0.661 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.321 * * [progress]: iteration 1 / 4 0.321 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.327 * * * [progress]: localizing error 0.359 * * * [progress]: generating rewritten candidates 0.359 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.380 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.450 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.462 * * * [progress]: generating series expansions 0.462 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.467 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.467 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.468 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.468 * [taylor]: Taking taylor expansion of re in im 0.468 * [backup-simplify]: Simplify re into re 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.468 * [taylor]: Taking taylor expansion of im in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.469 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.469 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.469 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.470 * [taylor]: Taking taylor expansion of re in re 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.470 * [taylor]: Taking taylor expansion of im in re 0.470 * [backup-simplify]: Simplify im into im 0.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.470 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.471 * [taylor]: Taking taylor expansion of im in re 0.471 * [backup-simplify]: Simplify im into im 0.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.475 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.475 * [taylor]: Taking taylor expansion of 1/2 in im 0.475 * [backup-simplify]: Simplify 1/2 into 1/2 0.475 * [taylor]: Taking taylor expansion of im in im 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.478 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.478 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.482 * [taylor]: Taking taylor expansion of im in re 0.482 * [backup-simplify]: Simplify im into im 0.482 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.482 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.482 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (+ 0 1) into 1 0.483 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.485 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [taylor]: Taking taylor expansion of 1 in im 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.490 * [taylor]: Taking taylor expansion of 1/2 in im 0.490 * [backup-simplify]: Simplify 1/2 into 1/2 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [backup-simplify]: Simplify re into re 0.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (sqrt 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ 0 1) into 1 0.500 * [backup-simplify]: Simplify (sqrt 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 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)) 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.502 * [taylor]: Taking taylor expansion of re in re 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (+ 0 1) 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 1 in im 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of 0 in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.507 * [taylor]: Taking taylor expansion of 1/2 in im 0.507 * [backup-simplify]: Simplify 1/2 into 1/2 0.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) 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 (+ 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 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.515 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.516 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.516 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.516 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.516 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.516 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.516 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.516 * [taylor]: Taking taylor expansion of re in im 0.516 * [backup-simplify]: Simplify re into re 0.516 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.516 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.516 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.517 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.517 * [taylor]: Taking taylor expansion of re in im 0.517 * [backup-simplify]: Simplify re into re 0.517 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.517 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [backup-simplify]: Simplify im into im 0.518 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.518 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.518 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.518 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.519 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.519 * [taylor]: Taking taylor expansion of im in re 0.519 * [backup-simplify]: Simplify im into im 0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.519 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.519 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ im 0) into im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- 1) into -1 0.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.521 * [taylor]: Taking taylor expansion of -1 in im 0.521 * [backup-simplify]: Simplify -1 into -1 0.522 * [backup-simplify]: Simplify -1 into -1 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) 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 (/ 1 im) in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [taylor]: Taking taylor expansion of 0 in im 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.532 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.532 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.532 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.533 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.533 * [taylor]: Taking taylor expansion of re in im 0.534 * [backup-simplify]: Simplify re into re 0.534 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.538 * [backup-simplify]: Simplify re into re 0.538 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.538 * [taylor]: Taking taylor expansion of im in re 0.538 * [backup-simplify]: Simplify im into im 0.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ 0 1) into 1 0.540 * [backup-simplify]: Simplify (sqrt 1) into 1 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [backup-simplify]: Simplify im into im 0.544 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [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 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.549 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (- 1) into -1 0.552 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.557 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.559 * [taylor]: Taking taylor expansion of 1/2 in im 0.559 * [backup-simplify]: Simplify 1/2 into 1/2 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 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 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.581 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.582 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.582 * [taylor]: Taking taylor expansion of re in im 0.582 * [backup-simplify]: Simplify re into re 0.582 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.582 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.582 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify (sqrt 1) into 1 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [backup-simplify]: Simplify (+ 0 1) into 1 0.586 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.587 * [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 im 2)) (/ 1 (pow re 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 im 2)) (/ 1 (pow re 2)))) in re 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.588 * [taylor]: Taking taylor expansion of im in re 0.588 * [backup-simplify]: Simplify im into im 0.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [backup-simplify]: Simplify (+ 0 1) into 1 0.589 * [backup-simplify]: Simplify (sqrt 1) into 1 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.591 * [backup-simplify]: Simplify (+ 1 1) into 2 0.591 * [taylor]: Taking taylor expansion of 2 in im 0.591 * [backup-simplify]: Simplify 2 into 2 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [taylor]: Taking taylor expansion of 0 in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 2 into 2 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.595 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.595 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.595 * [taylor]: Taking taylor expansion of 1/2 in im 0.595 * [backup-simplify]: Simplify 1/2 into 1/2 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.595 * [taylor]: Taking taylor expansion of im in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [taylor]: Taking taylor expansion of 0 in im 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.601 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.602 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.602 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.602 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.602 * [taylor]: Taking taylor expansion of re in im 0.602 * [backup-simplify]: Simplify re into re 0.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.602 * [taylor]: Taking taylor expansion of im in im 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.602 * [backup-simplify]: Simplify im into im 0.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.602 * [backup-simplify]: Simplify im into im 0.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.602 * [taylor]: Taking taylor expansion of im in im 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [taylor]: Taking taylor expansion of 0 in im 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.603 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [taylor]: Taking taylor expansion of 1 in im 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.607 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [taylor]: Taking taylor expansion of 0 in im 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.607 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.608 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [backup-simplify]: Simplify re into re 0.608 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.608 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.608 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.608 * [taylor]: Taking taylor expansion of im in re 0.608 * [backup-simplify]: Simplify im into im 0.608 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.608 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.608 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.608 * [taylor]: Taking taylor expansion of re in re 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (* 1 1) into 1 0.609 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.609 * [taylor]: Taking taylor expansion of im in re 0.609 * [backup-simplify]: Simplify im into im 0.609 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [backup-simplify]: Simplify (+ 0 1) into 1 0.610 * [taylor]: Taking taylor expansion of 1 in im 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.627 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.627 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.627 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.627 * [taylor]: Taking taylor expansion of im in im 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [backup-simplify]: Simplify re into re 0.628 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [backup-simplify]: Simplify im into im 0.629 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.629 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [backup-simplify]: Simplify im into im 0.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.630 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [backup-simplify]: Simplify (+ 0 1) into 1 0.632 * [taylor]: Taking taylor expansion of 1 in im 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.648 * * * [progress]: simplifying candidates 0.649 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.773 * * * [progress]: adding candidates to table 1.996 * * [progress]: iteration 2 / 4 1.996 * * * [progress]: picking best candidate 2.015 * * * * [pick]: Picked # 2.015 * * * [progress]: localizing error 2.036 * * * [progress]: generating rewritten candidates 2.036 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.069 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.272 * * * [progress]: generating series expansions 2.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.273 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.273 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.273 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.273 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [backup-simplify]: Simplify re into re 2.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.273 * [taylor]: Taking taylor expansion of im in im 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.273 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.274 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.274 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.275 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.275 * [taylor]: Taking taylor expansion of re in re 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.275 * [taylor]: Taking taylor expansion of im in re 2.275 * [backup-simplify]: Simplify im into im 2.275 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.275 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.275 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.275 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.276 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.276 * [taylor]: Taking taylor expansion of re in re 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.276 * [taylor]: Taking taylor expansion of im in re 2.276 * [backup-simplify]: Simplify im into im 2.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.277 * [taylor]: Taking taylor expansion of im in im 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [taylor]: Taking taylor expansion of 0 in im 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (* 1 1) into 1 2.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.279 * [backup-simplify]: Simplify (+ 1 0) into 1 2.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.280 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.280 * [taylor]: Taking taylor expansion of 1/2 in im 2.280 * [backup-simplify]: Simplify 1/2 into 1/2 2.280 * [taylor]: Taking taylor expansion of im in im 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.283 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in im 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.286 * [taylor]: Taking taylor expansion of im in im 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (* 1 1) into 1 2.287 * [backup-simplify]: Simplify (/ 1 1) into 1 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.287 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.287 * [taylor]: Taking taylor expansion of re in im 2.287 * [backup-simplify]: Simplify re into re 2.287 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.288 * [backup-simplify]: Simplify (+ 1 0) into 1 2.288 * [backup-simplify]: Simplify (sqrt 1) into 1 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.291 * [taylor]: Taking taylor expansion of im in re 2.291 * [backup-simplify]: Simplify im into im 2.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (* 1 1) into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [backup-simplify]: Simplify (+ 0 1) into 1 2.293 * [backup-simplify]: Simplify (sqrt 1) into 1 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.296 * [taylor]: Taking taylor expansion of im in re 2.296 * [backup-simplify]: Simplify im into im 2.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.296 * [taylor]: Taking taylor expansion of re in re 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [backup-simplify]: Simplify (+ 0 1) into 1 2.298 * [backup-simplify]: Simplify (sqrt 1) into 1 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.300 * [taylor]: Taking taylor expansion of 1 in im 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of 0 in im 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.304 * [taylor]: Taking taylor expansion of 1/2 in im 2.304 * [backup-simplify]: Simplify 1/2 into 1/2 2.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.304 * [taylor]: Taking taylor expansion of im in im 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (* 1 1) into 1 2.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.310 * [taylor]: Taking taylor expansion of 0 in im 2.310 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.312 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (* 1 1) into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.314 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.314 * [taylor]: Taking taylor expansion of re in im 2.314 * [backup-simplify]: Simplify re into re 2.314 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.314 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.315 * [backup-simplify]: Simplify (sqrt 1) into 1 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.317 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.317 * [taylor]: Taking taylor expansion of im in re 2.317 * [backup-simplify]: Simplify im into im 2.317 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.318 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.318 * [taylor]: Taking taylor expansion of re in re 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.319 * [backup-simplify]: Simplify (+ 0 1) into 1 2.319 * [backup-simplify]: Simplify (sqrt 1) into 1 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.322 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.322 * [taylor]: Taking taylor expansion of im in re 2.322 * [backup-simplify]: Simplify im into im 2.322 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.322 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.322 * [taylor]: Taking taylor expansion of re in re 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (* 1 1) into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [backup-simplify]: Simplify (+ 0 1) into 1 2.324 * [backup-simplify]: Simplify (sqrt 1) into 1 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.327 * [taylor]: Taking taylor expansion of 1 in im 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of 0 in im 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.330 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.330 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.330 * [taylor]: Taking taylor expansion of 1/2 in im 2.330 * [backup-simplify]: Simplify 1/2 into 1/2 2.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.330 * [taylor]: Taking taylor expansion of im in im 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.336 * [taylor]: Taking taylor expansion of 0 in im 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.339 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.339 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.339 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.339 * [taylor]: Taking taylor expansion of re in im 2.339 * [backup-simplify]: Simplify re into re 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.340 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.340 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.340 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.341 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.341 * [taylor]: Taking taylor expansion of re in re 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.341 * [taylor]: Taking taylor expansion of im in re 2.341 * [backup-simplify]: Simplify im into im 2.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.341 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.341 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.342 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.342 * [taylor]: Taking taylor expansion of re in re 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.342 * [taylor]: Taking taylor expansion of im in re 2.342 * [backup-simplify]: Simplify im into im 2.342 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.343 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.343 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.344 * [taylor]: Taking taylor expansion of im in im 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [taylor]: Taking taylor expansion of 0 in im 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.345 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.345 * [backup-simplify]: Simplify (+ 1 0) into 1 2.346 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.346 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.346 * [taylor]: Taking taylor expansion of 1/2 in im 2.346 * [backup-simplify]: Simplify 1/2 into 1/2 2.346 * [taylor]: Taking taylor expansion of im in im 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.349 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.349 * [taylor]: Taking taylor expansion of 0 in im 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.351 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.351 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.351 * [taylor]: Taking taylor expansion of im in im 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.352 * [taylor]: Taking taylor expansion of re in im 2.352 * [backup-simplify]: Simplify re into re 2.352 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.352 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.352 * [backup-simplify]: Simplify (+ 1 0) into 1 2.353 * [backup-simplify]: Simplify (sqrt 1) into 1 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.355 * [taylor]: Taking taylor expansion of im in re 2.356 * [backup-simplify]: Simplify im into im 2.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.356 * [taylor]: Taking taylor expansion of re in re 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [backup-simplify]: Simplify (+ 0 1) into 1 2.357 * [backup-simplify]: Simplify (sqrt 1) into 1 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.360 * [taylor]: Taking taylor expansion of im in re 2.360 * [backup-simplify]: Simplify im into im 2.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.361 * [taylor]: Taking taylor expansion of re in re 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* 1 1) into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [backup-simplify]: Simplify (+ 0 1) into 1 2.368 * [backup-simplify]: Simplify (sqrt 1) into 1 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.371 * [taylor]: Taking taylor expansion of 1 in im 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of 0 in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.375 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.375 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.375 * [taylor]: Taking taylor expansion of 1/2 in im 2.375 * [backup-simplify]: Simplify 1/2 into 1/2 2.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.375 * [taylor]: Taking taylor expansion of im in im 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.381 * [taylor]: Taking taylor expansion of 0 in im 2.381 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.384 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.384 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.384 * [taylor]: Taking taylor expansion of im in im 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (/ 1 1) into 1 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.385 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [backup-simplify]: Simplify re into re 2.385 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.385 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.386 * [backup-simplify]: Simplify (sqrt 1) into 1 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.387 * [taylor]: Taking taylor expansion of im in re 2.387 * [backup-simplify]: Simplify im into im 2.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.387 * [taylor]: Taking taylor expansion of re in re 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [backup-simplify]: Simplify (+ 0 1) into 1 2.388 * [backup-simplify]: Simplify (sqrt 1) into 1 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.390 * [taylor]: Taking taylor expansion of im in re 2.390 * [backup-simplify]: Simplify im into im 2.390 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.391 * [backup-simplify]: Simplify (/ 1 1) into 1 2.391 * [backup-simplify]: Simplify (+ 0 1) into 1 2.391 * [backup-simplify]: Simplify (sqrt 1) into 1 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.393 * [taylor]: Taking taylor expansion of 1 in im 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [taylor]: Taking taylor expansion of 0 in im 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.395 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.395 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.395 * [taylor]: Taking taylor expansion of 1/2 in im 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.395 * [taylor]: Taking taylor expansion of im in im 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ 0 0) into 0 2.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.398 * [taylor]: Taking taylor expansion of 0 in im 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.400 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.400 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.400 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.400 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.400 * [taylor]: Taking taylor expansion of re in im 2.400 * [backup-simplify]: Simplify re into re 2.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.400 * [taylor]: Taking taylor expansion of im in im 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.400 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.400 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.400 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.401 * [taylor]: Taking taylor expansion of re in im 2.401 * [backup-simplify]: Simplify re into re 2.401 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.401 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.401 * [taylor]: Taking taylor expansion of re in re 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.401 * [taylor]: Taking taylor expansion of im in re 2.401 * [backup-simplify]: Simplify im into im 2.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.401 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.401 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.401 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.402 * [taylor]: Taking taylor expansion of re in re 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.402 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.402 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.402 * [taylor]: Taking taylor expansion of re in re 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.402 * [taylor]: Taking taylor expansion of im in re 2.402 * [backup-simplify]: Simplify im into im 2.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.402 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.402 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.402 * [taylor]: Taking taylor expansion of re in re 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (- 0) into 0 2.403 * [backup-simplify]: Simplify (+ im 0) into im 2.403 * [taylor]: Taking taylor expansion of im in im 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (- 1) into -1 2.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.403 * [taylor]: Taking taylor expansion of -1 in im 2.403 * [backup-simplify]: Simplify -1 into -1 2.403 * [backup-simplify]: Simplify -1 into -1 2.403 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (* 1 1) into 1 2.404 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.405 * [backup-simplify]: Simplify (- 0) into 0 2.405 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.405 * [taylor]: Taking taylor expansion of 1/2 in im 2.405 * [backup-simplify]: Simplify 1/2 into 1/2 2.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.405 * [taylor]: Taking taylor expansion of im in im 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (/ 1 1) into 1 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.408 * [taylor]: Taking taylor expansion of 0 in im 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.409 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.410 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.410 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.410 * [taylor]: Taking taylor expansion of im in im 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.410 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.410 * [taylor]: Taking taylor expansion of re in im 2.410 * [backup-simplify]: Simplify re into re 2.410 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.410 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.411 * [backup-simplify]: Simplify (+ 1 0) into 1 2.411 * [backup-simplify]: Simplify (sqrt 1) into 1 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.412 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.412 * [taylor]: Taking taylor expansion of re in im 2.412 * [backup-simplify]: Simplify re into re 2.412 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.412 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.412 * [taylor]: Taking taylor expansion of im in re 2.412 * [backup-simplify]: Simplify im into im 2.413 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.413 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.413 * [backup-simplify]: Simplify (/ 1 1) into 1 2.413 * [backup-simplify]: Simplify (+ 0 1) into 1 2.414 * [backup-simplify]: Simplify (sqrt 1) into 1 2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.415 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.415 * [taylor]: Taking taylor expansion of re in re 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (/ 1 1) into 1 2.415 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.415 * [taylor]: Taking taylor expansion of im in re 2.416 * [backup-simplify]: Simplify im into im 2.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.416 * [taylor]: Taking taylor expansion of re in re 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [backup-simplify]: Simplify (+ 0 1) into 1 2.417 * [backup-simplify]: Simplify (sqrt 1) into 1 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.419 * [taylor]: Taking taylor expansion of re in re 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.419 * [backup-simplify]: Simplify (- 1) into -1 2.420 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.420 * [taylor]: Taking taylor expansion of 0 in im 2.420 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [taylor]: Taking taylor expansion of 0 in im 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (- 0) into 0 2.427 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.427 * [taylor]: Taking taylor expansion of 1/2 in im 2.427 * [backup-simplify]: Simplify 1/2 into 1/2 2.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.427 * [taylor]: Taking taylor expansion of im in im 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (* 1 1) into 1 2.428 * [backup-simplify]: Simplify (/ 1 1) into 1 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [taylor]: Taking taylor expansion of 0 in im 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.436 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.437 * [taylor]: Taking taylor expansion of re in im 2.437 * [backup-simplify]: Simplify re into re 2.437 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.437 * [taylor]: Taking taylor expansion of im in im 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.437 * [taylor]: Taking taylor expansion of re in im 2.437 * [backup-simplify]: Simplify re into re 2.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.438 * [backup-simplify]: Simplify (+ 1 0) into 1 2.438 * [backup-simplify]: Simplify (sqrt 1) into 1 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.439 * [taylor]: Taking taylor expansion of re in re 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.440 * [taylor]: Taking taylor expansion of im in re 2.440 * [backup-simplify]: Simplify im into im 2.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.440 * [taylor]: Taking taylor expansion of re in re 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [backup-simplify]: Simplify (+ 0 1) into 1 2.441 * [backup-simplify]: Simplify (sqrt 1) into 1 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.443 * [taylor]: Taking taylor expansion of re in re 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.443 * [taylor]: Taking taylor expansion of im in re 2.443 * [backup-simplify]: Simplify im into im 2.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.443 * [taylor]: Taking taylor expansion of re in re 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [backup-simplify]: Simplify (+ 0 1) into 1 2.444 * [backup-simplify]: Simplify (sqrt 1) into 1 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.446 * [backup-simplify]: Simplify (+ 1 1) into 2 2.446 * [taylor]: Taking taylor expansion of 2 in im 2.446 * [backup-simplify]: Simplify 2 into 2 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [taylor]: Taking taylor expansion of 0 in im 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 2 into 2 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.449 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.449 * [taylor]: Taking taylor expansion of 1/2 in im 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [taylor]: Taking taylor expansion of 0 in im 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.456 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 2.456 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.456 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.456 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.456 * [taylor]: Taking taylor expansion of re in im 2.456 * [backup-simplify]: Simplify re into re 2.456 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.456 * [taylor]: Taking taylor expansion of im in im 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.456 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.456 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.456 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.457 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.457 * [taylor]: Taking taylor expansion of re in re 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.457 * [taylor]: Taking taylor expansion of im in re 2.457 * [backup-simplify]: Simplify im into im 2.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.457 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.457 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.457 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.457 * [taylor]: Taking taylor expansion of re in re 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.457 * [taylor]: Taking taylor expansion of im in re 2.457 * [backup-simplify]: Simplify im into im 2.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.458 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.458 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.458 * [taylor]: Taking taylor expansion of im in im 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [taylor]: Taking taylor expansion of 0 in im 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.459 * [backup-simplify]: Simplify (+ 1 0) into 1 2.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.459 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.459 * [taylor]: Taking taylor expansion of 1/2 in im 2.459 * [backup-simplify]: Simplify 1/2 into 1/2 2.459 * [taylor]: Taking taylor expansion of im in im 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.461 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.462 * [taylor]: Taking taylor expansion of 0 in im 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.463 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.463 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.463 * [taylor]: Taking taylor expansion of im in im 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (* 1 1) into 1 2.463 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.463 * [taylor]: Taking taylor expansion of re in im 2.463 * [backup-simplify]: Simplify re into re 2.463 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.464 * [backup-simplify]: Simplify (+ 1 0) into 1 2.464 * [backup-simplify]: Simplify (sqrt 1) into 1 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.465 * [taylor]: Taking taylor expansion of im in re 2.465 * [backup-simplify]: Simplify im into im 2.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.466 * [taylor]: Taking taylor expansion of re in re 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (/ 1 1) into 1 2.466 * [backup-simplify]: Simplify (+ 0 1) into 1 2.467 * [backup-simplify]: Simplify (sqrt 1) into 1 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.468 * [taylor]: Taking taylor expansion of im in re 2.468 * [backup-simplify]: Simplify im into im 2.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.468 * [taylor]: Taking taylor expansion of re in re 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (/ 1 1) into 1 2.469 * [backup-simplify]: Simplify (+ 0 1) into 1 2.469 * [backup-simplify]: Simplify (sqrt 1) into 1 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.476 * [taylor]: Taking taylor expansion of 1 in im 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of 0 in im 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.478 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.478 * [taylor]: Taking taylor expansion of 1/2 in im 2.478 * [backup-simplify]: Simplify 1/2 into 1/2 2.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.478 * [taylor]: Taking taylor expansion of im in im 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.481 * [taylor]: Taking taylor expansion of 0 in im 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.483 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.483 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.483 * [taylor]: Taking taylor expansion of im in im 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.484 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.484 * [taylor]: Taking taylor expansion of re in im 2.484 * [backup-simplify]: Simplify re into re 2.484 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.484 * [backup-simplify]: Simplify (+ 1 0) into 1 2.484 * [backup-simplify]: Simplify (sqrt 1) into 1 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.486 * [taylor]: Taking taylor expansion of im in re 2.486 * [backup-simplify]: Simplify im into im 2.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.486 * [taylor]: Taking taylor expansion of re in re 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.487 * [backup-simplify]: Simplify (+ 0 1) into 1 2.487 * [backup-simplify]: Simplify (sqrt 1) into 1 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.488 * [taylor]: Taking taylor expansion of im in re 2.488 * [backup-simplify]: Simplify im into im 2.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.489 * [taylor]: Taking taylor expansion of re in re 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (* 1 1) into 1 2.489 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [backup-simplify]: Simplify (+ 0 1) into 1 2.490 * [backup-simplify]: Simplify (sqrt 1) into 1 2.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (+ 0 0) into 0 2.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.491 * [taylor]: Taking taylor expansion of 1 in im 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [taylor]: Taking taylor expansion of 0 in im 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.494 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.494 * [taylor]: Taking taylor expansion of 1/2 in im 2.494 * [backup-simplify]: Simplify 1/2 into 1/2 2.494 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.494 * [taylor]: Taking taylor expansion of im in im 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.499 * [taylor]: Taking taylor expansion of 0 in im 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.500 * * * [progress]: simplifying candidates 2.502 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow 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(* 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) 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(sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 3.232 * * * [progress]: adding candidates to table 3.696 * * [progress]: iteration 3 / 4 3.696 * * * [progress]: picking best candidate 3.730 * * * * [pick]: Picked # 3.730 * * * [progress]: localizing error 3.749 * * * [progress]: generating rewritten candidates 3.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2) 3.759 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2) 3.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 3.781 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.874 * * * [progress]: generating series expansions 3.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2) 3.874 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 3.874 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 3.874 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 3.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 3.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 3.874 * [taylor]: Taking taylor expansion of 1/3 in im 3.874 * [backup-simplify]: Simplify 1/3 into 1/3 3.874 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 3.874 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.874 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.874 * [taylor]: Taking taylor expansion of re in im 3.874 * [backup-simplify]: Simplify re into re 3.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.874 * [taylor]: Taking taylor expansion of im in im 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.874 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.875 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 3.875 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 3.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 3.875 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.875 * [taylor]: Taking taylor expansion of 1/3 in re 3.875 * [backup-simplify]: Simplify 1/3 into 1/3 3.875 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.875 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.875 * [taylor]: Taking taylor expansion of re in re 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.875 * [taylor]: Taking taylor expansion of im in re 3.875 * [backup-simplify]: Simplify im into im 3.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.875 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.875 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.875 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.876 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 3.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 3.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 3.876 * [taylor]: Taking taylor expansion of 1/3 in re 3.876 * [backup-simplify]: Simplify 1/3 into 1/3 3.876 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 3.876 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.876 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.876 * [taylor]: Taking taylor expansion of re in re 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.876 * [taylor]: Taking taylor expansion of im in re 3.876 * [backup-simplify]: Simplify im into im 3.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.876 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.876 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 3.876 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 3.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 3.876 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 3.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 3.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 3.876 * [taylor]: Taking taylor expansion of 1/3 in im 3.876 * [backup-simplify]: Simplify 1/3 into 1/3 3.876 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 3.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.876 * [taylor]: Taking taylor expansion of im in im 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.877 * [backup-simplify]: Simplify (log 1) into 0 3.878 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.878 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 3.878 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 3.878 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 3.879 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 3.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.881 * [taylor]: Taking taylor expansion of 0 in im 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.882 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 3.883 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (* 1 1) into 1 3.884 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.884 * [backup-simplify]: Simplify (+ 1 0) into 1 3.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 3.886 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 3.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.887 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 3.887 * [taylor]: Taking taylor expansion of 1/3 in im 3.887 * [backup-simplify]: Simplify 1/3 into 1/3 3.887 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 3.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 3.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 3.887 * [taylor]: Taking taylor expansion of 1/3 in im 3.887 * [backup-simplify]: Simplify 1/3 into 1/3 3.887 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.887 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.887 * [taylor]: Taking taylor expansion of im in im 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (* 1 1) into 1 3.888 * [backup-simplify]: Simplify (* 1 1) into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [backup-simplify]: Simplify (log 1) into 0 3.889 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.889 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 3.889 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 3.889 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.890 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.894 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 3.897 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.899 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.902 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 3.906 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.906 * [taylor]: Taking taylor expansion of 0 in im 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.910 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 3.911 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 3.912 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.920 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 3.923 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.923 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 3.924 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.924 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.924 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.924 * [taylor]: Taking taylor expansion of 1/3 in im 3.924 * [backup-simplify]: Simplify 1/3 into 1/3 3.924 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.924 * [taylor]: Taking taylor expansion of im in im 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (* 1 1) into 1 3.925 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.925 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.925 * [taylor]: Taking taylor expansion of re in im 3.925 * [backup-simplify]: Simplify re into re 3.926 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.926 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.926 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [backup-simplify]: Simplify (log 1) into 0 3.927 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.927 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.927 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.927 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.927 * [taylor]: Taking taylor expansion of 1/3 in re 3.927 * [backup-simplify]: Simplify 1/3 into 1/3 3.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.928 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.928 * [taylor]: Taking taylor expansion of im in re 3.928 * [backup-simplify]: Simplify im into im 3.928 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.928 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.928 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.928 * [taylor]: Taking taylor expansion of re in re 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (+ 0 1) into 1 3.930 * [backup-simplify]: Simplify (log 1) into 0 3.930 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.930 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.930 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.930 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.930 * [taylor]: Taking taylor expansion of 1/3 in re 3.931 * [backup-simplify]: Simplify 1/3 into 1/3 3.931 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.931 * [taylor]: Taking taylor expansion of im in re 3.931 * [backup-simplify]: Simplify im into im 3.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.931 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.931 * [taylor]: Taking taylor expansion of re in re 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify (+ 0 1) into 1 3.933 * [backup-simplify]: Simplify (log 1) into 0 3.933 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.933 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.933 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.933 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 3.933 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 3.934 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 3.934 * [taylor]: Taking taylor expansion of -2/3 in im 3.934 * [backup-simplify]: Simplify -2/3 into -2/3 3.934 * [taylor]: Taking taylor expansion of (log re) in im 3.934 * [taylor]: Taking taylor expansion of re in im 3.934 * [backup-simplify]: Simplify re into re 3.934 * [backup-simplify]: Simplify (log re) into (log re) 3.934 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 3.934 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.934 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.938 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.938 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 3.939 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.939 * [taylor]: Taking taylor expansion of 0 in im 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.941 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 3.942 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.947 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.948 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 3.949 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 3.949 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 3.949 * [taylor]: Taking taylor expansion of 1/3 in im 3.949 * [backup-simplify]: Simplify 1/3 into 1/3 3.949 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 3.949 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 3.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 3.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 3.950 * [taylor]: Taking taylor expansion of 1/3 in im 3.950 * [backup-simplify]: Simplify 1/3 into 1/3 3.950 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 3.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.950 * [taylor]: Taking taylor expansion of re in im 3.950 * [backup-simplify]: Simplify re into re 3.950 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.950 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 3.950 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 3.951 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 3.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.951 * [taylor]: Taking taylor expansion of im in im 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (* 1 1) into 1 3.952 * [backup-simplify]: Simplify (/ 1 1) into 1 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 3.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 3.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 3.964 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.965 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.966 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 3.966 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 3.967 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.970 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.972 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.987 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.991 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.991 * [taylor]: Taking taylor expansion of 0 in im 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 3.991 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 3.991 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 3.991 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 3.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.992 * [taylor]: Taking taylor expansion of 1/3 in im 3.992 * [backup-simplify]: Simplify 1/3 into 1/3 3.992 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.992 * [taylor]: Taking taylor expansion of im in im 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.993 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.993 * [taylor]: Taking taylor expansion of re in im 3.993 * [backup-simplify]: Simplify re into re 3.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.993 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.993 * [backup-simplify]: Simplify (+ 1 0) into 1 3.994 * [backup-simplify]: Simplify (log 1) into 0 3.994 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.995 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.995 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.995 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.995 * [taylor]: Taking taylor expansion of 1/3 in re 3.995 * [backup-simplify]: Simplify 1/3 into 1/3 3.995 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.995 * [taylor]: Taking taylor expansion of im in re 3.995 * [backup-simplify]: Simplify im into im 3.995 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.995 * [taylor]: Taking taylor expansion of re in re 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [backup-simplify]: Simplify (+ 0 1) into 1 3.997 * [backup-simplify]: Simplify (log 1) into 0 3.997 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.998 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 3.998 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 3.998 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 3.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.998 * [taylor]: Taking taylor expansion of 1/3 in re 3.998 * [backup-simplify]: Simplify 1/3 into 1/3 3.998 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.998 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.998 * [taylor]: Taking taylor expansion of im in re 3.998 * [backup-simplify]: Simplify im into im 3.998 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.998 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.998 * [taylor]: Taking taylor expansion of re in re 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (* 1 1) into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 4.000 * [backup-simplify]: Simplify (+ 0 1) into 1 4.000 * [backup-simplify]: Simplify (log 1) into 0 4.001 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.001 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.001 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.001 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 4.001 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 4.001 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 4.001 * [taylor]: Taking taylor expansion of -2/3 in im 4.001 * [backup-simplify]: Simplify -2/3 into -2/3 4.001 * [taylor]: Taking taylor expansion of (log re) in im 4.001 * [taylor]: Taking taylor expansion of re in im 4.001 * [backup-simplify]: Simplify re into re 4.001 * [backup-simplify]: Simplify (log re) into (log re) 4.001 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 4.001 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.002 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.005 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 4.007 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.007 * [taylor]: Taking taylor expansion of 0 in im 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.008 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 4.009 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.014 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.015 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 4.016 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 4.016 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 4.016 * [taylor]: Taking taylor expansion of 1/3 in im 4.016 * [backup-simplify]: Simplify 1/3 into 1/3 4.016 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 4.016 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 4.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 4.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 4.016 * [taylor]: Taking taylor expansion of 1/3 in im 4.016 * [backup-simplify]: Simplify 1/3 into 1/3 4.016 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 4.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.016 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.016 * [taylor]: Taking taylor expansion of re in im 4.017 * [backup-simplify]: Simplify re into re 4.017 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.017 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 4.017 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 4.017 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.017 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.017 * [taylor]: Taking taylor expansion of im in im 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 4.024 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 4.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 4.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 4.030 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.032 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 4.032 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 4.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.036 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.037 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.045 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.049 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.049 * [taylor]: Taking taylor expansion of 0 in im 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 4.049 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2) 4.050 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 4.050 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 4.050 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 4.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 4.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 4.050 * [taylor]: Taking taylor expansion of 1/3 in im 4.050 * [backup-simplify]: Simplify 1/3 into 1/3 4.050 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 4.050 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.050 * [taylor]: Taking taylor expansion of re in im 4.050 * [backup-simplify]: Simplify re into re 4.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.050 * [taylor]: Taking taylor expansion of im in im 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.050 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.051 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 4.051 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 4.051 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 4.051 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 4.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 4.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 4.051 * [taylor]: Taking taylor expansion of 1/3 in re 4.051 * [backup-simplify]: Simplify 1/3 into 1/3 4.051 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.051 * [taylor]: Taking taylor expansion of re in re 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.051 * [taylor]: Taking taylor expansion of im in re 4.051 * [backup-simplify]: Simplify im into im 4.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.052 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.052 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.052 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 4.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 4.052 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 4.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 4.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 4.052 * [taylor]: Taking taylor expansion of 1/3 in re 4.052 * [backup-simplify]: Simplify 1/3 into 1/3 4.052 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.052 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.052 * [taylor]: Taking taylor expansion of re in re 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.053 * [taylor]: Taking taylor expansion of im in re 4.053 * [backup-simplify]: Simplify im into im 4.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.053 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.053 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.053 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 4.053 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 4.053 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 4.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 4.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 4.053 * [taylor]: Taking taylor expansion of 1/3 in im 4.053 * [backup-simplify]: Simplify 1/3 into 1/3 4.053 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 4.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.054 * [taylor]: Taking taylor expansion of im in im 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (* 1 1) into 1 4.055 * [backup-simplify]: Simplify (log 1) into 0 4.055 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.055 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 4.055 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 4.055 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 4.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 4.058 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.058 * [taylor]: Taking taylor expansion of 0 in im 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.061 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 4.063 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.064 * [backup-simplify]: Simplify (+ 1 0) into 1 4.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 4.067 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 4.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.068 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 4.068 * [taylor]: Taking taylor expansion of 1/3 in im 4.068 * [backup-simplify]: Simplify 1/3 into 1/3 4.068 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 4.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 4.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 4.068 * [taylor]: Taking taylor expansion of 1/3 in im 4.068 * [backup-simplify]: Simplify 1/3 into 1/3 4.068 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 4.069 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.069 * [taylor]: Taking taylor expansion of im in im 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (log 1) into 0 4.071 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 4.071 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 4.071 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 4.071 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.071 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.076 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 4.078 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.080 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 4.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 4.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.087 * [taylor]: Taking taylor expansion of 0 in im 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.091 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 4.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 4.092 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.100 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.101 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 4.103 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 4.104 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 4.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 4.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 4.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.105 * [taylor]: Taking taylor expansion of 1/3 in im 4.105 * [backup-simplify]: Simplify 1/3 into 1/3 4.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.105 * [taylor]: Taking taylor expansion of im in im 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.106 * [taylor]: Taking taylor expansion of re in im 4.106 * [backup-simplify]: Simplify re into re 4.106 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.106 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.106 * [backup-simplify]: Simplify (+ 1 0) into 1 4.107 * [backup-simplify]: Simplify (log 1) into 0 4.107 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.107 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 4.108 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 4.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.108 * [taylor]: Taking taylor expansion of 1/3 in re 4.108 * [backup-simplify]: Simplify 1/3 into 1/3 4.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.108 * [taylor]: Taking taylor expansion of im in re 4.108 * [backup-simplify]: Simplify im into im 4.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.108 * [taylor]: Taking taylor expansion of re in re 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify (+ 0 1) into 1 4.110 * [backup-simplify]: Simplify (log 1) into 0 4.111 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.111 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.111 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.111 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.111 * [taylor]: Taking taylor expansion of 1/3 in re 4.111 * [backup-simplify]: Simplify 1/3 into 1/3 4.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.111 * [taylor]: Taking taylor expansion of im in re 4.111 * [backup-simplify]: Simplify im into im 4.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.112 * [taylor]: Taking taylor expansion of re in re 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [backup-simplify]: Simplify (+ 0 1) into 1 4.113 * [backup-simplify]: Simplify (log 1) into 0 4.114 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.114 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.114 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.114 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 4.114 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 4.114 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 4.114 * [taylor]: Taking taylor expansion of -2/3 in im 4.114 * [backup-simplify]: Simplify -2/3 into -2/3 4.114 * [taylor]: Taking taylor expansion of (log re) in im 4.114 * [taylor]: Taking taylor expansion of re in im 4.114 * [backup-simplify]: Simplify re into re 4.114 * [backup-simplify]: Simplify (log re) into (log re) 4.115 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 4.115 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.115 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.118 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 4.120 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.120 * [taylor]: Taking taylor expansion of 0 in im 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.122 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 4.122 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.127 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.128 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 4.129 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 4.129 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 4.129 * [taylor]: Taking taylor expansion of 1/3 in im 4.129 * [backup-simplify]: Simplify 1/3 into 1/3 4.129 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 4.129 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 4.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 4.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 4.129 * [taylor]: Taking taylor expansion of 1/3 in im 4.129 * [backup-simplify]: Simplify 1/3 into 1/3 4.129 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 4.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.129 * [taylor]: Taking taylor expansion of re in im 4.130 * [backup-simplify]: Simplify re into re 4.130 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.130 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.130 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 4.130 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 4.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 4.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.130 * [taylor]: Taking taylor expansion of im in im 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.131 * [backup-simplify]: Simplify (/ 1 1) into 1 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 4.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 4.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 4.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.138 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 4.139 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 4.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.146 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.147 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.151 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.151 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.152 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.153 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.153 * [taylor]: Taking taylor expansion of 0 in im 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 4.154 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 4.154 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 4.154 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 4.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.154 * [taylor]: Taking taylor expansion of 1/3 in im 4.154 * [backup-simplify]: Simplify 1/3 into 1/3 4.154 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.154 * [taylor]: Taking taylor expansion of im in im 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (* 1 1) into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.155 * [taylor]: Taking taylor expansion of re in im 4.155 * [backup-simplify]: Simplify re into re 4.155 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.155 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.155 * [backup-simplify]: Simplify (+ 1 0) into 1 4.155 * [backup-simplify]: Simplify (log 1) into 0 4.156 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.156 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 4.156 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 4.156 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.156 * [taylor]: Taking taylor expansion of 1/3 in re 4.156 * [backup-simplify]: Simplify 1/3 into 1/3 4.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.156 * [taylor]: Taking taylor expansion of im in re 4.156 * [backup-simplify]: Simplify im into im 4.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.156 * [taylor]: Taking taylor expansion of re in re 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (* 1 1) into 1 4.157 * [backup-simplify]: Simplify (/ 1 1) into 1 4.157 * [backup-simplify]: Simplify (+ 0 1) into 1 4.157 * [backup-simplify]: Simplify (log 1) into 0 4.157 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.158 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.158 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.158 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.158 * [taylor]: Taking taylor expansion of 1/3 in re 4.158 * [backup-simplify]: Simplify 1/3 into 1/3 4.158 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.158 * [taylor]: Taking taylor expansion of im in re 4.158 * [backup-simplify]: Simplify im into im 4.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.158 * [taylor]: Taking taylor expansion of re in re 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (* 1 1) into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.159 * [backup-simplify]: Simplify (+ 0 1) into 1 4.159 * [backup-simplify]: Simplify (log 1) into 0 4.159 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.159 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.159 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.159 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 4.159 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 4.159 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 4.160 * [taylor]: Taking taylor expansion of -2/3 in im 4.160 * [backup-simplify]: Simplify -2/3 into -2/3 4.160 * [taylor]: Taking taylor expansion of (log re) in im 4.160 * [taylor]: Taking taylor expansion of re in im 4.160 * [backup-simplify]: Simplify re into re 4.160 * [backup-simplify]: Simplify (log re) into (log re) 4.160 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 4.160 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.160 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.162 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 4.163 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.163 * [taylor]: Taking taylor expansion of 0 in im 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.164 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 4.165 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.168 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.169 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 4.170 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 4.170 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 4.170 * [taylor]: Taking taylor expansion of 1/3 in im 4.170 * [backup-simplify]: Simplify 1/3 into 1/3 4.170 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 4.170 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 4.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 4.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 4.170 * [taylor]: Taking taylor expansion of 1/3 in im 4.170 * [backup-simplify]: Simplify 1/3 into 1/3 4.170 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 4.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.171 * [taylor]: Taking taylor expansion of re in im 4.171 * [backup-simplify]: Simplify re into re 4.171 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.171 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.171 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 4.171 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 4.171 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.171 * [taylor]: Taking taylor expansion of im in im 4.171 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (* 1 1) into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 4.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.179 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 4.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 4.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 4.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.186 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 4.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.190 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.191 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.198 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.199 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.202 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.202 * [taylor]: Taking taylor expansion of 0 in im 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 4.202 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 4.203 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 4.203 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 4.203 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 4.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 4.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 4.203 * [taylor]: Taking taylor expansion of 1/3 in im 4.203 * [backup-simplify]: Simplify 1/3 into 1/3 4.203 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 4.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.203 * [taylor]: Taking taylor expansion of re in im 4.203 * [backup-simplify]: Simplify re into re 4.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.203 * [taylor]: Taking taylor expansion of im in im 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.203 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.203 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 4.204 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 4.204 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 4.204 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 4.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 4.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 4.204 * [taylor]: Taking taylor expansion of 1/3 in re 4.204 * [backup-simplify]: Simplify 1/3 into 1/3 4.204 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.204 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.204 * [taylor]: Taking taylor expansion of re in re 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.204 * [taylor]: Taking taylor expansion of im in re 4.204 * [backup-simplify]: Simplify im into im 4.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.204 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.204 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.205 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 4.205 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 4.205 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 4.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 4.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 4.205 * [taylor]: Taking taylor expansion of 1/3 in re 4.205 * [backup-simplify]: Simplify 1/3 into 1/3 4.205 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 4.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.205 * [taylor]: Taking taylor expansion of re in re 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.205 * [taylor]: Taking taylor expansion of im in re 4.205 * [backup-simplify]: Simplify im into im 4.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.205 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.205 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.205 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 4.206 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 4.206 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 4.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 4.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 4.206 * [taylor]: Taking taylor expansion of 1/3 in im 4.206 * [backup-simplify]: Simplify 1/3 into 1/3 4.206 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 4.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.206 * [taylor]: Taking taylor expansion of im in im 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (* 1 1) into 1 4.207 * [backup-simplify]: Simplify (log 1) into 0 4.207 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.207 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 4.208 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 4.208 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 4.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.208 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 4.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in im 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 4.214 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.216 * [backup-simplify]: Simplify (+ 1 0) into 1 4.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 4.218 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 4.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.219 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 4.219 * [taylor]: Taking taylor expansion of 1/3 in im 4.219 * [backup-simplify]: Simplify 1/3 into 1/3 4.219 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 4.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 4.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 4.219 * [taylor]: Taking taylor expansion of 1/3 in im 4.220 * [backup-simplify]: Simplify 1/3 into 1/3 4.220 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 4.220 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.220 * [taylor]: Taking taylor expansion of im in im 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [backup-simplify]: Simplify (log 1) into 0 4.222 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 4.222 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 4.222 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 4.222 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.222 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.227 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 4.229 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.231 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.231 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 4.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 4.238 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.238 * [taylor]: Taking taylor expansion of 0 in im 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.242 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 4.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 4.243 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.251 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 4.254 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 4.255 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 4.255 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 4.255 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 4.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.255 * [taylor]: Taking taylor expansion of 1/3 in im 4.255 * [backup-simplify]: Simplify 1/3 into 1/3 4.256 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.256 * [taylor]: Taking taylor expansion of im in im 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify (* 1 1) into 1 4.257 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.257 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.257 * [taylor]: Taking taylor expansion of re in im 4.257 * [backup-simplify]: Simplify re into re 4.257 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.257 * [backup-simplify]: Simplify (+ 1 0) into 1 4.258 * [backup-simplify]: Simplify (log 1) into 0 4.258 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.259 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 4.259 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 4.259 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.259 * [taylor]: Taking taylor expansion of 1/3 in re 4.259 * [backup-simplify]: Simplify 1/3 into 1/3 4.259 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.259 * [taylor]: Taking taylor expansion of im in re 4.259 * [backup-simplify]: Simplify im into im 4.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.259 * [taylor]: Taking taylor expansion of re in re 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (* 1 1) into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [backup-simplify]: Simplify (+ 0 1) into 1 4.261 * [backup-simplify]: Simplify (log 1) into 0 4.262 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.262 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.262 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.262 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.262 * [taylor]: Taking taylor expansion of 1/3 in re 4.262 * [backup-simplify]: Simplify 1/3 into 1/3 4.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.262 * [taylor]: Taking taylor expansion of im in re 4.262 * [backup-simplify]: Simplify im into im 4.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.263 * [taylor]: Taking taylor expansion of re in re 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (* 1 1) into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [backup-simplify]: Simplify (+ 0 1) into 1 4.264 * [backup-simplify]: Simplify (log 1) into 0 4.265 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.265 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.265 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.265 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 4.265 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 4.265 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 4.265 * [taylor]: Taking taylor expansion of -2/3 in im 4.265 * [backup-simplify]: Simplify -2/3 into -2/3 4.265 * [taylor]: Taking taylor expansion of (log re) in im 4.265 * [taylor]: Taking taylor expansion of re in im 4.265 * [backup-simplify]: Simplify re into re 4.265 * [backup-simplify]: Simplify (log re) into (log re) 4.266 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 4.266 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.266 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.270 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 4.271 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.271 * [taylor]: Taking taylor expansion of 0 in im 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.273 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 4.273 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.276 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.278 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.279 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 4.280 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 4.280 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 4.280 * [taylor]: Taking taylor expansion of 1/3 in im 4.280 * [backup-simplify]: Simplify 1/3 into 1/3 4.280 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 4.280 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 4.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 4.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 4.280 * [taylor]: Taking taylor expansion of 1/3 in im 4.280 * [backup-simplify]: Simplify 1/3 into 1/3 4.280 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.281 * [taylor]: Taking taylor expansion of re in im 4.281 * [backup-simplify]: Simplify re into re 4.281 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.281 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 4.281 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 4.281 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 4.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.282 * [taylor]: Taking taylor expansion of im in im 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (* 1 1) into 1 4.282 * [backup-simplify]: Simplify (/ 1 1) into 1 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 4.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 4.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 4.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 4.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.303 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 4.303 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 4.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.307 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.309 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.316 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.316 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.319 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.319 * [taylor]: Taking taylor expansion of 0 in im 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 4.319 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 4.319 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 4.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 4.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.319 * [taylor]: Taking taylor expansion of 1/3 in im 4.319 * [backup-simplify]: Simplify 1/3 into 1/3 4.319 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.319 * [taylor]: Taking taylor expansion of im in im 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (* 1 1) into 1 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.320 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.320 * [taylor]: Taking taylor expansion of re in im 4.320 * [backup-simplify]: Simplify re into re 4.320 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.320 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.320 * [backup-simplify]: Simplify (+ 1 0) into 1 4.321 * [backup-simplify]: Simplify (log 1) into 0 4.321 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.321 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 4.321 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 4.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.321 * [taylor]: Taking taylor expansion of 1/3 in re 4.321 * [backup-simplify]: Simplify 1/3 into 1/3 4.321 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.321 * [taylor]: Taking taylor expansion of im in re 4.321 * [backup-simplify]: Simplify im into im 4.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.322 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.322 * [taylor]: Taking taylor expansion of re in re 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (* 1 1) into 1 4.322 * [backup-simplify]: Simplify (/ 1 1) into 1 4.322 * [backup-simplify]: Simplify (+ 0 1) into 1 4.323 * [backup-simplify]: Simplify (log 1) into 0 4.323 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.323 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.323 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.323 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 4.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.323 * [taylor]: Taking taylor expansion of 1/3 in re 4.323 * [backup-simplify]: Simplify 1/3 into 1/3 4.323 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.323 * [taylor]: Taking taylor expansion of im in re 4.323 * [backup-simplify]: Simplify im into im 4.323 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.323 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.323 * [taylor]: Taking taylor expansion of re in re 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (* 1 1) into 1 4.324 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [backup-simplify]: Simplify (+ 0 1) into 1 4.324 * [backup-simplify]: Simplify (log 1) into 0 4.325 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.325 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 4.325 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.325 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 4.325 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 4.325 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 4.325 * [taylor]: Taking taylor expansion of -2/3 in im 4.325 * [backup-simplify]: Simplify -2/3 into -2/3 4.325 * [taylor]: Taking taylor expansion of (log re) in im 4.325 * [taylor]: Taking taylor expansion of re in im 4.325 * [backup-simplify]: Simplify re into re 4.325 * [backup-simplify]: Simplify (log re) into (log re) 4.325 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 4.325 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 4.325 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.327 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 4.328 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.328 * [taylor]: Taking taylor expansion of 0 in im 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.329 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 4.330 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.332 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.333 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 4.333 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 4.333 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 4.333 * [taylor]: Taking taylor expansion of 1/3 in im 4.333 * [backup-simplify]: Simplify 1/3 into 1/3 4.333 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 4.333 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 4.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 4.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 4.334 * [taylor]: Taking taylor expansion of 1/3 in im 4.334 * [backup-simplify]: Simplify 1/3 into 1/3 4.334 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.334 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.334 * [taylor]: Taking taylor expansion of re in im 4.334 * [backup-simplify]: Simplify re into re 4.334 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.334 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.334 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 4.334 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 4.334 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.334 * [taylor]: Taking taylor expansion of im in im 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 4.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 4.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 4.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 4.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 4.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 4.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.342 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 4.343 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 4.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.345 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.350 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.352 * [taylor]: Taking taylor expansion of 0 in im 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 4.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.352 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 4.352 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.352 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.352 * [taylor]: Taking taylor expansion of re in im 4.352 * [backup-simplify]: Simplify re into re 4.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.353 * [taylor]: Taking taylor expansion of im in im 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.353 * [taylor]: Taking taylor expansion of re in re 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.353 * [taylor]: Taking taylor expansion of im in re 4.353 * [backup-simplify]: Simplify im into im 4.353 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.353 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.354 * [backup-simplify]: Simplify (+ 0 0) into 0 4.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.354 * [taylor]: Taking taylor expansion of re in re 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.354 * [taylor]: Taking taylor expansion of im in re 4.354 * [backup-simplify]: Simplify im into im 4.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.354 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.355 * [taylor]: Taking taylor expansion of im in im 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [taylor]: Taking taylor expansion of 0 in im 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (* 1 1) into 1 4.355 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.356 * [backup-simplify]: Simplify (+ 1 0) into 1 4.356 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.356 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.356 * [taylor]: Taking taylor expansion of 1/2 in im 4.356 * [backup-simplify]: Simplify 1/2 into 1/2 4.356 * [taylor]: Taking taylor expansion of im in im 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.358 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.358 * [taylor]: Taking taylor expansion of 0 in im 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.360 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.360 * [taylor]: Taking taylor expansion of im in im 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.360 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.360 * [taylor]: Taking taylor expansion of re in im 4.360 * [backup-simplify]: Simplify re into re 4.360 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.360 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.361 * [backup-simplify]: Simplify (+ 1 0) into 1 4.361 * [backup-simplify]: Simplify (sqrt 1) into 1 4.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.363 * [taylor]: Taking taylor expansion of im in re 4.363 * [backup-simplify]: Simplify im into im 4.363 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.363 * [taylor]: Taking taylor expansion of re in re 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [backup-simplify]: Simplify (* 1 1) into 1 4.363 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [backup-simplify]: Simplify (+ 0 1) into 1 4.364 * [backup-simplify]: Simplify (sqrt 1) into 1 4.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.365 * [taylor]: Taking taylor expansion of im in re 4.365 * [backup-simplify]: Simplify im into im 4.365 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.365 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.366 * [taylor]: Taking taylor expansion of re in re 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [backup-simplify]: Simplify (+ 0 1) into 1 4.367 * [backup-simplify]: Simplify (sqrt 1) into 1 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.368 * [taylor]: Taking taylor expansion of 1 in im 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of 0 in im 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.370 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.370 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.370 * [taylor]: Taking taylor expansion of 1/2 in im 4.370 * [backup-simplify]: Simplify 1/2 into 1/2 4.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.370 * [taylor]: Taking taylor expansion of im in im 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.374 * [taylor]: Taking taylor expansion of 0 in im 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.376 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.376 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.376 * [taylor]: Taking taylor expansion of im in im 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (* 1 1) into 1 4.376 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.377 * [taylor]: Taking taylor expansion of re in im 4.377 * [backup-simplify]: Simplify re into re 4.377 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.377 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.377 * [backup-simplify]: Simplify (+ 1 0) into 1 4.377 * [backup-simplify]: Simplify (sqrt 1) into 1 4.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ 0 0) into 0 4.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.379 * [taylor]: Taking taylor expansion of im in re 4.379 * [backup-simplify]: Simplify im into im 4.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.379 * [taylor]: Taking taylor expansion of re in re 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [backup-simplify]: Simplify (+ 0 1) into 1 4.380 * [backup-simplify]: Simplify (sqrt 1) into 1 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.382 * [taylor]: Taking taylor expansion of im in re 4.382 * [backup-simplify]: Simplify im into im 4.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.382 * [taylor]: Taking taylor expansion of re in re 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (* 1 1) into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.383 * [backup-simplify]: Simplify (+ 0 1) into 1 4.383 * [backup-simplify]: Simplify (sqrt 1) into 1 4.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.384 * [taylor]: Taking taylor expansion of 1 in im 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [taylor]: Taking taylor expansion of 0 in im 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.386 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.386 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.386 * [taylor]: Taking taylor expansion of 1/2 in im 4.386 * [backup-simplify]: Simplify 1/2 into 1/2 4.386 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.386 * [taylor]: Taking taylor expansion of im in im 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (* 1 1) into 1 4.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.390 * [taylor]: Taking taylor expansion of 0 in im 4.390 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.391 * * * [progress]: simplifying candidates 4.393 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 5.317 * * * [progress]: adding candidates to table 5.781 * * [progress]: iteration 4 / 4 5.781 * * * [progress]: picking best candidate 5.827 * * * * [pick]: Picked # 5.827 * * * [progress]: localizing error 5.850 * * * [progress]: generating rewritten candidates 5.850 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 5.858 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 5.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 5.958 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 5.983 * * * [progress]: generating series expansions 5.983 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 5.983 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.983 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.983 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.984 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.984 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.984 * [taylor]: Taking taylor expansion of re in im 5.984 * [backup-simplify]: Simplify re into re 5.984 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.984 * [taylor]: Taking taylor expansion of im in im 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.984 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.984 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.984 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.985 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.985 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.985 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.985 * [taylor]: Taking taylor expansion of re in re 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.986 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.986 * [taylor]: Taking taylor expansion of im in re 5.986 * [backup-simplify]: Simplify im into im 5.986 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.986 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.986 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.986 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.987 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.987 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.987 * [taylor]: Taking taylor expansion of re in re 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.987 * [taylor]: Taking taylor expansion of im in re 5.987 * [backup-simplify]: Simplify im into im 5.987 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.988 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.988 * [backup-simplify]: Simplify (+ 0 0) into 0 5.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.989 * [taylor]: Taking taylor expansion of im in im 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [taylor]: Taking taylor expansion of 0 in im 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify (* 1 1) into 1 5.990 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.990 * [backup-simplify]: Simplify (+ 1 0) into 1 5.991 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.991 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.991 * [taylor]: Taking taylor expansion of 1/2 in im 5.991 * [backup-simplify]: Simplify 1/2 into 1/2 5.991 * [taylor]: Taking taylor expansion of im in im 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 1 into 1 5.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.994 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.995 * [backup-simplify]: Simplify (+ 0 0) into 0 5.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.995 * [taylor]: Taking taylor expansion of 0 in im 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.997 * [taylor]: Taking taylor expansion of im in im 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (* 1 1) into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.998 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.998 * [taylor]: Taking taylor expansion of re in im 5.998 * [backup-simplify]: Simplify re into re 5.998 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.999 * [backup-simplify]: Simplify (+ 1 0) into 1 5.999 * [backup-simplify]: Simplify (sqrt 1) into 1 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ 0 0) into 0 6.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.002 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.002 * [taylor]: Taking taylor expansion of im in re 6.002 * [backup-simplify]: Simplify im into im 6.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.003 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.003 * [taylor]: Taking taylor expansion of re in re 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [backup-simplify]: Simplify (* 1 1) into 1 6.003 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [backup-simplify]: Simplify (+ 0 1) into 1 6.004 * [backup-simplify]: Simplify (sqrt 1) into 1 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.007 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.007 * [taylor]: Taking taylor expansion of im in re 6.007 * [backup-simplify]: Simplify im into im 6.007 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.007 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.007 * [taylor]: Taking taylor expansion of re in re 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (* 1 1) into 1 6.008 * [backup-simplify]: Simplify (/ 1 1) into 1 6.009 * [backup-simplify]: Simplify (+ 0 1) into 1 6.009 * [backup-simplify]: Simplify (sqrt 1) into 1 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.011 * [taylor]: Taking taylor expansion of 1 in im 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of 0 in im 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.015 * [taylor]: Taking taylor expansion of 1/2 in im 6.015 * [backup-simplify]: Simplify 1/2 into 1/2 6.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.015 * [taylor]: Taking taylor expansion of im in im 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.015 * [backup-simplify]: Simplify (* 1 1) into 1 6.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.021 * [taylor]: Taking taylor expansion of 0 in im 6.021 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.024 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.024 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.024 * [taylor]: Taking taylor expansion of im in im 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (* 1 1) into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.025 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.025 * [taylor]: Taking taylor expansion of re in im 6.025 * [backup-simplify]: Simplify re into re 6.025 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.026 * [backup-simplify]: Simplify (+ 1 0) into 1 6.026 * [backup-simplify]: Simplify (sqrt 1) into 1 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.029 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.029 * [taylor]: Taking taylor expansion of im in re 6.029 * [backup-simplify]: Simplify im into im 6.029 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.029 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.029 * [taylor]: Taking taylor expansion of re in re 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (* 1 1) into 1 6.030 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [backup-simplify]: Simplify (+ 0 1) into 1 6.031 * [backup-simplify]: Simplify (sqrt 1) into 1 6.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.034 * [taylor]: Taking taylor expansion of im in re 6.034 * [backup-simplify]: Simplify im into im 6.034 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.034 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.034 * [taylor]: Taking taylor expansion of re in re 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.035 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [backup-simplify]: Simplify (+ 0 1) into 1 6.036 * [backup-simplify]: Simplify (sqrt 1) into 1 6.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.038 * [taylor]: Taking taylor expansion of 1 in im 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of 0 in im 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.042 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.042 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.042 * [taylor]: Taking taylor expansion of 1/2 in im 6.042 * [backup-simplify]: Simplify 1/2 into 1/2 6.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.042 * [taylor]: Taking taylor expansion of im in im 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.049 * [taylor]: Taking taylor expansion of 0 in im 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.051 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1) 6.051 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.051 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.051 * [taylor]: Taking taylor expansion of re in im 6.051 * [backup-simplify]: Simplify re into re 6.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.051 * [taylor]: Taking taylor expansion of im in im 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.051 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.052 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.052 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.052 * [backup-simplify]: Simplify (+ 0 0) into 0 6.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.052 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.052 * [taylor]: Taking taylor expansion of re in re 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.052 * [taylor]: Taking taylor expansion of im in re 6.052 * [backup-simplify]: Simplify im into im 6.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.053 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.053 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.053 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.054 * [taylor]: Taking taylor expansion of re in re 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.054 * [taylor]: Taking taylor expansion of im in re 6.054 * [backup-simplify]: Simplify im into im 6.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.055 * [taylor]: Taking taylor expansion of im in im 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [taylor]: Taking taylor expansion of 0 in im 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.056 * [backup-simplify]: Simplify (+ 1 0) into 1 6.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.057 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.057 * [taylor]: Taking taylor expansion of 1/2 in im 6.057 * [backup-simplify]: Simplify 1/2 into 1/2 6.057 * [taylor]: Taking taylor expansion of im in im 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.060 * [taylor]: Taking taylor expansion of 0 in im 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.062 * [taylor]: Taking taylor expansion of im in im 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.063 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.063 * [taylor]: Taking taylor expansion of re in im 6.063 * [backup-simplify]: Simplify re into re 6.063 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.063 * [backup-simplify]: Simplify (+ 1 0) into 1 6.064 * [backup-simplify]: Simplify (sqrt 1) into 1 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.066 * [taylor]: Taking taylor expansion of im in re 6.066 * [backup-simplify]: Simplify im into im 6.066 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.066 * [taylor]: Taking taylor expansion of re in re 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* 1 1) into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.067 * [backup-simplify]: Simplify (+ 0 1) into 1 6.068 * [backup-simplify]: Simplify (sqrt 1) into 1 6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.070 * [taylor]: Taking taylor expansion of im in re 6.070 * [backup-simplify]: Simplify im into im 6.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.070 * [taylor]: Taking taylor expansion of re in re 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [backup-simplify]: Simplify (+ 0 1) into 1 6.071 * [backup-simplify]: Simplify (sqrt 1) into 1 6.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.073 * [taylor]: Taking taylor expansion of 1 in im 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [taylor]: Taking taylor expansion of 0 in im 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.075 * [taylor]: Taking taylor expansion of 1/2 in im 6.075 * [backup-simplify]: Simplify 1/2 into 1/2 6.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.075 * [taylor]: Taking taylor expansion of im in im 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.079 * [taylor]: Taking taylor expansion of 0 in im 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.080 * [taylor]: Taking taylor expansion of im in im 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (* 1 1) into 1 6.081 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.081 * [taylor]: Taking taylor expansion of re in im 6.081 * [backup-simplify]: Simplify re into re 6.081 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.081 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.081 * [backup-simplify]: Simplify (+ 1 0) into 1 6.082 * [backup-simplify]: Simplify (sqrt 1) into 1 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.083 * [taylor]: Taking taylor expansion of im in re 6.083 * [backup-simplify]: Simplify im into im 6.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.084 * [taylor]: Taking taylor expansion of re in re 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.084 * [backup-simplify]: Simplify (/ 1 1) into 1 6.084 * [backup-simplify]: Simplify (+ 0 1) into 1 6.085 * [backup-simplify]: Simplify (sqrt 1) into 1 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify (+ 0 0) into 0 6.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.086 * [taylor]: Taking taylor expansion of im in re 6.086 * [backup-simplify]: Simplify im into im 6.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.087 * [taylor]: Taking taylor expansion of re in re 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (* 1 1) into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [backup-simplify]: Simplify (+ 0 1) into 1 6.088 * [backup-simplify]: Simplify (sqrt 1) into 1 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.089 * [taylor]: Taking taylor expansion of 1 in im 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [taylor]: Taking taylor expansion of 0 in im 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.091 * [taylor]: Taking taylor expansion of 1/2 in im 6.091 * [backup-simplify]: Simplify 1/2 into 1/2 6.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.091 * [taylor]: Taking taylor expansion of im in im 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (* 1 1) into 1 6.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.101 * [taylor]: Taking taylor expansion of 0 in im 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 6.102 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 6.103 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 6.103 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.103 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.103 * [taylor]: Taking taylor expansion of re in im 6.103 * [backup-simplify]: Simplify re into re 6.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.103 * [taylor]: Taking taylor expansion of im in im 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.103 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.103 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.103 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.103 * [taylor]: Taking taylor expansion of re in im 6.103 * [backup-simplify]: Simplify re into re 6.103 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.103 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.104 * [taylor]: Taking taylor expansion of re in re 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.104 * [taylor]: Taking taylor expansion of im in re 6.104 * [backup-simplify]: Simplify im into im 6.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.104 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.104 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.104 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.104 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.104 * [taylor]: Taking taylor expansion of re in re 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.104 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.104 * [taylor]: Taking taylor expansion of re in re 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.104 * [taylor]: Taking taylor expansion of im in re 6.104 * [backup-simplify]: Simplify im into im 6.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.105 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.105 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.105 * [backup-simplify]: Simplify (+ 0 0) into 0 6.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.105 * [taylor]: Taking taylor expansion of re in re 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ im 0) into im 6.106 * [taylor]: Taking taylor expansion of im in im 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (- 1) into -1 6.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.106 * [taylor]: Taking taylor expansion of -1 in im 6.106 * [backup-simplify]: Simplify -1 into -1 6.106 * [backup-simplify]: Simplify -1 into -1 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.107 * [backup-simplify]: Simplify (+ 1 0) into 1 6.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.108 * [backup-simplify]: Simplify (- 0) into 0 6.108 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.108 * [taylor]: Taking taylor expansion of 1/2 in im 6.108 * [backup-simplify]: Simplify 1/2 into 1/2 6.108 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.108 * [taylor]: Taking taylor expansion of im in im 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (/ 1 1) into 1 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.111 * [backup-simplify]: Simplify (- 0) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [taylor]: Taking taylor expansion of 0 in im 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 6.113 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3)) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 6.113 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 6.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.113 * [taylor]: Taking taylor expansion of im in im 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.114 * [taylor]: Taking taylor expansion of re in im 6.114 * [backup-simplify]: Simplify re into re 6.114 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.114 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.114 * [backup-simplify]: Simplify (+ 1 0) into 1 6.114 * [backup-simplify]: Simplify (sqrt 1) into 1 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.116 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.116 * [taylor]: Taking taylor expansion of re in im 6.116 * [backup-simplify]: Simplify re into re 6.116 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.116 * [taylor]: Taking taylor expansion of im in re 6.116 * [backup-simplify]: Simplify im into im 6.116 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.116 * [taylor]: Taking taylor expansion of re in re 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [backup-simplify]: Simplify (+ 0 1) into 1 6.117 * [backup-simplify]: Simplify (sqrt 1) into 1 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.119 * [taylor]: Taking taylor expansion of re in re 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (/ 1 1) into 1 6.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.119 * [taylor]: Taking taylor expansion of im in re 6.119 * [backup-simplify]: Simplify im into im 6.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.119 * [taylor]: Taking taylor expansion of re in re 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [backup-simplify]: Simplify (+ 0 1) into 1 6.120 * [backup-simplify]: Simplify (sqrt 1) into 1 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.122 * [taylor]: Taking taylor expansion of re in re 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (/ 1 1) into 1 6.123 * [backup-simplify]: Simplify (- 1) into -1 6.123 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.123 * [taylor]: Taking taylor expansion of 0 in im 6.123 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (- 0) into 0 6.125 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [taylor]: Taking taylor expansion of 0 in im 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.127 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.128 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (- 0) into 0 6.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.130 * [taylor]: Taking taylor expansion of 1/2 in im 6.130 * [backup-simplify]: Simplify 1/2 into 1/2 6.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.130 * [taylor]: Taking taylor expansion of im in im 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (* 1 1) into 1 6.131 * [backup-simplify]: Simplify (/ 1 1) into 1 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (- 0) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [taylor]: Taking taylor expansion of 0 in im 6.139 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3)) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 6.143 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.143 * [taylor]: Taking taylor expansion of re in im 6.143 * [backup-simplify]: Simplify re into re 6.143 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.144 * [taylor]: Taking taylor expansion of im in im 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (* 1 1) into 1 6.145 * [backup-simplify]: Simplify (/ 1 1) into 1 6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.145 * [taylor]: Taking taylor expansion of re in im 6.145 * [backup-simplify]: Simplify re into re 6.145 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.145 * [backup-simplify]: Simplify (+ 1 0) into 1 6.146 * [backup-simplify]: Simplify (sqrt 1) into 1 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (+ 0 0) into 0 6.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.149 * [taylor]: Taking taylor expansion of re in re 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.149 * [taylor]: Taking taylor expansion of im in re 6.149 * [backup-simplify]: Simplify im into im 6.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.150 * [taylor]: Taking taylor expansion of re in re 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (* 1 1) into 1 6.151 * [backup-simplify]: Simplify (/ 1 1) into 1 6.151 * [backup-simplify]: Simplify (+ 0 1) into 1 6.151 * [backup-simplify]: Simplify (sqrt 1) into 1 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.154 * [taylor]: Taking taylor expansion of re in re 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.155 * [taylor]: Taking taylor expansion of im in re 6.155 * [backup-simplify]: Simplify im into im 6.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.155 * [taylor]: Taking taylor expansion of re in re 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (* 1 1) into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [backup-simplify]: Simplify (+ 0 1) into 1 6.156 * [backup-simplify]: Simplify (sqrt 1) into 1 6.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.160 * [backup-simplify]: Simplify (+ 1 1) into 2 6.160 * [taylor]: Taking taylor expansion of 2 in im 6.160 * [backup-simplify]: Simplify 2 into 2 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.161 * [taylor]: Taking taylor expansion of 0 in im 6.161 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify 2 into 2 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.164 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.165 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.165 * [taylor]: Taking taylor expansion of 1/2 in im 6.165 * [backup-simplify]: Simplify 1/2 into 1/2 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.165 * [taylor]: Taking taylor expansion of im in im 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (/ 1 1) into 1 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [taylor]: Taking taylor expansion of 0 in im 6.172 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 6.175 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 6.175 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) 6.175 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0 6.175 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im 6.175 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im 6.176 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im 6.176 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im 6.176 * [taylor]: Taking taylor expansion of 1/8 in im 6.176 * [backup-simplify]: Simplify 1/8 into 1/8 6.176 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 6.176 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.176 * [taylor]: Taking taylor expansion of re in im 6.176 * [backup-simplify]: Simplify re into re 6.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.176 * [taylor]: Taking taylor expansion of im in im 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.176 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.176 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.176 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2))) 6.176 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8) 6.177 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 6.177 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 6.177 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 6.177 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 6.177 * [taylor]: Taking taylor expansion of 1/8 in re 6.177 * [backup-simplify]: Simplify 1/8 into 1/8 6.177 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.177 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.177 * [taylor]: Taking taylor expansion of re in re 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.177 * [taylor]: Taking taylor expansion of im in re 6.177 * [backup-simplify]: Simplify im into im 6.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.177 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.177 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.177 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 6.178 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 6.178 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 6.178 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 6.178 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 6.178 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 6.178 * [taylor]: Taking taylor expansion of 1/8 in re 6.178 * [backup-simplify]: Simplify 1/8 into 1/8 6.178 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.178 * [taylor]: Taking taylor expansion of re in re 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.178 * [taylor]: Taking taylor expansion of im in re 6.178 * [backup-simplify]: Simplify im into im 6.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.178 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.178 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.178 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 6.178 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 6.179 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im) 6.179 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4) 6.179 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 6.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 6.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 6.179 * [taylor]: Taking taylor expansion of 1/4 in im 6.179 * [backup-simplify]: Simplify 1/4 into 1/4 6.179 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 6.179 * [taylor]: Taking taylor expansion of (pow im 3) in im 6.179 * [taylor]: Taking taylor expansion of im in im 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (log 1) into 0 6.180 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 6.180 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 6.180 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 6.180 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 6.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0 6.182 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0 6.183 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0 6.183 * [taylor]: Taking taylor expansion of 0 in im 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.185 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 6.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 6.185 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.185 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify (* 1 1) into 1 6.186 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.186 * [backup-simplify]: Simplify (+ 1 0) into 1 6.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.188 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2))) 6.189 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 6.189 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 6.190 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 6.190 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 6.190 * [taylor]: Taking taylor expansion of 3/8 in im 6.190 * [backup-simplify]: Simplify 3/8 into 3/8 6.190 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 6.190 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 6.190 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 6.190 * [taylor]: Taking taylor expansion of 1/4 in im 6.190 * [backup-simplify]: Simplify 1/4 into 1/4 6.190 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 6.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 6.190 * [taylor]: Taking taylor expansion of (pow im 5) in im 6.190 * [taylor]: Taking taylor expansion of im in im 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.192 * [backup-simplify]: Simplify (log 1) into 0 6.192 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 6.192 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 6.192 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 6.192 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 6.192 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 6.192 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.195 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 6.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 6.197 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.198 * [backup-simplify]: Simplify (+ 0 0) into 0 6.200 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 6.201 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 6.202 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.203 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0 6.203 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 6.203 * [taylor]: Taking taylor expansion of 0 in im 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.207 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 6.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 6.208 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.217 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 6.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 6.220 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 6.221 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 6.221 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 6.221 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 6.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 6.221 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.221 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.221 * [taylor]: Taking taylor expansion of 1/8 in im 6.221 * [backup-simplify]: Simplify 1/8 into 1/8 6.222 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.222 * [taylor]: Taking taylor expansion of im in im 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.230 * [backup-simplify]: Simplify (/ 1 1) into 1 6.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.231 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.231 * [taylor]: Taking taylor expansion of re in im 6.231 * [backup-simplify]: Simplify re into re 6.231 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.231 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.232 * [backup-simplify]: Simplify (+ 1 0) into 1 6.232 * [backup-simplify]: Simplify (log 1) into 0 6.232 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.233 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 6.233 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 6.233 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 6.233 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 6.233 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.233 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.233 * [taylor]: Taking taylor expansion of 1/8 in re 6.233 * [backup-simplify]: Simplify 1/8 into 1/8 6.233 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.233 * [taylor]: Taking taylor expansion of im in re 6.233 * [backup-simplify]: Simplify im into im 6.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.233 * [taylor]: Taking taylor expansion of re in re 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (* 1 1) into 1 6.234 * [backup-simplify]: Simplify (/ 1 1) into 1 6.235 * [backup-simplify]: Simplify (+ 0 1) into 1 6.235 * [backup-simplify]: Simplify (log 1) into 0 6.236 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.236 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 6.236 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 6.236 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 6.236 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 6.236 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.236 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.236 * [taylor]: Taking taylor expansion of 1/8 in re 6.236 * [backup-simplify]: Simplify 1/8 into 1/8 6.236 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.236 * [taylor]: Taking taylor expansion of im in re 6.236 * [backup-simplify]: Simplify im into im 6.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.237 * [taylor]: Taking taylor expansion of re in re 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (* 1 1) into 1 6.238 * [backup-simplify]: Simplify (/ 1 1) into 1 6.238 * [backup-simplify]: Simplify (+ 0 1) into 1 6.239 * [backup-simplify]: Simplify (log 1) into 0 6.239 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.239 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 6.239 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 6.240 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 6.240 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 6.240 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 6.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 6.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 6.240 * [taylor]: Taking taylor expansion of 1/4 in im 6.240 * [backup-simplify]: Simplify 1/4 into 1/4 6.240 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 6.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 6.240 * [taylor]: Taking taylor expansion of (pow re 3) in im 6.240 * [taylor]: Taking taylor expansion of re in im 6.240 * [backup-simplify]: Simplify re into re 6.240 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.241 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 6.241 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 6.241 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 6.241 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 6.241 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 6.242 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.245 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.246 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 6.247 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.247 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 6.247 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 6.247 * [taylor]: Taking taylor expansion of 0 in im 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 6.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 6.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 6.251 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.256 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.256 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 6.258 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 6.259 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 6.261 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 6.261 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 6.261 * [taylor]: Taking taylor expansion of 3/8 in im 6.261 * [backup-simplify]: Simplify 3/8 into 3/8 6.261 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 6.261 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 6.261 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 6.261 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 6.261 * [taylor]: Taking taylor expansion of 1/4 in im 6.261 * [backup-simplify]: Simplify 1/4 into 1/4 6.261 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 6.261 * [taylor]: Taking taylor expansion of (pow re 3) in im 6.261 * [taylor]: Taking taylor expansion of re in im 6.261 * [backup-simplify]: Simplify re into re 6.261 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.261 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 6.262 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 6.262 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 6.262 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 6.262 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.262 * [taylor]: Taking taylor expansion of im in im 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (* 1 1) into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.264 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 6.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 6.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 6.266 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.267 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 6.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 6.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 6.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 6.270 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.270 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 6.271 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 6.271 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 6.272 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.272 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 6.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 6.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 6.275 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.279 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.280 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.281 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.282 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 6.282 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 6.282 * [taylor]: Taking taylor expansion of 0 in im 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 6.283 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 6.283 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 6.283 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 6.283 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 6.283 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.283 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.283 * [taylor]: Taking taylor expansion of 1/8 in im 6.283 * [backup-simplify]: Simplify 1/8 into 1/8 6.283 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.283 * [taylor]: Taking taylor expansion of im in im 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (/ 1 1) into 1 6.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.284 * [taylor]: Taking taylor expansion of re in im 6.284 * [backup-simplify]: Simplify re into re 6.284 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.284 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.284 * [backup-simplify]: Simplify (+ 1 0) into 1 6.284 * [backup-simplify]: Simplify (log 1) into 0 6.285 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.285 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 6.285 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 6.285 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 6.285 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 6.285 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.285 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.285 * [taylor]: Taking taylor expansion of 1/8 in re 6.285 * [backup-simplify]: Simplify 1/8 into 1/8 6.285 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.285 * [taylor]: Taking taylor expansion of im in re 6.285 * [backup-simplify]: Simplify im into im 6.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.285 * [taylor]: Taking taylor expansion of re in re 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (/ 1 1) into 1 6.286 * [backup-simplify]: Simplify (+ 0 1) into 1 6.286 * [backup-simplify]: Simplify (log 1) into 0 6.287 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.287 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 6.287 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 6.287 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 6.287 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 6.287 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.287 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.287 * [taylor]: Taking taylor expansion of 1/8 in re 6.287 * [backup-simplify]: Simplify 1/8 into 1/8 6.287 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.287 * [taylor]: Taking taylor expansion of im in re 6.287 * [backup-simplify]: Simplify im into im 6.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.288 * [taylor]: Taking taylor expansion of re in re 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (* 1 1) into 1 6.289 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [backup-simplify]: Simplify (+ 0 1) into 1 6.289 * [backup-simplify]: Simplify (log 1) into 0 6.290 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.290 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 6.290 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 6.290 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 6.290 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 6.290 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 6.290 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 6.290 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 6.290 * [taylor]: Taking taylor expansion of 1/4 in im 6.290 * [backup-simplify]: Simplify 1/4 into 1/4 6.291 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 6.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 6.291 * [taylor]: Taking taylor expansion of (pow re 3) in im 6.291 * [taylor]: Taking taylor expansion of re in im 6.291 * [backup-simplify]: Simplify re into re 6.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.291 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 6.291 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 6.291 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 6.291 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 6.291 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 6.292 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.295 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.296 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 6.297 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 6.297 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 6.297 * [taylor]: Taking taylor expansion of 0 in im 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.298 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 6.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 6.300 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.303 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.304 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 6.305 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 6.305 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 6.306 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 6.306 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 6.306 * [taylor]: Taking taylor expansion of 3/8 in im 6.306 * [backup-simplify]: Simplify 3/8 into 3/8 6.306 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 6.306 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 6.306 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 6.306 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 6.306 * [taylor]: Taking taylor expansion of 1/4 in im 6.306 * [backup-simplify]: Simplify 1/4 into 1/4 6.307 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 6.307 * [taylor]: Taking taylor expansion of (pow re 3) in im 6.307 * [taylor]: Taking taylor expansion of re in im 6.307 * [backup-simplify]: Simplify re into re 6.307 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.307 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 6.307 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 6.307 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 6.307 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 6.307 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.307 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.307 * [taylor]: Taking taylor expansion of im in im 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (* 1 1) into 1 6.308 * [backup-simplify]: Simplify (/ 1 1) into 1 6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.310 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 6.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 6.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 6.311 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.312 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.312 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 6.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 6.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 6.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 6.315 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.315 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 6.316 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 6.316 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 6.317 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.317 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 6.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 6.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 6.320 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.324 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.324 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.325 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.326 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.327 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 6.328 * [taylor]: Taking taylor expansion of 0 in im 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 6.328 * * * [progress]: simplifying candidates 6.330 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (exp re)) (log (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (exp (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (* (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))) (cbrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (* (* (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (sqrt (- (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re)) (- (pow (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (+ (* re re) (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re))) (- re) (- (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (* re re)) (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) re) (- re) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) 7.161 * * * [progress]: adding candidates to table 7.832 * [progress]: [Phase 3 of 3] Extracting. 7.833 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 7.843 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 7.844 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 7.915 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 7.972 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 8.103 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 8.217 * * * [regime]: Found split indices: #