [backup-simplify]: Simplify (sqrt 1) into 1
13.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.419 * [backup-simplify]: Simplify (+ 0 0) into 0
13.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.420 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.420 * [taylor]: Taking taylor expansion of re in re
13.420 * [backup-simplify]: Simplify 0 into 0
13.420 * [backup-simplify]: Simplify 1 into 1
13.420 * [backup-simplify]: Simplify (* 1 1) into 1
13.421 * [backup-simplify]: Simplify (/ 1 1) into 1
13.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.421 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.421 * [taylor]: Taking taylor expansion of im in re
13.421 * [backup-simplify]: Simplify im into im
13.421 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.421 * [backup-simplify]: Simplify (+ 1 0) into 1
13.422 * [backup-simplify]: Simplify (sqrt 1) into 1
13.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.424 * [backup-simplify]: Simplify (+ 0 0) into 0
13.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.424 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.424 * [taylor]: Taking taylor expansion of re in re
13.424 * [backup-simplify]: Simplify 0 into 0
13.424 * [backup-simplify]: Simplify 1 into 1
13.425 * [backup-simplify]: Simplify (* 1 1) into 1
13.425 * [backup-simplify]: Simplify (/ 1 1) into 1
13.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.425 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.425 * [taylor]: Taking taylor expansion of im in re
13.425 * [backup-simplify]: Simplify im into im
13.425 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.425 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.426 * [backup-simplify]: Simplify (+ 1 0) into 1
13.426 * [backup-simplify]: Simplify (sqrt 1) into 1
13.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.428 * [backup-simplify]: Simplify (+ 0 0) into 0
13.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.429 * [taylor]: Taking taylor expansion of 1 in im
13.429 * [backup-simplify]: Simplify 1 into 1
13.429 * [taylor]: Taking taylor expansion of 0 in im
13.429 * [backup-simplify]: Simplify 0 into 0
13.429 * [backup-simplify]: Simplify 1 into 1
13.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
13.432 * [taylor]: Taking taylor expansion of 1/2 in im
13.432 * [backup-simplify]: Simplify 1/2 into 1/2
13.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.432 * [taylor]: Taking taylor expansion of im in im
13.432 * [backup-simplify]: Simplify 0 into 0
13.432 * [backup-simplify]: Simplify 1 into 1
13.433 * [backup-simplify]: Simplify (* 1 1) into 1
13.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.435 * [backup-simplify]: Simplify 0 into 0
13.435 * [backup-simplify]: Simplify 0 into 0
13.435 * [backup-simplify]: Simplify 0 into 0
13.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.442 * [backup-simplify]: Simplify (+ 0 0) into 0
13.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.443 * [taylor]: Taking taylor expansion of 0 in im
13.443 * [backup-simplify]: Simplify 0 into 0
13.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.445 * [backup-simplify]: Simplify 0 into 0
13.445 * [backup-simplify]: Simplify 0 into 0
13.445 * [backup-simplify]: Simplify 0 into 0
13.445 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
13.445 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2)
13.446 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
13.446 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
13.446 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
13.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
13.446 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
13.446 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.446 * [taylor]: Taking taylor expansion of im in im
13.446 * [backup-simplify]: Simplify 0 into 0
13.446 * [backup-simplify]: Simplify 1 into 1
13.446 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.446 * [taylor]: Taking taylor expansion of re in im
13.446 * [backup-simplify]: Simplify re into re
13.446 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.446 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
13.446 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.446 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.447 * [backup-simplify]: Simplify (+ 0 0) into 0
13.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.447 * [taylor]: Taking taylor expansion of re in im
13.447 * [backup-simplify]: Simplify re into re
13.447 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
13.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.447 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.447 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.447 * [taylor]: Taking taylor expansion of im in re
13.447 * [backup-simplify]: Simplify im into im
13.447 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.447 * [taylor]: Taking taylor expansion of re in re
13.447 * [backup-simplify]: Simplify 0 into 0
13.447 * [backup-simplify]: Simplify 1 into 1
13.447 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.447 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.447 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.448 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.448 * [backup-simplify]: Simplify (+ 0 0) into 0
13.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.448 * [taylor]: Taking taylor expansion of re in re
13.448 * [backup-simplify]: Simplify 0 into 0
13.448 * [backup-simplify]: Simplify 1 into 1
13.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
13.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
13.448 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
13.448 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.448 * [taylor]: Taking taylor expansion of im in re
13.448 * [backup-simplify]: Simplify im into im
13.448 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.448 * [taylor]: Taking taylor expansion of re in re
13.448 * [backup-simplify]: Simplify 0 into 0
13.449 * [backup-simplify]: Simplify 1 into 1
13.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.449 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
13.449 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.449 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.449 * [backup-simplify]: Simplify (+ 0 0) into 0
13.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.449 * [taylor]: Taking taylor expansion of re in re
13.449 * [backup-simplify]: Simplify 0 into 0
13.450 * [backup-simplify]: Simplify 1 into 1
13.450 * [backup-simplify]: Simplify (- 0) into 0
13.450 * [backup-simplify]: Simplify (+ im 0) into im
13.450 * [taylor]: Taking taylor expansion of im in im
13.450 * [backup-simplify]: Simplify 0 into 0
13.450 * [backup-simplify]: Simplify 1 into 1
13.450 * [backup-simplify]: Simplify 0 into 0
13.451 * [backup-simplify]: Simplify (- 1) into -1
13.451 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.451 * [taylor]: Taking taylor expansion of -1 in im
13.451 * [backup-simplify]: Simplify -1 into -1
13.451 * [backup-simplify]: Simplify -1 into -1
13.451 * [backup-simplify]: Simplify 1 into 1
13.452 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.453 * [backup-simplify]: Simplify (* 1 1) into 1
13.453 * [backup-simplify]: Simplify (+ 0 1) into 1
13.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.454 * [backup-simplify]: Simplify (- 0) into 0
13.454 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
13.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
13.454 * [taylor]: Taking taylor expansion of 1/2 in im
13.454 * [backup-simplify]: Simplify 1/2 into 1/2
13.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.454 * [taylor]: Taking taylor expansion of im in im
13.454 * [backup-simplify]: Simplify 0 into 0
13.455 * [backup-simplify]: Simplify 1 into 1
13.455 * [backup-simplify]: Simplify (/ 1 1) into 1
13.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.456 * [backup-simplify]: Simplify 0 into 0
13.457 * [backup-simplify]: Simplify 0 into 0
13.457 * [backup-simplify]: Simplify 0 into 0
13.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.459 * [backup-simplify]: Simplify (+ 0 0) into 0
13.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.459 * [backup-simplify]: Simplify (- 0) into 0
13.460 * [backup-simplify]: Simplify (+ 0 0) into 0
13.460 * [taylor]: Taking taylor expansion of 0 in im
13.460 * [backup-simplify]: Simplify 0 into 0
13.460 * [backup-simplify]: Simplify 0 into 0
13.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.462 * [backup-simplify]: Simplify 0 into 0
13.462 * [backup-simplify]: Simplify 0 into 0
13.462 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
13.463 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
13.463 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
13.463 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
13.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.463 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.463 * [taylor]: Taking taylor expansion of re in im
13.463 * [backup-simplify]: Simplify re into re
13.463 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.463 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.463 * [taylor]: Taking taylor expansion of im in im
13.463 * [backup-simplify]: Simplify 0 into 0
13.463 * [backup-simplify]: Simplify 1 into 1
13.463 * [backup-simplify]: Simplify (* 1 1) into 1
13.464 * [backup-simplify]: Simplify (/ 1 1) into 1
13.464 * [backup-simplify]: Simplify (+ 0 1) into 1
13.465 * [backup-simplify]: Simplify (sqrt 1) into 1
13.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.466 * [backup-simplify]: Simplify (+ 0 0) into 0
13.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.467 * [taylor]: Taking taylor expansion of re in im
13.467 * [backup-simplify]: Simplify re into re
13.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.467 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
13.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.467 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.467 * [taylor]: Taking taylor expansion of re in re
13.467 * [backup-simplify]: Simplify 0 into 0
13.468 * [backup-simplify]: Simplify 1 into 1
13.468 * [backup-simplify]: Simplify (* 1 1) into 1
13.468 * [backup-simplify]: Simplify (/ 1 1) into 1
13.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.468 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.468 * [taylor]: Taking taylor expansion of im in re
13.468 * [backup-simplify]: Simplify im into im
13.468 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.469 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.469 * [backup-simplify]: Simplify (+ 1 0) into 1
13.469 * [backup-simplify]: Simplify (sqrt 1) into 1
13.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.471 * [backup-simplify]: Simplify (+ 0 0) into 0
13.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.471 * [taylor]: Taking taylor expansion of re in re
13.472 * [backup-simplify]: Simplify 0 into 0
13.472 * [backup-simplify]: Simplify 1 into 1
13.472 * [backup-simplify]: Simplify (/ 1 1) into 1
13.472 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
13.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.472 * [taylor]: Taking taylor expansion of re in re
13.472 * [backup-simplify]: Simplify 0 into 0
13.472 * [backup-simplify]: Simplify 1 into 1
13.472 * [backup-simplify]: Simplify (* 1 1) into 1
13.472 * [backup-simplify]: Simplify (/ 1 1) into 1
13.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.472 * [taylor]: Taking taylor expansion of im in re
13.472 * [backup-simplify]: Simplify im into im
13.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.473 * [backup-simplify]: Simplify (+ 1 0) into 1
13.473 * [backup-simplify]: Simplify (sqrt 1) into 1
13.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.474 * [backup-simplify]: Simplify (+ 0 0) into 0
13.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.474 * [taylor]: Taking taylor expansion of re in re
13.475 * [backup-simplify]: Simplify 0 into 0
13.475 * [backup-simplify]: Simplify 1 into 1
13.475 * [backup-simplify]: Simplify (/ 1 1) into 1
13.475 * [backup-simplify]: Simplify (- 1) into -1
13.475 * [backup-simplify]: Simplify (+ 1 -1) into 0
13.475 * [taylor]: Taking taylor expansion of 0 in im
13.475 * [backup-simplify]: Simplify 0 into 0
13.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.476 * [backup-simplify]: Simplify (- 0) into 0
13.476 * [backup-simplify]: Simplify (+ 0 0) into 0
13.476 * [taylor]: Taking taylor expansion of 0 in im
13.476 * [backup-simplify]: Simplify 0 into 0
13.476 * [backup-simplify]: Simplify 0 into 0
13.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.477 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.479 * [backup-simplify]: Simplify (- 0) into 0
13.479 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.479 * [taylor]: Taking taylor expansion of 1/2 in im
13.479 * [backup-simplify]: Simplify 1/2 into 1/2
13.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.479 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.479 * [taylor]: Taking taylor expansion of im in im
13.479 * [backup-simplify]: Simplify 0 into 0
13.479 * [backup-simplify]: Simplify 1 into 1
13.479 * [backup-simplify]: Simplify (* 1 1) into 1
13.480 * [backup-simplify]: Simplify (/ 1 1) into 1
13.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.481 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify 0 into 0
13.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.482 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.482 * [backup-simplify]: Simplify (+ 0 0) into 0
13.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.484 * [backup-simplify]: Simplify (- 0) into 0
13.484 * [backup-simplify]: Simplify (+ 0 0) into 0
13.484 * [taylor]: Taking taylor expansion of 0 in im
13.484 * [backup-simplify]: Simplify 0 into 0
13.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.485 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
13.486 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
13.486 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
13.486 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.486 * [taylor]: Taking taylor expansion of re in im
13.486 * [backup-simplify]: Simplify re into re
13.486 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
13.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
13.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
13.486 * [taylor]: Taking taylor expansion of (pow re 2) in im
13.486 * [taylor]: Taking taylor expansion of re in im
13.486 * [backup-simplify]: Simplify re into re
13.486 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.486 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
13.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.486 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.486 * [taylor]: Taking taylor expansion of im in im
13.486 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify 1 into 1
13.486 * [backup-simplify]: Simplify (* 1 1) into 1
13.487 * [backup-simplify]: Simplify (/ 1 1) into 1
13.487 * [backup-simplify]: Simplify (+ 0 1) into 1
13.487 * [backup-simplify]: Simplify (sqrt 1) into 1
13.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.488 * [backup-simplify]: Simplify (+ 0 0) into 0
13.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
13.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.489 * [taylor]: Taking taylor expansion of re in re
13.489 * [backup-simplify]: Simplify 0 into 0
13.489 * [backup-simplify]: Simplify 1 into 1
13.489 * [backup-simplify]: Simplify (/ 1 1) into 1
13.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.489 * [taylor]: Taking taylor expansion of re in re
13.489 * [backup-simplify]: Simplify 0 into 0
13.489 * [backup-simplify]: Simplify 1 into 1
13.489 * [backup-simplify]: Simplify (* 1 1) into 1
13.489 * [backup-simplify]: Simplify (/ 1 1) into 1
13.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.490 * [taylor]: Taking taylor expansion of im in re
13.490 * [backup-simplify]: Simplify im into im
13.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.490 * [backup-simplify]: Simplify (+ 1 0) into 1
13.490 * [backup-simplify]: Simplify (sqrt 1) into 1
13.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.492 * [backup-simplify]: Simplify (+ 0 0) into 0
13.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.493 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
13.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.493 * [taylor]: Taking taylor expansion of re in re
13.493 * [backup-simplify]: Simplify 0 into 0
13.493 * [backup-simplify]: Simplify 1 into 1
13.493 * [backup-simplify]: Simplify (/ 1 1) into 1
13.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
13.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
13.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
13.493 * [taylor]: Taking taylor expansion of (pow re 2) in re
13.493 * [taylor]: Taking taylor expansion of re in re
13.493 * [backup-simplify]: Simplify 0 into 0
13.493 * [backup-simplify]: Simplify 1 into 1
13.494 * [backup-simplify]: Simplify (* 1 1) into 1
13.494 * [backup-simplify]: Simplify (/ 1 1) into 1
13.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
13.494 * [taylor]: Taking taylor expansion of (pow im 2) in re
13.494 * [taylor]: Taking taylor expansion of im in re
13.494 * [backup-simplify]: Simplify im into im
13.494 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
13.495 * [backup-simplify]: Simplify (+ 1 0) into 1
13.495 * [backup-simplify]: Simplify (sqrt 1) into 1
13.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.497 * [backup-simplify]: Simplify (+ 0 0) into 0
13.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.498 * [backup-simplify]: Simplify (+ 1 1) into 2
13.498 * [taylor]: Taking taylor expansion of 2 in im
13.498 * [backup-simplify]: Simplify 2 into 2
13.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.499 * [backup-simplify]: Simplify (+ 0 0) into 0
13.499 * [taylor]: Taking taylor expansion of 0 in im
13.499 * [backup-simplify]: Simplify 0 into 0
13.500 * [backup-simplify]: Simplify 2 into 2
13.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.504 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.504 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
13.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.504 * [taylor]: Taking taylor expansion of 1/2 in im
13.504 * [backup-simplify]: Simplify 1/2 into 1/2
13.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.504 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.504 * [taylor]: Taking taylor expansion of im in im
13.504 * [backup-simplify]: Simplify 0 into 0
13.504 * [backup-simplify]: Simplify 1 into 1
13.504 * [backup-simplify]: Simplify (* 1 1) into 1
13.505 * [backup-simplify]: Simplify (/ 1 1) into 1
13.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.507 * [backup-simplify]: Simplify 0 into 0
13.507 * [backup-simplify]: Simplify 0 into 0
13.507 * [backup-simplify]: Simplify 0 into 0
13.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.510 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
13.511 * [backup-simplify]: Simplify (+ 0 0) into 0
13.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.512 * [backup-simplify]: Simplify (+ 0 0) into 0
13.512 * [taylor]: Taking taylor expansion of 0 in im
13.512 * [backup-simplify]: Simplify 0 into 0
13.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.515 * [backup-simplify]: Simplify 0 into 0
13.515 * [backup-simplify]: Simplify 0 into 0
13.515 * [backup-simplify]: Simplify 0 into 0
13.515 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
13.515 * * * [progress]: simplifying candidates
13.515 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))))))>
13.515 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re)))))))>
13.515 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))>
13.515 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (log (exp (sqrt (+ (* re re) (* im im))))) re)))))))>
13.515 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
13.515 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))))>
13.516 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))>
13.516 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
13.516 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 1) (sqrt (+ (* re re) (* im im)))) re)))))))>
13.516 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))))>
13.516 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))))>
13.516 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))))>
13.516 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
13.516 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re)))))))>
13.516 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re)))))))>
13.516 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))>
13.516 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.516 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (log (exp (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.517 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 1) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.518 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (exp (log (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)))))))>
13.518 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (log (exp (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)))))))>
13.518 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (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)))))))>
13.518 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (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)))))))>
13.518 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* 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)))))))>
13.519 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (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)))))))>
13.519 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (sqrt 1) (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)))))))>
13.519 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* 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)))))))>
13.519 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (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)))))))>
13.519 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) (/ 1 2)) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.519 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (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)))))))>
13.519 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (fabs (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)))))))>
13.519 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* 1 (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)))))))>
13.519 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (posit16->real (real->posit16 (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)))))))>
13.519 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (log (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))))>
13.519 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (pow (- (sqrt (+ (* re re) (* im im))) re) 1)))))))>
13.520 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (exp (log (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.520 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (log (exp (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.520 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (* (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.520 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (cbrt (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.520 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.520 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (- (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))))))))))>
13.520 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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))))))))>
13.520 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))))>
13.520 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re))))))))>
13.520 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))))>
13.520 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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 (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))))>
13.520 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (* 1 (- (sqrt (+ (* re re) (* im im))) re))))))))>
13.521 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (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))))))))>
13.521 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (posit16->real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))))>
13.521 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- im re)))))))>
13.521 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- re re)))))))>
13.521 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (* -1 re) re)))))))>
13.521 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- im re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- re re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (* -1 re) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- im re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- re re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* -1 re) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.521 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- im re)))))))>
13.521 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 0))))))>
13.521 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (* -2 re)))))))>
13.523 * [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)))), (real->posit16 (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)))), (real->posit16 (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)))), (real->posit16 (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), (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)), im, re, (* -1 re), im, re, (* -1 re), im, re, (* -1 re), (- im re), 0, (* -2 re)
13.524 * * [simplify]: iteration 1: (66 enodes)
13.559 * * [simplify]: iteration 2: (257 enodes)
13.634 * * [simplify]: iteration 3: (488 enodes)
13.828 * * [simplify]: iteration 4: (1047 enodes)
14.318 * * [simplify]: Extracting #0: cost 36 inf + 0
14.318 * * [simplify]: Extracting #1: cost 131 inf + 88
14.320 * * [simplify]: Extracting #2: cost 300 inf + 1859
14.333 * * [simplify]: Extracting #3: cost 447 inf + 13585
14.357 * * [simplify]: Extracting #4: cost 305 inf + 65552
14.392 * * [simplify]: Extracting #5: cost 37 inf + 140273
14.430 * * [simplify]: Extracting #6: cost 1 inf + 153382
14.465 * * [simplify]: Extracting #7: cost 0 inf + 153505
14.508 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) im) (* (* im im) im)))), (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (real->posit16 (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))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) im) (* (* im im) im)))), (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (real->posit16 (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))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) im) (* (* im im) im)))), (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))), (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re)))), (sqrt (- (* re re) (* im im))), 1/2, (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (real->posit16 (sqrt (+ (* re re) (* im im)))), (exp (- (sqrt (+ (* re re) (* im im))) re)), (log (- (sqrt (+ (* re re) (* im im))) re)), (exp (- (sqrt (+ (* re re) (* im im))) re)), (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))), (cbrt (- (sqrt (+ (* re re) (* im im))) re)), (* (- (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)), (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))), (+ (* re (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* re re) (* im im))), (- re), (* im im), (+ (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), (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)), im, re, (- re), im, re, (- re), im, re, (- re), (- im re), 0, (* -2 re)
14.523 * * * [progress]: adding candidates to table
15.768 * [progress]: [Phase 3 of 3] Extracting.
15.768 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
15.770 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
15.771 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
15.873 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
15.944 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.022 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.109 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.181 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.249 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.324 * * * [regime]: Found split indices: #<option (#s(si 5 33) #s(si 2 127) #s(si 1 255))>
16.327 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.480 * [regimes]: Found splitpoints: (#s(sp 5 re -4.865476810721751e+152) #s(sp 2 re -7.2120676567993205e-304) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (* (* (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)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>)
16.482 * [simplify]: Simplifying (if (<= re -4.865476810721751e+152) (* 0.5 (sqrt (* 2.0 (* -2 re)))) (if (<= re -7.2120676567993205e-304) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))))))
16.483 * * [simplify]: iteration 1: (32 enodes)
16.486 * * [simplify]: iteration 2: (40 enodes)
16.488 * * [simplify]: Extracting #0: cost 1 inf + 0
16.488 * * [simplify]: Extracting #1: cost 4 inf + 0
16.488 * * [simplify]: Extracting #2: cost 11 inf + 0
16.488 * * [simplify]: Extracting #3: cost 12 inf + 3
16.488 * * [simplify]: Extracting #4: cost 13 inf + 138
16.489 * * [simplify]: Extracting #5: cost 15 inf + 139
16.489 * * [simplify]: Extracting #6: cost 17 inf + 140
16.489 * * [simplify]: Extracting #7: cost 16 inf + 552
16.489 * * [simplify]: Extracting #8: cost 16 inf + 553
16.489 * * [simplify]: Extracting #9: cost 16 inf + 594
16.490 * * [simplify]: Extracting #10: cost 15 inf + 635
16.490 * * [simplify]: Extracting #11: cost 13 inf + 919
16.490 * * [simplify]: Extracting #12: cost 11 inf + 1323
16.491 * * [simplify]: Extracting #13: cost 9 inf + 1807
16.492 * * [simplify]: Extracting #14: cost 5 inf + 3018
16.493 * * [simplify]: Extracting #15: cost 3 inf + 3745
16.494 * * [simplify]: Extracting #16: cost 1 inf + 4884
16.496 * * [simplify]: Extracting #17: cost 0 inf + 5911
16.497 * [simplify]: Simplified to (if (<= re -4.865476810721751e+152) (* (sqrt (* (* -2 re) 2.0)) 0.5) (if (<= re -7.2120676567993205e-304) (* (sqrt (* 2.0 (- (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re))))) re))) 0.5) (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) 0.5)))
20.306 * [regime-testing]: Baseline error score: 38.149138846360714
20.309 * [regime-testing]: Oracle error score: 17.609986805465276
20.314 * [regime-testing]: End program error score: 26.29891514119589