2.605 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.042 * * * [progress]: [2/2] Setting up program.
0.049 * [progress]: [Phase 2 of 3] Improving.
0.049 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.050 * * [simplify]: iteration 0: 12 enodes
0.053 * * [simplify]: iteration 1: 22 enodes
0.059 * * [simplify]: iteration 2: 24 enodes
0.064 * * [simplify]: iteration complete: 24 enodes
0.064 * * [simplify]: Extracting #0: cost 1 inf + 0
0.064 * * [simplify]: Extracting #1: cost 3 inf + 0
0.064 * * [simplify]: Extracting #2: cost 3 inf + 1
0.064 * * [simplify]: Extracting #3: cost 7 inf + 1
0.064 * * [simplify]: Extracting #4: cost 8 inf + 2
0.065 * * [simplify]: Extracting #5: cost 8 inf + 3
0.065 * * [simplify]: Extracting #6: cost 9 inf + 6
0.065 * * [simplify]: Extracting #7: cost 9 inf + 9
0.065 * * [simplify]: Extracting #8: cost 7 inf + 13
0.065 * * [simplify]: Extracting #9: cost 5 inf + 28
0.065 * * [simplify]: Extracting #10: cost 2 inf + 60
0.065 * * [simplify]: Extracting #11: cost 0 inf + 88
0.065 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.071 * * [progress]: iteration 1 / 4
0.072 * * * [progress]: picking best candidate
0.075 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.075 * * * [progress]: localizing error
0.091 * * * [progress]: generating rewritten candidates
0.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.154 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.197 * * * [progress]: generating series expansions
0.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.198 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.198 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.198 * [taylor]: Taking taylor expansion of im in im
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.198 * [taylor]: Taking taylor expansion of re in im
0.198 * [backup-simplify]: Simplify re into re
0.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.198 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.198 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.198 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.199 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.199 * [taylor]: Taking taylor expansion of im in re
0.199 * [backup-simplify]: Simplify im into im
0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.199 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.200 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.200 * [taylor]: Taking taylor expansion of im in re
0.200 * [backup-simplify]: Simplify im into im
0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.200 * [taylor]: Taking taylor expansion of re in re
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.200 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.200 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.200 * [taylor]: Taking taylor expansion of im in im
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify 0 into 0
0.201 * [taylor]: Taking taylor expansion of 0 in im
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.201 * [backup-simplify]: Simplify (* 1 1) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.202 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.202 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.202 * [taylor]: Taking taylor expansion of 1/2 in im
0.202 * [backup-simplify]: Simplify 1/2 into 1/2
0.202 * [taylor]: Taking taylor expansion of im in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.204 * [taylor]: Taking taylor expansion of 0 in im
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.205 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.205 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.205 * [taylor]: Taking taylor expansion of re in im
0.205 * [backup-simplify]: Simplify re into re
0.205 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.206 * [taylor]: Taking taylor expansion of im in im
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (+ 0 1) into 1
0.207 * [backup-simplify]: Simplify (sqrt 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.209 * [taylor]: Taking taylor expansion of im in re
0.209 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.209 * [backup-simplify]: Simplify (+ 1 0) into 1
0.209 * [backup-simplify]: Simplify (sqrt 1) into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.211 * [taylor]: Taking taylor expansion of re in re
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.212 * [backup-simplify]: Simplify (+ 1 0) into 1
0.212 * [backup-simplify]: Simplify (sqrt 1) into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.214 * [taylor]: Taking taylor expansion of 1 in im
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [taylor]: Taking taylor expansion of 0 in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.216 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.216 * [taylor]: Taking taylor expansion of 1/2 in im
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.216 * [taylor]: Taking taylor expansion of im in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in im
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.222 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.222 * [taylor]: Taking taylor expansion of re in im
0.222 * [backup-simplify]: Simplify re into re
0.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.222 * [taylor]: Taking taylor expansion of im in im
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [backup-simplify]: Simplify (+ 0 1) into 1
0.223 * [backup-simplify]: Simplify (sqrt 1) into 1
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.225 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.225 * [taylor]: Taking taylor expansion of re in re
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.225 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.225 * [taylor]: Taking taylor expansion of im in re
0.225 * [backup-simplify]: Simplify im into im
0.225 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.226 * [backup-simplify]: Simplify (+ 1 0) into 1
0.226 * [backup-simplify]: Simplify (sqrt 1) into 1
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.228 * [taylor]: Taking taylor expansion of im in re
0.228 * [backup-simplify]: Simplify im into im
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.229 * [backup-simplify]: Simplify (+ 1 0) into 1
0.229 * [backup-simplify]: Simplify (sqrt 1) into 1
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.230 * [taylor]: Taking taylor expansion of 1 in im
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [taylor]: Taking taylor expansion of 0 in im
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.233 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.233 * [taylor]: Taking taylor expansion of 1/2 in im
0.233 * [backup-simplify]: Simplify 1/2 into 1/2
0.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.233 * [taylor]: Taking taylor expansion of im in im
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.237 * [taylor]: Taking taylor expansion of 0 in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.239 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.239 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.239 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.239 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.239 * [taylor]: Taking taylor expansion of re in im
0.239 * [backup-simplify]: Simplify re into re
0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.239 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.239 * [taylor]: Taking taylor expansion of im in im
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.239 * [taylor]: Taking taylor expansion of re in im
0.239 * [backup-simplify]: Simplify re into re
0.239 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.239 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.239 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.239 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.240 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.240 * [taylor]: Taking taylor expansion of re in re
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.240 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.240 * [taylor]: Taking taylor expansion of im in re
0.240 * [backup-simplify]: Simplify im into im
0.240 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.240 * [taylor]: Taking taylor expansion of re in re
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.240 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.240 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.240 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.241 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.241 * [taylor]: Taking taylor expansion of re in re
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.241 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.241 * [taylor]: Taking taylor expansion of im in re
0.241 * [backup-simplify]: Simplify im into im
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.241 * [taylor]: Taking taylor expansion of re in re
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.241 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.241 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.241 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 im) into im
0.242 * [taylor]: Taking taylor expansion of im in im
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ 1 0) into 1
0.244 * [taylor]: Taking taylor expansion of 1 in im
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (+ 0 1) into 1
0.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.247 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.247 * [taylor]: Taking taylor expansion of 1/2 in im
0.247 * [backup-simplify]: Simplify 1/2 into 1/2
0.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.247 * [taylor]: Taking taylor expansion of im in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [taylor]: Taking taylor expansion of 0 in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.252 * [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)))))
0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.252 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.252 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.258 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.263 * [taylor]: Taking taylor expansion of im in re
0.263 * [backup-simplify]: Simplify im into im
0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [backup-simplify]: Simplify (+ 1 1) into 2
0.268 * [taylor]: Taking taylor expansion of 2 in im
0.268 * [backup-simplify]: Simplify 2 into 2
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 2 into 2
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.271 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.271 * [taylor]: Taking taylor expansion of 1/2 in im
0.271 * [backup-simplify]: Simplify 1/2 into 1/2
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [taylor]: Taking taylor expansion of 0 in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.278 * [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))
0.278 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.278 * [taylor]: Taking taylor expansion of re in im
0.278 * [backup-simplify]: Simplify re into re
0.279 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.279 * [taylor]: Taking taylor expansion of im in im
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ 0 1) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.281 * [taylor]: Taking taylor expansion of re in im
0.281 * [backup-simplify]: Simplify re into re
0.281 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.282 * [taylor]: Taking taylor expansion of im in re
0.282 * [backup-simplify]: Simplify im into im
0.282 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (sqrt 1) into 1
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.284 * [taylor]: Taking taylor expansion of re in re
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.285 * [taylor]: Taking taylor expansion of re in re
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.285 * [taylor]: Taking taylor expansion of im in re
0.285 * [backup-simplify]: Simplify im into im
0.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.286 * [backup-simplify]: Simplify (+ 1 0) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.288 * [taylor]: Taking taylor expansion of re in re
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [backup-simplify]: Simplify (- 1) into -1
0.289 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.289 * [taylor]: Taking taylor expansion of 0 in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (- 0) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (- 0) into 0
0.293 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.293 * [taylor]: Taking taylor expansion of 1/2 in im
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.293 * [taylor]: Taking taylor expansion of im in im
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (- 0) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in im
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.300 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.300 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.300 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.300 * [taylor]: Taking taylor expansion of re in im
0.300 * [backup-simplify]: Simplify re into re
0.300 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in im
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (+ 0 1) into 1
0.302 * [taylor]: Taking taylor expansion of 1 in im
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.306 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.306 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.306 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.306 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.306 * [taylor]: Taking taylor expansion of im in im
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.307 * [taylor]: Taking taylor expansion of re in re
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.307 * [taylor]: Taking taylor expansion of im in re
0.307 * [backup-simplify]: Simplify im into im
0.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.307 * [taylor]: Taking taylor expansion of re in re
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.308 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.308 * [taylor]: Taking taylor expansion of im in re
0.308 * [backup-simplify]: Simplify im into im
0.308 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.308 * [taylor]: Taking taylor expansion of 1 in im
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.312 * [taylor]: Taking taylor expansion of im in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [taylor]: Taking taylor expansion of 0 in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [taylor]: Taking taylor expansion of 0 in im
0.321 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.324 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.324 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.325 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
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
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.326 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.326 * [taylor]: Taking taylor expansion of re in re
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.327 * [taylor]: Taking taylor expansion of re in re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.328 * [taylor]: Taking taylor expansion of im in re
0.328 * [backup-simplify]: Simplify im into im
0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.329 * [backup-simplify]: Simplify (+ 1 0) into 1
0.329 * [taylor]: Taking taylor expansion of 1 in im
0.329 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in im
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.333 * [taylor]: Taking taylor expansion of im in im
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [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 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.346 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.346 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.346 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.346 * [taylor]: Taking taylor expansion of 2.0 in im
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.348 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.348 * [taylor]: Taking taylor expansion of re in im
0.348 * [backup-simplify]: Simplify re into re
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.348 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
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 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.348 * [taylor]: Taking taylor expansion of re in im
0.348 * [backup-simplify]: Simplify re into re
0.348 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.348 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.349 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.349 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.349 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.349 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.350 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.350 * [taylor]: Taking taylor expansion of 2.0 in re
0.350 * [backup-simplify]: Simplify 2.0 into 2.0
0.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.352 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.352 * [taylor]: Taking taylor expansion of re in re
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.352 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.352 * [taylor]: Taking taylor expansion of im in re
0.352 * [backup-simplify]: Simplify im into im
0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.352 * [taylor]: Taking taylor expansion of re in re
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.352 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.352 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 im) into im
0.353 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.354 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.354 * [taylor]: Taking taylor expansion of 2.0 in re
0.354 * [backup-simplify]: Simplify 2.0 into 2.0
0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.355 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.355 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.355 * [taylor]: Taking taylor expansion of re in re
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.355 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.355 * [taylor]: Taking taylor expansion of im in re
0.355 * [backup-simplify]: Simplify im into im
0.355 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.355 * [taylor]: Taking taylor expansion of re in re
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.356 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 im) into im
0.357 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.358 * [taylor]: Taking taylor expansion of 2.0 in im
0.358 * [backup-simplify]: Simplify 2.0 into 2.0
0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.360 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (sqrt 0) into 0
0.362 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.362 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.363 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.363 * [taylor]: Taking taylor expansion of 1/2 in im
0.363 * [backup-simplify]: Simplify 1/2 into 1/2
0.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.363 * [taylor]: Taking taylor expansion of 2.0 in im
0.363 * [backup-simplify]: Simplify 2.0 into 2.0
0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.364 * [taylor]: Taking taylor expansion of im in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (/ 1 1) into 1
0.365 * [backup-simplify]: Simplify (sqrt 0) into 0
0.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.369 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.369 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.377 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.378 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (+ 0 1) into 1
0.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.379 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.380 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.381 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.381 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.381 * [taylor]: Taking taylor expansion of 1/8 in im
0.381 * [backup-simplify]: Simplify 1/8 into 1/8
0.381 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.381 * [taylor]: Taking taylor expansion of 2.0 in im
0.381 * [backup-simplify]: Simplify 2.0 into 2.0
0.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.382 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.382 * [taylor]: Taking taylor expansion of im in im
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [backup-simplify]: Simplify (sqrt 0) into 0
0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.391 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.391 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.398 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.398 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.398 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.398 * [taylor]: Taking taylor expansion of 2.0 in im
0.398 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.399 * [taylor]: Taking taylor expansion of re in im
0.399 * [backup-simplify]: Simplify re into re
0.399 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.399 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.399 * [taylor]: Taking taylor expansion of re in im
0.399 * [backup-simplify]: Simplify re into re
0.399 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.399 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.399 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.399 * [taylor]: Taking taylor expansion of im in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (* 1 1) into 1
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.400 * [backup-simplify]: Simplify (+ 0 1) into 1
0.401 * [backup-simplify]: Simplify (sqrt 1) into 1
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 1) into 1
0.403 * [backup-simplify]: Simplify (sqrt 0) into 0
0.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.403 * [taylor]: Taking taylor expansion of 2.0 in re
0.404 * [backup-simplify]: Simplify 2.0 into 2.0
0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.404 * [taylor]: Taking taylor expansion of re in re
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.405 * [taylor]: Taking taylor expansion of re in re
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.405 * [taylor]: Taking taylor expansion of im in re
0.405 * [backup-simplify]: Simplify im into im
0.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.406 * [backup-simplify]: Simplify (+ 1 0) into 1
0.406 * [backup-simplify]: Simplify (sqrt 1) into 1
0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.409 * [backup-simplify]: Simplify (+ 1 1) into 2
0.410 * [backup-simplify]: Simplify (sqrt 0) into 0
0.411 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.411 * [taylor]: Taking taylor expansion of 2.0 in re
0.411 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.413 * [taylor]: Taking taylor expansion of re in re
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.413 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.413 * [taylor]: Taking taylor expansion of re in re
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (* 1 1) into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.414 * [taylor]: Taking taylor expansion of im in re
0.414 * [backup-simplify]: Simplify im into im
0.414 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.415 * [backup-simplify]: Simplify (+ 1 0) into 1
0.415 * [backup-simplify]: Simplify (sqrt 1) into 1
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.418 * [backup-simplify]: Simplify (+ 1 1) into 2
0.418 * [backup-simplify]: Simplify (sqrt 0) into 0
0.420 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.420 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.420 * [taylor]: Taking taylor expansion of 0 in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.423 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.423 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.423 * [taylor]: Taking taylor expansion of +nan.0 in im
0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.423 * [taylor]: Taking taylor expansion of 2.0 in im
0.423 * [backup-simplify]: Simplify 2.0 into 2.0
0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.433 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.433 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.433 * [taylor]: Taking taylor expansion of +nan.0 in im
0.433 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.433 * [taylor]: Taking taylor expansion of 2.0 in im
0.433 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.436 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.438 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.438 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.443 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.443 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.445 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.448 * [taylor]: Taking taylor expansion of +nan.0 in im
0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.449 * [taylor]: Taking taylor expansion of 2.0 in im
0.449 * [backup-simplify]: Simplify 2.0 into 2.0
0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.450 * [taylor]: Taking taylor expansion of +nan.0 in im
0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.450 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.450 * [taylor]: Taking taylor expansion of 2.0 in im
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.451 * [taylor]: Taking taylor expansion of im in im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.459 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.461 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.462 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.462 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.473 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.473 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.473 * [taylor]: Taking taylor expansion of +nan.0 in im
0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.473 * [taylor]: Taking taylor expansion of 2.0 in im
0.473 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.474 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.474 * [taylor]: Taking taylor expansion of +nan.0 in im
0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.474 * [taylor]: Taking taylor expansion of 2.0 in im
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.476 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.476 * [taylor]: Taking taylor expansion of im in im
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.484 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.486 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.487 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.490 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.491 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.491 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.491 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.491 * [taylor]: Taking taylor expansion of 2.0 in im
0.491 * [backup-simplify]: Simplify 2.0 into 2.0
0.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.493 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.493 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.493 * [taylor]: Taking taylor expansion of re in im
0.493 * [backup-simplify]: Simplify re into re
0.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.495 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.496 * [taylor]: Taking taylor expansion of re in im
0.496 * [backup-simplify]: Simplify re into re
0.496 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.496 * [backup-simplify]: Simplify (+ 1 0) into 1
0.497 * [backup-simplify]: Simplify (sqrt 0) into 0
0.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.498 * [taylor]: Taking taylor expansion of 2.0 in re
0.498 * [backup-simplify]: Simplify 2.0 into 2.0
0.498 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.498 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.498 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.498 * [taylor]: Taking taylor expansion of re in re
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.499 * [taylor]: Taking taylor expansion of im in re
0.499 * [backup-simplify]: Simplify im into im
0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.500 * [backup-simplify]: Simplify (+ 1 0) into 1
0.500 * [backup-simplify]: Simplify (sqrt 1) into 1
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.501 * [taylor]: Taking taylor expansion of re in re
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.502 * [backup-simplify]: Simplify (- 1) into -1
0.502 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (- 0) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.505 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.506 * [backup-simplify]: Simplify (sqrt 0) into 0
0.507 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.507 * [taylor]: Taking taylor expansion of 2.0 in re
0.507 * [backup-simplify]: Simplify 2.0 into 2.0
0.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.508 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.508 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.508 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.508 * [taylor]: Taking taylor expansion of im in re
0.508 * [backup-simplify]: Simplify im into im
0.508 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.508 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.509 * [backup-simplify]: Simplify (+ 1 0) into 1
0.509 * [backup-simplify]: Simplify (sqrt 1) into 1
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.510 * [taylor]: Taking taylor expansion of re in re
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [backup-simplify]: Simplify (- 1) into -1
0.511 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.517 * [backup-simplify]: Simplify (sqrt 0) into 0
0.518 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.518 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in im
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.519 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.519 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.519 * [taylor]: Taking taylor expansion of +nan.0 in im
0.519 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.519 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.519 * [taylor]: Taking taylor expansion of 2.0 in im
0.520 * [backup-simplify]: Simplify 2.0 into 2.0
0.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.521 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.521 * [taylor]: Taking taylor expansion of im in im
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.534 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.534 * [taylor]: Taking taylor expansion of +nan.0 in im
0.534 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.534 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.534 * [taylor]: Taking taylor expansion of 2.0 in im
0.534 * [backup-simplify]: Simplify 2.0 into 2.0
0.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.535 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.535 * [taylor]: Taking taylor expansion of im in im
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.537 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.552 * [backup-simplify]: Simplify (- 0) into 0
0.552 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.560 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.562 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.564 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.564 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.565 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.566 * [taylor]: Taking taylor expansion of +nan.0 in im
0.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.566 * [taylor]: Taking taylor expansion of 2.0 in im
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.567 * [taylor]: Taking taylor expansion of im in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * * * [progress]: simplifying candidates
0.595 * [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))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
0.597 * * [simplify]: iteration 0: 108 enodes
0.638 * * [simplify]: iteration 1: 291 enodes
0.816 * * [simplify]: iteration 2: 1381 enodes
1.292 * * [simplify]: iteration complete: 5001 enodes
1.292 * * [simplify]: Extracting #0: cost 55 inf + 0
1.293 * * [simplify]: Extracting #1: cost 403 inf + 7
1.301 * * [simplify]: Extracting #2: cost 1666 inf + 267
1.313 * * [simplify]: Extracting #3: cost 1544 inf + 6027
1.328 * * [simplify]: Extracting #4: cost 273 inf + 19048
1.344 * * [simplify]: Extracting #5: cost 56 inf + 21431
1.359 * * [simplify]: Extracting #6: cost 8 inf + 21723
1.377 * * [simplify]: Extracting #7: cost 0 inf + 21779
1.391 * [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))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (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 (+ (pow re 6) (pow im 6)))
  (sqrt (+ (- (pow im 4) (* (* (* im im) re) re)) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re 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))
  (pow (+ (sqrt (+ (* im im) (* re re))) re) 3)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))
  (+ (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (* re re)) (* im im))
  (+ (* im im) 0)
  (- (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)))
  (pow (+ (* im im) (* re re)) 3)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (pow re 6) (pow im 6))
  (+ (- (pow im 4) (* (* (* im im) re) re)) (pow re 4))
  (- (pow re 4) (pow im 4))
  (* (+ re im) (- re im))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))))
  (sqrt (+ (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (* re re)) (* im im)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (- (* +nan.0 (* (* re re) (sqrt 2.0)))) (* (* +nan.0 (sqrt 2.0)) (- im re)))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* +nan.0 (sqrt 2.0))))
  0
1.391 * * * [progress]: adding candidates to table
1.737 * * [progress]: iteration 2 / 4
1.737 * * * [progress]: picking best candidate
1.791 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>
1.791 * * * [progress]: localizing error
1.833 * * * [progress]: generating rewritten candidates
1.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.840 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
1.850 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
1.859 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
1.940 * * * [progress]: generating series expansions
1.940 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.940 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.941 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.941 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.941 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.941 * [taylor]: Taking taylor expansion of im in re
1.941 * [backup-simplify]: Simplify im into im
1.941 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.941 * [taylor]: Taking taylor expansion of re in re
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.941 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.941 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.943 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.943 * [taylor]: Taking taylor expansion of im in im
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.943 * [taylor]: Taking taylor expansion of re in im
1.943 * [backup-simplify]: Simplify re into re
1.943 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.943 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.943 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.943 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.944 * [backup-simplify]: Simplify (+ 0 0) into 0
1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.944 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.944 * [taylor]: Taking taylor expansion of im in im
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.944 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.944 * [taylor]: Taking taylor expansion of re in im
1.944 * [backup-simplify]: Simplify re into re
1.945 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.945 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.945 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.945 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.946 * [taylor]: Taking taylor expansion of re in re
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [taylor]: Taking taylor expansion of 0 in re
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (* 1 1) into 1
1.947 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.947 * [backup-simplify]: Simplify (+ 1 0) into 1
1.948 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.948 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.948 * [taylor]: Taking taylor expansion of 1/2 in re
1.948 * [backup-simplify]: Simplify 1/2 into 1/2
1.948 * [taylor]: Taking taylor expansion of re in re
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.950 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.951 * [taylor]: Taking taylor expansion of 0 in re
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.952 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.952 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.952 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.952 * [taylor]: Taking taylor expansion of re in re
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (* 1 1) into 1
1.952 * [backup-simplify]: Simplify (/ 1 1) into 1
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.952 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.952 * [taylor]: Taking taylor expansion of im in re
1.952 * [backup-simplify]: Simplify im into im
1.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.953 * [backup-simplify]: Simplify (+ 1 0) into 1
1.953 * [backup-simplify]: Simplify (sqrt 1) into 1
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.955 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.955 * [taylor]: Taking taylor expansion of re in im
1.955 * [backup-simplify]: Simplify re into re
1.955 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.955 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.955 * [taylor]: Taking taylor expansion of im in im
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.955 * [backup-simplify]: Simplify (/ 1 1) into 1
1.956 * [backup-simplify]: Simplify (+ 0 1) into 1
1.956 * [backup-simplify]: Simplify (sqrt 1) into 1
1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.957 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.957 * [taylor]: Taking taylor expansion of re in im
1.957 * [backup-simplify]: Simplify re into re
1.958 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.958 * [taylor]: Taking taylor expansion of im in im
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (* 1 1) into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.958 * [backup-simplify]: Simplify (+ 0 1) into 1
1.959 * [backup-simplify]: Simplify (sqrt 1) into 1
1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.960 * [taylor]: Taking taylor expansion of 1 in re
1.960 * [backup-simplify]: Simplify 1 into 1
1.960 * [taylor]: Taking taylor expansion of 0 in re
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 1 into 1
1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.962 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.962 * [taylor]: Taking taylor expansion of 1/2 in re
1.962 * [backup-simplify]: Simplify 1/2 into 1/2
1.962 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.962 * [taylor]: Taking taylor expansion of re in re
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.966 * [taylor]: Taking taylor expansion of 0 in re
1.966 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
1.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.968 * [taylor]: Taking taylor expansion of re in re
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 1 into 1
1.968 * [backup-simplify]: Simplify (* 1 1) into 1
1.968 * [backup-simplify]: Simplify (/ 1 1) into 1
1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.968 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.968 * [taylor]: Taking taylor expansion of im in re
1.968 * [backup-simplify]: Simplify im into im
1.968 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.969 * [backup-simplify]: Simplify (+ 1 0) into 1
1.969 * [backup-simplify]: Simplify (sqrt 1) into 1
1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.970 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.970 * [taylor]: Taking taylor expansion of re in im
1.970 * [backup-simplify]: Simplify re into re
1.970 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.971 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.971 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.971 * [taylor]: Taking taylor expansion of im in im
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (* 1 1) into 1
1.971 * [backup-simplify]: Simplify (/ 1 1) into 1
1.971 * [backup-simplify]: Simplify (+ 0 1) into 1
1.972 * [backup-simplify]: Simplify (sqrt 1) into 1
1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.973 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.973 * [taylor]: Taking taylor expansion of re in im
1.973 * [backup-simplify]: Simplify re into re
1.973 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.973 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.973 * [taylor]: Taking taylor expansion of im in im
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (* 1 1) into 1
1.974 * [backup-simplify]: Simplify (/ 1 1) into 1
1.974 * [backup-simplify]: Simplify (+ 0 1) into 1
1.974 * [backup-simplify]: Simplify (sqrt 1) into 1
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.976 * [taylor]: Taking taylor expansion of 1 in re
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [taylor]: Taking taylor expansion of 0 in re
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.977 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.979 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.979 * [taylor]: Taking taylor expansion of 1/2 in re
1.979 * [backup-simplify]: Simplify 1/2 into 1/2
1.979 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.979 * [taylor]: Taking taylor expansion of re in re
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (* 1 1) into 1
1.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.984 * [backup-simplify]: Simplify (+ 0 0) into 0
1.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.985 * [taylor]: Taking taylor expansion of 0 in re
1.985 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
1.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
1.988 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.988 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.988 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.988 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.988 * [taylor]: Taking taylor expansion of im in re
1.988 * [backup-simplify]: Simplify im into im
1.988 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.988 * [taylor]: Taking taylor expansion of re in re
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.988 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.989 * [backup-simplify]: Simplify (+ 0 0) into 0
1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.989 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.989 * [taylor]: Taking taylor expansion of im in im
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.989 * [taylor]: Taking taylor expansion of re in im
1.989 * [backup-simplify]: Simplify re into re
1.989 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.990 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.990 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.990 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.990 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.990 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.990 * [taylor]: Taking taylor expansion of im in im
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.991 * [taylor]: Taking taylor expansion of re in im
1.991 * [backup-simplify]: Simplify re into re
1.991 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.991 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.991 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.991 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.992 * [taylor]: Taking taylor expansion of re in re
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [taylor]: Taking taylor expansion of 0 in re
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.993 * [backup-simplify]: Simplify (+ 1 0) into 1
1.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.994 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.994 * [taylor]: Taking taylor expansion of 1/2 in re
1.994 * [backup-simplify]: Simplify 1/2 into 1/2
1.994 * [taylor]: Taking taylor expansion of re in re
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.997 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.998 * [taylor]: Taking taylor expansion of 0 in re
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.999 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.999 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.999 * [taylor]: Taking taylor expansion of re in re
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (* 1 1) into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.000 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.000 * [taylor]: Taking taylor expansion of im in re
2.000 * [backup-simplify]: Simplify im into im
2.000 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.001 * [backup-simplify]: Simplify (+ 1 0) into 1
2.001 * [backup-simplify]: Simplify (sqrt 1) into 1
2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.004 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.004 * [taylor]: Taking taylor expansion of re in im
2.004 * [backup-simplify]: Simplify re into re
2.004 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.004 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.004 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.004 * [taylor]: Taking taylor expansion of im in im
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (* 1 1) into 1
2.005 * [backup-simplify]: Simplify (/ 1 1) into 1
2.006 * [backup-simplify]: Simplify (+ 0 1) into 1
2.006 * [backup-simplify]: Simplify (sqrt 1) into 1
2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.009 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.009 * [taylor]: Taking taylor expansion of re in im
2.009 * [backup-simplify]: Simplify re into re
2.009 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.009 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.009 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.009 * [taylor]: Taking taylor expansion of im in im
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (* 1 1) into 1
2.010 * [backup-simplify]: Simplify (/ 1 1) into 1
2.010 * [backup-simplify]: Simplify (+ 0 1) into 1
2.011 * [backup-simplify]: Simplify (sqrt 1) into 1
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.013 * [taylor]: Taking taylor expansion of 1 in re
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [taylor]: Taking taylor expansion of 0 in re
2.013 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.016 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.017 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.017 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.017 * [taylor]: Taking taylor expansion of 1/2 in re
2.017 * [backup-simplify]: Simplify 1/2 into 1/2
2.017 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.017 * [taylor]: Taking taylor expansion of re in re
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify 1 into 1
2.018 * [backup-simplify]: Simplify (* 1 1) into 1
2.018 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 0) into 0
2.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.023 * [taylor]: Taking taylor expansion of 0 in re
2.023 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
2.026 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.026 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.026 * [taylor]: Taking taylor expansion of re in re
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.026 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.026 * [taylor]: Taking taylor expansion of im in re
2.026 * [backup-simplify]: Simplify im into im
2.026 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.027 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.027 * [backup-simplify]: Simplify (+ 1 0) into 1
2.027 * [backup-simplify]: Simplify (sqrt 1) into 1
2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.029 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.029 * [taylor]: Taking taylor expansion of re in im
2.029 * [backup-simplify]: Simplify re into re
2.029 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.029 * [taylor]: Taking taylor expansion of im in im
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify (* 1 1) into 1
2.029 * [backup-simplify]: Simplify (/ 1 1) into 1
2.030 * [backup-simplify]: Simplify (+ 0 1) into 1
2.030 * [backup-simplify]: Simplify (sqrt 1) into 1
2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.031 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.031 * [taylor]: Taking taylor expansion of re in im
2.031 * [backup-simplify]: Simplify re into re
2.031 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.031 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.032 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.032 * [taylor]: Taking taylor expansion of im in im
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [backup-simplify]: Simplify (* 1 1) into 1
2.032 * [backup-simplify]: Simplify (/ 1 1) into 1
2.032 * [backup-simplify]: Simplify (+ 0 1) into 1
2.033 * [backup-simplify]: Simplify (sqrt 1) into 1
2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.034 * [taylor]: Taking taylor expansion of 1 in re
2.034 * [backup-simplify]: Simplify 1 into 1
2.034 * [taylor]: Taking taylor expansion of 0 in re
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.036 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.036 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.036 * [taylor]: Taking taylor expansion of 1/2 in re
2.036 * [backup-simplify]: Simplify 1/2 into 1/2
2.036 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.036 * [taylor]: Taking taylor expansion of re in re
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.040 * [taylor]: Taking taylor expansion of 0 in re
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
2.044 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.044 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
2.044 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.044 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.044 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.045 * [taylor]: Taking taylor expansion of im in re
2.045 * [backup-simplify]: Simplify im into im
2.045 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.045 * [taylor]: Taking taylor expansion of re in re
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.045 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.045 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.045 * [taylor]: Taking taylor expansion of im in im
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.046 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.046 * [taylor]: Taking taylor expansion of re in im
2.046 * [backup-simplify]: Simplify re into re
2.046 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.046 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.046 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.046 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.046 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.046 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.046 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.046 * [taylor]: Taking taylor expansion of im in im
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.046 * [taylor]: Taking taylor expansion of re in im
2.046 * [backup-simplify]: Simplify re into re
2.046 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.046 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.047 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.047 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.047 * [backup-simplify]: Simplify (+ 0 0) into 0
2.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.047 * [taylor]: Taking taylor expansion of re in re
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [taylor]: Taking taylor expansion of 0 in re
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify (* 1 1) into 1
2.048 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.048 * [backup-simplify]: Simplify (+ 1 0) into 1
2.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.048 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
2.048 * [taylor]: Taking taylor expansion of 1/2 in re
2.048 * [backup-simplify]: Simplify 1/2 into 1/2
2.048 * [taylor]: Taking taylor expansion of re in re
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 1 into 1
2.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.050 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.050 * [backup-simplify]: Simplify (+ 0 0) into 0
2.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.051 * [taylor]: Taking taylor expansion of 0 in re
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
2.052 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.052 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.052 * [taylor]: Taking taylor expansion of re in re
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (* 1 1) into 1
2.052 * [backup-simplify]: Simplify (/ 1 1) into 1
2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.052 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.052 * [taylor]: Taking taylor expansion of im in re
2.052 * [backup-simplify]: Simplify im into im
2.052 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.053 * [backup-simplify]: Simplify (+ 1 0) into 1
2.053 * [backup-simplify]: Simplify (sqrt 1) into 1
2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.054 * [backup-simplify]: Simplify (+ 0 0) into 0
2.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.054 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.054 * [taylor]: Taking taylor expansion of re in im
2.054 * [backup-simplify]: Simplify re into re
2.054 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.055 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.055 * [taylor]: Taking taylor expansion of im in im
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.055 * [backup-simplify]: Simplify (* 1 1) into 1
2.055 * [backup-simplify]: Simplify (/ 1 1) into 1
2.055 * [backup-simplify]: Simplify (+ 0 1) into 1
2.056 * [backup-simplify]: Simplify (sqrt 1) into 1
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify (+ 0 0) into 0
2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.057 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.057 * [taylor]: Taking taylor expansion of re in im
2.057 * [backup-simplify]: Simplify re into re
2.057 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.058 * [taylor]: Taking taylor expansion of im in im
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 1 into 1
2.058 * [backup-simplify]: Simplify (* 1 1) into 1
2.058 * [backup-simplify]: Simplify (/ 1 1) into 1
2.059 * [backup-simplify]: Simplify (+ 0 1) into 1
2.059 * [backup-simplify]: Simplify (sqrt 1) into 1
2.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.062 * [taylor]: Taking taylor expansion of 1 in re
2.062 * [backup-simplify]: Simplify 1 into 1
2.062 * [taylor]: Taking taylor expansion of 0 in re
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.065 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.065 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.065 * [taylor]: Taking taylor expansion of 1/2 in re
2.065 * [backup-simplify]: Simplify 1/2 into 1/2
2.065 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.065 * [taylor]: Taking taylor expansion of re in re
2.065 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify 1 into 1
2.066 * [backup-simplify]: Simplify (* 1 1) into 1
2.066 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (+ 0 0) into 0
2.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.071 * [taylor]: Taking taylor expansion of 0 in re
2.071 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
2.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.074 * [taylor]: Taking taylor expansion of re in re
2.074 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify 1 into 1
2.074 * [backup-simplify]: Simplify (* 1 1) into 1
2.075 * [backup-simplify]: Simplify (/ 1 1) into 1
2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.075 * [taylor]: Taking taylor expansion of im in re
2.075 * [backup-simplify]: Simplify im into im
2.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.076 * [backup-simplify]: Simplify (+ 1 0) into 1
2.076 * [backup-simplify]: Simplify (sqrt 1) into 1
2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.079 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.079 * [taylor]: Taking taylor expansion of re in im
2.079 * [backup-simplify]: Simplify re into re
2.079 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.079 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.079 * [taylor]: Taking taylor expansion of im in im
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 1 into 1
2.080 * [backup-simplify]: Simplify (* 1 1) into 1
2.080 * [backup-simplify]: Simplify (/ 1 1) into 1
2.081 * [backup-simplify]: Simplify (+ 0 1) into 1
2.081 * [backup-simplify]: Simplify (sqrt 1) into 1
2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.083 * [backup-simplify]: Simplify (+ 0 0) into 0
2.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.084 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.084 * [taylor]: Taking taylor expansion of re in im
2.084 * [backup-simplify]: Simplify re into re
2.084 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.084 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.084 * [taylor]: Taking taylor expansion of im in im
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 1 into 1
2.084 * [backup-simplify]: Simplify (* 1 1) into 1
2.085 * [backup-simplify]: Simplify (/ 1 1) into 1
2.085 * [backup-simplify]: Simplify (+ 0 1) into 1
2.086 * [backup-simplify]: Simplify (sqrt 1) into 1
2.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.087 * [backup-simplify]: Simplify (+ 0 0) into 0
2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.089 * [taylor]: Taking taylor expansion of 1 in re
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [taylor]: Taking taylor expansion of 0 in re
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 1 into 1
2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.092 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.092 * [taylor]: Taking taylor expansion of 1/2 in re
2.092 * [backup-simplify]: Simplify 1/2 into 1/2
2.092 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.092 * [taylor]: Taking taylor expansion of re in re
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (* 1 1) into 1
2.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.098 * [backup-simplify]: Simplify (+ 0 0) into 0
2.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.098 * [taylor]: Taking taylor expansion of 0 in re
2.098 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
2.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
2.102 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.102 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0
2.102 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.102 * [taylor]: Taking taylor expansion of re in re
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.102 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.102 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.102 * [taylor]: Taking taylor expansion of im in re
2.102 * [backup-simplify]: Simplify im into im
2.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.102 * [taylor]: Taking taylor expansion of re in re
2.102 * [backup-simplify]: Simplify 0 into 0
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.102 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.103 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.103 * [taylor]: Taking taylor expansion of re in im
2.103 * [backup-simplify]: Simplify re into re
2.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.103 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.103 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.103 * [taylor]: Taking taylor expansion of im in im
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 1 into 1
2.103 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.103 * [taylor]: Taking taylor expansion of re in im
2.104 * [backup-simplify]: Simplify re into re
2.104 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.104 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.104 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.104 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.105 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.105 * [taylor]: Taking taylor expansion of re in im
2.105 * [backup-simplify]: Simplify re into re
2.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.105 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.105 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.105 * [taylor]: Taking taylor expansion of im in im
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.105 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.105 * [taylor]: Taking taylor expansion of re in im
2.105 * [backup-simplify]: Simplify re into re
2.105 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.105 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.105 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.105 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.106 * [backup-simplify]: Simplify (+ 0 0) into 0
2.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.106 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.106 * [taylor]: Taking taylor expansion of (* 2 re) in re
2.106 * [taylor]: Taking taylor expansion of 2 in re
2.106 * [backup-simplify]: Simplify 2 into 2
2.106 * [taylor]: Taking taylor expansion of re in re
2.106 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify 1 into 1
2.107 * [backup-simplify]: Simplify (* 2 0) into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify (+ 0 0) into 0
2.107 * [taylor]: Taking taylor expansion of 0 in re
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.108 * [backup-simplify]: Simplify 2 into 2
2.109 * [backup-simplify]: Simplify (* 1 1) into 1
2.109 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.109 * [backup-simplify]: Simplify (+ 1 0) into 1
2.110 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.110 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
2.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
2.110 * [taylor]: Taking taylor expansion of 1/2 in re
2.110 * [backup-simplify]: Simplify 1/2 into 1/2
2.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.110 * [taylor]: Taking taylor expansion of re in re
2.110 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify 1 into 1
2.111 * [backup-simplify]: Simplify (/ 1 1) into 1
2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.115 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.115 * [backup-simplify]: Simplify (+ 0 0) into 0
2.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.116 * [backup-simplify]: Simplify (+ 0 0) into 0
2.116 * [taylor]: Taking taylor expansion of 0 in re
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
2.120 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.120 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.120 * [taylor]: Taking taylor expansion of re in re
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 1 into 1
2.120 * [backup-simplify]: Simplify (/ 1 1) into 1
2.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.120 * [taylor]: Taking taylor expansion of re in re
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 1 into 1
2.121 * [backup-simplify]: Simplify (* 1 1) into 1
2.121 * [backup-simplify]: Simplify (/ 1 1) into 1
2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.121 * [taylor]: Taking taylor expansion of im in re
2.121 * [backup-simplify]: Simplify im into im
2.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.122 * [backup-simplify]: Simplify (+ 1 0) into 1
2.122 * [backup-simplify]: Simplify (sqrt 1) into 1
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify (+ 0 0) into 0
2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.125 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.125 * [taylor]: Taking taylor expansion of re in im
2.125 * [backup-simplify]: Simplify re into re
2.125 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.125 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.125 * [taylor]: Taking taylor expansion of re in im
2.125 * [backup-simplify]: Simplify re into re
2.125 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.126 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.126 * [taylor]: Taking taylor expansion of im in im
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ 1 1) into 1
2.127 * [backup-simplify]: Simplify (+ 0 1) into 1
2.127 * [backup-simplify]: Simplify (sqrt 1) into 1
2.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.129 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.130 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.130 * [taylor]: Taking taylor expansion of re in im
2.130 * [backup-simplify]: Simplify re into re
2.130 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.130 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.130 * [taylor]: Taking taylor expansion of re in im
2.130 * [backup-simplify]: Simplify re into re
2.130 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.130 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.131 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.131 * [taylor]: Taking taylor expansion of im in im
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (* 1 1) into 1
2.131 * [backup-simplify]: Simplify (/ 1 1) into 1
2.132 * [backup-simplify]: Simplify (+ 0 1) into 1
2.132 * [backup-simplify]: Simplify (sqrt 1) into 1
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 0) into 0
2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 1) into 1
2.134 * [taylor]: Taking taylor expansion of 1 in re
2.134 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
2.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.135 * [taylor]: Taking taylor expansion of re in re
2.135 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (/ 1 1) into 1
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.137 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.137 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
2.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
2.137 * [taylor]: Taking taylor expansion of 1/2 in re
2.137 * [backup-simplify]: Simplify 1/2 into 1/2
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.137 * [taylor]: Taking taylor expansion of re in re
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (* 1 1) into 1
2.138 * [backup-simplify]: Simplify (/ 1 1) into 1
2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.140 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.141 * [backup-simplify]: Simplify (+ 0 0) into 0
2.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.142 * [backup-simplify]: Simplify (+ 0 0) into 0
2.142 * [taylor]: Taking taylor expansion of 0 in re
2.142 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
2.145 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re)))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
2.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.145 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.145 * [taylor]: Taking taylor expansion of re in re
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (* 1 1) into 1
2.146 * [backup-simplify]: Simplify (/ 1 1) into 1
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.146 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.146 * [taylor]: Taking taylor expansion of im in re
2.146 * [backup-simplify]: Simplify im into im
2.146 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.146 * [backup-simplify]: Simplify (+ 1 0) into 1
2.147 * [backup-simplify]: Simplify (sqrt 1) into 1
2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.148 * [taylor]: Taking taylor expansion of re in re
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.149 * [backup-simplify]: Simplify (/ 1 1) into 1
2.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.149 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.149 * [taylor]: Taking taylor expansion of re in im
2.149 * [backup-simplify]: Simplify re into re
2.149 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.149 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.149 * [taylor]: Taking taylor expansion of im in im
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 1 into 1
2.149 * [backup-simplify]: Simplify (* 1 1) into 1
2.149 * [backup-simplify]: Simplify (/ 1 1) into 1
2.150 * [backup-simplify]: Simplify (+ 0 1) into 1
2.150 * [backup-simplify]: Simplify (sqrt 1) into 1
2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.151 * [taylor]: Taking taylor expansion of re in im
2.152 * [backup-simplify]: Simplify re into re
2.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.152 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.152 * [taylor]: Taking taylor expansion of re in im
2.152 * [backup-simplify]: Simplify re into re
2.152 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.152 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.152 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.152 * [taylor]: Taking taylor expansion of im in im
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (* 1 1) into 1
2.152 * [backup-simplify]: Simplify (/ 1 1) into 1
2.153 * [backup-simplify]: Simplify (+ 0 1) into 1
2.153 * [backup-simplify]: Simplify (sqrt 1) into 1
2.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 0) into 0
2.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.154 * [taylor]: Taking taylor expansion of re in im
2.154 * [backup-simplify]: Simplify re into re
2.154 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.155 * [backup-simplify]: Simplify (+ 1 0) into 1
2.155 * [taylor]: Taking taylor expansion of 1 in re
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
2.155 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
2.155 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
2.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.155 * [taylor]: Taking taylor expansion of re in re
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (/ 1 1) into 1
2.155 * [backup-simplify]: Simplify (- 1) into -1
2.156 * [backup-simplify]: Simplify -1 into -1
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.157 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.158 * [backup-simplify]: Simplify (- 0) into 0
2.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
2.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
2.158 * [taylor]: Taking taylor expansion of 1/2 in re
2.158 * [backup-simplify]: Simplify 1/2 into 1/2
2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.158 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.158 * [taylor]: Taking taylor expansion of re in re
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 1 into 1
2.159 * [backup-simplify]: Simplify (* 1 1) into 1
2.159 * [backup-simplify]: Simplify (/ 1 1) into 1
2.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.160 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.161 * [backup-simplify]: Simplify (- 0) into 0
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.163 * [backup-simplify]: Simplify (- 0) into 0
2.163 * [backup-simplify]: Simplify (+ 0 0) into 0
2.163 * [taylor]: Taking taylor expansion of 0 in re
2.163 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.165 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.171 * [backup-simplify]: Simplify (- 0) into 0
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im)
2.171 * * * [progress]: simplifying candidates
2.173 * [simplify]: Simplifying:
  (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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (exp (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (exp re))
  (log (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (exp (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (* (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))
  (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (* (* (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (+ (pow (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))
  (- (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (* re re))
  (- (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  (* 2 re)
  (+ re im)
  (- re im)
2.175 * * [simplify]: iteration 0: 62 enodes
2.197 * * [simplify]: iteration 1: 164 enodes
2.240 * * [simplify]: iteration 2: 453 enodes
2.491 * * [simplify]: iteration 3: 1790 enodes
3.035 * * [simplify]: iteration complete: 5000 enodes
3.035 * * [simplify]: Extracting #0: cost 31 inf + 0
3.036 * * [simplify]: Extracting #1: cost 199 inf + 6
3.038 * * [simplify]: Extracting #2: cost 967 inf + 49
3.042 * * [simplify]: Extracting #3: cost 1664 inf + 541
3.054 * * [simplify]: Extracting #4: cost 1237 inf + 8514
3.060 * * [simplify]: Extracting #5: cost 395 inf + 25109
3.067 * * [simplify]: Extracting #6: cost 59 inf + 31819
3.079 * * [simplify]: Extracting #7: cost 10 inf + 32303
3.090 * * [simplify]: Extracting #8: cost 0 inf + 32373
3.102 * [simplify]: Simplified to:
  (log (sqrt (+ (pow re 2) (* im im))))
  (exp (sqrt (+ (pow re 2) (* im im))))
  (cbrt (+ (pow re 2) (* im im)))
  (cbrt (sqrt (+ (pow re 2) (* im im))))
  (pow (sqrt (+ (pow re 2) (* im im))) 3)
  (fabs (cbrt (+ (pow re 2) (* im im))))
  (sqrt (cbrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  1
  (sqrt (+ (pow re 2) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (- im re) (+ im re)))
  1/2
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (log (sqrt (+ (pow re 2) (* im im))))
  (exp (sqrt (+ (pow re 2) (* im im))))
  (cbrt (+ (pow re 2) (* im im)))
  (cbrt (sqrt (+ (pow re 2) (* im im))))
  (pow (sqrt (+ (pow re 2) (* im im))) 3)
  (fabs (cbrt (+ (pow re 2) (* im im))))
  (sqrt (cbrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  1
  (sqrt (+ (pow re 2) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (- im re) (+ im re)))
  1/2
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (log (sqrt (+ (pow re 2) (* im im))))
  (exp (sqrt (+ (pow re 2) (* im im))))
  (cbrt (+ (pow re 2) (* im im)))
  (cbrt (sqrt (+ (pow re 2) (* im im))))
  (pow (sqrt (+ (pow re 2) (* im im))) 3)
  (fabs (cbrt (+ (pow re 2) (* im im))))
  (sqrt (cbrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  1
  (sqrt (+ (pow re 2) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (- im re) (+ im re)))
  1/2
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (exp (+ re (sqrt (+ (pow re 2) (* im im)))))
  (log (+ re (sqrt (+ (pow re 2) (* im im)))))
  (exp (+ re (sqrt (+ (pow re 2) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (pow re 2) (* im im))))) (cbrt (+ re (sqrt (+ (pow re 2) (* im im))))))
  (cbrt (+ re (sqrt (+ (pow re 2) (* im im)))))
  (pow (+ re (sqrt (+ (pow re 2) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (pow re 2) (* im im)))))
  (sqrt (+ re (sqrt (+ (pow re 2) (* im im)))))
  (+ (pow (sqrt (+ (pow re 2) (* im im))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (pow re 2) (* im im)))) re)) (* im im))
  (+ (* im im) 0)
  (- (sqrt (+ (pow re 2) (* im im))) re)
  re
  im
  (- im)
  re
  im
  (- im)
  re
  im
  (- im)
  (* 2 re)
  (+ im re)
  (- re im)
3.103 * * * [progress]: adding candidates to table
3.640 * * [progress]: iteration 3 / 4
3.640 * * * [progress]: picking best candidate
3.687 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>
3.687 * * * [progress]: localizing error
3.740 * * * [progress]: generating rewritten candidates
3.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
3.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
3.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1)
3.771 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
3.896 * * * [progress]: generating series expansions
3.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
3.897 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
3.897 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
3.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.897 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.897 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.897 * [taylor]: Taking taylor expansion of im in re
3.897 * [backup-simplify]: Simplify im into im
3.897 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.897 * [taylor]: Taking taylor expansion of re in re
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.897 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.898 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 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 im
3.900 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.900 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.900 * [taylor]: Taking taylor expansion of im in im
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.900 * [taylor]: Taking taylor expansion of re in im
3.900 * [backup-simplify]: Simplify re into re
3.900 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.900 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.901 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.901 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.901 * [backup-simplify]: Simplify (+ 0 0) into 0
3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
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 0 into 0
3.902 * [taylor]: Taking taylor expansion of 0 in re
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 (* 1 1) into 1
3.902 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.903 * [backup-simplify]: Simplify (+ 1 0) into 1
3.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.904 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.904 * [taylor]: Taking taylor expansion of 1/2 in re
3.904 * [backup-simplify]: Simplify 1/2 into 1/2
3.904 * [taylor]: Taking taylor expansion of re in re
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 1 into 1
3.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.906 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.906 * [backup-simplify]: Simplify (+ 0 0) into 0
3.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.907 * [taylor]: Taking taylor expansion of 0 in re
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
3.907 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.908 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.908 * [taylor]: Taking taylor expansion of re in re
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 1 into 1
3.908 * [backup-simplify]: Simplify (* 1 1) into 1
3.908 * [backup-simplify]: Simplify (/ 1 1) into 1
3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.908 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.908 * [taylor]: Taking taylor expansion of im in re
3.908 * [backup-simplify]: Simplify im into im
3.908 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.909 * [backup-simplify]: Simplify (+ 1 0) into 1
3.909 * [backup-simplify]: Simplify (sqrt 1) into 1
3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.910 * [backup-simplify]: Simplify (+ 0 0) into 0
3.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.910 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.910 * [taylor]: Taking taylor expansion of re in im
3.910 * [backup-simplify]: Simplify re into re
3.910 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.911 * [taylor]: Taking taylor expansion of im in im
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (/ 1 1) into 1
3.911 * [backup-simplify]: Simplify (+ 0 1) into 1
3.912 * [backup-simplify]: Simplify (sqrt 1) into 1
3.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.913 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.913 * [taylor]: Taking taylor expansion of re in im
3.913 * [backup-simplify]: Simplify re into re
3.913 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.913 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.913 * [taylor]: Taking taylor expansion of im in im
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify (* 1 1) into 1
3.914 * [backup-simplify]: Simplify (/ 1 1) into 1
3.914 * [backup-simplify]: Simplify (+ 0 1) into 1
3.915 * [backup-simplify]: Simplify (sqrt 1) into 1
3.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.916 * [backup-simplify]: Simplify (+ 0 0) into 0
3.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.916 * [taylor]: Taking taylor expansion of 1 in re
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of 0 in re
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.918 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.918 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.918 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.918 * [taylor]: Taking taylor expansion of 1/2 in re
3.918 * [backup-simplify]: Simplify 1/2 into 1/2
3.918 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.918 * [taylor]: Taking taylor expansion of re in re
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.919 * [backup-simplify]: Simplify (* 1 1) into 1
3.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.922 * [taylor]: Taking taylor expansion of 0 in re
3.922 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
3.924 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.924 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.924 * [taylor]: Taking taylor expansion of re in re
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 1 into 1
3.924 * [backup-simplify]: Simplify (* 1 1) into 1
3.924 * [backup-simplify]: Simplify (/ 1 1) into 1
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.924 * [taylor]: Taking taylor expansion of im in re
3.924 * [backup-simplify]: Simplify im into im
3.924 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.925 * [backup-simplify]: Simplify (+ 1 0) into 1
3.925 * [backup-simplify]: Simplify (sqrt 1) into 1
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 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
3.927 * [backup-simplify]: Simplify (* 1 1) into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.928 * [backup-simplify]: Simplify (+ 0 1) into 1
3.928 * [backup-simplify]: Simplify (sqrt 1) into 1
3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.929 * [backup-simplify]: Simplify (+ 0 0) into 0
3.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.929 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.929 * [taylor]: Taking taylor expansion of re in im
3.929 * [backup-simplify]: Simplify re into re
3.930 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.930 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.930 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.930 * [taylor]: Taking taylor expansion of im in im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (* 1 1) into 1
3.930 * [backup-simplify]: Simplify (/ 1 1) into 1
3.930 * [backup-simplify]: Simplify (+ 0 1) into 1
3.931 * [backup-simplify]: Simplify (sqrt 1) into 1
3.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.932 * [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 1 in re
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [taylor]: Taking taylor expansion of 0 in re
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.934 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.934 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.934 * [taylor]: Taking taylor expansion of 1/2 in re
3.934 * [backup-simplify]: Simplify 1/2 into 1/2
3.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.934 * [taylor]: Taking taylor expansion of re in re
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 1 into 1
3.935 * [backup-simplify]: Simplify (* 1 1) into 1
3.935 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.938 * [taylor]: Taking taylor expansion of 0 in re
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
3.939 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
3.939 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
3.939 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
3.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.939 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.939 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.939 * [taylor]: Taking taylor expansion of im in re
3.940 * [backup-simplify]: Simplify im into im
3.940 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.940 * [taylor]: Taking taylor expansion of re in re
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.940 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.940 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.940 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.940 * [backup-simplify]: Simplify (+ 0 0) into 0
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.940 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.940 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.940 * [taylor]: Taking taylor expansion of im in im
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.940 * [taylor]: Taking taylor expansion of re in im
3.940 * [backup-simplify]: Simplify re into re
3.940 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.941 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.941 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.941 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.941 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.941 * [taylor]: Taking taylor expansion of im in im
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.941 * [taylor]: Taking taylor expansion of re in im
3.941 * [backup-simplify]: Simplify re into re
3.941 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.941 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.942 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.942 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.942 * [taylor]: Taking taylor expansion of re in re
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [backup-simplify]: Simplify 0 into 0
3.943 * [taylor]: Taking taylor expansion of 0 in re
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.944 * [backup-simplify]: Simplify (+ 1 0) into 1
3.945 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.945 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.945 * [taylor]: Taking taylor expansion of 1/2 in re
3.945 * [backup-simplify]: Simplify 1/2 into 1/2
3.945 * [taylor]: Taking taylor expansion of re in re
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.948 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.948 * [taylor]: Taking taylor expansion of 0 in re
3.948 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
3.950 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.950 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.950 * [taylor]: Taking taylor expansion of re in re
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (* 1 1) into 1
3.951 * [backup-simplify]: Simplify (/ 1 1) into 1
3.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.951 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.951 * [taylor]: Taking taylor expansion of im in re
3.951 * [backup-simplify]: Simplify im into im
3.951 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.952 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.952 * [backup-simplify]: Simplify (+ 1 0) into 1
3.952 * [backup-simplify]: Simplify (sqrt 1) into 1
3.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.954 * [backup-simplify]: Simplify (+ 0 0) into 0
3.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.955 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.955 * [taylor]: Taking taylor expansion of re in im
3.955 * [backup-simplify]: Simplify re into re
3.955 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.955 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.955 * [taylor]: Taking taylor expansion of im in im
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (* 1 1) into 1
3.956 * [backup-simplify]: Simplify (/ 1 1) into 1
3.957 * [backup-simplify]: Simplify (+ 0 1) into 1
3.957 * [backup-simplify]: Simplify (sqrt 1) into 1
3.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.958 * [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 im
3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.960 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.960 * [taylor]: Taking taylor expansion of re in im
3.960 * [backup-simplify]: Simplify re into re
3.960 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.960 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.960 * [taylor]: Taking taylor expansion of im in im
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (* 1 1) into 1
3.961 * [backup-simplify]: Simplify (/ 1 1) into 1
3.961 * [backup-simplify]: Simplify (+ 0 1) into 1
3.962 * [backup-simplify]: Simplify (sqrt 1) into 1
3.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.964 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.964 * [taylor]: Taking taylor expansion of 1 in re
3.965 * [backup-simplify]: Simplify 1 into 1
3.965 * [taylor]: Taking taylor expansion of 0 in re
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.967 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.968 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.968 * [taylor]: Taking taylor expansion of 1/2 in re
3.968 * [backup-simplify]: Simplify 1/2 into 1/2
3.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.968 * [taylor]: Taking taylor expansion of re in re
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 1 into 1
3.969 * [backup-simplify]: Simplify (* 1 1) into 1
3.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.975 * [taylor]: Taking taylor expansion of 0 in re
3.975 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
3.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.977 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.977 * [taylor]: Taking taylor expansion of re in re
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify 1 into 1
3.978 * [backup-simplify]: Simplify (* 1 1) into 1
3.978 * [backup-simplify]: Simplify (/ 1 1) into 1
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.978 * [taylor]: Taking taylor expansion of im in re
3.978 * [backup-simplify]: Simplify im into im
3.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.979 * [backup-simplify]: Simplify (+ 1 0) into 1
3.979 * [backup-simplify]: Simplify (sqrt 1) into 1
3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify (+ 0 0) into 0
3.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.982 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.982 * [taylor]: Taking taylor expansion of re in im
3.982 * [backup-simplify]: Simplify re into re
3.982 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.982 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.982 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.982 * [taylor]: Taking taylor expansion of im in im
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 1 into 1
3.983 * [backup-simplify]: Simplify (* 1 1) into 1
3.983 * [backup-simplify]: Simplify (/ 1 1) into 1
3.983 * [backup-simplify]: Simplify (+ 0 1) into 1
3.984 * [backup-simplify]: Simplify (sqrt 1) into 1
3.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.986 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.986 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.986 * [taylor]: Taking taylor expansion of re in im
3.986 * [backup-simplify]: Simplify re into re
3.987 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.987 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.987 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.987 * [taylor]: Taking taylor expansion of im in im
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (* 1 1) into 1
3.988 * [backup-simplify]: Simplify (/ 1 1) into 1
3.988 * [backup-simplify]: Simplify (+ 0 1) into 1
3.988 * [backup-simplify]: Simplify (sqrt 1) into 1
3.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.990 * [backup-simplify]: Simplify (+ 0 0) into 0
3.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.991 * [taylor]: Taking taylor expansion of 1 in re
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [taylor]: Taking taylor expansion of 0 in re
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.994 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.994 * [taylor]: Taking taylor expansion of 1/2 in re
3.995 * [backup-simplify]: Simplify 1/2 into 1/2
3.995 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.995 * [taylor]: Taking taylor expansion of re in re
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (* 1 1) into 1
3.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (+ 0 0) into 0
3.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.999 * [taylor]: Taking taylor expansion of 0 in re
3.999 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
4.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1)
4.001 * [backup-simplify]: Simplify (sqrt (+ (pow re 2) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
4.001 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
4.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.001 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.001 * [taylor]: Taking taylor expansion of im in im
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.001 * [taylor]: Taking taylor expansion of re in im
4.001 * [backup-simplify]: Simplify re into re
4.001 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.001 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.001 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.001 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.001 * [backup-simplify]: Simplify (+ 0 0) into 0
4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.001 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.001 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.001 * [taylor]: Taking taylor expansion of im in re
4.001 * [backup-simplify]: Simplify im into im
4.001 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.001 * [taylor]: Taking taylor expansion of re in re
4.001 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.002 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.002 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.002 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.002 * [backup-simplify]: Simplify (+ 0 0) into 0
4.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.002 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.002 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.002 * [taylor]: Taking taylor expansion of im in re
4.002 * [backup-simplify]: Simplify im into im
4.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.002 * [taylor]: Taking taylor expansion of re in re
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.002 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.002 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.002 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.003 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.003 * [taylor]: Taking taylor expansion of im in im
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify 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 into 1
4.003 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (+ 0 1) into 1
4.008 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.008 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.008 * [taylor]: Taking taylor expansion of 1/2 in im
4.008 * [backup-simplify]: Simplify 1/2 into 1/2
4.008 * [taylor]: Taking taylor expansion of im in im
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.010 * [backup-simplify]: Simplify (+ 0 0) into 0
4.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.010 * [taylor]: Taking taylor expansion of 0 in im
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.011 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.011 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.011 * [taylor]: Taking taylor expansion of re in im
4.011 * [backup-simplify]: Simplify re into re
4.011 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.011 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.011 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.011 * [taylor]: Taking taylor expansion of im in im
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
4.012 * [backup-simplify]: Simplify (/ 1 1) into 1
4.012 * [backup-simplify]: Simplify (+ 0 1) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.014 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.014 * [taylor]: Taking taylor expansion of re in re
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.014 * [backup-simplify]: Simplify (/ 1 1) into 1
4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.014 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.014 * [taylor]: Taking taylor expansion of im in re
4.014 * [backup-simplify]: Simplify im into im
4.014 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.015 * [backup-simplify]: Simplify (+ 1 0) into 1
4.015 * [backup-simplify]: Simplify (sqrt 1) into 1
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ 0 0) into 0
4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.016 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.016 * [taylor]: Taking taylor expansion of re in re
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (* 1 1) into 1
4.017 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.017 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.017 * [taylor]: Taking taylor expansion of im in re
4.017 * [backup-simplify]: Simplify im into im
4.017 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.017 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.017 * [backup-simplify]: Simplify (+ 1 0) into 1
4.018 * [backup-simplify]: Simplify (sqrt 1) into 1
4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (+ 0 0) into 0
4.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.019 * [taylor]: Taking taylor expansion of 1 in im
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [taylor]: Taking taylor expansion of 0 in im
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.022 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.022 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.022 * [taylor]: Taking taylor expansion of 1/2 in im
4.022 * [backup-simplify]: Simplify 1/2 into 1/2
4.022 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.022 * [taylor]: Taking taylor expansion of im in im
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 1 into 1
4.022 * [backup-simplify]: Simplify (* 1 1) into 1
4.023 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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
4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.027 * [backup-simplify]: Simplify (+ 0 0) into 0
4.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.028 * [taylor]: Taking taylor expansion of 0 in im
4.028 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.030 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.030 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.031 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.031 * [taylor]: Taking taylor expansion of re in im
4.031 * [backup-simplify]: Simplify re into re
4.031 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.031 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.031 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.031 * [taylor]: Taking taylor expansion of im in im
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [backup-simplify]: Simplify (* 1 1) into 1
4.032 * [backup-simplify]: Simplify (/ 1 1) into 1
4.032 * [backup-simplify]: Simplify (+ 0 1) 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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.035 * [taylor]: Taking taylor expansion of (pow re 2) 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
4.036 * [backup-simplify]: Simplify (* 1 1) into 1
4.036 * [backup-simplify]: Simplify (/ 1 1) into 1
4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.036 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.036 * [taylor]: Taking taylor expansion of im in re
4.036 * [backup-simplify]: Simplify im into im
4.036 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.036 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.037 * [backup-simplify]: Simplify (+ 1 0) into 1
4.037 * [backup-simplify]: Simplify (sqrt 1) into 1
4.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.039 * [backup-simplify]: Simplify (+ 0 0) into 0
4.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.040 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.040 * [taylor]: Taking taylor expansion of re in re
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify 1 into 1
4.040 * [backup-simplify]: Simplify (* 1 1) into 1
4.041 * [backup-simplify]: Simplify (/ 1 1) into 1
4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.041 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.041 * [taylor]: Taking taylor expansion of im in re
4.041 * [backup-simplify]: Simplify im into im
4.041 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.042 * [backup-simplify]: Simplify (+ 1 0) into 1
4.042 * [backup-simplify]: Simplify (sqrt 1) into 1
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ 0 0) into 0
4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.045 * [taylor]: Taking taylor expansion of 1 in im
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [taylor]: Taking taylor expansion of 0 in im
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.047 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.048 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.049 * [taylor]: Taking taylor expansion of 1/2 in im
4.049 * [backup-simplify]: Simplify 1/2 into 1/2
4.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.049 * [taylor]: Taking taylor expansion of im in im
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 1 into 1
4.049 * [backup-simplify]: Simplify (* 1 1) into 1
4.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.055 * [taylor]: Taking taylor expansion of 0 in im
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.058 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
4.058 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
4.058 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
4.058 * [taylor]: Taking taylor expansion of re in im
4.058 * [backup-simplify]: Simplify re into re
4.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.058 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.058 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.058 * [taylor]: Taking taylor expansion of im in im
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.058 * [taylor]: Taking taylor expansion of re in im
4.058 * [backup-simplify]: Simplify re into re
4.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.059 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.059 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.059 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.060 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.060 * [taylor]: Taking taylor expansion of re in re
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 1 into 1
4.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.060 * [taylor]: Taking taylor expansion of im in re
4.060 * [backup-simplify]: Simplify im into im
4.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.060 * [taylor]: Taking taylor expansion of re in re
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 1 into 1
4.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.060 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.061 * [backup-simplify]: Simplify (+ 0 0) into 0
4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.061 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
4.061 * [taylor]: Taking taylor expansion of re in re
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.061 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.061 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.061 * [taylor]: Taking taylor expansion of im in re
4.061 * [backup-simplify]: Simplify im into im
4.061 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.062 * [taylor]: Taking taylor expansion of re in re
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.062 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.063 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.063 * [backup-simplify]: Simplify (+ 0 im) into im
4.063 * [taylor]: Taking taylor expansion of im in im
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify (+ 1 0) into 1
4.063 * [taylor]: Taking taylor expansion of 1 in im
4.063 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify 1 into 1
4.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.064 * [backup-simplify]: Simplify (* 1 1) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.066 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.066 * [taylor]: Taking taylor expansion of 1/2 in im
4.066 * [backup-simplify]: Simplify 1/2 into 1/2
4.066 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.066 * [taylor]: Taking taylor expansion of im in im
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.070 * [backup-simplify]: Simplify (+ 0 0) into 0
4.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.070 * [backup-simplify]: Simplify (+ 0 0) into 0
4.070 * [taylor]: Taking taylor expansion of 0 in im
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.072 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im))))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
4.072 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.072 * [taylor]: Taking taylor expansion of re in im
4.072 * [backup-simplify]: Simplify re into re
4.072 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.072 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.072 * [taylor]: Taking taylor expansion of re in im
4.072 * [backup-simplify]: Simplify re into re
4.072 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.072 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.072 * [taylor]: Taking taylor expansion of im in im
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (* 1 1) into 1
4.073 * [backup-simplify]: Simplify (/ 1 1) into 1
4.073 * [backup-simplify]: Simplify (+ 0 1) into 1
4.074 * [backup-simplify]: Simplify (sqrt 1) into 1
4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.075 * [taylor]: Taking taylor expansion of re in re
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify 1 into 1
4.075 * [backup-simplify]: Simplify (/ 1 1) into 1
4.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.075 * [taylor]: Taking taylor expansion of re in re
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (* 1 1) into 1
4.076 * [backup-simplify]: Simplify (/ 1 1) into 1
4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.076 * [taylor]: Taking taylor expansion of im in re
4.076 * [backup-simplify]: Simplify im into im
4.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.076 * [backup-simplify]: Simplify (+ 1 0) into 1
4.077 * [backup-simplify]: Simplify (sqrt 1) into 1
4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.078 * [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 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.078 * [taylor]: Taking taylor expansion of re in re
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [backup-simplify]: Simplify (/ 1 1) into 1
4.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.079 * [taylor]: Taking taylor expansion of re in re
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [backup-simplify]: Simplify (* 1 1) into 1
4.079 * [backup-simplify]: Simplify (/ 1 1) into 1
4.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.079 * [taylor]: Taking taylor expansion of im in re
4.079 * [backup-simplify]: Simplify im into im
4.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.080 * [backup-simplify]: Simplify (+ 1 0) into 1
4.080 * [backup-simplify]: Simplify (sqrt 1) into 1
4.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (+ 0 0) into 0
4.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.081 * [backup-simplify]: Simplify (+ 1 1) into 2
4.082 * [taylor]: Taking taylor expansion of 2 in im
4.082 * [backup-simplify]: Simplify 2 into 2
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (+ 0 0) into 0
4.082 * [taylor]: Taking taylor expansion of 0 in im
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify 2 into 2
4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.085 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.085 * [taylor]: Taking taylor expansion of 1/2 in im
4.085 * [backup-simplify]: Simplify 1/2 into 1/2
4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.085 * [taylor]: Taking taylor expansion of im in im
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.085 * [backup-simplify]: Simplify (* 1 1) into 1
4.086 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.090 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [taylor]: Taking taylor expansion of 0 in im
4.090 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.093 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
4.093 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
4.093 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.093 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.093 * [taylor]: Taking taylor expansion of re in im
4.093 * [backup-simplify]: Simplify re into re
4.093 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.093 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.093 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.093 * [taylor]: Taking taylor expansion of im in im
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (* 1 1) into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [backup-simplify]: Simplify (+ 0 1) into 1
4.094 * [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
4.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.096 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.096 * [taylor]: Taking taylor expansion of re in im
4.096 * [backup-simplify]: Simplify re into re
4.096 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.096 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
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
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.096 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.096 * [taylor]: Taking taylor expansion of im in re
4.096 * [backup-simplify]: Simplify im into im
4.096 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.097 * [backup-simplify]: Simplify (+ 1 0) into 1
4.097 * [backup-simplify]: Simplify (sqrt 1) into 1
4.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (+ 0 0) into 0
4.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.098 * [taylor]: Taking taylor expansion of re in re
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.099 * [taylor]: Taking taylor expansion of re in re
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (* 1 1) into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.099 * [taylor]: Taking taylor expansion of im in re
4.099 * [backup-simplify]: Simplify im into im
4.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.100 * [backup-simplify]: Simplify (+ 1 0) into 1
4.100 * [backup-simplify]: Simplify (sqrt 1) into 1
4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.102 * [taylor]: Taking taylor expansion of re in re
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 1 into 1
4.102 * [backup-simplify]: Simplify (/ 1 1) into 1
4.103 * [backup-simplify]: Simplify (- 1) into -1
4.103 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.103 * [taylor]: Taking taylor expansion of 0 in im
4.103 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.104 * [backup-simplify]: Simplify (- 0) into 0
4.105 * [backup-simplify]: Simplify (+ 0 0) into 0
4.105 * [taylor]: Taking taylor expansion of 0 in im
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.106 * [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))
4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.109 * [backup-simplify]: Simplify (- 0) into 0
4.109 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.109 * [taylor]: Taking taylor expansion of 1/2 in im
4.109 * [backup-simplify]: Simplify 1/2 into 1/2
4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.110 * [taylor]: Taking taylor expansion of im in im
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [backup-simplify]: Simplify (* 1 1) into 1
4.110 * [backup-simplify]: Simplify (/ 1 1) into 1
4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (- 0) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [taylor]: Taking taylor expansion of 0 in im
4.118 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.120 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * * * [progress]: simplifying candidates
4.122 * [simplify]: Simplifying:
  (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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (pow re 2) (* im im))))
  (exp (sqrt (+ (pow re 2) (* im im))))
  (* (cbrt (sqrt (+ (pow re 2) (* im im)))) (cbrt (sqrt (+ (pow re 2) (* im im)))))
  (cbrt (sqrt (+ (pow re 2) (* im im))))
  (* (* (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (+ (pow re 2) (* im im))))
  (sqrt (* (cbrt (+ (pow re 2) (* im im))) (cbrt (+ (pow re 2) (* im im)))))
  (sqrt (cbrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt 1)
  (sqrt (+ (pow re 2) (* im im)))
  (sqrt (+ (pow (pow re 2) 3) (pow (* im im) 3)))
  (sqrt (+ (* (pow re 2) (pow re 2)) (- (* (* im im) (* im im)) (* (pow re 2) (* im im)))))
  (sqrt (- (* (pow re 2) (pow re 2)) (* (* im im) (* im im))))
  (sqrt (- (pow re 2) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (* (exp (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (exp re))
  (log (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (exp (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (* (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))
  (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (* (* (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (sqrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (sqrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))
  (+ (pow (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (- (* re re) (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))
  (- (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (* re re))
  (- (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
4.125 * * [simplify]: iteration 0: 92 enodes
4.161 * * [simplify]: iteration 1: 230 enodes
4.266 * * [simplify]: iteration 2: 941 enodes
4.588 * * [simplify]: iteration complete: 5001 enodes
4.588 * * [simplify]: Extracting #0: cost 34 inf + 0
4.588 * * [simplify]: Extracting #1: cost 324 inf + 10
4.599 * * [simplify]: Extracting #2: cost 1164 inf + 167
4.609 * * [simplify]: Extracting #3: cost 1760 inf + 3542
4.622 * * [simplify]: Extracting #4: cost 693 inf + 20669
4.635 * * [simplify]: Extracting #5: cost 53 inf + 26365
4.648 * * [simplify]: Extracting #6: cost 8 inf + 26630
4.659 * * [simplify]: Extracting #7: cost 0 inf + 26686
4.666 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (pow re 2))))
  (exp (sqrt (+ (* im im) (pow re 2))))
  (cbrt (+ (* im im) (pow re 2)))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (pow (sqrt (+ (* im im) (pow re 2))) 3)
  (fabs (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  1
  (sqrt (+ (* im im) (pow re 2)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4)))
  (sqrt (- (pow im (+ 3 1)) (pow re 4)))
  (sqrt (- (* im im) (pow re 2)))
  1/2
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (log (sqrt (+ (* im im) (pow re 2))))
  (exp (sqrt (+ (* im im) (pow re 2))))
  (cbrt (+ (* im im) (pow re 2)))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (pow (sqrt (+ (* im im) (pow re 2))) 3)
  (fabs (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  1
  (sqrt (+ (* im im) (pow re 2)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4)))
  (sqrt (- (pow im (+ 3 1)) (pow re 4)))
  (sqrt (- (* im im) (pow re 2)))
  1/2
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (log (sqrt (+ (* im im) (pow re 2))))
  (exp (sqrt (+ (* im im) (pow re 2))))
  (cbrt (+ (* im im) (pow re 2)))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (pow (sqrt (+ (* im im) (pow re 2))) 3)
  (fabs (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  1
  (sqrt (+ (* im im) (pow re 2)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im (+ 3 1))))
  (sqrt (- (pow re 2) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (sqrt (sqrt (+ (* im im) (pow re 2))))
  (exp (+ (sqrt (+ (* im im) (pow re 2))) re))
  (log (+ (sqrt (+ (* im im) (pow re 2))) re))
  (exp (+ (sqrt (+ (* im im) (pow re 2))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re)) (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re)))
  (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re))
  (pow (+ (sqrt (+ (* im im) (pow re 2))) re) 3)
  (sqrt (+ (sqrt (+ (* im im) (pow re 2))) re))
  (sqrt (+ (sqrt (+ (* im im) (pow re 2))) re))
  (+ (pow re 3) (pow (sqrt (+ (* im im) (pow re 2))) 3))
  (+ (* re (- re (sqrt (+ (* im im) (pow re 2))))) (+ (* im im) (pow re 2)))
  (- (+ (* im im) (pow re 2)) (pow re 2))
  (- (sqrt (+ (* im im) (pow re 2))) re)
  re
  im
  (- im)
  re
  im
  (- im)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
4.666 * * * [progress]: adding candidates to table
5.293 * * [progress]: iteration 4 / 4
5.293 * * * [progress]: picking best candidate
5.343 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>
5.343 * * * [progress]: localizing error
5.425 * * * [progress]: generating rewritten candidates
5.425 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1)
5.438 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1)
5.463 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1)
5.476 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1)
5.496 * * * [progress]: generating series expansions
5.496 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1)
5.496 * [backup-simplify]: Simplify (cbrt (+ (* im im) (pow re 2))) into (pow (+ (pow im 2) (pow re 2)) 1/3)
5.496 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (im re) around 0
5.496 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
5.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
5.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
5.496 * [taylor]: Taking taylor expansion of 1/3 in re
5.496 * [backup-simplify]: Simplify 1/3 into 1/3
5.496 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
5.496 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.496 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.496 * [taylor]: Taking taylor expansion of im in re
5.496 * [backup-simplify]: Simplify im into im
5.496 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.496 * [taylor]: Taking taylor expansion of re in re
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.497 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.497 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
5.497 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
5.497 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
5.497 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
5.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
5.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
5.497 * [taylor]: Taking taylor expansion of 1/3 in im
5.497 * [backup-simplify]: Simplify 1/3 into 1/3
5.497 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
5.497 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.497 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.497 * [taylor]: Taking taylor expansion of im in im
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.497 * [taylor]: Taking taylor expansion of re in im
5.497 * [backup-simplify]: Simplify re into re
5.497 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.497 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.497 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
5.497 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
5.497 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
5.497 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
5.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
5.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
5.498 * [taylor]: Taking taylor expansion of 1/3 in im
5.498 * [backup-simplify]: Simplify 1/3 into 1/3
5.498 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
5.498 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.498 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.498 * [taylor]: Taking taylor expansion of im in im
5.498 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify 1 into 1
5.498 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.498 * [taylor]: Taking taylor expansion of re in im
5.498 * [backup-simplify]: Simplify re into re
5.498 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.498 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.498 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
5.498 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
5.498 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
5.498 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re
5.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re
5.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re
5.498 * [taylor]: Taking taylor expansion of 1/3 in re
5.498 * [backup-simplify]: Simplify 1/3 into 1/3
5.498 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re
5.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.498 * [taylor]: Taking taylor expansion of re in re
5.498 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify 1 into 1
5.499 * [backup-simplify]: Simplify (* 1 1) into 1
5.499 * [backup-simplify]: Simplify (log 1) into 0
5.500 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.500 * [backup-simplify]: Simplify (* 1/3 (* 2 (log re))) into (* 2/3 (log re))
5.500 * [backup-simplify]: Simplify (exp (* 2/3 (log re))) into (pow re 2/3)
5.500 * [backup-simplify]: Simplify (pow re 2/3) into (pow re 2/3)
5.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.500 * [backup-simplify]: Simplify (+ 0 0) into 0
5.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0
5.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow re 2)))) into 0
5.502 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.502 * [taylor]: Taking taylor expansion of 0 in re
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.503 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log re)))) into 0
5.504 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify (* 1 1) into 1
5.505 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.505 * [backup-simplify]: Simplify (+ 1 0) into 1
5.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow re 2) 1)))) 2) into (/ 1 (pow re 2))
5.506 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2))))) into (* 1/3 (/ 1 (pow re 2)))
5.507 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.507 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) in re
5.507 * [taylor]: Taking taylor expansion of 1/3 in re
5.507 * [backup-simplify]: Simplify 1/3 into 1/3
5.507 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 4)) 1/3) in re
5.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 4))))) in re
5.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 4)))) in re
5.507 * [taylor]: Taking taylor expansion of 1/3 in re
5.507 * [backup-simplify]: Simplify 1/3 into 1/3
5.507 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 4))) in re
5.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re
5.507 * [taylor]: Taking taylor expansion of (pow re 4) in re
5.507 * [taylor]: Taking taylor expansion of re in re
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (* 1 1) into 1
5.508 * [backup-simplify]: Simplify (* 1 1) into 1
5.508 * [backup-simplify]: Simplify (/ 1 1) into 1
5.508 * [backup-simplify]: Simplify (log 1) into 0
5.508 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re)))
5.509 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log re)))) into (* -4/3 (log re))
5.509 * [backup-simplify]: Simplify (exp (* -4/3 (log re))) into (pow re -4/3)
5.509 * [backup-simplify]: Simplify (* 1/3 (pow re -4/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.509 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.509 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.511 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log re))))) into 0
5.513 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.514 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.514 * [backup-simplify]: Simplify (+ 0 0) into 0
5.516 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow re 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re 2) 1)))) 6) into 0
5.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2)))))) into 0
5.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.518 * [taylor]: Taking taylor expansion of 0 in re
5.518 * [backup-simplify]: Simplify 0 into 0
5.518 * [backup-simplify]: Simplify 0 into 0
5.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.520 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re)))
5.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log re))))) into 0
5.521 * [backup-simplify]: Simplify (* (exp (* -4/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow re -4/3))) into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.528 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.528 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log re)))))) into 0
5.531 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) (pow (* 1 im) 2)) (pow re 2/3)) into (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3))
5.532 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 im) (/ 1 im)) (pow (/ 1 re) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
5.532 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0
5.532 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
5.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
5.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.533 * [taylor]: Taking taylor expansion of 1/3 in re
5.533 * [backup-simplify]: Simplify 1/3 into 1/3
5.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.533 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.533 * [taylor]: Taking taylor expansion of re in re
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 1 into 1
5.533 * [backup-simplify]: Simplify (* 1 1) into 1
5.534 * [backup-simplify]: Simplify (/ 1 1) into 1
5.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.534 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.534 * [taylor]: Taking taylor expansion of im in re
5.534 * [backup-simplify]: Simplify im into im
5.534 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.534 * [backup-simplify]: Simplify (+ 1 0) into 1
5.535 * [backup-simplify]: Simplify (log 1) into 0
5.535 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.535 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
5.536 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
5.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.536 * [taylor]: Taking taylor expansion of 1/3 in im
5.536 * [backup-simplify]: Simplify 1/3 into 1/3
5.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.536 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.536 * [taylor]: Taking taylor expansion of re in im
5.536 * [backup-simplify]: Simplify re into re
5.536 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.536 * [taylor]: Taking taylor expansion of im in im
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 1 into 1
5.537 * [backup-simplify]: Simplify (* 1 1) into 1
5.537 * [backup-simplify]: Simplify (/ 1 1) into 1
5.538 * [backup-simplify]: Simplify (+ 0 1) into 1
5.538 * [backup-simplify]: Simplify (log 1) into 0
5.538 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.538 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.539 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.539 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.539 * [taylor]: Taking taylor expansion of 1/3 in im
5.539 * [backup-simplify]: Simplify 1/3 into 1/3
5.539 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.539 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.539 * [taylor]: Taking taylor expansion of re in im
5.539 * [backup-simplify]: Simplify re into re
5.539 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.539 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.539 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.539 * [taylor]: Taking taylor expansion of im in im
5.539 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify 1 into 1
5.540 * [backup-simplify]: Simplify (* 1 1) into 1
5.540 * [backup-simplify]: Simplify (/ 1 1) into 1
5.541 * [backup-simplify]: Simplify (+ 0 1) into 1
5.541 * [backup-simplify]: Simplify (log 1) into 0
5.541 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.542 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.542 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.542 * [taylor]: Taking taylor expansion of (pow im -2/3) in re
5.542 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re
5.542 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re
5.542 * [taylor]: Taking taylor expansion of -2/3 in re
5.542 * [backup-simplify]: Simplify -2/3 into -2/3
5.542 * [taylor]: Taking taylor expansion of (log im) in re
5.542 * [taylor]: Taking taylor expansion of im in re
5.542 * [backup-simplify]: Simplify im into im
5.542 * [backup-simplify]: Simplify (log im) into (log im)
5.542 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im))
5.542 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.542 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3)
5.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.544 * [backup-simplify]: Simplify (+ 0 0) into 0
5.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.546 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0
5.547 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.547 * [taylor]: Taking taylor expansion of 0 in re
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.549 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0
5.550 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.550 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.552 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
5.555 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.555 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2)))
5.556 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)))
5.556 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re
5.557 * [taylor]: Taking taylor expansion of 1/3 in re
5.557 * [backup-simplify]: Simplify 1/3 into 1/3
5.557 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re
5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.557 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.557 * [taylor]: Taking taylor expansion of re in re
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify 1 into 1
5.557 * [backup-simplify]: Simplify (* 1 1) into 1
5.557 * [backup-simplify]: Simplify (/ 1 1) into 1
5.558 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re
5.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re
5.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re
5.558 * [taylor]: Taking taylor expansion of 1/3 in re
5.558 * [backup-simplify]: Simplify 1/3 into 1/3
5.558 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re
5.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.558 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.558 * [taylor]: Taking taylor expansion of im in re
5.558 * [backup-simplify]: Simplify im into im
5.558 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.558 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2)))
5.558 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2))))
5.559 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3)
5.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0
5.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0
5.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
5.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0
5.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0
5.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0
5.572 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3)
5.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.573 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify 0 into 0
5.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0
5.576 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
5.577 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.577 * [backup-simplify]: Simplify 0 into 0
5.577 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.579 * [backup-simplify]: Simplify (+ 0 0) into 0
5.581 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.581 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.586 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
5.588 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.588 * [taylor]: Taking taylor expansion of 0 in re
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify (pow (/ 1 im) -2/3) into (pow (/ 1 im) -2/3)
5.588 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (pow (/ 1 (- re)) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
5.588 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0
5.588 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
5.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
5.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.588 * [taylor]: Taking taylor expansion of 1/3 in re
5.588 * [backup-simplify]: Simplify 1/3 into 1/3
5.588 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.589 * [taylor]: Taking taylor expansion of re in re
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 1 into 1
5.589 * [backup-simplify]: Simplify (* 1 1) into 1
5.589 * [backup-simplify]: Simplify (/ 1 1) into 1
5.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.589 * [taylor]: Taking taylor expansion of im in re
5.589 * [backup-simplify]: Simplify im into im
5.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.590 * [backup-simplify]: Simplify (+ 1 0) into 1
5.590 * [backup-simplify]: Simplify (log 1) into 0
5.590 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.590 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
5.590 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
5.590 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.590 * [taylor]: Taking taylor expansion of 1/3 in im
5.590 * [backup-simplify]: Simplify 1/3 into 1/3
5.590 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.590 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.590 * [taylor]: Taking taylor expansion of re in im
5.590 * [backup-simplify]: Simplify re into re
5.590 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.591 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.591 * [taylor]: Taking taylor expansion of im in im
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [backup-simplify]: Simplify (* 1 1) into 1
5.591 * [backup-simplify]: Simplify (/ 1 1) into 1
5.591 * [backup-simplify]: Simplify (+ 0 1) into 1
5.592 * [backup-simplify]: Simplify (log 1) into 0
5.592 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.592 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.592 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.592 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.592 * [taylor]: Taking taylor expansion of 1/3 in im
5.592 * [backup-simplify]: Simplify 1/3 into 1/3
5.592 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.592 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.592 * [taylor]: Taking taylor expansion of re in im
5.592 * [backup-simplify]: Simplify re into re
5.592 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.592 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.592 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.592 * [taylor]: Taking taylor expansion of im in im
5.592 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify 1 into 1
5.593 * [backup-simplify]: Simplify (* 1 1) into 1
5.593 * [backup-simplify]: Simplify (/ 1 1) into 1
5.593 * [backup-simplify]: Simplify (+ 0 1) into 1
5.593 * [backup-simplify]: Simplify (log 1) into 0
5.594 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.594 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.594 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.594 * [taylor]: Taking taylor expansion of (pow im -2/3) in re
5.594 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re
5.594 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re
5.594 * [taylor]: Taking taylor expansion of -2/3 in re
5.594 * [backup-simplify]: Simplify -2/3 into -2/3
5.594 * [taylor]: Taking taylor expansion of (log im) in re
5.594 * [taylor]: Taking taylor expansion of im in re
5.594 * [backup-simplify]: Simplify im into im
5.594 * [backup-simplify]: Simplify (log im) into (log im)
5.594 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im))
5.594 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.594 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3)
5.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.595 * [backup-simplify]: Simplify (+ 0 0) into 0
5.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.596 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0
5.597 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.597 * [taylor]: Taking taylor expansion of 0 in re
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.598 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0
5.599 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
5.601 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.602 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2)))
5.602 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)))
5.602 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re
5.602 * [taylor]: Taking taylor expansion of 1/3 in re
5.603 * [backup-simplify]: Simplify 1/3 into 1/3
5.603 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re
5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.603 * [taylor]: Taking taylor expansion of re in re
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [backup-simplify]: Simplify (* 1 1) into 1
5.603 * [backup-simplify]: Simplify (/ 1 1) into 1
5.603 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re
5.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re
5.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re
5.603 * [taylor]: Taking taylor expansion of 1/3 in re
5.603 * [backup-simplify]: Simplify 1/3 into 1/3
5.603 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re
5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.603 * [taylor]: Taking taylor expansion of im in re
5.603 * [backup-simplify]: Simplify im into im
5.603 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.603 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.603 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2)))
5.604 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2))))
5.604 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3)
5.604 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0
5.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0
5.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
5.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0
5.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0
5.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0
5.616 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3)
5.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 0 into 0
5.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0
5.620 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
5.621 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.623 * [backup-simplify]: Simplify (+ 0 0) into 0
5.625 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.625 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
5.627 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.627 * [taylor]: Taking taylor expansion of 0 in re
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify (pow (/ 1 (- im)) -2/3) into (pow (/ -1 im) -2/3)
5.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1)
5.628 * [backup-simplify]: Simplify (cbrt (+ (* im im) (pow re 2))) into (pow (+ (pow im 2) (pow re 2)) 1/3)
5.628 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (im re) around 0
5.628 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
5.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
5.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
5.628 * [taylor]: Taking taylor expansion of 1/3 in re
5.628 * [backup-simplify]: Simplify 1/3 into 1/3
5.628 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
5.628 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.628 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.628 * [taylor]: Taking taylor expansion of im in re
5.628 * [backup-simplify]: Simplify im into im
5.628 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.628 * [taylor]: Taking taylor expansion of re in re
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify 1 into 1
5.628 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.628 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.628 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
5.628 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
5.628 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
5.628 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
5.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
5.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
5.628 * [taylor]: Taking taylor expansion of 1/3 in im
5.628 * [backup-simplify]: Simplify 1/3 into 1/3
5.628 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
5.628 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.628 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.628 * [taylor]: Taking taylor expansion of im in im
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify 1 into 1
5.628 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.628 * [taylor]: Taking taylor expansion of re in im
5.628 * [backup-simplify]: Simplify re into re
5.628 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.629 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.629 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
5.629 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
5.629 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
5.629 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
5.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
5.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
5.629 * [taylor]: Taking taylor expansion of 1/3 in im
5.629 * [backup-simplify]: Simplify 1/3 into 1/3
5.629 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
5.629 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.629 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.629 * [taylor]: Taking taylor expansion of im in im
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 1 into 1
5.629 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.629 * [taylor]: Taking taylor expansion of re in im
5.629 * [backup-simplify]: Simplify re into re
5.629 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.629 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.629 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
5.629 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
5.629 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
5.630 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re
5.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re
5.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re
5.630 * [taylor]: Taking taylor expansion of 1/3 in re
5.630 * [backup-simplify]: Simplify 1/3 into 1/3
5.630 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re
5.630 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.630 * [taylor]: Taking taylor expansion of re in re
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (* 1 1) into 1
5.630 * [backup-simplify]: Simplify (log 1) into 0
5.630 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.631 * [backup-simplify]: Simplify (* 1/3 (* 2 (log re))) into (* 2/3 (log re))
5.631 * [backup-simplify]: Simplify (exp (* 2/3 (log re))) into (pow re 2/3)
5.631 * [backup-simplify]: Simplify (pow re 2/3) into (pow re 2/3)
5.631 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.631 * [backup-simplify]: Simplify (+ 0 0) into 0
5.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0
5.632 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow re 2)))) into 0
5.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.632 * [taylor]: Taking taylor expansion of 0 in re
5.633 * [backup-simplify]: Simplify 0 into 0
5.633 * [backup-simplify]: Simplify 0 into 0
5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.634 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log re)))) into 0
5.635 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify (* 1 1) into 1
5.635 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.636 * [backup-simplify]: Simplify (+ 1 0) into 1
5.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow re 2) 1)))) 2) into (/ 1 (pow re 2))
5.637 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2))))) into (* 1/3 (/ 1 (pow re 2)))
5.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.638 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) in re
5.638 * [taylor]: Taking taylor expansion of 1/3 in re
5.638 * [backup-simplify]: Simplify 1/3 into 1/3
5.638 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 4)) 1/3) in re
5.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 4))))) in re
5.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 4)))) in re
5.638 * [taylor]: Taking taylor expansion of 1/3 in re
5.638 * [backup-simplify]: Simplify 1/3 into 1/3
5.638 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 4))) in re
5.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re
5.638 * [taylor]: Taking taylor expansion of (pow re 4) in re
5.638 * [taylor]: Taking taylor expansion of re in re
5.638 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify 1 into 1
5.638 * [backup-simplify]: Simplify (* 1 1) into 1
5.639 * [backup-simplify]: Simplify (* 1 1) into 1
5.639 * [backup-simplify]: Simplify (/ 1 1) into 1
5.639 * [backup-simplify]: Simplify (log 1) into 0
5.639 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re)))
5.639 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log re)))) into (* -4/3 (log re))
5.639 * [backup-simplify]: Simplify (exp (* -4/3 (log re))) into (pow re -4/3)
5.640 * [backup-simplify]: Simplify (* 1/3 (pow re -4/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.640 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
5.640 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
5.642 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log re))))) into 0
5.644 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.645 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.645 * [backup-simplify]: Simplify (+ 0 0) into 0
5.647 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow re 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re 2) 1)))) 6) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2)))))) into 0
5.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.649 * [taylor]: Taking taylor expansion of 0 in re
5.649 * [backup-simplify]: Simplify 0 into 0
5.649 * [backup-simplify]: Simplify 0 into 0
5.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.652 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re)))
5.653 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log re))))) into 0
5.654 * [backup-simplify]: Simplify (* (exp (* -4/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
5.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow re -4/3))) into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify 0 into 0
5.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.661 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.662 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re))
5.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log re)))))) into 0
5.665 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.665 * [backup-simplify]: Simplify 0 into 0
5.665 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) (pow (* 1 im) 2)) (pow re 2/3)) into (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3))
5.666 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 im) (/ 1 im)) (pow (/ 1 re) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
5.666 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0
5.666 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
5.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
5.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.666 * [taylor]: Taking taylor expansion of 1/3 in re
5.666 * [backup-simplify]: Simplify 1/3 into 1/3
5.666 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.666 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.666 * [taylor]: Taking taylor expansion of re in re
5.666 * [backup-simplify]: Simplify 0 into 0
5.666 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (* 1 1) into 1
5.667 * [backup-simplify]: Simplify (/ 1 1) into 1
5.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.667 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.667 * [taylor]: Taking taylor expansion of im in re
5.667 * [backup-simplify]: Simplify im into im
5.668 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.668 * [backup-simplify]: Simplify (+ 1 0) into 1
5.669 * [backup-simplify]: Simplify (log 1) into 0
5.669 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.669 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
5.669 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
5.669 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.669 * [taylor]: Taking taylor expansion of 1/3 in im
5.669 * [backup-simplify]: Simplify 1/3 into 1/3
5.669 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.670 * [taylor]: Taking taylor expansion of re in im
5.670 * [backup-simplify]: Simplify re into re
5.670 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.670 * [taylor]: Taking taylor expansion of im in im
5.670 * [backup-simplify]: Simplify 0 into 0
5.670 * [backup-simplify]: Simplify 1 into 1
5.670 * [backup-simplify]: Simplify (* 1 1) into 1
5.671 * [backup-simplify]: Simplify (/ 1 1) into 1
5.671 * [backup-simplify]: Simplify (+ 0 1) into 1
5.672 * [backup-simplify]: Simplify (log 1) into 0
5.672 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.672 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.672 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.672 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.672 * [taylor]: Taking taylor expansion of 1/3 in im
5.672 * [backup-simplify]: Simplify 1/3 into 1/3
5.672 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.673 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.673 * [taylor]: Taking taylor expansion of re in im
5.673 * [backup-simplify]: Simplify re into re
5.673 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.673 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.673 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.673 * [taylor]: Taking taylor expansion of im in im
5.673 * [backup-simplify]: Simplify 0 into 0
5.673 * [backup-simplify]: Simplify 1 into 1
5.673 * [backup-simplify]: Simplify (* 1 1) into 1
5.674 * [backup-simplify]: Simplify (/ 1 1) into 1
5.674 * [backup-simplify]: Simplify (+ 0 1) into 1
5.675 * [backup-simplify]: Simplify (log 1) into 0
5.675 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.675 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.675 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.675 * [taylor]: Taking taylor expansion of (pow im -2/3) in re
5.675 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re
5.675 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re
5.675 * [taylor]: Taking taylor expansion of -2/3 in re
5.675 * [backup-simplify]: Simplify -2/3 into -2/3
5.676 * [taylor]: Taking taylor expansion of (log im) in re
5.676 * [taylor]: Taking taylor expansion of im in re
5.676 * [backup-simplify]: Simplify im into im
5.676 * [backup-simplify]: Simplify (log im) into (log im)
5.676 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im))
5.676 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.676 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3)
5.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.678 * [backup-simplify]: Simplify (+ 0 0) into 0
5.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.680 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0
5.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.681 * [taylor]: Taking taylor expansion of 0 in re
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify 0 into 0
5.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.683 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0
5.684 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.684 * [backup-simplify]: Simplify 0 into 0
5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.686 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
5.689 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.689 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2)))
5.690 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)))
5.690 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re
5.690 * [taylor]: Taking taylor expansion of 1/3 in re
5.690 * [backup-simplify]: Simplify 1/3 into 1/3
5.690 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re
5.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.691 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.691 * [taylor]: Taking taylor expansion of re in re
5.691 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify 1 into 1
5.691 * [backup-simplify]: Simplify (* 1 1) into 1
5.691 * [backup-simplify]: Simplify (/ 1 1) into 1
5.691 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re
5.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re
5.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re
5.691 * [taylor]: Taking taylor expansion of 1/3 in re
5.692 * [backup-simplify]: Simplify 1/3 into 1/3
5.692 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re
5.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.692 * [taylor]: Taking taylor expansion of im in re
5.692 * [backup-simplify]: Simplify im into im
5.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.692 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2)))
5.692 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2))))
5.692 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3)
5.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0
5.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0
5.695 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
5.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0
5.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0
5.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.703 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0
5.706 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3)
5.708 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.708 * [backup-simplify]: Simplify 0 into 0
5.708 * [backup-simplify]: Simplify 0 into 0
5.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0
5.710 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
5.712 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.712 * [backup-simplify]: Simplify 0 into 0
5.712 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.719 * [backup-simplify]: Simplify (+ 0 0) into 0
5.723 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.724 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
5.727 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.727 * [taylor]: Taking taylor expansion of 0 in re
5.727 * [backup-simplify]: Simplify 0 into 0
5.727 * [backup-simplify]: Simplify 0 into 0
5.727 * [backup-simplify]: Simplify (pow (/ 1 im) -2/3) into (pow (/ 1 im) -2/3)
5.728 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (pow (/ 1 (- re)) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
5.728 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0
5.728 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
5.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
5.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.728 * [taylor]: Taking taylor expansion of 1/3 in re
5.728 * [backup-simplify]: Simplify 1/3 into 1/3
5.728 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.728 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.728 * [taylor]: Taking taylor expansion of re in re
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 1 into 1
5.729 * [backup-simplify]: Simplify (* 1 1) into 1
5.729 * [backup-simplify]: Simplify (/ 1 1) into 1
5.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.729 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.729 * [taylor]: Taking taylor expansion of im in re
5.729 * [backup-simplify]: Simplify im into im
5.729 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.730 * [backup-simplify]: Simplify (+ 1 0) into 1
5.730 * [backup-simplify]: Simplify (log 1) into 0
5.731 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
5.731 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
5.731 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
5.731 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.731 * [taylor]: Taking taylor expansion of 1/3 in im
5.731 * [backup-simplify]: Simplify 1/3 into 1/3
5.731 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.731 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.731 * [taylor]: Taking taylor expansion of re in im
5.731 * [backup-simplify]: Simplify re into re
5.731 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.732 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.732 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.732 * [taylor]: Taking taylor expansion of im in im
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 1 into 1
5.732 * [backup-simplify]: Simplify (* 1 1) into 1
5.732 * [backup-simplify]: Simplify (/ 1 1) into 1
5.733 * [backup-simplify]: Simplify (+ 0 1) into 1
5.733 * [backup-simplify]: Simplify (log 1) into 0
5.734 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.734 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.734 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.734 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
5.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
5.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.734 * [taylor]: Taking taylor expansion of 1/3 in im
5.734 * [backup-simplify]: Simplify 1/3 into 1/3
5.734 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.734 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.734 * [taylor]: Taking taylor expansion of re in im
5.734 * [backup-simplify]: Simplify re into re
5.734 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.735 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.735 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.735 * [taylor]: Taking taylor expansion of im in im
5.735 * [backup-simplify]: Simplify 0 into 0
5.735 * [backup-simplify]: Simplify 1 into 1
5.735 * [backup-simplify]: Simplify (* 1 1) into 1
5.735 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [backup-simplify]: Simplify (+ 0 1) into 1
5.736 * [backup-simplify]: Simplify (log 1) into 0
5.737 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.737 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
5.737 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.737 * [taylor]: Taking taylor expansion of (pow im -2/3) in re
5.737 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re
5.737 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re
5.737 * [taylor]: Taking taylor expansion of -2/3 in re
5.738 * [backup-simplify]: Simplify -2/3 into -2/3
5.738 * [taylor]: Taking taylor expansion of (log im) in re
5.738 * [taylor]: Taking taylor expansion of im in re
5.738 * [backup-simplify]: Simplify im into im
5.738 * [backup-simplify]: Simplify (log im) into (log im)
5.738 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im))
5.738 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
5.738 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3)
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.740 * [backup-simplify]: Simplify (+ 0 0) into 0
5.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.742 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0
5.744 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.744 * [taylor]: Taking taylor expansion of 0 in re
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
5.745 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0
5.746 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
5.746 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.749 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
5.750 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.751 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2)))
5.751 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)))
5.751 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re
5.751 * [taylor]: Taking taylor expansion of 1/3 in re
5.751 * [backup-simplify]: Simplify 1/3 into 1/3
5.751 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re
5.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.751 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.751 * [taylor]: Taking taylor expansion of re in re
5.751 * [backup-simplify]: Simplify 0 into 0
5.751 * [backup-simplify]: Simplify 1 into 1
5.752 * [backup-simplify]: Simplify (* 1 1) into 1
5.752 * [backup-simplify]: Simplify (/ 1 1) into 1
5.752 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re
5.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re
5.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re
5.752 * [taylor]: Taking taylor expansion of 1/3 in re
5.752 * [backup-simplify]: Simplify 1/3 into 1/3
5.752 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re
5.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.752 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.752 * [taylor]: Taking taylor expansion of im in re
5.752 * [backup-simplify]: Simplify im into im
5.752 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.752 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.752 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2)))
5.752 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2))))
5.753 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3)
5.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0
5.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0
5.754 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
5.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0
5.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0
5.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0
5.761 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3)
5.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0
5.762 * [backup-simplify]: Simplify 0 into 0
5.762 * [backup-simplify]: Simplify 0 into 0
5.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0
5.763 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
5.764 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.764 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.766 * [backup-simplify]: Simplify (+ 0 0) into 0
5.768 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.768 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
5.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
5.770 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.771 * [taylor]: Taking taylor expansion of 0 in re
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify (pow (/ 1 (- im)) -2/3) into (pow (/ -1 im) -2/3)
5.771 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1)
5.771 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
5.771 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
5.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.771 * [taylor]: Taking taylor expansion of im in re
5.771 * [backup-simplify]: Simplify im into im
5.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.771 * [taylor]: Taking taylor expansion of re in re
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify 1 into 1
5.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.771 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.771 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.772 * [backup-simplify]: Simplify (+ 0 0) into 0
5.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.772 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.772 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.772 * [taylor]: Taking taylor expansion of im in im
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.772 * [taylor]: Taking taylor expansion of re in im
5.772 * [backup-simplify]: Simplify re into re
5.772 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.772 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.772 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.772 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.773 * [backup-simplify]: Simplify (+ 0 0) into 0
5.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.773 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.773 * [taylor]: Taking taylor expansion of im in im
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 1 into 1
5.773 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.773 * [taylor]: Taking taylor expansion of re in im
5.773 * [backup-simplify]: Simplify re into re
5.773 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.773 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.773 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.773 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.774 * [backup-simplify]: Simplify (+ 0 0) into 0
5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.774 * [taylor]: Taking taylor expansion of re in re
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [taylor]: Taking taylor expansion of 0 in re
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.774 * [backup-simplify]: Simplify (* 1 1) into 1
5.774 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.775 * [backup-simplify]: Simplify (+ 1 0) into 1
5.775 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.775 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
5.775 * [taylor]: Taking taylor expansion of 1/2 in re
5.775 * [backup-simplify]: Simplify 1/2 into 1/2
5.775 * [taylor]: Taking taylor expansion of re in re
5.775 * [backup-simplify]: Simplify 0 into 0
5.775 * [backup-simplify]: Simplify 1 into 1
5.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.777 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.777 * [backup-simplify]: Simplify (+ 0 0) into 0
5.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.777 * [taylor]: Taking taylor expansion of 0 in re
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
5.778 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.778 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
5.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.778 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.778 * [taylor]: Taking taylor expansion of re in re
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 1 into 1
5.779 * [backup-simplify]: Simplify (* 1 1) into 1
5.779 * [backup-simplify]: Simplify (/ 1 1) into 1
5.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.779 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.779 * [taylor]: Taking taylor expansion of im in re
5.779 * [backup-simplify]: Simplify im into im
5.779 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.779 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.779 * [backup-simplify]: Simplify (+ 1 0) into 1
5.780 * [backup-simplify]: Simplify (sqrt 1) into 1
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (+ 0 0) into 0
5.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.781 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.781 * [taylor]: Taking taylor expansion of re in im
5.781 * [backup-simplify]: Simplify re into re
5.781 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.781 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.781 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.781 * [taylor]: Taking taylor expansion of im in im
5.781 * [backup-simplify]: Simplify 0 into 0
5.781 * [backup-simplify]: Simplify 1 into 1
5.782 * [backup-simplify]: Simplify (* 1 1) into 1
5.782 * [backup-simplify]: Simplify (/ 1 1) into 1
5.782 * [backup-simplify]: Simplify (+ 0 1) into 1
5.782 * [backup-simplify]: Simplify (sqrt 1) into 1
5.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.784 * [backup-simplify]: Simplify (+ 0 0) into 0
5.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.785 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.785 * [taylor]: Taking taylor expansion of re in im
5.785 * [backup-simplify]: Simplify re into re
5.785 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.785 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.785 * [taylor]: Taking taylor expansion of im in im
5.785 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify 1 into 1
5.785 * [backup-simplify]: Simplify (* 1 1) into 1
5.785 * [backup-simplify]: Simplify (/ 1 1) into 1
5.786 * [backup-simplify]: Simplify (+ 0 1) into 1
5.786 * [backup-simplify]: Simplify (sqrt 1) into 1
5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.787 * [backup-simplify]: Simplify (+ 0 0) into 0
5.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.788 * [taylor]: Taking taylor expansion of 1 in re
5.788 * [backup-simplify]: Simplify 1 into 1
5.788 * [taylor]: Taking taylor expansion of 0 in re
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 1 into 1
5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.789 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.791 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.791 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
5.791 * [taylor]: Taking taylor expansion of 1/2 in re
5.791 * [backup-simplify]: Simplify 1/2 into 1/2
5.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.791 * [taylor]: Taking taylor expansion of re in re
5.791 * [backup-simplify]: Simplify 0 into 0
5.791 * [backup-simplify]: Simplify 1 into 1
5.791 * [backup-simplify]: Simplify (* 1 1) into 1
5.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (+ 0 0) into 0
5.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
5.797 * [taylor]: Taking taylor expansion of 0 in re
5.797 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
5.799 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.799 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
5.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.800 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.800 * [taylor]: Taking taylor expansion of re in re
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 1 into 1
5.800 * [backup-simplify]: Simplify (* 1 1) into 1
5.800 * [backup-simplify]: Simplify (/ 1 1) into 1
5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.800 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.801 * [taylor]: Taking taylor expansion of im in re
5.801 * [backup-simplify]: Simplify im into im
5.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.801 * [backup-simplify]: Simplify (+ 1 0) into 1
5.802 * [backup-simplify]: Simplify (sqrt 1) into 1
5.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.804 * [backup-simplify]: Simplify (+ 0 0) into 0
5.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.804 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.805 * [taylor]: Taking taylor expansion of re in im
5.805 * [backup-simplify]: Simplify re into re
5.805 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.805 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.805 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.805 * [taylor]: Taking taylor expansion of im in im
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 1 into 1
5.805 * [backup-simplify]: Simplify (* 1 1) into 1
5.806 * [backup-simplify]: Simplify (/ 1 1) into 1
5.806 * [backup-simplify]: Simplify (+ 0 1) into 1
5.806 * [backup-simplify]: Simplify (sqrt 1) into 1
5.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.808 * [backup-simplify]: Simplify (+ 0 0) into 0
5.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.809 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.809 * [taylor]: Taking taylor expansion of re in im
5.809 * [backup-simplify]: Simplify re into re
5.809 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.809 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.810 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.810 * [taylor]: Taking taylor expansion of im in im
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 1 into 1
5.810 * [backup-simplify]: Simplify (* 1 1) into 1
5.810 * [backup-simplify]: Simplify (/ 1 1) into 1
5.811 * [backup-simplify]: Simplify (+ 0 1) into 1
5.811 * [backup-simplify]: Simplify (sqrt 1) into 1
5.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.813 * [backup-simplify]: Simplify (+ 0 0) into 0
5.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.814 * [taylor]: Taking taylor expansion of 1 in re
5.814 * [backup-simplify]: Simplify 1 into 1
5.814 * [taylor]: Taking taylor expansion of 0 in re
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.816 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.817 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
5.817 * [taylor]: Taking taylor expansion of 1/2 in re
5.818 * [backup-simplify]: Simplify 1/2 into 1/2
5.818 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.818 * [taylor]: Taking taylor expansion of re in re
5.818 * [backup-simplify]: Simplify 0 into 0
5.818 * [backup-simplify]: Simplify 1 into 1
5.818 * [backup-simplify]: Simplify (* 1 1) into 1
5.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (+ 0 0) into 0
5.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
5.824 * [taylor]: Taking taylor expansion of 0 in re
5.824 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
5.826 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1)
5.826 * [backup-simplify]: Simplify (sqrt (+ (pow re 2) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.826 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.826 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.826 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.826 * [taylor]: Taking taylor expansion of im in im
5.826 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 1 into 1
5.827 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.827 * [taylor]: Taking taylor expansion of re in im
5.827 * [backup-simplify]: Simplify re into re
5.827 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.827 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.827 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.827 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.827 * [backup-simplify]: Simplify (+ 0 0) into 0
5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.828 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.828 * [taylor]: Taking taylor expansion of im in re
5.828 * [backup-simplify]: Simplify im into im
5.828 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.828 * [taylor]: Taking taylor expansion of re in re
5.828 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.828 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.828 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.829 * [backup-simplify]: Simplify (+ 0 0) into 0
5.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.829 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.829 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.829 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.829 * [taylor]: Taking taylor expansion of im in re
5.829 * [backup-simplify]: Simplify im into im
5.829 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.829 * [taylor]: Taking taylor expansion of re in re
5.829 * [backup-simplify]: Simplify 0 into 0
5.829 * [backup-simplify]: Simplify 1 into 1
5.829 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.829 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.830 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.830 * [backup-simplify]: Simplify (+ 0 0) into 0
5.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.830 * [taylor]: Taking taylor expansion of im in im
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 1 into 1
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [taylor]: Taking taylor expansion of 0 in im
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 1 into 1
5.831 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.831 * [backup-simplify]: Simplify (* 1 1) into 1
5.832 * [backup-simplify]: Simplify (+ 0 1) into 1
5.833 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.833 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.833 * [taylor]: Taking taylor expansion of 1/2 in im
5.833 * [backup-simplify]: Simplify 1/2 into 1/2
5.833 * [taylor]: Taking taylor expansion of im in im
5.833 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify 1 into 1
5.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.836 * [backup-simplify]: Simplify (+ 0 0) into 0
5.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.836 * [taylor]: Taking taylor expansion of 0 in im
5.836 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.838 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.838 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.838 * [taylor]: Taking taylor expansion of re in im
5.838 * [backup-simplify]: Simplify re into re
5.838 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.839 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.839 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.839 * [taylor]: Taking taylor expansion of im in im
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify 1 into 1
5.839 * [backup-simplify]: Simplify (* 1 1) into 1
5.840 * [backup-simplify]: Simplify (/ 1 1) into 1
5.840 * [backup-simplify]: Simplify (+ 0 1) into 1
5.840 * [backup-simplify]: Simplify (sqrt 1) into 1
5.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.842 * [backup-simplify]: Simplify (+ 0 0) into 0
5.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.843 * [taylor]: Taking taylor expansion of re in re
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [backup-simplify]: Simplify (* 1 1) into 1
5.844 * [backup-simplify]: Simplify (/ 1 1) into 1
5.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.844 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.844 * [taylor]: Taking taylor expansion of im in re
5.844 * [backup-simplify]: Simplify im into im
5.844 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.845 * [backup-simplify]: Simplify (+ 1 0) into 1
5.845 * [backup-simplify]: Simplify (sqrt 1) into 1
5.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.847 * [backup-simplify]: Simplify (+ 0 0) into 0
5.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.848 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.848 * [taylor]: Taking taylor expansion of re in re
5.848 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (* 1 1) into 1
5.853 * [backup-simplify]: Simplify (/ 1 1) into 1
5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.853 * [taylor]: Taking taylor expansion of im in re
5.853 * [backup-simplify]: Simplify im into im
5.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.854 * [backup-simplify]: Simplify (+ 1 0) into 1
5.855 * [backup-simplify]: Simplify (sqrt 1) into 1
5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.856 * [backup-simplify]: Simplify (+ 0 0) into 0
5.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.857 * [taylor]: Taking taylor expansion of 1 in im
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [taylor]: Taking taylor expansion of 0 in im
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.860 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.861 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.861 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.861 * [taylor]: Taking taylor expansion of 1/2 in im
5.861 * [backup-simplify]: Simplify 1/2 into 1/2
5.861 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.861 * [taylor]: Taking taylor expansion of im in im
5.861 * [backup-simplify]: Simplify 0 into 0
5.861 * [backup-simplify]: Simplify 1 into 1
5.862 * [backup-simplify]: Simplify (* 1 1) into 1
5.862 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.866 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.866 * [backup-simplify]: Simplify (+ 0 0) into 0
5.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.867 * [taylor]: Taking taylor expansion of 0 in im
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.868 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.868 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.869 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.869 * [taylor]: Taking taylor expansion of re in im
5.869 * [backup-simplify]: Simplify re into re
5.869 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.869 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.869 * [taylor]: Taking taylor expansion of im in im
5.869 * [backup-simplify]: Simplify 0 into 0
5.869 * [backup-simplify]: Simplify 1 into 1
5.869 * [backup-simplify]: Simplify (* 1 1) into 1
5.869 * [backup-simplify]: Simplify (/ 1 1) into 1
5.870 * [backup-simplify]: Simplify (+ 0 1) into 1
5.870 * [backup-simplify]: Simplify (sqrt 1) into 1
5.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.871 * [backup-simplify]: Simplify (+ 0 0) into 0
5.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.871 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.871 * [taylor]: Taking taylor expansion of re in re
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.872 * [backup-simplify]: Simplify (* 1 1) into 1
5.872 * [backup-simplify]: Simplify (/ 1 1) into 1
5.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.872 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.872 * [taylor]: Taking taylor expansion of im in re
5.872 * [backup-simplify]: Simplify im into im
5.872 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.872 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.872 * [backup-simplify]: Simplify (+ 1 0) into 1
5.873 * [backup-simplify]: Simplify (sqrt 1) into 1
5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.874 * [backup-simplify]: Simplify (+ 0 0) into 0
5.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.874 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.874 * [taylor]: Taking taylor expansion of re in re
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (* 1 1) into 1
5.875 * [backup-simplify]: Simplify (/ 1 1) into 1
5.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.875 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.875 * [taylor]: Taking taylor expansion of im in re
5.875 * [backup-simplify]: Simplify im into im
5.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.875 * [backup-simplify]: Simplify (+ 1 0) into 1
5.875 * [backup-simplify]: Simplify (sqrt 1) into 1
5.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (+ 0 0) into 0
5.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.877 * [taylor]: Taking taylor expansion of 1 in im
5.877 * [backup-simplify]: Simplify 1 into 1
5.877 * [taylor]: Taking taylor expansion of 0 in im
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.879 * [taylor]: Taking taylor expansion of 1/2 in im
5.879 * [backup-simplify]: Simplify 1/2 into 1/2
5.879 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.879 * [taylor]: Taking taylor expansion of im in im
5.879 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify 1 into 1
5.879 * [backup-simplify]: Simplify (* 1 1) into 1
5.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.882 * [backup-simplify]: Simplify (+ 0 0) into 0
5.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.883 * [taylor]: Taking taylor expansion of 0 in im
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.884 * * * [progress]: simplifying candidates
5.885 * [simplify]: Simplifying:
  (log (cbrt (+ (* im im) (pow re 2))))
  (exp (cbrt (+ (* im im) (pow re 2))))
  (cbrt (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))))
  (cbrt (cbrt (+ (* im im) (pow re 2))))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (cbrt 1)
  (cbrt (+ (* im im) (pow re 2)))
  (cbrt (+ (pow (* im im) 3) (pow (pow re 2) 3)))
  (cbrt (+ (* (* im im) (* im im)) (- (* (pow re 2) (pow re 2)) (* (* im im) (pow re 2)))))
  (cbrt (- (* (* im im) (* im im)) (* (pow re 2) (pow re 2))))
  (cbrt (- (* im im) (pow re 2)))
  (* (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (cbrt (+ (* im im) (pow re 2)))))
  (cbrt (cbrt (+ (* im im) (pow re 2))))
  (* (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (log (cbrt (+ (* im im) (pow re 2))))
  (exp (cbrt (+ (* im im) (pow re 2))))
  (cbrt (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))))
  (cbrt (cbrt (+ (* im im) (pow re 2))))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (cbrt (sqrt (+ (* im im) (pow re 2))))
  (cbrt 1)
  (cbrt (+ (* im im) (pow re 2)))
  (cbrt (+ (pow (* im im) 3) (pow (pow re 2) 3)))
  (cbrt (+ (* (* im im) (* im im)) (- (* (pow re 2) (pow re 2)) (* (* im im) (pow re 2)))))
  (cbrt (- (* (* im im) (* im im)) (* (pow re 2) (pow re 2))))
  (cbrt (- (* im im) (pow re 2)))
  (* (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (cbrt (+ (* im im) (pow re 2)))))
  (cbrt (cbrt (+ (* im im) (pow re 2))))
  (* (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (sqrt (cbrt (+ (* im im) (pow re 2))))
  (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))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt 1)
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (pow (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* im im) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (pow re 2) (* im im))))
  (exp (sqrt (+ (pow re 2) (* im im))))
  (* (cbrt (sqrt (+ (pow re 2) (* im im)))) (cbrt (sqrt (+ (pow re 2) (* im im)))))
  (cbrt (sqrt (+ (pow re 2) (* im im))))
  (* (* (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (+ (pow re 2) (* im im))))
  (sqrt (* (cbrt (+ (pow re 2) (* im im))) (cbrt (+ (pow re 2) (* im im)))))
  (sqrt (cbrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt 1)
  (sqrt (+ (pow re 2) (* im im)))
  (sqrt (+ (pow (pow re 2) 3) (pow (* im im) 3)))
  (sqrt (+ (* (pow re 2) (pow re 2)) (- (* (* im im) (* im im)) (* (pow re 2) (* im im)))))
  (sqrt (- (* (pow re 2) (pow re 2)) (* (* im im) (* im im))))
  (sqrt (- (pow re 2) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (sqrt (sqrt (+ (pow re 2) (* im im))))
  (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3))
  (pow (/ 1 im) -2/3)
  (pow (/ -1 im) -2/3)
  (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3))
  (pow (/ 1 im) -2/3)
  (pow (/ -1 im) -2/3)
  re
  im
  (* -1 im)
  im
  re
  (* -1 re)
5.886 * * [simplify]: iteration 0: 104 enodes
5.915 * * [simplify]: iteration 1: 234 enodes
6.004 * * [simplify]: iteration 2: 890 enodes
6.377 * * [simplify]: iteration complete: 5001 enodes
6.378 * * [simplify]: Extracting #0: cost 35 inf + 0
6.378 * * [simplify]: Extracting #1: cost 82 inf + 8
6.379 * * [simplify]: Extracting #2: cost 401 inf + 40
6.395 * * [simplify]: Extracting #3: cost 1687 inf + 1311
6.408 * * [simplify]: Extracting #4: cost 1203 inf + 6590
6.419 * * [simplify]: Extracting #5: cost 171 inf + 12769
6.426 * * [simplify]: Extracting #6: cost 38 inf + 13455
6.434 * * [simplify]: Extracting #7: cost 0 inf + 13682
6.442 * * [simplify]: Extracting #8: cost 0 inf + 13670
6.450 * [simplify]: Simplified to:
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  1
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow im 6) (pow re 6)))
  (cbrt (- (pow im 4) (* (* re re) (- (* im im) (* re re)))))
  (cbrt (- (pow im 4) (pow re 4)))
  (cbrt (- (* im im) (* re re)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (+ (* re re) (* im im))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  1
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow im 6) (pow re 6)))
  (cbrt (- (pow im 4) (* (* re re) (- (* im im) (* re re)))))
  (cbrt (- (pow im 4) (pow re 4)))
  (cbrt (- (* im im) (* re re)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (+ (* re re) (* im im))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* 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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (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 (+ (pow im 6) (pow re 6)))
  (sqrt (- (pow im 4) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (* im im) (* re re)))
  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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (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 (+ (pow im 6) (pow re 6)))
  (sqrt (- (pow im 4) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (+ (* (* (* im im) 1/3) (cbrt (/ 1 (pow re 4)))) (pow re 2/3))
  (pow (/ 1 im) -2/3)
  (pow (/ -1 im) -2/3)
  (+ (* (* (* im im) 1/3) (cbrt (/ 1 (pow re 4)))) (pow re 2/3))
  (pow (/ 1 im) -2/3)
  (pow (/ -1 im) -2/3)
  re
  im
  (- im)
  im
  re
  (- re)
6.450 * * * [progress]: adding candidates to table
7.400 * [progress]: [Phase 3 of 3] Extracting.
7.400 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
7.404 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
7.404 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
7.497 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
7.589 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
7.722 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
7.831 * * * [regime]: Found split indices: #<option (#s(si 0 56) #s(si 3 106) #s(si 5 174) #s(si 1 184) #s(si 5 189) #s(si 2 199) #s(si 4 255))>
7.832 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
8.364 * [regimes]: Found splitpoints: (#s(sp 0 im -3.427084990917964e+78) #s(sp 3 im -6.880635684369792e-159) #s(sp 5 im 9.70782659028253e-159) #s(sp 1 im 1.1868448689344675e-110) #s(sp 5 im 8.353449931139474e-93) #s(sp 2 im 9.216308869239449e-10) #s(sp 4 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (* (fabs (exp (log (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* im im) (pow re 2))))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))))>)
8.366 * [simplify]: Simplifying:
  (if (<= im -3.427084990917964e+78) (* 0.5 (sqrt (* 2.0 (- re im)))) (if (<= im -6.880635684369792e-159) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)))) (if (<= im 9.70782659028253e-159) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= im 1.1868448689344675e-110) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= im 8.353449931139474e-93) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= im 9.216308869239449e-10) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re))))) (* 0.5 (sqrt (* 2.0 (+ im re))))))))))
8.366 * * [simplify]: iteration 0: 57 enodes
8.371 * * [simplify]: iteration 1: 74 enodes
8.375 * * [simplify]: iteration 2: 75 enodes
8.380 * * [simplify]: iteration complete: 75 enodes
8.380 * * [simplify]: Extracting #0: cost 1 inf + 0
8.380 * * [simplify]: Extracting #1: cost 4 inf + 0
8.380 * * [simplify]: Extracting #2: cost 11 inf + 0
8.380 * * [simplify]: Extracting #3: cost 14 inf + 3
8.380 * * [simplify]: Extracting #4: cost 19 inf + 10
8.380 * * [simplify]: Extracting #5: cost 23 inf + 15
8.381 * * [simplify]: Extracting #6: cost 29 inf + 17
8.381 * * [simplify]: Extracting #7: cost 29 inf + 46
8.381 * * [simplify]: Extracting #8: cost 29 inf + 58
8.381 * * [simplify]: Extracting #9: cost 30 inf + 75
8.381 * * [simplify]: Extracting #10: cost 27 inf + 90
8.382 * * [simplify]: Extracting #11: cost 20 inf + 146
8.382 * * [simplify]: Extracting #12: cost 13 inf + 241
8.382 * * [simplify]: Extracting #13: cost 9 inf + 340
8.382 * * [simplify]: Extracting #14: cost 6 inf + 447
8.382 * * [simplify]: Extracting #15: cost 3 inf + 584
8.382 * * [simplify]: Extracting #16: cost 2 inf + 663
8.383 * * [simplify]: Extracting #17: cost 1 inf + 782
8.383 * * [simplify]: Extracting #18: cost 0 inf + 913
8.383 * [simplify]: Simplified to:
  (if (<= im -3.427084990917964e+78) (* (sqrt (* (- re im) 2.0)) 0.5) (if (<= im -6.880635684369792e-159) (* (sqrt (* 2.0 (+ (* (cbrt (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))) re))) 0.5) (if (<= im 9.70782659028253e-159) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= im 1.1868448689344675e-110) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= im 8.353449931139474e-93) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= im 9.216308869239449e-10) (* (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) 0.5) (* (sqrt (* 2.0 (+ re im))) 0.5)))))))
12.036 * [regime-testing]: Baseline error score: 38.345545616614565
12.039 * [regime-testing]: Oracle error score: 9.503873931023556
12.043 * [regime-testing]: End program error score: 22.607291640206675
12.186 * [regime-testing]: Target error score: 32.66243764735636