29.819 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.058 * * * [progress]: [2/2] Setting up program.
0.065 * [progress]: [Phase 2 of 3] Improving.
0.066 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.066 * * [simplify]: iteration 0: 12 enodes
0.070 * * [simplify]: iteration 1: 22 enodes
0.093 * * [simplify]: iteration 2: 24 enodes
0.096 * * [simplify]: iteration complete: 24 enodes
0.096 * * [simplify]: Extracting #0: cost 1 inf + 0
0.096 * * [simplify]: Extracting #1: cost 3 inf + 0
0.096 * * [simplify]: Extracting #2: cost 3 inf + 1
0.096 * * [simplify]: Extracting #3: cost 7 inf + 1
0.096 * * [simplify]: Extracting #4: cost 8 inf + 2
0.096 * * [simplify]: Extracting #5: cost 8 inf + 3
0.096 * * [simplify]: Extracting #6: cost 9 inf + 45
0.096 * * [simplify]: Extracting #7: cost 9 inf + 86
0.097 * * [simplify]: Extracting #8: cost 7 inf + 128
0.097 * * [simplify]: Extracting #9: cost 5 inf + 412
0.097 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.097 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.097 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.098 * * [progress]: iteration 1 / 4
0.098 * * * [progress]: picking best candidate
0.103 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.103 * * * [progress]: localizing error
0.128 * * * [progress]: generating rewritten candidates
0.129 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.167 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.183 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.318 * * * [progress]: generating series expansions
0.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.318 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.318 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.319 * [taylor]: Taking taylor expansion of im in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.319 * [taylor]: Taking taylor expansion of re in im
0.319 * [backup-simplify]: Simplify re into re
0.319 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.320 * [taylor]: Taking taylor expansion of im in re
0.320 * [backup-simplify]: Simplify im into im
0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.321 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.322 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.322 * [taylor]: Taking taylor expansion of im in re
0.322 * [backup-simplify]: Simplify im into im
0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.322 * [taylor]: Taking taylor expansion of re in re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.322 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.322 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.323 * [taylor]: Taking taylor expansion of im in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [taylor]: Taking taylor expansion of 0 in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.324 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (+ 0 1) into 1
0.325 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.325 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.325 * [taylor]: Taking taylor expansion of 1/2 in im
0.325 * [backup-simplify]: Simplify 1/2 into 1/2
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in im
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.331 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.331 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.331 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.331 * [taylor]: Taking taylor expansion of re in im
0.331 * [backup-simplify]: Simplify re into re
0.331 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.331 * [taylor]: Taking taylor expansion of im in im
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.337 * [taylor]: Taking taylor expansion of im in re
0.337 * [backup-simplify]: Simplify im into im
0.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.337 * [backup-simplify]: Simplify (+ 1 0) into 1
0.338 * [backup-simplify]: Simplify (sqrt 1) into 1
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (* 1 1) into 1
0.341 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.341 * [taylor]: Taking taylor expansion of im in re
0.341 * [backup-simplify]: Simplify im into im
0.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.342 * [backup-simplify]: Simplify (+ 1 0) into 1
0.342 * [backup-simplify]: Simplify (sqrt 1) into 1
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.345 * [taylor]: Taking taylor expansion of 1 in im
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of 0 in im
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.348 * [taylor]: Taking taylor expansion of 1/2 in im
0.348 * [backup-simplify]: Simplify 1/2 into 1/2
0.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.348 * [taylor]: Taking taylor expansion of im in im
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.351 * [taylor]: Taking taylor expansion of 0 in im
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.353 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.353 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.353 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.353 * [taylor]: Taking taylor expansion of re in im
0.353 * [backup-simplify]: Simplify re into re
0.353 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.353 * [taylor]: Taking taylor expansion of im in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [backup-simplify]: Simplify (+ 0 1) into 1
0.354 * [backup-simplify]: Simplify (sqrt 1) into 1
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.356 * [taylor]: Taking taylor expansion of re in re
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.356 * [taylor]: Taking taylor expansion of im in re
0.356 * [backup-simplify]: Simplify im into im
0.356 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (sqrt 1) into 1
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.359 * [taylor]: Taking taylor expansion of re in re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.359 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.359 * [taylor]: Taking taylor expansion of im in re
0.359 * [backup-simplify]: Simplify im into im
0.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.359 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.360 * [backup-simplify]: Simplify (+ 1 0) into 1
0.360 * [backup-simplify]: Simplify (sqrt 1) into 1
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.362 * [taylor]: Taking taylor expansion of 1 in im
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of 0 in im
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.364 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.364 * [taylor]: Taking taylor expansion of 1/2 in im
0.364 * [backup-simplify]: Simplify 1/2 into 1/2
0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.364 * [taylor]: Taking taylor expansion of im in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.367 * [taylor]: Taking taylor expansion of 0 in im
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.369 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.369 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.369 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.369 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.369 * [taylor]: Taking taylor expansion of re in im
0.369 * [backup-simplify]: Simplify re into re
0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.369 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.369 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.369 * [taylor]: Taking taylor expansion of im in im
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.369 * [taylor]: Taking taylor expansion of re in im
0.369 * [backup-simplify]: Simplify re into re
0.369 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.369 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.369 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.369 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.370 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.370 * [taylor]: Taking taylor expansion of re in re
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.370 * [taylor]: Taking taylor expansion of im in re
0.370 * [backup-simplify]: Simplify im into im
0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.370 * [taylor]: Taking taylor expansion of re in re
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.370 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.371 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.371 * [taylor]: Taking taylor expansion of re in re
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.371 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.371 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.371 * [taylor]: Taking taylor expansion of im in re
0.371 * [backup-simplify]: Simplify im into im
0.371 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.371 * [taylor]: Taking taylor expansion of re in re
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.371 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 im) into im
0.371 * [taylor]: Taking taylor expansion of im in im
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (+ 1 0) into 1
0.372 * [taylor]: Taking taylor expansion of 1 in im
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (+ 0 1) into 1
0.373 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.373 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.373 * [taylor]: Taking taylor expansion of 1/2 in im
0.373 * [backup-simplify]: Simplify 1/2 into 1/2
0.373 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.373 * [taylor]: Taking taylor expansion of im in im
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [taylor]: Taking taylor expansion of 0 in im
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.378 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.378 * [taylor]: Taking taylor expansion of re in im
0.378 * [backup-simplify]: Simplify re into re
0.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.378 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.378 * [taylor]: Taking taylor expansion of re in im
0.378 * [backup-simplify]: Simplify re into re
0.378 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.378 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.378 * [taylor]: Taking taylor expansion of im in im
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [backup-simplify]: Simplify (+ 0 1) into 1
0.379 * [backup-simplify]: Simplify (sqrt 1) into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.381 * [taylor]: Taking taylor expansion of re in re
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.381 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.381 * [taylor]: Taking taylor expansion of re in re
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.381 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.381 * [taylor]: Taking taylor expansion of im in re
0.382 * [backup-simplify]: Simplify im into im
0.382 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.382 * [backup-simplify]: Simplify (+ 1 0) into 1
0.383 * [backup-simplify]: Simplify (sqrt 1) into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.385 * [taylor]: Taking taylor expansion of re in re
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (/ 1 1) into 1
0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.386 * [taylor]: Taking taylor expansion of re in re
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.387 * [taylor]: Taking taylor expansion of im in re
0.387 * [backup-simplify]: Simplify im into im
0.387 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.388 * [backup-simplify]: Simplify (+ 1 0) into 1
0.388 * [backup-simplify]: Simplify (sqrt 1) into 1
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.391 * [backup-simplify]: Simplify (+ 1 1) into 2
0.391 * [taylor]: Taking taylor expansion of 2 in im
0.391 * [backup-simplify]: Simplify 2 into 2
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [taylor]: Taking taylor expansion of 0 in im
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 2 into 2
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.397 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.397 * [taylor]: Taking taylor expansion of 1/2 in im
0.397 * [backup-simplify]: Simplify 1/2 into 1/2
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.397 * [taylor]: Taking taylor expansion of im in im
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [taylor]: Taking taylor expansion of 0 in im
0.405 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.409 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.409 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.409 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.410 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.410 * [taylor]: Taking taylor expansion of re in im
0.410 * [backup-simplify]: Simplify re into re
0.410 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.410 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.410 * [taylor]: Taking taylor expansion of im in im
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [backup-simplify]: Simplify (+ 0 1) into 1
0.412 * [backup-simplify]: Simplify (sqrt 1) into 1
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.415 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.415 * [taylor]: Taking taylor expansion of re in im
0.415 * [backup-simplify]: Simplify re into re
0.415 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.415 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.415 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.415 * [taylor]: Taking taylor expansion of re in re
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.416 * [taylor]: Taking taylor expansion of im in re
0.416 * [backup-simplify]: Simplify im into im
0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.417 * [backup-simplify]: Simplify (+ 1 0) into 1
0.417 * [backup-simplify]: Simplify (sqrt 1) into 1
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.421 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.421 * [taylor]: Taking taylor expansion of re in re
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.421 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.421 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.421 * [taylor]: Taking taylor expansion of im in re
0.422 * [backup-simplify]: Simplify im into im
0.422 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.423 * [backup-simplify]: Simplify (sqrt 1) into 1
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.425 * [taylor]: Taking taylor expansion of re in re
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [backup-simplify]: Simplify (- 1) into -1
0.426 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.427 * [taylor]: Taking taylor expansion of 0 in im
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (- 0) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [taylor]: Taking taylor expansion of 0 in im
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (- 0) into 0
0.433 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.434 * [taylor]: Taking taylor expansion of 1/2 in im
0.434 * [backup-simplify]: Simplify 1/2 into 1/2
0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.434 * [taylor]: Taking taylor expansion of im in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [taylor]: Taking taylor expansion of 0 in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.448 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.448 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.448 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.448 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.448 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.449 * [taylor]: Taking taylor expansion of re in im
0.449 * [backup-simplify]: Simplify re into re
0.449 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.449 * [taylor]: Taking taylor expansion of im in re
0.449 * [backup-simplify]: Simplify im into im
0.449 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.449 * [taylor]: Taking taylor expansion of re in re
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.449 * [taylor]: Taking taylor expansion of im in re
0.449 * [backup-simplify]: Simplify im into im
0.449 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.449 * [taylor]: Taking taylor expansion of re in re
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.449 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [taylor]: Taking taylor expansion of 0 in im
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (+ 0 1) into 1
0.452 * [taylor]: Taking taylor expansion of 1 in im
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [taylor]: Taking taylor expansion of 0 in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [taylor]: Taking taylor expansion of 0 in im
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.458 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.459 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.459 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.459 * [taylor]: Taking taylor expansion of re in im
0.459 * [backup-simplify]: Simplify re into re
0.459 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.459 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.459 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.459 * [taylor]: Taking taylor expansion of im in im
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.460 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.460 * [taylor]: Taking taylor expansion of re in re
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.461 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.461 * [taylor]: Taking taylor expansion of im in re
0.461 * [backup-simplify]: Simplify im into im
0.461 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.461 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.461 * [taylor]: Taking taylor expansion of re in re
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.462 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.462 * [taylor]: Taking taylor expansion of im in re
0.462 * [backup-simplify]: Simplify im into im
0.462 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.463 * [backup-simplify]: Simplify (+ 1 0) into 1
0.463 * [taylor]: Taking taylor expansion of 1 in im
0.463 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [taylor]: Taking taylor expansion of 0 in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [taylor]: Taking taylor expansion of 0 in im
0.472 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [taylor]: Taking taylor expansion of 0 in im
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.481 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.481 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.481 * [taylor]: Taking taylor expansion of re in im
0.481 * [backup-simplify]: Simplify re into re
0.481 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.481 * [taylor]: Taking taylor expansion of im in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
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
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.483 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.483 * [taylor]: Taking taylor expansion of im in re
0.483 * [backup-simplify]: Simplify im into im
0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.484 * [taylor]: Taking taylor expansion of re in re
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
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))
0.486 * [backup-simplify]: Simplify (+ 1 0) into 1
0.486 * [taylor]: Taking taylor expansion of 1 in im
0.486 * [backup-simplify]: Simplify 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
0.488 * [taylor]: Taking taylor expansion of 0 in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify 1 into 1
0.492 * [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
0.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [taylor]: Taking taylor expansion of 0 in im
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in im
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.502 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2)))))
0.502 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0
0.502 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.502 * [taylor]: Taking taylor expansion of re in im
0.502 * [backup-simplify]: Simplify re into re
0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.502 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.502 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.502 * [taylor]: Taking taylor expansion of im in im
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.502 * [taylor]: Taking taylor expansion of re in im
0.502 * [backup-simplify]: Simplify re into re
0.502 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.503 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.503 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.503 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.504 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.504 * [taylor]: Taking taylor expansion of 2.0 in re
0.504 * [backup-simplify]: Simplify 2.0 into 2.0
0.504 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.504 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.504 * [taylor]: Taking taylor expansion of im in re
0.504 * [backup-simplify]: Simplify im into im
0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.505 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.505 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.505 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.505 * [taylor]: Taking taylor expansion of 2.0 in re
0.505 * [backup-simplify]: Simplify 2.0 into 2.0
0.505 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.506 * [taylor]: Taking taylor expansion of im in re
0.506 * [backup-simplify]: Simplify im into im
0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.506 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 im) into im
0.507 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im)
0.507 * [taylor]: Taking taylor expansion of (* 2.0 im) in im
0.507 * [taylor]: Taking taylor expansion of 2.0 in im
0.507 * [backup-simplify]: Simplify 2.0 into 2.0
0.507 * [taylor]: Taking taylor expansion of im in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (+ 1 0) into 1
0.509 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
0.509 * [taylor]: Taking taylor expansion of 2.0 in im
0.509 * [backup-simplify]: Simplify 2.0 into 2.0
0.509 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.511 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (+ 0 1) into 1
0.513 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.513 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.513 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
0.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im
0.513 * [taylor]: Taking taylor expansion of 1.0 in im
0.513 * [backup-simplify]: Simplify 1.0 into 1.0
0.513 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.513 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im)))) into 0
0.520 * [taylor]: Taking taylor expansion of 0 in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
0.523 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
0.523 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0
0.523 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.523 * [taylor]: Taking taylor expansion of 2.0 in im
0.523 * [backup-simplify]: Simplify 2.0 into 2.0
0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.523 * [taylor]: Taking taylor expansion of re in im
0.523 * [backup-simplify]: Simplify re into re
0.524 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.524 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.524 * [taylor]: Taking taylor expansion of re in im
0.524 * [backup-simplify]: Simplify re into re
0.524 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.524 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.524 * [taylor]: Taking taylor expansion of im in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [backup-simplify]: Simplify (+ 0 1) into 1
0.526 * [backup-simplify]: Simplify (sqrt 1) into 1
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.528 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.528 * [taylor]: Taking taylor expansion of 2.0 in re
0.528 * [backup-simplify]: Simplify 2.0 into 2.0
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.529 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.531 * [backup-simplify]: Simplify (+ 1 0) into 1
0.531 * [backup-simplify]: Simplify (sqrt 1) into 1
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.534 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.534 * [taylor]: Taking taylor expansion of 2.0 in re
0.534 * [backup-simplify]: Simplify 2.0 into 2.0
0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.534 * [taylor]: Taking taylor expansion of re in re
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.534 * [taylor]: Taking taylor expansion of re in re
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.535 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.535 * [taylor]: Taking taylor expansion of im in re
0.535 * [backup-simplify]: Simplify im into im
0.535 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.536 * [backup-simplify]: Simplify (+ 1 0) into 1
0.536 * [backup-simplify]: Simplify (sqrt 1) into 1
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ 0 0) into 0
0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.540 * [backup-simplify]: Simplify (+ 1 1) into 2
0.540 * [backup-simplify]: Simplify (* 2.0 2) into 4.0
0.540 * [taylor]: Taking taylor expansion of 4.0 in im
0.540 * [backup-simplify]: Simplify 4.0 into 4.0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in im
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 4.0 into 4.0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.546 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.547 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.548 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2)))
0.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.548 * [taylor]: Taking taylor expansion of 1.0 in im
0.548 * [backup-simplify]: Simplify 1.0 into 1.0
0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.548 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.548 * [taylor]: Taking taylor expansion of im in im
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.555 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
0.557 * [taylor]: Taking taylor expansion of 0 in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re)
0.561 * [backup-simplify]: Simplify (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
0.561 * [approximate]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0
0.561 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.561 * [taylor]: Taking taylor expansion of 2.0 in im
0.561 * [backup-simplify]: Simplify 2.0 into 2.0
0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.561 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.561 * [taylor]: Taking taylor expansion of re in im
0.561 * [backup-simplify]: Simplify re into re
0.561 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.562 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.562 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [backup-simplify]: Simplify (+ 0 1) into 1
0.564 * [backup-simplify]: Simplify (sqrt 1) into 1
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.567 * [taylor]: Taking taylor expansion of re in im
0.567 * [backup-simplify]: Simplify re into re
0.567 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.567 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.567 * [taylor]: Taking taylor expansion of 2.0 in re
0.567 * [backup-simplify]: Simplify 2.0 into 2.0
0.567 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.567 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.567 * [taylor]: Taking taylor expansion of re in re
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ 1 1) into 1
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.568 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.568 * [taylor]: Taking taylor expansion of im in re
0.568 * [backup-simplify]: Simplify im into im
0.568 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.569 * [backup-simplify]: Simplify (+ 1 0) into 1
0.569 * [backup-simplify]: Simplify (sqrt 1) into 1
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.572 * [taylor]: Taking taylor expansion of 2.0 in re
0.572 * [backup-simplify]: Simplify 2.0 into 2.0
0.572 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.573 * [taylor]: Taking taylor expansion of im in re
0.573 * [backup-simplify]: Simplify im into im
0.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.574 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.574 * [backup-simplify]: Simplify (+ 1 0) into 1
0.574 * [backup-simplify]: Simplify (sqrt 1) into 1
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.577 * [taylor]: Taking taylor expansion of re in re
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [backup-simplify]: Simplify (- 1) into -1
0.579 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.579 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.579 * [taylor]: Taking taylor expansion of 0 in im
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0
0.581 * [taylor]: Taking taylor expansion of 0 in im
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (- 0) into 0
0.586 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.587 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
0.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
0.587 * [taylor]: Taking taylor expansion of 1.0 in im
0.587 * [backup-simplify]: Simplify 1.0 into 1.0
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.587 * [taylor]: Taking taylor expansion of im in im
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 * [backup-simplify]: Simplify (/ 1 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 (+ (* 1.0 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (- 0) into 0
0.596 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
0.597 * [taylor]: Taking taylor expansion of 0 in im
0.597 * [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
0.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * * * [progress]: simplifying candidates
0.604 * [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)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (log 2.0) (log (+ (sqrt (+ (* re re) (* im im))) re)))
  (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 2.0) 2.0) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 (sqrt (+ (* re re) (* im im))))
  (* 2.0 re)
  (* (sqrt (+ (* re re) (* im im))) 2.0)
  (* re 2.0)
  (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 1)
  (* 2.0 1)
  (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))
  (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (* 2.0 re) (* 2.0 im))
  (* 4.0 re)
  0
0.606 * * [simplify]: iteration 0: 101 enodes
0.632 * * [simplify]: iteration 1: 274 enodes
0.728 * * [simplify]: iteration 2: 885 enodes
1.532 * * [simplify]: iteration 3: 4137 enodes
2.753 * * [simplify]: iteration complete: 5002 enodes
2.753 * * [simplify]: Extracting #0: cost 63 inf + 0
2.754 * * [simplify]: Extracting #1: cost 304 inf + 47
2.763 * * [simplify]: Extracting #2: cost 1101 inf + 7658
2.798 * * [simplify]: Extracting #3: cost 1015 inf + 53974
2.860 * * [simplify]: Extracting #4: cost 428 inf + 198661
2.940 * * [simplify]: Extracting #5: cost 95 inf + 312890
3.040 * * [simplify]: Extracting #6: cost 21 inf + 328323
3.183 * * [simplify]: Extracting #7: cost 0 inf + 334597
3.291 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))
  (+ (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re)))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) im) (* (* im im) im)))
  (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))
  (* (+ (* im im) (* re re)) (- (* re re) (* im im)))
  (- (* re re) (* im im))
  (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)
  (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (exp (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)) (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (* 2.0 (sqrt (+ (* im im) (* re re))))
  (* 2.0 re)
  (* (sqrt (+ (* im im) (* re re))) 2.0)
  (* 2.0 re)
  (* (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) 2.0)
  (* 2.0 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  2.0
  2.0
  (* (+ (sqrt (+ (* im im) (* re re))) re) (cbrt 2.0))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt 2.0))
  (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)
  (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))))
  (* 2.0 (* im im))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (* (+ re im) 2.0)
  (* 4.0 re)
  0
3.297 * * * [progress]: adding candidates to table
3.731 * * [progress]: iteration 2 / 4
3.731 * * * [progress]: picking best candidate
3.753 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.753 * * * [progress]: localizing error
3.789 * * * [progress]: generating rewritten candidates
3.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.795 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
3.802 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
3.899 * * * [progress]: generating series expansions
3.899 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.899 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.899 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.899 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.899 * [taylor]: Taking taylor expansion of im in im
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.899 * [taylor]: Taking taylor expansion of re in im
3.899 * [backup-simplify]: Simplify re into re
3.899 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.899 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.899 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.899 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.900 * [backup-simplify]: Simplify (+ 0 0) into 0
3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.900 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.900 * [taylor]: Taking taylor expansion of im in re
3.900 * [backup-simplify]: Simplify im into im
3.900 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.900 * [taylor]: Taking taylor expansion of re in re
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.900 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.901 * [backup-simplify]: Simplify (+ 0 0) into 0
3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.901 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.901 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.901 * [taylor]: Taking taylor expansion of im in re
3.901 * [backup-simplify]: Simplify im into im
3.901 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.901 * [taylor]: Taking taylor expansion of re in re
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.901 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.901 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.902 * [backup-simplify]: Simplify (+ 0 0) into 0
3.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.902 * [taylor]: Taking taylor expansion of im in im
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [taylor]: Taking taylor expansion of 0 in im
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.902 * [backup-simplify]: Simplify (* 1 1) into 1
3.903 * [backup-simplify]: Simplify (+ 0 1) into 1
3.903 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.903 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.903 * [taylor]: Taking taylor expansion of 1/2 in im
3.903 * [backup-simplify]: Simplify 1/2 into 1/2
3.903 * [taylor]: Taking taylor expansion of im in im
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.903 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.905 * [backup-simplify]: Simplify (+ 0 0) into 0
3.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.905 * [taylor]: Taking taylor expansion of 0 in im
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.906 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.906 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.906 * [taylor]: Taking taylor expansion of re in im
3.906 * [backup-simplify]: Simplify re into re
3.906 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.906 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.906 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.906 * [taylor]: Taking taylor expansion of im in im
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 1 into 1
3.907 * [backup-simplify]: Simplify (* 1 1) into 1
3.907 * [backup-simplify]: Simplify (/ 1 1) into 1
3.907 * [backup-simplify]: Simplify (+ 0 1) into 1
3.908 * [backup-simplify]: Simplify (sqrt 1) into 1
3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.909 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.909 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.909 * [taylor]: Taking taylor expansion of re in re
3.909 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify 1 into 1
3.909 * [backup-simplify]: Simplify (* 1 1) into 1
3.910 * [backup-simplify]: Simplify (/ 1 1) into 1
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.910 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.910 * [taylor]: Taking taylor expansion of im in re
3.910 * [backup-simplify]: Simplify im into im
3.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.910 * [backup-simplify]: Simplify (+ 1 0) into 1
3.910 * [backup-simplify]: Simplify (sqrt 1) into 1
3.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.912 * [taylor]: Taking taylor expansion of re in re
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.912 * [backup-simplify]: Simplify (* 1 1) into 1
3.912 * [backup-simplify]: Simplify (/ 1 1) into 1
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.913 * [taylor]: Taking taylor expansion of im in re
3.913 * [backup-simplify]: Simplify im into im
3.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.913 * [backup-simplify]: Simplify (+ 1 0) into 1
3.913 * [backup-simplify]: Simplify (sqrt 1) into 1
3.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.914 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.915 * [taylor]: Taking taylor expansion of 1 in im
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [taylor]: Taking taylor expansion of 0 in im
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.917 * [taylor]: Taking taylor expansion of 1/2 in im
3.917 * [backup-simplify]: Simplify 1/2 into 1/2
3.917 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.917 * [taylor]: Taking taylor expansion of im in im
3.917 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (* 1 1) into 1
3.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.924 * [taylor]: Taking taylor expansion of 0 in im
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.927 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.927 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.927 * [taylor]: Taking taylor expansion of re in im
3.927 * [backup-simplify]: Simplify re into re
3.927 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.927 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.927 * [taylor]: Taking taylor expansion of im in im
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify (* 1 1) into 1
3.928 * [backup-simplify]: Simplify (/ 1 1) into 1
3.929 * [backup-simplify]: Simplify (+ 0 1) into 1
3.929 * [backup-simplify]: Simplify (sqrt 1) into 1
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.932 * [taylor]: Taking taylor expansion of re in re
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (* 1 1) into 1
3.932 * [backup-simplify]: Simplify (/ 1 1) into 1
3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.933 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.933 * [taylor]: Taking taylor expansion of im in re
3.933 * [backup-simplify]: Simplify im into im
3.933 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.934 * [backup-simplify]: Simplify (sqrt 1) into 1
3.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.936 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.936 * [taylor]: Taking taylor expansion of re in re
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (* 1 1) into 1
3.937 * [backup-simplify]: Simplify (/ 1 1) into 1
3.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.937 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.937 * [taylor]: Taking taylor expansion of im in re
3.937 * [backup-simplify]: Simplify im into im
3.937 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.938 * [backup-simplify]: Simplify (+ 1 0) into 1
3.938 * [backup-simplify]: Simplify (sqrt 1) into 1
3.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.939 * [backup-simplify]: Simplify (+ 0 0) into 0
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.940 * [taylor]: Taking taylor expansion of 1 in im
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [taylor]: Taking taylor expansion of 0 in im
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.942 * [taylor]: Taking taylor expansion of 1/2 in im
3.942 * [backup-simplify]: Simplify 1/2 into 1/2
3.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.942 * [taylor]: Taking taylor expansion of im in im
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [backup-simplify]: Simplify (* 1 1) into 1
3.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.945 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.946 * [taylor]: Taking taylor expansion of 0 in im
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.947 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
3.947 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.947 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.947 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.947 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.947 * [taylor]: Taking taylor expansion of im in im
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 1 into 1
3.947 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.947 * [taylor]: Taking taylor expansion of re in im
3.947 * [backup-simplify]: Simplify re into re
3.947 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.948 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.948 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.948 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.948 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.948 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.948 * [taylor]: Taking taylor expansion of im in re
3.948 * [backup-simplify]: Simplify im into im
3.948 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.948 * [taylor]: Taking taylor expansion of re in re
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.948 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.948 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.949 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.949 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.949 * [taylor]: Taking taylor expansion of im in re
3.949 * [backup-simplify]: Simplify im into im
3.949 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.949 * [taylor]: Taking taylor expansion of re in re
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.949 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.949 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.949 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.950 * [taylor]: Taking taylor expansion of im in im
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [taylor]: Taking taylor expansion of 0 in im
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.950 * [backup-simplify]: Simplify (* 1 1) into 1
3.951 * [backup-simplify]: Simplify (+ 0 1) into 1
3.951 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.951 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.951 * [taylor]: Taking taylor expansion of 1/2 in im
3.951 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.953 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.953 * [taylor]: Taking taylor expansion of 0 in im
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.954 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.954 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.954 * [taylor]: Taking taylor expansion of re in im
3.954 * [backup-simplify]: Simplify re into re
3.954 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.954 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.954 * [taylor]: Taking taylor expansion of im in im
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.955 * [backup-simplify]: Simplify (* 1 1) into 1
3.955 * [backup-simplify]: Simplify (/ 1 1) into 1
3.955 * [backup-simplify]: Simplify (+ 0 1) into 1
3.955 * [backup-simplify]: Simplify (sqrt 1) into 1
3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.956 * [backup-simplify]: Simplify (+ 0 0) into 0
3.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.957 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.957 * [taylor]: Taking taylor expansion of re in re
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [backup-simplify]: Simplify (* 1 1) into 1
3.958 * [backup-simplify]: Simplify (/ 1 1) into 1
3.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.958 * [taylor]: Taking taylor expansion of im in re
3.958 * [backup-simplify]: Simplify im into im
3.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.958 * [backup-simplify]: Simplify (+ 1 0) into 1
3.958 * [backup-simplify]: Simplify (sqrt 1) into 1
3.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.960 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.960 * [taylor]: Taking taylor expansion of re in re
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (* 1 1) into 1
3.960 * [backup-simplify]: Simplify (/ 1 1) into 1
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.960 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.960 * [taylor]: Taking taylor expansion of im in re
3.960 * [backup-simplify]: Simplify im into im
3.960 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.961 * [backup-simplify]: Simplify (+ 1 0) into 1
3.961 * [backup-simplify]: Simplify (sqrt 1) into 1
3.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.962 * [backup-simplify]: Simplify (+ 0 0) into 0
3.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.963 * [taylor]: Taking taylor expansion of 1 in im
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [taylor]: Taking taylor expansion of 0 in im
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.964 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.965 * [taylor]: Taking taylor expansion of 1/2 in im
3.965 * [backup-simplify]: Simplify 1/2 into 1/2
3.965 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.965 * [taylor]: Taking taylor expansion of im in im
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.965 * [backup-simplify]: Simplify (* 1 1) into 1
3.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.968 * [taylor]: Taking taylor expansion of 0 in im
3.968 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.969 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.970 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.970 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.970 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.970 * [taylor]: Taking taylor expansion of re in im
3.970 * [backup-simplify]: Simplify re into re
3.970 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.970 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.971 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.971 * [taylor]: Taking taylor expansion of im in im
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.971 * [backup-simplify]: Simplify (/ 1 1) into 1
3.972 * [backup-simplify]: Simplify (+ 0 1) into 1
3.972 * [backup-simplify]: Simplify (sqrt 1) into 1
3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.975 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.975 * [taylor]: Taking taylor expansion of re in re
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.976 * [backup-simplify]: Simplify (* 1 1) into 1
3.976 * [backup-simplify]: Simplify (/ 1 1) into 1
3.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.976 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.976 * [taylor]: Taking taylor expansion of im in re
3.976 * [backup-simplify]: Simplify im into im
3.976 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.977 * [backup-simplify]: Simplify (+ 1 0) into 1
3.977 * [backup-simplify]: Simplify (sqrt 1) into 1
3.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.979 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.980 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.980 * [taylor]: Taking taylor expansion of re in re
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify (* 1 1) into 1
3.981 * [backup-simplify]: Simplify (/ 1 1) into 1
3.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.981 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.981 * [taylor]: Taking taylor expansion of im in re
3.981 * [backup-simplify]: Simplify im into im
3.981 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.981 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.982 * [backup-simplify]: Simplify (+ 1 0) into 1
3.982 * [backup-simplify]: Simplify (sqrt 1) into 1
3.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.985 * [taylor]: Taking taylor expansion of 1 in im
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [taylor]: Taking taylor expansion of 0 in im
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.987 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.988 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.988 * [taylor]: Taking taylor expansion of 1/2 in im
3.988 * [backup-simplify]: Simplify 1/2 into 1/2
3.988 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.988 * [taylor]: Taking taylor expansion of im in im
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 1 into 1
3.989 * [backup-simplify]: Simplify (* 1 1) into 1
3.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.994 * [taylor]: Taking taylor expansion of 0 in im
3.994 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.995 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.996 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.996 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.996 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.996 * [taylor]: Taking taylor expansion of re in im
3.996 * [backup-simplify]: Simplify re into re
3.996 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.996 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.996 * [taylor]: Taking taylor expansion of im in im
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.996 * [taylor]: Taking taylor expansion of re in im
3.996 * [backup-simplify]: Simplify re into re
3.996 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.996 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.996 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.996 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.996 * [backup-simplify]: Simplify (+ 0 0) into 0
3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.997 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.997 * [taylor]: Taking taylor expansion of re in re
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.997 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.997 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.997 * [taylor]: Taking taylor expansion of im in re
3.997 * [backup-simplify]: Simplify im into im
3.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.997 * [taylor]: Taking taylor expansion of re in re
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.997 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.997 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.997 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.997 * [backup-simplify]: Simplify (+ 0 0) into 0
3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.997 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.997 * [taylor]: Taking taylor expansion of re in re
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.998 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [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
3.998 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.998 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.998 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.998 * [backup-simplify]: Simplify (+ 0 0) into 0
3.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.998 * [backup-simplify]: Simplify (+ 0 im) into im
3.998 * [taylor]: Taking taylor expansion of im in im
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (+ 1 0) into 1
3.999 * [taylor]: Taking taylor expansion of 1 in im
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.999 * [backup-simplify]: Simplify (* 1 1) into 1
4.000 * [backup-simplify]: Simplify (+ 0 1) into 1
4.000 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.000 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.000 * [taylor]: Taking taylor expansion of 1/2 in im
4.000 * [backup-simplify]: Simplify 1/2 into 1/2
4.000 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.000 * [taylor]: Taking taylor expansion of im in im
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (/ 1 1) into 1
4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [taylor]: Taking taylor expansion of 0 in im
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.005 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
4.005 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.005 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.005 * [taylor]: Taking taylor expansion of re in im
4.005 * [backup-simplify]: Simplify re into re
4.005 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.005 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.005 * [taylor]: Taking taylor expansion of re in im
4.005 * [backup-simplify]: Simplify re into re
4.005 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.005 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.005 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.005 * [taylor]: Taking taylor expansion of im in im
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 1 into 1
4.005 * [backup-simplify]: Simplify (* 1 1) into 1
4.005 * [backup-simplify]: Simplify (/ 1 1) into 1
4.006 * [backup-simplify]: Simplify (+ 0 1) into 1
4.006 * [backup-simplify]: Simplify (sqrt 1) into 1
4.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.007 * [backup-simplify]: Simplify (+ 0 0) into 0
4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.007 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.007 * [taylor]: Taking taylor expansion of re in re
4.007 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (/ 1 1) into 1
4.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.008 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.008 * [taylor]: Taking taylor expansion of re in re
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (* 1 1) into 1
4.008 * [backup-simplify]: Simplify (/ 1 1) into 1
4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.008 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.008 * [taylor]: Taking taylor expansion of im in re
4.008 * [backup-simplify]: Simplify im into im
4.008 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.009 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.009 * [backup-simplify]: Simplify (+ 1 0) into 1
4.009 * [backup-simplify]: Simplify (sqrt 1) into 1
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.010 * [backup-simplify]: Simplify (+ 0 0) into 0
4.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.011 * [taylor]: Taking taylor expansion of re in re
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.011 * [taylor]: Taking taylor expansion of re in re
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (* 1 1) into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.012 * [taylor]: Taking taylor expansion of im in re
4.012 * [backup-simplify]: Simplify im into im
4.012 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.012 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.012 * [backup-simplify]: Simplify (+ 1 0) into 1
4.012 * [backup-simplify]: Simplify (sqrt 1) into 1
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.014 * [backup-simplify]: Simplify (+ 1 1) into 2
4.014 * [taylor]: Taking taylor expansion of 2 in im
4.014 * [backup-simplify]: Simplify 2 into 2
4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.015 * [backup-simplify]: Simplify (+ 0 0) into 0
4.015 * [taylor]: Taking taylor expansion of 0 in im
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 2 into 2
4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.017 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.017 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.017 * [taylor]: Taking taylor expansion of 1/2 in im
4.017 * [backup-simplify]: Simplify 1/2 into 1/2
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
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (* 1 1) into 1
4.018 * [backup-simplify]: Simplify (/ 1 1) into 1
4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.021 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [taylor]: Taking taylor expansion of 0 in im
4.022 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.024 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
4.024 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
4.025 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.025 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.025 * [taylor]: Taking taylor expansion of re in im
4.025 * [backup-simplify]: Simplify re into re
4.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.025 * [taylor]: Taking taylor expansion of im in im
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [backup-simplify]: Simplify (* 1 1) into 1
4.025 * [backup-simplify]: Simplify (/ 1 1) into 1
4.026 * [backup-simplify]: Simplify (+ 0 1) into 1
4.026 * [backup-simplify]: Simplify (sqrt 1) into 1
4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (+ 0 0) into 0
4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.029 * [taylor]: Taking taylor expansion of re in im
4.029 * [backup-simplify]: Simplify re into re
4.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.029 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.029 * [taylor]: Taking taylor expansion of re in re
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (* 1 1) into 1
4.029 * [backup-simplify]: Simplify (/ 1 1) into 1
4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.029 * [taylor]: Taking taylor expansion of im in re
4.029 * [backup-simplify]: Simplify im into im
4.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.030 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.030 * [backup-simplify]: Simplify (+ 1 0) into 1
4.030 * [backup-simplify]: Simplify (sqrt 1) into 1
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.031 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.032 * [taylor]: Taking taylor expansion of re in re
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (/ 1 1) into 1
4.032 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.032 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.032 * [taylor]: Taking taylor expansion of re in re
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (* 1 1) into 1
4.032 * [backup-simplify]: Simplify (/ 1 1) into 1
4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.032 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.032 * [taylor]: Taking taylor expansion of im in re
4.032 * [backup-simplify]: Simplify im into im
4.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.033 * [backup-simplify]: Simplify (+ 1 0) into 1
4.033 * [backup-simplify]: Simplify (sqrt 1) into 1
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (+ 0 0) into 0
4.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.035 * [taylor]: Taking taylor expansion of re in re
4.035 * [backup-simplify]: Simplify 0 into 0
4.035 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (/ 1 1) into 1
4.035 * [backup-simplify]: Simplify (- 1) into -1
4.035 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.035 * [taylor]: Taking taylor expansion of 0 in im
4.035 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.036 * [backup-simplify]: Simplify (- 0) into 0
4.036 * [backup-simplify]: Simplify (+ 0 0) into 0
4.036 * [taylor]: Taking taylor expansion of 0 in im
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.038 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.039 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (- 0) into 0
4.040 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.040 * [taylor]: Taking taylor expansion of 1/2 in im
4.040 * [backup-simplify]: Simplify 1/2 into 1/2
4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.041 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.041 * [taylor]: Taking taylor expansion of im in im
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [backup-simplify]: Simplify (* 1 1) into 1
4.041 * [backup-simplify]: Simplify (/ 1 1) into 1
4.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.047 * [backup-simplify]: Simplify (+ 0 0) into 0
4.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.048 * [backup-simplify]: Simplify (- 0) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.049 * [taylor]: Taking taylor expansion of 0 in im
4.049 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
4.053 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
4.053 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
4.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.053 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.053 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.053 * [taylor]: Taking taylor expansion of im in im
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.053 * [taylor]: Taking taylor expansion of re in im
4.053 * [backup-simplify]: Simplify re into re
4.053 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.053 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.053 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.053 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.054 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.054 * [taylor]: Taking taylor expansion of im in re
4.054 * [backup-simplify]: Simplify im into im
4.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.054 * [taylor]: Taking taylor expansion of re in re
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.054 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.055 * [backup-simplify]: Simplify (+ 0 0) into 0
4.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.055 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.055 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.055 * [taylor]: Taking taylor expansion of im in re
4.055 * [backup-simplify]: Simplify im into im
4.055 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.056 * [taylor]: Taking taylor expansion of re in re
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.056 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.056 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.056 * [backup-simplify]: Simplify (+ 0 0) into 0
4.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.057 * [taylor]: Taking taylor expansion of im in im
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [taylor]: Taking taylor expansion of 0 in im
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.058 * [backup-simplify]: Simplify (+ 0 1) into 1
4.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.059 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.059 * [taylor]: Taking taylor expansion of 1/2 in im
4.059 * [backup-simplify]: Simplify 1/2 into 1/2
4.059 * [taylor]: Taking taylor expansion of im in im
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 1 into 1
4.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.063 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.063 * [taylor]: Taking taylor expansion of 0 in im
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.065 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.065 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.065 * [taylor]: Taking taylor expansion of re in im
4.065 * [backup-simplify]: Simplify re into re
4.065 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.065 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.065 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.065 * [taylor]: Taking taylor expansion of im in im
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (* 1 1) into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.066 * [backup-simplify]: Simplify (+ 0 1) into 1
4.067 * [backup-simplify]: Simplify (sqrt 1) into 1
4.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 0) into 0
4.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.069 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.069 * [taylor]: Taking taylor expansion of re in re
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (* 1 1) into 1
4.070 * [backup-simplify]: Simplify (/ 1 1) into 1
4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.070 * [taylor]: Taking taylor expansion of im in re
4.070 * [backup-simplify]: Simplify im into im
4.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.071 * [backup-simplify]: Simplify (+ 1 0) into 1
4.071 * [backup-simplify]: Simplify (sqrt 1) into 1
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.074 * [taylor]: Taking taylor expansion of re in re
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.074 * [backup-simplify]: Simplify (* 1 1) into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.074 * [taylor]: Taking taylor expansion of im in re
4.074 * [backup-simplify]: Simplify im into im
4.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.075 * [backup-simplify]: Simplify (+ 1 0) into 1
4.076 * [backup-simplify]: Simplify (sqrt 1) into 1
4.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.078 * [taylor]: Taking taylor expansion of 1 in im
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [taylor]: Taking taylor expansion of 0 in im
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.082 * [taylor]: Taking taylor expansion of 1/2 in im
4.082 * [backup-simplify]: Simplify 1/2 into 1/2
4.082 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.082 * [taylor]: Taking taylor expansion of im in im
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (* 1 1) into 1
4.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.087 * [backup-simplify]: Simplify (+ 0 0) into 0
4.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.088 * [taylor]: Taking taylor expansion of 0 in im
4.088 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.091 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.091 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.091 * [taylor]: Taking taylor expansion of re in im
4.091 * [backup-simplify]: Simplify re into re
4.091 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.091 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.091 * [taylor]: Taking taylor expansion of im in im
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [backup-simplify]: Simplify (* 1 1) into 1
4.092 * [backup-simplify]: Simplify (/ 1 1) into 1
4.093 * [backup-simplify]: Simplify (+ 0 1) into 1
4.093 * [backup-simplify]: Simplify (sqrt 1) into 1
4.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.095 * [backup-simplify]: Simplify (+ 0 0) into 0
4.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.096 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.096 * [taylor]: Taking taylor expansion of re in re
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.097 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.097 * [taylor]: Taking taylor expansion of im in re
4.097 * [backup-simplify]: Simplify im into im
4.097 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.097 * [backup-simplify]: Simplify (+ 1 0) into 1
4.098 * [backup-simplify]: Simplify (sqrt 1) into 1
4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ 0 0) into 0
4.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.100 * [taylor]: Taking taylor expansion of re in re
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (* 1 1) into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.101 * [taylor]: Taking taylor expansion of im in re
4.101 * [backup-simplify]: Simplify im into im
4.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.102 * [backup-simplify]: Simplify (+ 1 0) into 1
4.102 * [backup-simplify]: Simplify (sqrt 1) into 1
4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.105 * [taylor]: Taking taylor expansion of 1 in im
4.105 * [backup-simplify]: Simplify 1 into 1
4.105 * [taylor]: Taking taylor expansion of 0 in im
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.107 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.108 * [taylor]: Taking taylor expansion of 1/2 in im
4.108 * [backup-simplify]: Simplify 1/2 into 1/2
4.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.109 * [taylor]: Taking taylor expansion of im in im
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 1 into 1
4.109 * [backup-simplify]: Simplify (* 1 1) into 1
4.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.114 * [backup-simplify]: Simplify (+ 0 0) into 0
4.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.115 * [taylor]: Taking taylor expansion of 0 in im
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.117 * * * [progress]: simplifying candidates
4.121 * [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)))
  (- (* (* (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)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
4.126 * * [simplify]: iteration 0: 133 enodes
4.191 * * [simplify]: iteration 1: 291 enodes
4.282 * * [simplify]: iteration 2: 732 enodes
4.673 * * [simplify]: iteration 3: 2357 enodes
5.639 * * [simplify]: iteration complete: 5018 enodes
5.639 * * [simplify]: Extracting #0: cost 46 inf + 0
5.640 * * [simplify]: Extracting #1: cost 246 inf + 88
5.643 * * [simplify]: Extracting #2: cost 1086 inf + 1194
5.654 * * [simplify]: Extracting #3: cost 1458 inf + 53842
5.706 * * [simplify]: Extracting #4: cost 881 inf + 213843
5.789 * * [simplify]: Extracting #5: cost 190 inf + 403225
5.878 * * [simplify]: Extracting #6: cost 48 inf + 459673
5.987 * * [simplify]: Extracting #7: cost 10 inf + 465327
6.076 * * [simplify]: Extracting #8: cost 0 inf + 468137
6.182 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (- (* re re) (* (sqrt (+ (* im im) (* re re))) (- re (sqrt (+ (* im im) (* re re))))))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  2
  (log (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))))
  (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))))
  (* (fabs (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (fabs (cbrt (+ (* im im) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
  (* (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  im
  re
  (- re)
6.199 * * * [progress]: adding candidates to table
6.893 * * [progress]: iteration 3 / 4
6.893 * * * [progress]: picking best candidate
6.931 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
6.931 * * * [progress]: localizing error
7.021 * * * [progress]: generating rewritten candidates
7.021 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1)
7.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
7.036 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
7.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
7.049 * * * [progress]: generating series expansions
7.049 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1)
7.049 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.049 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.049 * [taylor]: Taking taylor expansion of im in im
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.049 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.049 * [taylor]: Taking taylor expansion of re in im
7.049 * [backup-simplify]: Simplify re into re
7.049 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.049 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.050 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.050 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.050 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.050 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.050 * [taylor]: Taking taylor expansion of im in re
7.050 * [backup-simplify]: Simplify im into im
7.050 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.050 * [taylor]: Taking taylor expansion of re in re
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [backup-simplify]: Simplify 1 into 1
7.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.050 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.051 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.051 * [backup-simplify]: Simplify (+ 0 0) into 0
7.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.051 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.051 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.051 * [taylor]: Taking taylor expansion of im in re
7.051 * [backup-simplify]: Simplify im into im
7.051 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.051 * [taylor]: Taking taylor expansion of re in re
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.051 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.051 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.052 * [taylor]: Taking taylor expansion of im in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [taylor]: Taking taylor expansion of 0 in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.052 * [backup-simplify]: Simplify (* 1 1) into 1
7.053 * [backup-simplify]: Simplify (+ 0 1) into 1
7.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.053 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.053 * [taylor]: Taking taylor expansion of 1/2 in im
7.053 * [backup-simplify]: Simplify 1/2 into 1/2
7.053 * [taylor]: Taking taylor expansion of im in im
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify 1 into 1
7.054 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.056 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.056 * [taylor]: Taking taylor expansion of 0 in im
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.058 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.058 * [taylor]: Taking taylor expansion of re in im
7.058 * [backup-simplify]: Simplify re into re
7.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.059 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.059 * [taylor]: Taking taylor expansion of im in im
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 1 into 1
7.059 * [backup-simplify]: Simplify (* 1 1) into 1
7.060 * [backup-simplify]: Simplify (/ 1 1) into 1
7.060 * [backup-simplify]: Simplify (+ 0 1) into 1
7.060 * [backup-simplify]: Simplify (sqrt 1) into 1
7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.063 * [taylor]: Taking taylor expansion of re in re
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (/ 1 1) into 1
7.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.064 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.064 * [taylor]: Taking taylor expansion of im in re
7.064 * [backup-simplify]: Simplify im into im
7.064 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.064 * [backup-simplify]: Simplify (+ 1 0) into 1
7.065 * [backup-simplify]: Simplify (sqrt 1) into 1
7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.067 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.067 * [taylor]: Taking taylor expansion of re in re
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (* 1 1) into 1
7.068 * [backup-simplify]: Simplify (/ 1 1) into 1
7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.068 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.068 * [taylor]: Taking taylor expansion of im in re
7.068 * [backup-simplify]: Simplify im into im
7.068 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.069 * [backup-simplify]: Simplify (+ 1 0) into 1
7.069 * [backup-simplify]: Simplify (sqrt 1) into 1
7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.072 * [taylor]: Taking taylor expansion of 1 in im
7.072 * [backup-simplify]: Simplify 1 into 1
7.072 * [taylor]: Taking taylor expansion of 0 in im
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.075 * [taylor]: Taking taylor expansion of 1/2 in im
7.075 * [backup-simplify]: Simplify 1/2 into 1/2
7.075 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.075 * [taylor]: Taking taylor expansion of im in im
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (* 1 1) into 1
7.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.081 * [taylor]: Taking taylor expansion of 0 in im
7.081 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.083 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.084 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.084 * [taylor]: Taking taylor expansion of re in im
7.084 * [backup-simplify]: Simplify re into re
7.084 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.084 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.084 * [taylor]: Taking taylor expansion of im in im
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [backup-simplify]: Simplify (* 1 1) into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.085 * [backup-simplify]: Simplify (+ 0 1) into 1
7.085 * [backup-simplify]: Simplify (sqrt 1) into 1
7.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.087 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.088 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.088 * [taylor]: Taking taylor expansion of re in re
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (* 1 1) into 1
7.089 * [backup-simplify]: Simplify (/ 1 1) into 1
7.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.089 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.089 * [taylor]: Taking taylor expansion of im in re
7.089 * [backup-simplify]: Simplify im into im
7.089 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.089 * [backup-simplify]: Simplify (+ 1 0) into 1
7.090 * [backup-simplify]: Simplify (sqrt 1) into 1
7.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.092 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.092 * [taylor]: Taking taylor expansion of re in re
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (/ 1 1) into 1
7.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.093 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.093 * [taylor]: Taking taylor expansion of im in re
7.093 * [backup-simplify]: Simplify im into im
7.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.094 * [backup-simplify]: Simplify (+ 1 0) into 1
7.094 * [backup-simplify]: Simplify (sqrt 1) into 1
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.096 * [backup-simplify]: Simplify (+ 0 0) into 0
7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.097 * [taylor]: Taking taylor expansion of 1 in im
7.097 * [backup-simplify]: Simplify 1 into 1
7.097 * [taylor]: Taking taylor expansion of 0 in im
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.100 * [taylor]: Taking taylor expansion of 1/2 in im
7.100 * [backup-simplify]: Simplify 1/2 into 1/2
7.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.100 * [taylor]: Taking taylor expansion of im in im
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.100 * [backup-simplify]: Simplify (* 1 1) into 1
7.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify 0 into 0
7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.104 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.105 * [backup-simplify]: Simplify (+ 0 0) into 0
7.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.106 * [taylor]: Taking taylor expansion of 0 in im
7.106 * [backup-simplify]: Simplify 0 into 0
7.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
7.108 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.108 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.109 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.109 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.109 * [taylor]: Taking taylor expansion of im in im
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.109 * [taylor]: Taking taylor expansion of re in im
7.109 * [backup-simplify]: Simplify re into re
7.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.109 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.109 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.109 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.110 * [taylor]: Taking taylor expansion of im in re
7.110 * [backup-simplify]: Simplify im into im
7.110 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.110 * [taylor]: Taking taylor expansion of re in re
7.110 * [backup-simplify]: Simplify 0 into 0
7.110 * [backup-simplify]: Simplify 1 into 1
7.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.110 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.111 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.111 * [taylor]: Taking taylor expansion of im in re
7.111 * [backup-simplify]: Simplify im into im
7.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.111 * [taylor]: Taking taylor expansion of re in re
7.111 * [backup-simplify]: Simplify 0 into 0
7.111 * [backup-simplify]: Simplify 1 into 1
7.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.112 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.115 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.115 * [taylor]: Taking taylor expansion of im in im
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [taylor]: Taking taylor expansion of 0 in im
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.116 * [backup-simplify]: Simplify (* 1 1) into 1
7.117 * [backup-simplify]: Simplify (+ 0 1) into 1
7.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.117 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.117 * [taylor]: Taking taylor expansion of 1/2 in im
7.117 * [backup-simplify]: Simplify 1/2 into 1/2
7.117 * [taylor]: Taking taylor expansion of im in im
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.121 * [taylor]: Taking taylor expansion of 0 in im
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify 0 into 0
7.122 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.122 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.122 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.122 * [taylor]: Taking taylor expansion of re in im
7.122 * [backup-simplify]: Simplify re into re
7.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.123 * [taylor]: Taking taylor expansion of im in im
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 1 into 1
7.123 * [backup-simplify]: Simplify (* 1 1) into 1
7.124 * [backup-simplify]: Simplify (/ 1 1) into 1
7.124 * [backup-simplify]: Simplify (+ 0 1) into 1
7.124 * [backup-simplify]: Simplify (sqrt 1) into 1
7.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.126 * [backup-simplify]: Simplify (+ 0 0) into 0
7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.127 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.127 * [taylor]: Taking taylor expansion of re in re
7.127 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify 1 into 1
7.128 * [backup-simplify]: Simplify (* 1 1) into 1
7.128 * [backup-simplify]: Simplify (/ 1 1) into 1
7.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.128 * [taylor]: Taking taylor expansion of im in re
7.128 * [backup-simplify]: Simplify im into im
7.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.129 * [backup-simplify]: Simplify (+ 1 0) into 1
7.129 * [backup-simplify]: Simplify (sqrt 1) into 1
7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.131 * [backup-simplify]: Simplify (+ 0 0) into 0
7.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.132 * [taylor]: Taking taylor expansion of re in re
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 1 into 1
7.132 * [backup-simplify]: Simplify (* 1 1) into 1
7.132 * [backup-simplify]: Simplify (/ 1 1) into 1
7.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.132 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.132 * [taylor]: Taking taylor expansion of im in re
7.132 * [backup-simplify]: Simplify im into im
7.132 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.133 * [backup-simplify]: Simplify (+ 1 0) into 1
7.133 * [backup-simplify]: Simplify (sqrt 1) into 1
7.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.135 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.136 * [taylor]: Taking taylor expansion of 1 in im
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [taylor]: Taking taylor expansion of 0 in im
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.139 * [taylor]: Taking taylor expansion of 1/2 in im
7.139 * [backup-simplify]: Simplify 1/2 into 1/2
7.139 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.139 * [taylor]: Taking taylor expansion of im in im
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (* 1 1) into 1
7.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.141 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.144 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.145 * [taylor]: Taking taylor expansion of 0 in im
7.145 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.147 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.147 * [taylor]: Taking taylor expansion of re in im
7.147 * [backup-simplify]: Simplify re into re
7.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.148 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.148 * [taylor]: Taking taylor expansion of im in im
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 1 into 1
7.148 * [backup-simplify]: Simplify (* 1 1) into 1
7.148 * [backup-simplify]: Simplify (/ 1 1) into 1
7.149 * [backup-simplify]: Simplify (+ 0 1) into 1
7.149 * [backup-simplify]: Simplify (sqrt 1) into 1
7.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.152 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.152 * [taylor]: Taking taylor expansion of re in re
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 1 into 1
7.152 * [backup-simplify]: Simplify (* 1 1) into 1
7.152 * [backup-simplify]: Simplify (/ 1 1) into 1
7.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.153 * [taylor]: Taking taylor expansion of im in re
7.153 * [backup-simplify]: Simplify im into im
7.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.153 * [backup-simplify]: Simplify (+ 1 0) into 1
7.154 * [backup-simplify]: Simplify (sqrt 1) into 1
7.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.155 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.156 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.156 * [taylor]: Taking taylor expansion of re in re
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 1 into 1
7.156 * [backup-simplify]: Simplify (* 1 1) into 1
7.157 * [backup-simplify]: Simplify (/ 1 1) into 1
7.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.157 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.157 * [taylor]: Taking taylor expansion of im in re
7.157 * [backup-simplify]: Simplify im into im
7.157 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.158 * [backup-simplify]: Simplify (+ 1 0) into 1
7.158 * [backup-simplify]: Simplify (sqrt 1) into 1
7.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.160 * [backup-simplify]: Simplify (+ 0 0) into 0
7.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.160 * [taylor]: Taking taylor expansion of 1 in im
7.160 * [backup-simplify]: Simplify 1 into 1
7.160 * [taylor]: Taking taylor expansion of 0 in im
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 1 into 1
7.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.162 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.164 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.164 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.164 * [taylor]: Taking taylor expansion of 1/2 in im
7.164 * [backup-simplify]: Simplify 1/2 into 1/2
7.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.164 * [taylor]: Taking taylor expansion of im in im
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [backup-simplify]: Simplify (* 1 1) into 1
7.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.169 * [backup-simplify]: Simplify (+ 0 0) into 0
7.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.169 * [taylor]: Taking taylor expansion of 0 in im
7.169 * [backup-simplify]: Simplify 0 into 0
7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.172 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
7.172 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.172 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.172 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.172 * [taylor]: Taking taylor expansion of im in im
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 1 into 1
7.172 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.172 * [taylor]: Taking taylor expansion of re in im
7.172 * [backup-simplify]: Simplify re into re
7.172 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.172 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.172 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.173 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.173 * [backup-simplify]: Simplify (+ 0 0) into 0
7.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.173 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.173 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.173 * [taylor]: Taking taylor expansion of im in re
7.173 * [backup-simplify]: Simplify im into im
7.173 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.173 * [taylor]: Taking taylor expansion of re in re
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 1 into 1
7.173 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.174 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.174 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.174 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.174 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.174 * [taylor]: Taking taylor expansion of im in re
7.174 * [backup-simplify]: Simplify im into im
7.174 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.174 * [taylor]: Taking taylor expansion of re in re
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 1 into 1
7.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.175 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.175 * [backup-simplify]: Simplify (+ 0 0) into 0
7.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.176 * [taylor]: Taking taylor expansion of im in im
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [taylor]: Taking taylor expansion of 0 in im
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.177 * [backup-simplify]: Simplify (* 1 1) into 1
7.177 * [backup-simplify]: Simplify (+ 0 1) into 1
7.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.178 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.178 * [taylor]: Taking taylor expansion of 1/2 in im
7.178 * [backup-simplify]: Simplify 1/2 into 1/2
7.178 * [taylor]: Taking taylor expansion of im in im
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 1 into 1
7.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.181 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.181 * [taylor]: Taking taylor expansion of 0 in im
7.181 * [backup-simplify]: Simplify 0 into 0
7.181 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.182 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.183 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.183 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.183 * [taylor]: Taking taylor expansion of re in im
7.183 * [backup-simplify]: Simplify re into re
7.183 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.183 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.183 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.183 * [taylor]: Taking taylor expansion of im in im
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [backup-simplify]: Simplify (* 1 1) into 1
7.184 * [backup-simplify]: Simplify (/ 1 1) into 1
7.184 * [backup-simplify]: Simplify (+ 0 1) into 1
7.185 * [backup-simplify]: Simplify (sqrt 1) into 1
7.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.187 * [backup-simplify]: Simplify (+ 0 0) into 0
7.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.188 * [taylor]: Taking taylor expansion of re in re
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 1 into 1
7.188 * [backup-simplify]: Simplify (* 1 1) into 1
7.188 * [backup-simplify]: Simplify (/ 1 1) into 1
7.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.188 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.188 * [taylor]: Taking taylor expansion of im in re
7.188 * [backup-simplify]: Simplify im into im
7.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.189 * [backup-simplify]: Simplify (+ 1 0) into 1
7.189 * [backup-simplify]: Simplify (sqrt 1) into 1
7.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.192 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.192 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.192 * [taylor]: Taking taylor expansion of re in re
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [backup-simplify]: Simplify (* 1 1) into 1
7.193 * [backup-simplify]: Simplify (/ 1 1) into 1
7.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.193 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.193 * [taylor]: Taking taylor expansion of im in re
7.193 * [backup-simplify]: Simplify im into im
7.193 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.193 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.193 * [backup-simplify]: Simplify (+ 1 0) into 1
7.194 * [backup-simplify]: Simplify (sqrt 1) into 1
7.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.196 * [backup-simplify]: Simplify (+ 0 0) into 0
7.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.196 * [taylor]: Taking taylor expansion of 1 in im
7.196 * [backup-simplify]: Simplify 1 into 1
7.196 * [taylor]: Taking taylor expansion of 0 in im
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify 1 into 1
7.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.200 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.200 * [taylor]: Taking taylor expansion of 1/2 in im
7.200 * [backup-simplify]: Simplify 1/2 into 1/2
7.200 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.200 * [taylor]: Taking taylor expansion of im in im
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 1 into 1
7.200 * [backup-simplify]: Simplify (* 1 1) into 1
7.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.205 * [backup-simplify]: Simplify (+ 0 0) into 0
7.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.206 * [taylor]: Taking taylor expansion of 0 in im
7.206 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.208 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.208 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.208 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.208 * [taylor]: Taking taylor expansion of re in im
7.208 * [backup-simplify]: Simplify re into re
7.208 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.209 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.209 * [taylor]: Taking taylor expansion of im in im
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify 1 into 1
7.209 * [backup-simplify]: Simplify (* 1 1) into 1
7.209 * [backup-simplify]: Simplify (/ 1 1) into 1
7.210 * [backup-simplify]: Simplify (+ 0 1) into 1
7.210 * [backup-simplify]: Simplify (sqrt 1) into 1
7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.213 * [taylor]: Taking taylor expansion of re in re
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 1 into 1
7.213 * [backup-simplify]: Simplify (* 1 1) into 1
7.213 * [backup-simplify]: Simplify (/ 1 1) into 1
7.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.214 * [taylor]: Taking taylor expansion of im in re
7.214 * [backup-simplify]: Simplify im into im
7.214 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.214 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.214 * [backup-simplify]: Simplify (+ 1 0) into 1
7.215 * [backup-simplify]: Simplify (sqrt 1) into 1
7.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.216 * [backup-simplify]: Simplify (+ 0 0) into 0
7.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.217 * [taylor]: Taking taylor expansion of re in re
7.217 * [backup-simplify]: Simplify 0 into 0
7.217 * [backup-simplify]: Simplify 1 into 1
7.217 * [backup-simplify]: Simplify (* 1 1) into 1
7.218 * [backup-simplify]: Simplify (/ 1 1) into 1
7.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.218 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.218 * [taylor]: Taking taylor expansion of im in re
7.218 * [backup-simplify]: Simplify im into im
7.218 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.219 * [backup-simplify]: Simplify (+ 1 0) into 1
7.219 * [backup-simplify]: Simplify (sqrt 1) into 1
7.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.221 * [backup-simplify]: Simplify (+ 0 0) into 0
7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.221 * [taylor]: Taking taylor expansion of 1 in im
7.221 * [backup-simplify]: Simplify 1 into 1
7.221 * [taylor]: Taking taylor expansion of 0 in im
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify 1 into 1
7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.225 * [taylor]: Taking taylor expansion of 1/2 in im
7.225 * [backup-simplify]: Simplify 1/2 into 1/2
7.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.225 * [taylor]: Taking taylor expansion of im in im
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 1 into 1
7.225 * [backup-simplify]: Simplify (* 1 1) into 1
7.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.230 * [backup-simplify]: Simplify (+ 0 0) into 0
7.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.230 * [taylor]: Taking taylor expansion of 0 in im
7.230 * [backup-simplify]: Simplify 0 into 0
7.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
7.233 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.233 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.233 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.233 * [taylor]: Taking taylor expansion of im in im
7.233 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify 1 into 1
7.233 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.233 * [taylor]: Taking taylor expansion of re in im
7.233 * [backup-simplify]: Simplify re into re
7.233 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.233 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.233 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.233 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.234 * [backup-simplify]: Simplify (+ 0 0) into 0
7.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.234 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.234 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.234 * [taylor]: Taking taylor expansion of im in re
7.234 * [backup-simplify]: Simplify im into im
7.234 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.234 * [taylor]: Taking taylor expansion of re in re
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.234 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.235 * [backup-simplify]: Simplify (+ 0 0) into 0
7.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.235 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.235 * [taylor]: Taking taylor expansion of im in re
7.235 * [backup-simplify]: Simplify im into im
7.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.235 * [taylor]: Taking taylor expansion of re in re
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 1 into 1
7.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.236 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.236 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.236 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.237 * [taylor]: Taking taylor expansion of im in im
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 1 into 1
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [taylor]: Taking taylor expansion of 0 in im
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify 1 into 1
7.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.238 * [backup-simplify]: Simplify (* 1 1) into 1
7.238 * [backup-simplify]: Simplify (+ 0 1) into 1
7.239 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.239 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.239 * [taylor]: Taking taylor expansion of 1/2 in im
7.239 * [backup-simplify]: Simplify 1/2 into 1/2
7.239 * [taylor]: Taking taylor expansion of im in im
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 1 into 1
7.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.242 * [taylor]: Taking taylor expansion of 0 in im
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.244 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.244 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.244 * [taylor]: Taking taylor expansion of re in im
7.244 * [backup-simplify]: Simplify re into re
7.244 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.244 * [taylor]: Taking taylor expansion of im in im
7.244 * [backup-simplify]: Simplify 0 into 0
7.244 * [backup-simplify]: Simplify 1 into 1
7.245 * [backup-simplify]: Simplify (* 1 1) into 1
7.245 * [backup-simplify]: Simplify (/ 1 1) into 1
7.245 * [backup-simplify]: Simplify (+ 0 1) into 1
7.246 * [backup-simplify]: Simplify (sqrt 1) into 1
7.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.248 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.248 * [taylor]: Taking taylor expansion of re in re
7.248 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify 1 into 1
7.249 * [backup-simplify]: Simplify (* 1 1) into 1
7.249 * [backup-simplify]: Simplify (/ 1 1) into 1
7.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.249 * [taylor]: Taking taylor expansion of im in re
7.249 * [backup-simplify]: Simplify im into im
7.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.250 * [backup-simplify]: Simplify (+ 1 0) into 1
7.250 * [backup-simplify]: Simplify (sqrt 1) into 1
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.252 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.252 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.253 * [taylor]: Taking taylor expansion of re in re
7.253 * [backup-simplify]: Simplify 0 into 0
7.253 * [backup-simplify]: Simplify 1 into 1
7.253 * [backup-simplify]: Simplify (* 1 1) into 1
7.253 * [backup-simplify]: Simplify (/ 1 1) into 1
7.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.253 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.253 * [taylor]: Taking taylor expansion of im in re
7.253 * [backup-simplify]: Simplify im into im
7.253 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.254 * [backup-simplify]: Simplify (+ 1 0) into 1
7.254 * [backup-simplify]: Simplify (sqrt 1) into 1
7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.258 * [backup-simplify]: Simplify (+ 0 0) into 0
7.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.259 * [taylor]: Taking taylor expansion of 1 in im
7.259 * [backup-simplify]: Simplify 1 into 1
7.259 * [taylor]: Taking taylor expansion of 0 in im
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [backup-simplify]: Simplify 1 into 1
7.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.261 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.262 * [taylor]: Taking taylor expansion of 1/2 in im
7.262 * [backup-simplify]: Simplify 1/2 into 1/2
7.262 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.262 * [taylor]: Taking taylor expansion of im in im
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify 1 into 1
7.262 * [backup-simplify]: Simplify (* 1 1) into 1
7.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.266 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.267 * [backup-simplify]: Simplify (+ 0 0) into 0
7.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.268 * [taylor]: Taking taylor expansion of 0 in im
7.268 * [backup-simplify]: Simplify 0 into 0
7.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.270 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.270 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.270 * [taylor]: Taking taylor expansion of re in im
7.270 * [backup-simplify]: Simplify re into re
7.270 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.270 * [taylor]: Taking taylor expansion of im in im
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (/ 1 1) into 1
7.271 * [backup-simplify]: Simplify (+ 0 1) into 1
7.271 * [backup-simplify]: Simplify (sqrt 1) into 1
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.272 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.273 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.273 * [taylor]: Taking taylor expansion of re in re
7.273 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify 1 into 1
7.273 * [backup-simplify]: Simplify (* 1 1) into 1
7.273 * [backup-simplify]: Simplify (/ 1 1) into 1
7.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.273 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.273 * [taylor]: Taking taylor expansion of im in re
7.273 * [backup-simplify]: Simplify im into im
7.273 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.274 * [backup-simplify]: Simplify (+ 1 0) into 1
7.274 * [backup-simplify]: Simplify (sqrt 1) into 1
7.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.275 * [backup-simplify]: Simplify (+ 0 0) into 0
7.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.275 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.276 * [taylor]: Taking taylor expansion of re in re
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify 1 into 1
7.276 * [backup-simplify]: Simplify (* 1 1) into 1
7.276 * [backup-simplify]: Simplify (/ 1 1) into 1
7.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.276 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.276 * [taylor]: Taking taylor expansion of im in re
7.276 * [backup-simplify]: Simplify im into im
7.276 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.277 * [backup-simplify]: Simplify (+ 1 0) into 1
7.277 * [backup-simplify]: Simplify (sqrt 1) into 1
7.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.278 * [backup-simplify]: Simplify (+ 0 0) into 0
7.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.278 * [taylor]: Taking taylor expansion of 1 in im
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [taylor]: Taking taylor expansion of 0 in im
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.280 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.280 * [taylor]: Taking taylor expansion of 1/2 in im
7.280 * [backup-simplify]: Simplify 1/2 into 1/2
7.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.280 * [taylor]: Taking taylor expansion of im in im
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.281 * [backup-simplify]: Simplify (* 1 1) into 1
7.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.283 * [backup-simplify]: Simplify (+ 0 0) into 0
7.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.284 * [taylor]: Taking taylor expansion of 0 in im
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.285 * * * [progress]: simplifying candidates
7.286 * [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))))
  (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))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
7.287 * * [simplify]: iteration 0: 38 enodes
7.295 * * [simplify]: iteration 1: 91 enodes
7.320 * * [simplify]: iteration 2: 195 enodes
7.416 * * [simplify]: iteration 3: 429 enodes
7.627 * * [simplify]: iteration 4: 992 enodes
8.334 * * [simplify]: iteration 5: 3274 enodes
9.792 * * [simplify]: iteration complete: 5001 enodes
9.792 * * [simplify]: Extracting #0: cost 18 inf + 0
9.792 * * [simplify]: Extracting #1: cost 36 inf + 4
9.793 * * [simplify]: Extracting #2: cost 198 inf + 49
9.800 * * [simplify]: Extracting #3: cost 844 inf + 9394
9.839 * * [simplify]: Extracting #4: cost 709 inf + 109362
9.893 * * [simplify]: Extracting #5: cost 361 inf + 200387
9.954 * * [simplify]: Extracting #6: cost 181 inf + 287241
10.020 * * [simplify]: Extracting #7: cost 70 inf + 354319
10.101 * * [simplify]: Extracting #8: cost 19 inf + 368136
10.180 * * [simplify]: Extracting #9: cost 0 inf + 373703
10.261 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
10.275 * * * [progress]: adding candidates to table
10.818 * * [progress]: iteration 4 / 4
10.818 * * * [progress]: picking best candidate
10.849 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
10.849 * * * [progress]: localizing error
10.971 * * * [progress]: generating rewritten candidates
10.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
10.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
10.987 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
10.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
11.002 * * * [progress]: generating series expansions
11.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
11.002 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.002 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.002 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.002 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.002 * [taylor]: Taking taylor expansion of im in im
11.002 * [backup-simplify]: Simplify 0 into 0
11.002 * [backup-simplify]: Simplify 1 into 1
11.002 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.002 * [taylor]: Taking taylor expansion of re in im
11.002 * [backup-simplify]: Simplify re into re
11.003 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.003 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.003 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.003 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.004 * [backup-simplify]: Simplify (+ 0 0) into 0
11.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.004 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.004 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.004 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.004 * [taylor]: Taking taylor expansion of im in re
11.004 * [backup-simplify]: Simplify im into im
11.004 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.004 * [taylor]: Taking taylor expansion of re in re
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 1 into 1
11.004 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.004 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.005 * [backup-simplify]: Simplify (+ 0 0) into 0
11.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.005 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.005 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.005 * [taylor]: Taking taylor expansion of im in re
11.005 * [backup-simplify]: Simplify im into im
11.005 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.005 * [taylor]: Taking taylor expansion of re in re
11.005 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify 1 into 1
11.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.005 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.005 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.006 * [backup-simplify]: Simplify (+ 0 0) into 0
11.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.006 * [taylor]: Taking taylor expansion of im in im
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify 1 into 1
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [taylor]: Taking taylor expansion of 0 in im
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify 1 into 1
11.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.007 * [backup-simplify]: Simplify (* 1 1) into 1
11.008 * [backup-simplify]: Simplify (+ 0 1) into 1
11.008 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.008 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.008 * [taylor]: Taking taylor expansion of 1/2 in im
11.008 * [backup-simplify]: Simplify 1/2 into 1/2
11.008 * [taylor]: Taking taylor expansion of im in im
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify 1 into 1
11.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.011 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.012 * [backup-simplify]: Simplify (+ 0 0) into 0
11.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.012 * [taylor]: Taking taylor expansion of 0 in im
11.012 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.013 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.014 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.014 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.014 * [taylor]: Taking taylor expansion of re in im
11.014 * [backup-simplify]: Simplify re into re
11.014 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.014 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.014 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.014 * [taylor]: Taking taylor expansion of im in im
11.014 * [backup-simplify]: Simplify 0 into 0
11.014 * [backup-simplify]: Simplify 1 into 1
11.015 * [backup-simplify]: Simplify (* 1 1) into 1
11.015 * [backup-simplify]: Simplify (/ 1 1) into 1
11.015 * [backup-simplify]: Simplify (+ 0 1) into 1
11.016 * [backup-simplify]: Simplify (sqrt 1) into 1
11.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.017 * [backup-simplify]: Simplify (+ 0 0) into 0
11.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.018 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.018 * [taylor]: Taking taylor expansion of re in re
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify 1 into 1
11.019 * [backup-simplify]: Simplify (* 1 1) into 1
11.019 * [backup-simplify]: Simplify (/ 1 1) into 1
11.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.019 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.019 * [taylor]: Taking taylor expansion of im in re
11.019 * [backup-simplify]: Simplify im into im
11.019 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.020 * [backup-simplify]: Simplify (+ 1 0) into 1
11.020 * [backup-simplify]: Simplify (sqrt 1) into 1
11.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.022 * [backup-simplify]: Simplify (+ 0 0) into 0
11.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.023 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.023 * [taylor]: Taking taylor expansion of re in re
11.023 * [backup-simplify]: Simplify 0 into 0
11.023 * [backup-simplify]: Simplify 1 into 1
11.023 * [backup-simplify]: Simplify (* 1 1) into 1
11.023 * [backup-simplify]: Simplify (/ 1 1) into 1
11.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.023 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.023 * [taylor]: Taking taylor expansion of im in re
11.023 * [backup-simplify]: Simplify im into im
11.023 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.024 * [backup-simplify]: Simplify (+ 1 0) into 1
11.024 * [backup-simplify]: Simplify (sqrt 1) into 1
11.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.026 * [backup-simplify]: Simplify (+ 0 0) into 0
11.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.027 * [taylor]: Taking taylor expansion of 1 in im
11.027 * [backup-simplify]: Simplify 1 into 1
11.027 * [taylor]: Taking taylor expansion of 0 in im
11.027 * [backup-simplify]: Simplify 0 into 0
11.027 * [backup-simplify]: Simplify 1 into 1
11.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.030 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.030 * [taylor]: Taking taylor expansion of 1/2 in im
11.030 * [backup-simplify]: Simplify 1/2 into 1/2
11.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.030 * [taylor]: Taking taylor expansion of im in im
11.030 * [backup-simplify]: Simplify 0 into 0
11.030 * [backup-simplify]: Simplify 1 into 1
11.031 * [backup-simplify]: Simplify (* 1 1) into 1
11.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.035 * [backup-simplify]: Simplify (+ 0 0) into 0
11.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.036 * [taylor]: Taking taylor expansion of 0 in im
11.036 * [backup-simplify]: Simplify 0 into 0
11.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.038 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.038 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.038 * [taylor]: Taking taylor expansion of re in im
11.038 * [backup-simplify]: Simplify re into re
11.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.038 * [taylor]: Taking taylor expansion of im in im
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify 1 into 1
11.039 * [backup-simplify]: Simplify (* 1 1) into 1
11.039 * [backup-simplify]: Simplify (/ 1 1) into 1
11.039 * [backup-simplify]: Simplify (+ 0 1) into 1
11.039 * [backup-simplify]: Simplify (sqrt 1) into 1
11.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.040 * [backup-simplify]: Simplify (+ 0 0) into 0
11.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.041 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.041 * [taylor]: Taking taylor expansion of re in re
11.041 * [backup-simplify]: Simplify 0 into 0
11.041 * [backup-simplify]: Simplify 1 into 1
11.043 * [backup-simplify]: Simplify (* 1 1) into 1
11.043 * [backup-simplify]: Simplify (/ 1 1) into 1
11.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.043 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.043 * [taylor]: Taking taylor expansion of im in re
11.044 * [backup-simplify]: Simplify im into im
11.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.044 * [backup-simplify]: Simplify (+ 1 0) into 1
11.044 * [backup-simplify]: Simplify (sqrt 1) into 1
11.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.045 * [backup-simplify]: Simplify (+ 0 0) into 0
11.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.046 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.046 * [taylor]: Taking taylor expansion of re in re
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * [backup-simplify]: Simplify 1 into 1
11.046 * [backup-simplify]: Simplify (* 1 1) into 1
11.046 * [backup-simplify]: Simplify (/ 1 1) into 1
11.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.046 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.046 * [taylor]: Taking taylor expansion of im in re
11.046 * [backup-simplify]: Simplify im into im
11.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.046 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.047 * [backup-simplify]: Simplify (+ 1 0) into 1
11.047 * [backup-simplify]: Simplify (sqrt 1) into 1
11.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.048 * [backup-simplify]: Simplify (+ 0 0) into 0
11.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.048 * [taylor]: Taking taylor expansion of 1 in im
11.048 * [backup-simplify]: Simplify 1 into 1
11.048 * [taylor]: Taking taylor expansion of 0 in im
11.048 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.050 * [taylor]: Taking taylor expansion of 1/2 in im
11.051 * [backup-simplify]: Simplify 1/2 into 1/2
11.051 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.051 * [taylor]: Taking taylor expansion of im in im
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify (* 1 1) into 1
11.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.052 * [backup-simplify]: Simplify 0 into 0
11.052 * [backup-simplify]: Simplify 0 into 0
11.052 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.054 * [backup-simplify]: Simplify (+ 0 0) into 0
11.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.054 * [taylor]: Taking taylor expansion of 0 in im
11.054 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.055 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
11.056 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.056 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.056 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.056 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.056 * [taylor]: Taking taylor expansion of im in im
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify 1 into 1
11.056 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.056 * [taylor]: Taking taylor expansion of re in im
11.056 * [backup-simplify]: Simplify re into re
11.056 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.056 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.056 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.056 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.056 * [backup-simplify]: Simplify (+ 0 0) into 0
11.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.056 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.056 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.056 * [taylor]: Taking taylor expansion of im in re
11.056 * [backup-simplify]: Simplify im into im
11.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.056 * [taylor]: Taking taylor expansion of re in re
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify 1 into 1
11.056 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.057 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.057 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.057 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.057 * [backup-simplify]: Simplify (+ 0 0) into 0
11.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.057 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.057 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.057 * [taylor]: Taking taylor expansion of im in re
11.057 * [backup-simplify]: Simplify im into im
11.057 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.057 * [taylor]: Taking taylor expansion of re in re
11.057 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify 1 into 1
11.057 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.057 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.057 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.057 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.058 * [backup-simplify]: Simplify (+ 0 0) into 0
11.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.058 * [taylor]: Taking taylor expansion of im in im
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 1 into 1
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [taylor]: Taking taylor expansion of 0 in im
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 1 into 1
11.058 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.058 * [backup-simplify]: Simplify (* 1 1) into 1
11.059 * [backup-simplify]: Simplify (+ 0 1) into 1
11.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.059 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.059 * [taylor]: Taking taylor expansion of 1/2 in im
11.059 * [backup-simplify]: Simplify 1/2 into 1/2
11.059 * [taylor]: Taking taylor expansion of im in im
11.059 * [backup-simplify]: Simplify 0 into 0
11.059 * [backup-simplify]: Simplify 1 into 1
11.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.061 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.062 * [backup-simplify]: Simplify (+ 0 0) into 0
11.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.062 * [taylor]: Taking taylor expansion of 0 in im
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.063 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.063 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.063 * [taylor]: Taking taylor expansion of re in im
11.063 * [backup-simplify]: Simplify re into re
11.063 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.063 * [taylor]: Taking taylor expansion of im in im
11.063 * [backup-simplify]: Simplify 0 into 0
11.063 * [backup-simplify]: Simplify 1 into 1
11.063 * [backup-simplify]: Simplify (* 1 1) into 1
11.063 * [backup-simplify]: Simplify (/ 1 1) into 1
11.064 * [backup-simplify]: Simplify (+ 0 1) into 1
11.064 * [backup-simplify]: Simplify (sqrt 1) into 1
11.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.065 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.065 * [taylor]: Taking taylor expansion of re in re
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 1 into 1
11.066 * [backup-simplify]: Simplify (* 1 1) into 1
11.066 * [backup-simplify]: Simplify (/ 1 1) into 1
11.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.066 * [taylor]: Taking taylor expansion of im in re
11.066 * [backup-simplify]: Simplify im into im
11.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.067 * [backup-simplify]: Simplify (+ 1 0) into 1
11.067 * [backup-simplify]: Simplify (sqrt 1) into 1
11.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.069 * [backup-simplify]: Simplify (+ 0 0) into 0
11.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.070 * [taylor]: Taking taylor expansion of re in re
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 1 into 1
11.070 * [backup-simplify]: Simplify (* 1 1) into 1
11.071 * [backup-simplify]: Simplify (/ 1 1) into 1
11.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.071 * [taylor]: Taking taylor expansion of im in re
11.071 * [backup-simplify]: Simplify im into im
11.071 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.071 * [backup-simplify]: Simplify (+ 1 0) into 1
11.072 * [backup-simplify]: Simplify (sqrt 1) into 1
11.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.074 * [backup-simplify]: Simplify (+ 0 0) into 0
11.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.074 * [taylor]: Taking taylor expansion of 1 in im
11.074 * [backup-simplify]: Simplify 1 into 1
11.074 * [taylor]: Taking taylor expansion of 0 in im
11.074 * [backup-simplify]: Simplify 0 into 0
11.074 * [backup-simplify]: Simplify 1 into 1
11.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.078 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.078 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.078 * [taylor]: Taking taylor expansion of 1/2 in im
11.078 * [backup-simplify]: Simplify 1/2 into 1/2
11.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.078 * [taylor]: Taking taylor expansion of im in im
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 1 into 1
11.078 * [backup-simplify]: Simplify (* 1 1) into 1
11.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 0 into 0
11.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.083 * [backup-simplify]: Simplify (+ 0 0) into 0
11.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.083 * [taylor]: Taking taylor expansion of 0 in im
11.083 * [backup-simplify]: Simplify 0 into 0
11.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.086 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.086 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.086 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.086 * [taylor]: Taking taylor expansion of re in im
11.086 * [backup-simplify]: Simplify re into re
11.086 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.086 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.086 * [taylor]: Taking taylor expansion of im in im
11.086 * [backup-simplify]: Simplify 0 into 0
11.086 * [backup-simplify]: Simplify 1 into 1
11.087 * [backup-simplify]: Simplify (* 1 1) into 1
11.087 * [backup-simplify]: Simplify (/ 1 1) into 1
11.087 * [backup-simplify]: Simplify (+ 0 1) into 1
11.088 * [backup-simplify]: Simplify (sqrt 1) into 1
11.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.089 * [backup-simplify]: Simplify (+ 0 0) into 0
11.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.090 * [taylor]: Taking taylor expansion of re in re
11.090 * [backup-simplify]: Simplify 0 into 0
11.090 * [backup-simplify]: Simplify 1 into 1
11.091 * [backup-simplify]: Simplify (* 1 1) into 1
11.091 * [backup-simplify]: Simplify (/ 1 1) into 1
11.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.091 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.091 * [taylor]: Taking taylor expansion of im in re
11.091 * [backup-simplify]: Simplify im into im
11.091 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.092 * [backup-simplify]: Simplify (+ 1 0) into 1
11.092 * [backup-simplify]: Simplify (sqrt 1) into 1
11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.094 * [backup-simplify]: Simplify (+ 0 0) into 0
11.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.094 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.094 * [taylor]: Taking taylor expansion of re in re
11.095 * [backup-simplify]: Simplify 0 into 0
11.095 * [backup-simplify]: Simplify 1 into 1
11.095 * [backup-simplify]: Simplify (* 1 1) into 1
11.095 * [backup-simplify]: Simplify (/ 1 1) into 1
11.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.095 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.095 * [taylor]: Taking taylor expansion of im in re
11.095 * [backup-simplify]: Simplify im into im
11.095 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.096 * [backup-simplify]: Simplify (+ 1 0) into 1
11.096 * [backup-simplify]: Simplify (sqrt 1) into 1
11.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.098 * [backup-simplify]: Simplify (+ 0 0) into 0
11.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.099 * [taylor]: Taking taylor expansion of 1 in im
11.099 * [backup-simplify]: Simplify 1 into 1
11.099 * [taylor]: Taking taylor expansion of 0 in im
11.099 * [backup-simplify]: Simplify 0 into 0
11.099 * [backup-simplify]: Simplify 1 into 1
11.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.102 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.102 * [taylor]: Taking taylor expansion of 1/2 in im
11.102 * [backup-simplify]: Simplify 1/2 into 1/2
11.102 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.102 * [taylor]: Taking taylor expansion of im in im
11.102 * [backup-simplify]: Simplify 0 into 0
11.102 * [backup-simplify]: Simplify 1 into 1
11.103 * [backup-simplify]: Simplify (* 1 1) into 1
11.103 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.104 * [backup-simplify]: Simplify 0 into 0
11.105 * [backup-simplify]: Simplify 0 into 0
11.105 * [backup-simplify]: Simplify 0 into 0
11.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.107 * [backup-simplify]: Simplify (+ 0 0) into 0
11.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.108 * [taylor]: Taking taylor expansion of 0 in im
11.108 * [backup-simplify]: Simplify 0 into 0
11.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.110 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
11.110 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.110 * [taylor]: Taking taylor expansion of im in im
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify 1 into 1
11.110 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.110 * [taylor]: Taking taylor expansion of re in im
11.110 * [backup-simplify]: Simplify re into re
11.110 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.110 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.110 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.111 * [backup-simplify]: Simplify (+ 0 0) into 0
11.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.111 * [taylor]: Taking taylor expansion of im in re
11.111 * [backup-simplify]: Simplify im into im
11.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.111 * [taylor]: Taking taylor expansion of re in re
11.111 * [backup-simplify]: Simplify 0 into 0
11.111 * [backup-simplify]: Simplify 1 into 1
11.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.111 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.112 * [backup-simplify]: Simplify (+ 0 0) into 0
11.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.112 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.112 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.112 * [taylor]: Taking taylor expansion of im in re
11.112 * [backup-simplify]: Simplify im into im
11.112 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.112 * [taylor]: Taking taylor expansion of re in re
11.112 * [backup-simplify]: Simplify 0 into 0
11.112 * [backup-simplify]: Simplify 1 into 1
11.112 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.112 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.112 * [backup-simplify]: Simplify (+ 0 0) into 0
11.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.113 * [taylor]: Taking taylor expansion of im in im
11.113 * [backup-simplify]: Simplify 0 into 0
11.113 * [backup-simplify]: Simplify 1 into 1
11.113 * [backup-simplify]: Simplify 0 into 0
11.113 * [taylor]: Taking taylor expansion of 0 in im
11.113 * [backup-simplify]: Simplify 0 into 0
11.113 * [backup-simplify]: Simplify 0 into 0
11.113 * [backup-simplify]: Simplify 1 into 1
11.113 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.113 * [backup-simplify]: Simplify (* 1 1) into 1
11.113 * [backup-simplify]: Simplify (+ 0 1) into 1
11.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.114 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.114 * [taylor]: Taking taylor expansion of 1/2 in im
11.114 * [backup-simplify]: Simplify 1/2 into 1/2
11.114 * [taylor]: Taking taylor expansion of im in im
11.114 * [backup-simplify]: Simplify 0 into 0
11.114 * [backup-simplify]: Simplify 1 into 1
11.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.115 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.116 * [backup-simplify]: Simplify (+ 0 0) into 0
11.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.116 * [taylor]: Taking taylor expansion of 0 in im
11.116 * [backup-simplify]: Simplify 0 into 0
11.116 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.117 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.117 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.117 * [taylor]: Taking taylor expansion of re in im
11.117 * [backup-simplify]: Simplify re into re
11.117 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.117 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.117 * [taylor]: Taking taylor expansion of im in im
11.117 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify 1 into 1
11.118 * [backup-simplify]: Simplify (* 1 1) into 1
11.118 * [backup-simplify]: Simplify (/ 1 1) into 1
11.118 * [backup-simplify]: Simplify (+ 0 1) into 1
11.118 * [backup-simplify]: Simplify (sqrt 1) into 1
11.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.119 * [backup-simplify]: Simplify (+ 0 0) into 0
11.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.120 * [taylor]: Taking taylor expansion of re in re
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify 1 into 1
11.120 * [backup-simplify]: Simplify (* 1 1) into 1
11.120 * [backup-simplify]: Simplify (/ 1 1) into 1
11.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.120 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.120 * [taylor]: Taking taylor expansion of im in re
11.120 * [backup-simplify]: Simplify im into im
11.120 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.121 * [backup-simplify]: Simplify (+ 1 0) into 1
11.121 * [backup-simplify]: Simplify (sqrt 1) into 1
11.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.122 * [backup-simplify]: Simplify (+ 0 0) into 0
11.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.123 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.123 * [taylor]: Taking taylor expansion of re in re
11.123 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify 1 into 1
11.123 * [backup-simplify]: Simplify (* 1 1) into 1
11.123 * [backup-simplify]: Simplify (/ 1 1) into 1
11.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.123 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.123 * [taylor]: Taking taylor expansion of im in re
11.123 * [backup-simplify]: Simplify im into im
11.123 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.124 * [backup-simplify]: Simplify (+ 1 0) into 1
11.124 * [backup-simplify]: Simplify (sqrt 1) into 1
11.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.125 * [backup-simplify]: Simplify (+ 0 0) into 0
11.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.125 * [taylor]: Taking taylor expansion of 1 in im
11.125 * [backup-simplify]: Simplify 1 into 1
11.125 * [taylor]: Taking taylor expansion of 0 in im
11.125 * [backup-simplify]: Simplify 0 into 0
11.125 * [backup-simplify]: Simplify 1 into 1
11.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.127 * [taylor]: Taking taylor expansion of 1/2 in im
11.127 * [backup-simplify]: Simplify 1/2 into 1/2
11.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.127 * [taylor]: Taking taylor expansion of im in im
11.127 * [backup-simplify]: Simplify 0 into 0
11.127 * [backup-simplify]: Simplify 1 into 1
11.128 * [backup-simplify]: Simplify (* 1 1) into 1
11.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.129 * [backup-simplify]: Simplify 0 into 0
11.129 * [backup-simplify]: Simplify 0 into 0
11.129 * [backup-simplify]: Simplify 0 into 0
11.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.131 * [backup-simplify]: Simplify (+ 0 0) into 0
11.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.131 * [taylor]: Taking taylor expansion of 0 in im
11.131 * [backup-simplify]: Simplify 0 into 0
11.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.132 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.132 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.132 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.133 * [taylor]: Taking taylor expansion of re in im
11.133 * [backup-simplify]: Simplify re into re
11.133 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.133 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.133 * [taylor]: Taking taylor expansion of im in im
11.133 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify 1 into 1
11.133 * [backup-simplify]: Simplify (* 1 1) into 1
11.133 * [backup-simplify]: Simplify (/ 1 1) into 1
11.133 * [backup-simplify]: Simplify (+ 0 1) into 1
11.134 * [backup-simplify]: Simplify (sqrt 1) into 1
11.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.135 * [backup-simplify]: Simplify (+ 0 0) into 0
11.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.135 * [taylor]: Taking taylor expansion of re in re
11.135 * [backup-simplify]: Simplify 0 into 0
11.135 * [backup-simplify]: Simplify 1 into 1
11.136 * [backup-simplify]: Simplify (* 1 1) into 1
11.136 * [backup-simplify]: Simplify (/ 1 1) into 1
11.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.136 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.136 * [taylor]: Taking taylor expansion of im in re
11.136 * [backup-simplify]: Simplify im into im
11.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.136 * [backup-simplify]: Simplify (+ 1 0) into 1
11.137 * [backup-simplify]: Simplify (sqrt 1) into 1
11.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.138 * [backup-simplify]: Simplify (+ 0 0) into 0
11.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.138 * [taylor]: Taking taylor expansion of re in re
11.138 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [backup-simplify]: Simplify (* 1 1) into 1
11.139 * [backup-simplify]: Simplify (/ 1 1) into 1
11.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.139 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.139 * [taylor]: Taking taylor expansion of im in re
11.139 * [backup-simplify]: Simplify im into im
11.139 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.140 * [backup-simplify]: Simplify (+ 1 0) into 1
11.140 * [backup-simplify]: Simplify (sqrt 1) into 1
11.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.142 * [backup-simplify]: Simplify (+ 0 0) into 0
11.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.143 * [taylor]: Taking taylor expansion of 1 in im
11.143 * [backup-simplify]: Simplify 1 into 1
11.143 * [taylor]: Taking taylor expansion of 0 in im
11.143 * [backup-simplify]: Simplify 0 into 0
11.143 * [backup-simplify]: Simplify 1 into 1
11.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.146 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.146 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.146 * [taylor]: Taking taylor expansion of 1/2 in im
11.146 * [backup-simplify]: Simplify 1/2 into 1/2
11.146 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.146 * [taylor]: Taking taylor expansion of im in im
11.146 * [backup-simplify]: Simplify 0 into 0
11.146 * [backup-simplify]: Simplify 1 into 1
11.147 * [backup-simplify]: Simplify (* 1 1) into 1
11.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.148 * [backup-simplify]: Simplify 0 into 0
11.148 * [backup-simplify]: Simplify 0 into 0
11.148 * [backup-simplify]: Simplify 0 into 0
11.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.149 * [backup-simplify]: Simplify (+ 0 0) into 0
11.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.150 * [taylor]: Taking taylor expansion of 0 in im
11.150 * [backup-simplify]: Simplify 0 into 0
11.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.152 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
11.152 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.152 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.152 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.153 * [taylor]: Taking taylor expansion of im in im
11.153 * [backup-simplify]: Simplify 0 into 0
11.153 * [backup-simplify]: Simplify 1 into 1
11.153 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.153 * [taylor]: Taking taylor expansion of re in im
11.153 * [backup-simplify]: Simplify re into re
11.153 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.153 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.153 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.153 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.153 * [backup-simplify]: Simplify (+ 0 0) into 0
11.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.154 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.154 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.154 * [taylor]: Taking taylor expansion of im in re
11.154 * [backup-simplify]: Simplify im into im
11.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.154 * [taylor]: Taking taylor expansion of re in re
11.154 * [backup-simplify]: Simplify 0 into 0
11.154 * [backup-simplify]: Simplify 1 into 1
11.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.154 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.154 * [backup-simplify]: Simplify (+ 0 0) into 0
11.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.154 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.154 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.154 * [taylor]: Taking taylor expansion of im in re
11.154 * [backup-simplify]: Simplify im into im
11.154 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.154 * [taylor]: Taking taylor expansion of re in re
11.154 * [backup-simplify]: Simplify 0 into 0
11.154 * [backup-simplify]: Simplify 1 into 1
11.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.155 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.155 * [backup-simplify]: Simplify (+ 0 0) into 0
11.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.155 * [taylor]: Taking taylor expansion of im in im
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify 1 into 1
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [taylor]: Taking taylor expansion of 0 in im
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify 1 into 1
11.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.156 * [backup-simplify]: Simplify (* 1 1) into 1
11.156 * [backup-simplify]: Simplify (+ 0 1) into 1
11.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.156 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.156 * [taylor]: Taking taylor expansion of 1/2 in im
11.156 * [backup-simplify]: Simplify 1/2 into 1/2
11.156 * [taylor]: Taking taylor expansion of im in im
11.157 * [backup-simplify]: Simplify 0 into 0
11.157 * [backup-simplify]: Simplify 1 into 1
11.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.157 * [backup-simplify]: Simplify 0 into 0
11.157 * [backup-simplify]: Simplify 0 into 0
11.157 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.158 * [backup-simplify]: Simplify (+ 0 0) into 0
11.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.159 * [taylor]: Taking taylor expansion of 0 in im
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.160 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.160 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.160 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.160 * [taylor]: Taking taylor expansion of re in im
11.160 * [backup-simplify]: Simplify re into re
11.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.160 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.160 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.160 * [taylor]: Taking taylor expansion of im in im
11.160 * [backup-simplify]: Simplify 0 into 0
11.160 * [backup-simplify]: Simplify 1 into 1
11.160 * [backup-simplify]: Simplify (* 1 1) into 1
11.160 * [backup-simplify]: Simplify (/ 1 1) into 1
11.161 * [backup-simplify]: Simplify (+ 0 1) into 1
11.161 * [backup-simplify]: Simplify (sqrt 1) into 1
11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.162 * [backup-simplify]: Simplify (+ 0 0) into 0
11.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.163 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.163 * [taylor]: Taking taylor expansion of re in re
11.163 * [backup-simplify]: Simplify 0 into 0
11.163 * [backup-simplify]: Simplify 1 into 1
11.163 * [backup-simplify]: Simplify (* 1 1) into 1
11.163 * [backup-simplify]: Simplify (/ 1 1) into 1
11.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.163 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.163 * [taylor]: Taking taylor expansion of im in re
11.163 * [backup-simplify]: Simplify im into im
11.163 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.164 * [backup-simplify]: Simplify (+ 1 0) into 1
11.164 * [backup-simplify]: Simplify (sqrt 1) into 1
11.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.165 * [backup-simplify]: Simplify (+ 0 0) into 0
11.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.165 * [taylor]: Taking taylor expansion of re in re
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify 1 into 1
11.166 * [backup-simplify]: Simplify (* 1 1) into 1
11.166 * [backup-simplify]: Simplify (/ 1 1) into 1
11.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.166 * [taylor]: Taking taylor expansion of im in re
11.166 * [backup-simplify]: Simplify im into im
11.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.166 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.166 * [backup-simplify]: Simplify (+ 1 0) into 1
11.167 * [backup-simplify]: Simplify (sqrt 1) into 1
11.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.168 * [backup-simplify]: Simplify (+ 0 0) into 0
11.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.168 * [taylor]: Taking taylor expansion of 1 in im
11.168 * [backup-simplify]: Simplify 1 into 1
11.168 * [taylor]: Taking taylor expansion of 0 in im
11.168 * [backup-simplify]: Simplify 0 into 0
11.168 * [backup-simplify]: Simplify 1 into 1
11.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.170 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.170 * [taylor]: Taking taylor expansion of 1/2 in im
11.170 * [backup-simplify]: Simplify 1/2 into 1/2
11.170 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.170 * [taylor]: Taking taylor expansion of im in im
11.170 * [backup-simplify]: Simplify 0 into 0
11.170 * [backup-simplify]: Simplify 1 into 1
11.171 * [backup-simplify]: Simplify (* 1 1) into 1
11.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.172 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.174 * [backup-simplify]: Simplify (+ 0 0) into 0
11.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.174 * [taylor]: Taking taylor expansion of 0 in im
11.174 * [backup-simplify]: Simplify 0 into 0
11.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.177 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.177 * [taylor]: Taking taylor expansion of re in im
11.177 * [backup-simplify]: Simplify re into re
11.177 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.177 * [taylor]: Taking taylor expansion of im in im
11.177 * [backup-simplify]: Simplify 0 into 0
11.177 * [backup-simplify]: Simplify 1 into 1
11.178 * [backup-simplify]: Simplify (* 1 1) into 1
11.178 * [backup-simplify]: Simplify (/ 1 1) into 1
11.179 * [backup-simplify]: Simplify (+ 0 1) into 1
11.179 * [backup-simplify]: Simplify (sqrt 1) into 1
11.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.181 * [backup-simplify]: Simplify (+ 0 0) into 0
11.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.182 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.182 * [taylor]: Taking taylor expansion of re in re
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify 1 into 1
11.182 * [backup-simplify]: Simplify (* 1 1) into 1
11.183 * [backup-simplify]: Simplify (/ 1 1) into 1
11.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.183 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.183 * [taylor]: Taking taylor expansion of im in re
11.183 * [backup-simplify]: Simplify im into im
11.183 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.184 * [backup-simplify]: Simplify (+ 1 0) into 1
11.184 * [backup-simplify]: Simplify (sqrt 1) into 1
11.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.186 * [backup-simplify]: Simplify (+ 0 0) into 0
11.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.187 * [taylor]: Taking taylor expansion of re in re
11.187 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify 1 into 1
11.187 * [backup-simplify]: Simplify (* 1 1) into 1
11.187 * [backup-simplify]: Simplify (/ 1 1) into 1
11.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.188 * [taylor]: Taking taylor expansion of im in re
11.188 * [backup-simplify]: Simplify im into im
11.188 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.188 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.188 * [backup-simplify]: Simplify (+ 1 0) into 1
11.189 * [backup-simplify]: Simplify (sqrt 1) into 1
11.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.190 * [backup-simplify]: Simplify (+ 0 0) into 0
11.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.191 * [taylor]: Taking taylor expansion of 1 in im
11.191 * [backup-simplify]: Simplify 1 into 1
11.191 * [taylor]: Taking taylor expansion of 0 in im
11.191 * [backup-simplify]: Simplify 0 into 0
11.191 * [backup-simplify]: Simplify 1 into 1
11.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.193 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.195 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.195 * [taylor]: Taking taylor expansion of 1/2 in im
11.195 * [backup-simplify]: Simplify 1/2 into 1/2
11.195 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.195 * [taylor]: Taking taylor expansion of im in im
11.195 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify 1 into 1
11.195 * [backup-simplify]: Simplify (* 1 1) into 1
11.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.197 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.198 * [backup-simplify]: Simplify 0 into 0
11.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.200 * [backup-simplify]: Simplify (+ 0 0) into 0
11.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.201 * [taylor]: Taking taylor expansion of 0 in im
11.201 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.204 * * * [progress]: simplifying candidates
11.205 * [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))))
  (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))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
11.207 * * [simplify]: iteration 0: 38 enodes
11.216 * * [simplify]: iteration 1: 91 enodes
11.236 * * [simplify]: iteration 2: 195 enodes
11.319 * * [simplify]: iteration 3: 429 enodes
11.462 * * [simplify]: iteration 4: 992 enodes
12.112 * * [simplify]: iteration 5: 3274 enodes
13.227 * * [simplify]: iteration complete: 5001 enodes
13.227 * * [simplify]: Extracting #0: cost 18 inf + 0
13.227 * * [simplify]: Extracting #1: cost 36 inf + 4
13.228 * * [simplify]: Extracting #2: cost 198 inf + 49
13.232 * * [simplify]: Extracting #3: cost 844 inf + 9394
13.262 * * [simplify]: Extracting #4: cost 709 inf + 109362
13.316 * * [simplify]: Extracting #5: cost 361 inf + 200387
13.380 * * [simplify]: Extracting #6: cost 181 inf + 287241
13.470 * * [simplify]: Extracting #7: cost 70 inf + 354319
13.579 * * [simplify]: Extracting #8: cost 19 inf + 368136
13.647 * * [simplify]: Extracting #9: cost 0 inf + 373703
13.741 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
13.757 * * * [progress]: adding candidates to table
14.338 * [progress]: [Phase 3 of 3] Extracting.
14.338 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
14.341 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
14.341 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
14.441 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
14.496 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
14.577 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
14.667 * * * [regime]: Found split indices: #<option (#s(si 1 96) #s(si 2 125) #s(si 0 148) #s(si 2 152) #s(si 5 209) #s(si 4 255))>
14.667 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
15.078 * [regimes]: Found splitpoints: (#s(sp 1 im -9.439166578523512e-151) #s(sp 2 im -4.032427712052754e-269) #s(sp 0 im 3.87842665094286e-204) #s(sp 2 im 1.7188715849926042e-165) #s(sp 5 im 1.37255374618474e+91) #s(sp 4 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt 0)))> #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 4.0 re))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
15.093 * [simplify]: Simplifying:
  (if (<= im -9.439166578523512e-151) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= im -4.032427712052754e-269) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 3.87842665094286e-204) (* 0.5 (sqrt 0)) (if (<= im 1.7188715849926042e-165) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))) (* 0.5 (sqrt (* 2.0 (+ im re)))))))))
15.093 * * [simplify]: iteration 0: 47 enodes
15.098 * * [simplify]: iteration 1: 59 enodes
15.105 * * [simplify]: iteration complete: 59 enodes
15.105 * * [simplify]: Extracting #0: cost 1 inf + 0
15.106 * * [simplify]: Extracting #1: cost 4 inf + 0
15.106 * * [simplify]: Extracting #2: cost 11 inf + 0
15.106 * * [simplify]: Extracting #3: cost 14 inf + 3
15.106 * * [simplify]: Extracting #4: cost 17 inf + 72
15.106 * * [simplify]: Extracting #5: cost 23 inf + 207
15.106 * * [simplify]: Extracting #6: cost 22 inf + 252
15.106 * * [simplify]: Extracting #7: cost 21 inf + 444
15.107 * * [simplify]: Extracting #8: cost 18 inf + 879
15.107 * * [simplify]: Extracting #9: cost 13 inf + 1974
15.108 * * [simplify]: Extracting #10: cost 11 inf + 2625
15.109 * * [simplify]: Extracting #11: cost 12 inf + 2625
15.109 * * [simplify]: Extracting #12: cost 13 inf + 2625
15.110 * * [simplify]: Extracting #13: cost 12 inf + 2827
15.111 * * [simplify]: Extracting #14: cost 10 inf + 3351
15.112 * * [simplify]: Extracting #15: cost 7 inf + 4438
15.115 * * [simplify]: Extracting #16: cost 3 inf + 7167
15.118 * * [simplify]: Extracting #17: cost 0 inf + 11237
15.122 * [simplify]: Simplified to:
  (if (<= im -9.439166578523512e-151) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= im -4.032427712052754e-269) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 3.87842665094286e-204) 0 (if (<= im 1.7188715849926042e-165) (* 0.5 (sqrt (* 4.0 re))) (if (<= im 1.37255374618474e+91) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (sqrt (+ (* im im) (* re re))))))) re)))) (* (sqrt (* (+ im re) 2.0)) 0.5))))))
18.121 * [regime-testing]: Baseline error score: 38.57180229511743
18.139 * [regime-testing]: Oracle error score: 17.518514293451844
18.168 * [regime-testing]: End program error score: 31.110675614832385
18.327 * [regime-testing]: Target error score: 32.65113667624059