18.282 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.037 * [progress]: [Phase 2 of 3] Improving.
0.037 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.038 * * [simplify]: iteration 0: 12 enodes
0.041 * * [simplify]: iteration 1: 22 enodes
0.047 * * [simplify]: iteration 2: 24 enodes
0.051 * * [simplify]: iteration complete: 24 enodes
0.051 * * [simplify]: Extracting #0: cost 1 inf + 0
0.051 * * [simplify]: Extracting #1: cost 3 inf + 0
0.051 * * [simplify]: Extracting #2: cost 3 inf + 1
0.051 * * [simplify]: Extracting #3: cost 7 inf + 1
0.051 * * [simplify]: Extracting #4: cost 8 inf + 2
0.052 * * [simplify]: Extracting #5: cost 8 inf + 3
0.052 * * [simplify]: Extracting #6: cost 9 inf + 6
0.052 * * [simplify]: Extracting #7: cost 9 inf + 9
0.052 * * [simplify]: Extracting #8: cost 7 inf + 13
0.052 * * [simplify]: Extracting #9: cost 5 inf + 28
0.052 * * [simplify]: Extracting #10: cost 2 inf + 60
0.052 * * [simplify]: Extracting #11: cost 0 inf + 88
0.052 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.058 * * [progress]: iteration 1 / 4
0.058 * * * [progress]: picking best candidate
0.061 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))))>
0.061 * * * [progress]: localizing error
0.079 * * * [progress]: generating rewritten candidates
0.079 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
0.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
0.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.178 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1)
0.193 * * * [progress]: generating series expansions
0.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
0.193 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.194 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.194 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.194 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.194 * [taylor]: Taking taylor expansion of re in im
0.194 * [backup-simplify]: Simplify re into re
0.194 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.194 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.194 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.194 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.195 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.195 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.195 * [taylor]: Taking taylor expansion of im in re
0.195 * [backup-simplify]: Simplify im into im
0.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.195 * [taylor]: Taking taylor expansion of re in re
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.196 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.197 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.197 * [taylor]: Taking taylor expansion of im in re
0.197 * [backup-simplify]: Simplify im into im
0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.197 * [taylor]: Taking taylor expansion of re in re
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.197 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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 * [backup-simplify]: Simplify 0 into 0
0.198 * [taylor]: Taking taylor expansion of 0 in im
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.200 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.200 * [taylor]: Taking taylor expansion of 1/2 in im
0.200 * [backup-simplify]: Simplify 1/2 into 1/2
0.200 * [taylor]: Taking taylor expansion of im in im
0.200 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.203 * [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
0.206 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.206 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.206 * [taylor]: Taking taylor expansion of re in im
0.206 * [backup-simplify]: Simplify re into re
0.206 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.206 * [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
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [backup-simplify]: Simplify (+ 0 1) into 1
0.208 * [backup-simplify]: Simplify (sqrt 1) into 1
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.210 * [taylor]: Taking taylor expansion of re in re
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.211 * [taylor]: Taking taylor expansion of im in re
0.211 * [backup-simplify]: Simplify im into im
0.211 * [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
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.215 * [taylor]: Taking taylor expansion of re in re
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.217 * [backup-simplify]: Simplify (sqrt 1) into 1
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.220 * [taylor]: Taking taylor expansion of 1 in im
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [taylor]: Taking taylor expansion of 0 in im
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.223 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.223 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.223 * [taylor]: Taking taylor expansion of 1/2 in im
0.223 * [backup-simplify]: Simplify 1/2 into 1/2
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.223 * [taylor]: Taking taylor expansion of im in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in im
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.230 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.230 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.230 * [taylor]: Taking taylor expansion of re in im
0.230 * [backup-simplify]: Simplify re into re
0.230 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.230 * [taylor]: Taking taylor expansion of im in im
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [backup-simplify]: Simplify (+ 0 1) into 1
0.231 * [backup-simplify]: Simplify (sqrt 1) into 1
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.233 * [taylor]: Taking taylor expansion of im in re
0.233 * [backup-simplify]: Simplify im into im
0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.234 * [backup-simplify]: Simplify (+ 1 0) into 1
0.234 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.235 * [taylor]: Taking taylor expansion of re in re
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.239 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.239 * [taylor]: Taking taylor expansion of im in re
0.239 * [backup-simplify]: Simplify im into im
0.239 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (+ 1 0) into 1
0.240 * [backup-simplify]: Simplify (sqrt 1) into 1
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.241 * [taylor]: Taking taylor expansion of 1 in im
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [taylor]: Taking taylor expansion of 0 in im
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.244 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.244 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.244 * [taylor]: Taking taylor expansion of 1/2 in im
0.244 * [backup-simplify]: Simplify 1/2 into 1/2
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.244 * [taylor]: Taking taylor expansion of im in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
0.249 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.249 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.249 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.249 * [taylor]: Taking taylor expansion of re in im
0.249 * [backup-simplify]: Simplify re into re
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.249 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.249 * [taylor]: Taking taylor expansion of im in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.249 * [taylor]: Taking taylor expansion of re in im
0.249 * [backup-simplify]: Simplify re into re
0.249 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.249 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.249 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.249 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.250 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.250 * [taylor]: Taking taylor expansion of im in re
0.250 * [backup-simplify]: Simplify im into im
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.250 * [taylor]: Taking taylor expansion of re in re
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.250 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.251 * [taylor]: Taking taylor expansion of im in re
0.251 * [backup-simplify]: Simplify im into im
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.251 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 im) into im
0.251 * [taylor]: Taking taylor expansion of im in im
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [taylor]: Taking taylor expansion of 1 in im
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.253 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.253 * [taylor]: Taking taylor expansion of 1/2 in im
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.253 * [taylor]: Taking taylor expansion of im in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.257 * [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)))))
0.257 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.258 * [taylor]: Taking taylor expansion of re in im
0.258 * [backup-simplify]: Simplify re into re
0.258 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.258 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.258 * [taylor]: Taking taylor expansion of re in im
0.258 * [backup-simplify]: Simplify re into re
0.258 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.258 * [taylor]: Taking taylor expansion of im in im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [backup-simplify]: Simplify (+ 0 1) into 1
0.259 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.262 * [taylor]: Taking taylor expansion of (/ 1 re) 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
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.263 * [taylor]: Taking taylor expansion of re in re
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* 1 1) into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.264 * [taylor]: Taking taylor expansion of im in re
0.264 * [backup-simplify]: Simplify im into im
0.264 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.265 * [backup-simplify]: Simplify (+ 1 0) into 1
0.265 * [backup-simplify]: Simplify (sqrt 1) into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.270 * [taylor]: Taking taylor expansion of im in re
0.270 * [backup-simplify]: Simplify im into im
0.270 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.271 * [backup-simplify]: Simplify (+ 1 0) into 1
0.271 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [backup-simplify]: Simplify (+ 1 1) into 2
0.274 * [taylor]: Taking taylor expansion of 2 in im
0.274 * [backup-simplify]: Simplify 2 into 2
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [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
0.276 * [backup-simplify]: Simplify 2 into 2
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.280 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.280 * [taylor]: Taking taylor expansion of 1/2 in im
0.280 * [backup-simplify]: Simplify 1/2 into 1/2
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.280 * [taylor]: Taking taylor expansion of im in im
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in im
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.292 * [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))
0.292 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.292 * [taylor]: Taking taylor expansion of im in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [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 (+ 0 1) into 1
0.294 * [backup-simplify]: Simplify (sqrt 1) into 1
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.297 * [taylor]: Taking taylor expansion of re in im
0.297 * [backup-simplify]: Simplify re into re
0.297 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.297 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.298 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.298 * [taylor]: Taking taylor expansion of im in re
0.299 * [backup-simplify]: Simplify im into im
0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.299 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.299 * [backup-simplify]: Simplify (+ 1 0) into 1
0.300 * [backup-simplify]: Simplify (sqrt 1) into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.302 * [taylor]: Taking taylor expansion of re in re
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.304 * [taylor]: Taking taylor expansion of im in re
0.304 * [backup-simplify]: Simplify im into im
0.304 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.305 * [backup-simplify]: Simplify (+ 1 0) into 1
0.305 * [backup-simplify]: Simplify (sqrt 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.308 * [taylor]: Taking taylor expansion of re in re
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (- 1) into -1
0.309 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (- 0) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (- 0) into 0
0.316 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.316 * [taylor]: Taking taylor expansion of 1/2 in im
0.316 * [backup-simplify]: Simplify 1/2 into 1/2
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (- 0) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.328 * [backup-simplify]: Simplify (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.328 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.328 * [taylor]: Taking taylor expansion of 2.0 in im
0.328 * [backup-simplify]: Simplify 2.0 into 2.0
0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.329 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.329 * [taylor]: Taking taylor expansion of re in im
0.329 * [backup-simplify]: Simplify re into re
0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.329 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.330 * [taylor]: Taking taylor expansion of im in im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.330 * [taylor]: Taking taylor expansion of re in im
0.330 * [backup-simplify]: Simplify re into re
0.330 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.330 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.330 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.330 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.331 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.331 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.332 * [taylor]: Taking taylor expansion of 2.0 in re
0.332 * [backup-simplify]: Simplify 2.0 into 2.0
0.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.333 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.333 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.333 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.333 * [taylor]: Taking taylor expansion of im in re
0.333 * [backup-simplify]: Simplify im into im
0.333 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.333 * [taylor]: Taking taylor expansion of re in re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.333 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.334 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.334 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 im) into im
0.334 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.335 * [backup-simplify]: Simplify (+ 1 0) into 1
0.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.335 * [taylor]: Taking taylor expansion of 2.0 in re
0.335 * [backup-simplify]: Simplify 2.0 into 2.0
0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.336 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.336 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.336 * [taylor]: Taking taylor expansion of im in re
0.336 * [backup-simplify]: Simplify im into im
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.337 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.337 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 im) into im
0.338 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.338 * [backup-simplify]: Simplify (+ 1 0) into 1
0.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.339 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.339 * [taylor]: Taking taylor expansion of 2.0 in im
0.339 * [backup-simplify]: Simplify 2.0 into 2.0
0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.340 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.340 * [taylor]: Taking taylor expansion of im in im
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (sqrt 0) into 0
0.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.343 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.343 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.343 * [taylor]: Taking taylor expansion of 1/2 in im
0.343 * [backup-simplify]: Simplify 1/2 into 1/2
0.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.344 * [taylor]: Taking taylor expansion of 2.0 in im
0.344 * [backup-simplify]: Simplify 2.0 into 2.0
0.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.345 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.345 * [taylor]: Taking taylor expansion of im in im
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [backup-simplify]: Simplify (sqrt 0) into 0
0.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.350 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.357 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.359 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.361 * [backup-simplify]: Simplify (+ 0 1) into 1
0.362 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.362 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.363 * [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))))
0.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.364 * [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)))))
0.365 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.365 * [taylor]: Taking taylor expansion of 1/8 in im
0.365 * [backup-simplify]: Simplify 1/8 into 1/8
0.365 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.365 * [taylor]: Taking taylor expansion of 2.0 in im
0.365 * [backup-simplify]: Simplify 2.0 into 2.0
0.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.366 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.366 * [taylor]: Taking taylor expansion of im in im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (sqrt 0) into 0
0.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.384 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.390 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [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)))))))
0.396 * [backup-simplify]: Simplify (sqrt (* (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.396 * [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
0.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.396 * [taylor]: Taking taylor expansion of 2.0 in im
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.397 * [taylor]: Taking taylor expansion of re in im
0.397 * [backup-simplify]: Simplify re into re
0.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.397 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.397 * [taylor]: Taking taylor expansion of re in im
0.397 * [backup-simplify]: Simplify re into re
0.397 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.398 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.398 * [taylor]: Taking taylor expansion of im in im
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [backup-simplify]: Simplify (+ 0 1) into 1
0.400 * [backup-simplify]: Simplify (sqrt 1) into 1
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.401 * [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
0.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.404 * [taylor]: Taking taylor expansion of 2.0 in re
0.404 * [backup-simplify]: Simplify 2.0 into 2.0
0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.405 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.405 * [taylor]: Taking taylor expansion of re in re
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.406 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.406 * [taylor]: Taking taylor expansion of re in re
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.407 * [taylor]: Taking taylor expansion of im in re
0.407 * [backup-simplify]: Simplify im into im
0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.408 * [backup-simplify]: Simplify (+ 1 0) into 1
0.408 * [backup-simplify]: Simplify (sqrt 1) into 1
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.411 * [backup-simplify]: Simplify (+ 1 1) into 2
0.411 * [backup-simplify]: Simplify (sqrt 0) into 0
0.412 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.412 * [taylor]: Taking taylor expansion of 2.0 in re
0.413 * [backup-simplify]: Simplify 2.0 into 2.0
0.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.414 * [taylor]: Taking taylor expansion of re in re
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.414 * [taylor]: Taking taylor expansion of re in re
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.415 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.415 * [taylor]: Taking taylor expansion of im in re
0.415 * [backup-simplify]: Simplify im into im
0.415 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.416 * [backup-simplify]: Simplify (sqrt 1) into 1
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.419 * [backup-simplify]: Simplify (+ 1 1) into 2
0.419 * [backup-simplify]: Simplify (sqrt 0) into 0
0.421 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.421 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.421 * [taylor]: Taking taylor expansion of 0 in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.424 * [taylor]: Taking taylor expansion of +nan.0 in im
0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.424 * [taylor]: Taking taylor expansion of 2.0 in im
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.434 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.434 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.434 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.434 * [taylor]: Taking taylor expansion of +nan.0 in im
0.434 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.434 * [taylor]: Taking taylor expansion of 2.0 in im
0.434 * [backup-simplify]: Simplify 2.0 into 2.0
0.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.437 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.439 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.439 * [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
0.441 * [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))
0.446 * [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
0.452 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [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
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.457 * [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)))
0.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.462 * [backup-simplify]: Simplify (- 0) into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [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)))
0.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.469 * [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))))))
0.469 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.469 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.469 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.469 * [taylor]: Taking taylor expansion of +nan.0 in im
0.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.469 * [taylor]: Taking taylor expansion of 2.0 in im
0.470 * [backup-simplify]: Simplify 2.0 into 2.0
0.470 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.470 * [taylor]: Taking taylor expansion of +nan.0 in im
0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.470 * [taylor]: Taking taylor expansion of 2.0 in im
0.470 * [backup-simplify]: Simplify 2.0 into 2.0
0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.471 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.471 * [taylor]: Taking taylor expansion of im in im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify (* 1 1) into 1
0.472 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.473 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.477 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.483 * [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))))))))
0.483 * [backup-simplify]: Simplify (sqrt (* (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.483 * [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
0.484 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.484 * [taylor]: Taking taylor expansion of 2.0 in im
0.484 * [backup-simplify]: Simplify 2.0 into 2.0
0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.484 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.484 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.484 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.484 * [taylor]: Taking taylor expansion of re in im
0.484 * [backup-simplify]: Simplify re into re
0.484 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.485 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.485 * [taylor]: Taking taylor expansion of im in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [backup-simplify]: Simplify (+ 0 1) into 1
0.486 * [backup-simplify]: Simplify (sqrt 1) into 1
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.487 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.487 * [taylor]: Taking taylor expansion of re in im
0.487 * [backup-simplify]: Simplify re into re
0.487 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (sqrt 0) into 0
0.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.489 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.489 * [taylor]: Taking taylor expansion of 2.0 in re
0.489 * [backup-simplify]: Simplify 2.0 into 2.0
0.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.489 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.489 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.489 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.489 * [taylor]: Taking taylor expansion of re in re
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.490 * [taylor]: Taking taylor expansion of im in re
0.490 * [backup-simplify]: Simplify im into im
0.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.491 * [backup-simplify]: Simplify (+ 1 0) into 1
0.491 * [backup-simplify]: Simplify (sqrt 1) into 1
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.493 * [taylor]: Taking taylor expansion of re in re
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [backup-simplify]: Simplify (- 1) into -1
0.495 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- 0) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (- 0) into 0
0.501 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.502 * [backup-simplify]: Simplify (sqrt 0) into 0
0.502 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.502 * [taylor]: Taking taylor expansion of 2.0 in re
0.503 * [backup-simplify]: Simplify 2.0 into 2.0
0.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.504 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.504 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.504 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.504 * [taylor]: Taking taylor expansion of re in re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.505 * [taylor]: Taking taylor expansion of im in re
0.505 * [backup-simplify]: Simplify im into im
0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.506 * [backup-simplify]: Simplify (+ 1 0) into 1
0.506 * [backup-simplify]: Simplify (sqrt 1) into 1
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.509 * [taylor]: Taking taylor expansion of re in re
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.512 * [backup-simplify]: Simplify (- 1) into -1
0.512 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.518 * [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))
0.519 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.519 * [taylor]: Taking taylor expansion of 0 in im
0.519 * [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
0.519 * [backup-simplify]: Simplify 2.0 into 2.0
0.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.523 * [backup-simplify]: Simplify (- 0) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.527 * [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))))
0.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.528 * [taylor]: Taking taylor expansion of +nan.0 in im
0.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.528 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.528 * [taylor]: Taking taylor expansion of 2.0 in im
0.528 * [backup-simplify]: Simplify 2.0 into 2.0
0.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.528 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.528 * [taylor]: Taking taylor expansion of im in im
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.529 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.539 * [backup-simplify]: Simplify (- 0) into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.543 * [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)))))
0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.545 * [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))))))
0.545 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.545 * [taylor]: Taking taylor expansion of +nan.0 in im
0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.545 * [taylor]: Taking taylor expansion of 2.0 in im
0.545 * [backup-simplify]: Simplify 2.0 into 2.0
0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.546 * [taylor]: Taking taylor expansion of im in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.547 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.547 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.547 * [taylor]: Taking taylor expansion of +nan.0 in im
0.547 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.547 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.547 * [taylor]: Taking taylor expansion of 2.0 in im
0.547 * [backup-simplify]: Simplify 2.0 into 2.0
0.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.548 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.548 * [taylor]: Taking taylor expansion of im in im
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (* 1 1) into 1
0.550 * [backup-simplify]: Simplify (* 1 1) into 1
0.550 * [backup-simplify]: Simplify (* 1 1) into 1
0.551 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.592 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1)
0.593 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.593 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.593 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.593 * [taylor]: Taking taylor expansion of im in im
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.593 * [taylor]: Taking taylor expansion of re in im
0.593 * [backup-simplify]: Simplify re into re
0.593 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.593 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.593 * [taylor]: Taking taylor expansion of im in re
0.593 * [backup-simplify]: Simplify im into im
0.593 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.593 * [taylor]: Taking taylor expansion of re in re
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.593 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.593 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.593 * [taylor]: Taking taylor expansion of im in re
0.593 * [backup-simplify]: Simplify im into im
0.593 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.593 * [taylor]: Taking taylor expansion of re in re
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 1 into 1
0.594 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.594 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.594 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.594 * [taylor]: Taking taylor expansion of im in im
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 1 into 1
0.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in im
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.595 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify (+ 0 1) into 1
0.596 * [taylor]: Taking taylor expansion of 1 in im
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.598 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [taylor]: Taking taylor expansion of 0 in im
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.601 * [backup-simplify]: Simplify (+ 0 0) into 0
0.601 * [taylor]: Taking taylor expansion of 0 in im
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.602 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.602 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.602 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.602 * [taylor]: Taking taylor expansion of re in im
0.602 * [backup-simplify]: Simplify re into re
0.603 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.603 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.603 * [taylor]: Taking taylor expansion of im in im
0.603 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify 1 into 1
0.603 * [backup-simplify]: Simplify (* 1 1) into 1
0.604 * [backup-simplify]: Simplify (/ 1 1) into 1
0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.604 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.604 * [taylor]: Taking taylor expansion of re in re
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 1 into 1
0.604 * [backup-simplify]: Simplify (* 1 1) into 1
0.605 * [backup-simplify]: Simplify (/ 1 1) into 1
0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.605 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.605 * [taylor]: Taking taylor expansion of im in re
0.605 * [backup-simplify]: Simplify im into im
0.605 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.605 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.605 * [taylor]: Taking taylor expansion of re in re
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (* 1 1) into 1
0.606 * [backup-simplify]: Simplify (/ 1 1) into 1
0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.606 * [taylor]: Taking taylor expansion of im in re
0.606 * [backup-simplify]: Simplify im into im
0.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.607 * [backup-simplify]: Simplify (+ 1 0) into 1
0.607 * [taylor]: Taking taylor expansion of 1 in im
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [taylor]: Taking taylor expansion of 0 in im
0.609 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.611 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.611 * [taylor]: Taking taylor expansion of im in im
0.611 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify (* 1 1) into 1
0.612 * [backup-simplify]: Simplify (/ 1 1) into 1
0.612 * [backup-simplify]: Simplify 1 into 1
0.612 * [backup-simplify]: Simplify 1 into 1
0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [taylor]: Taking taylor expansion of 0 in im
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.619 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.620 * [taylor]: Taking taylor expansion of 0 in im
0.620 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.623 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.623 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.623 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.623 * [taylor]: Taking taylor expansion of re in im
0.623 * [backup-simplify]: Simplify re into re
0.623 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.623 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.623 * [taylor]: Taking taylor expansion of im in im
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (* 1 1) into 1
0.624 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.624 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.624 * [taylor]: Taking taylor expansion of re in re
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (/ 1 1) into 1
0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.625 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.625 * [taylor]: Taking taylor expansion of im in re
0.625 * [backup-simplify]: Simplify im into im
0.625 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.625 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.626 * [taylor]: Taking taylor expansion of re in re
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (* 1 1) into 1
0.626 * [backup-simplify]: Simplify (/ 1 1) into 1
0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.626 * [taylor]: Taking taylor expansion of im in re
0.627 * [backup-simplify]: Simplify im into im
0.627 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.627 * [backup-simplify]: Simplify (+ 1 0) into 1
0.627 * [taylor]: Taking taylor expansion of 1 in im
0.627 * [backup-simplify]: Simplify 1 into 1
0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.629 * [taylor]: Taking taylor expansion of 0 in im
0.629 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.631 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.631 * [taylor]: Taking taylor expansion of im in im
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify (* 1 1) into 1
0.632 * [backup-simplify]: Simplify (/ 1 1) into 1
0.632 * [backup-simplify]: Simplify 1 into 1
0.632 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.635 * [backup-simplify]: Simplify (+ 0 0) into 0
0.635 * [taylor]: Taking taylor expansion of 0 in im
0.635 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.643 * [backup-simplify]: Simplify (+ 0 0) into 0
0.643 * [taylor]: Taking taylor expansion of 0 in im
0.643 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.646 * * * [progress]: simplifying candidates
0.648 * [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)
  (log (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))))
  (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (* (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) 2.0))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +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
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.650 * * [simplify]: iteration 0: 108 enodes
0.688 * * [simplify]: iteration 1: 279 enodes
0.815 * * [simplify]: iteration 2: 1316 enodes
1.177 * * [simplify]: iteration complete: 5001 enodes
1.177 * * [simplify]: Extracting #0: cost 55 inf + 0
1.178 * * [simplify]: Extracting #1: cost 377 inf + 10
1.193 * * [simplify]: Extracting #2: cost 1745 inf + 249
1.201 * * [simplify]: Extracting #3: cost 1360 inf + 8423
1.209 * * [simplify]: Extracting #4: cost 248 inf + 19318
1.217 * * [simplify]: Extracting #5: cost 74 inf + 21359
1.224 * * [simplify]: Extracting #6: cost 11 inf + 21920
1.232 * * [simplify]: Extracting #7: cost 0 inf + 22001
1.242 * [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 (+ (* (* im im) (- (* 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 (+ re (sqrt (+ (* im im) (* re re)))))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ re (sqrt (+ (* im im) (* 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))))) (+ (* im im) (* re re)))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (pow (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)) 3)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re))))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (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))
  (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (* (- +nan.0) (* (* re re) (sqrt 2.0))) (* (* (sqrt 2.0) +nan.0) (- im re)))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re))) (- (* (sqrt 2.0) +nan.0)))
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
1.242 * * * [progress]: adding candidates to table
1.553 * * [progress]: iteration 2 / 4
1.554 * * * [progress]: picking best candidate
1.600 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) 2.0))))>
1.600 * * * [progress]: localizing error
1.629 * * * [progress]: generating rewritten candidates
1.629 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1)
1.636 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 2 1)
1.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1 1)
1.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
1.771 * * * [progress]: generating series expansions
1.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1)
1.771 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.771 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.771 * [taylor]: Taking taylor expansion of im in re
1.771 * [backup-simplify]: Simplify im into im
1.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.771 * [taylor]: Taking taylor expansion of re in re
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify 1 into 1
1.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.772 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.772 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.773 * [backup-simplify]: Simplify (+ 0 0) into 0
1.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.773 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.773 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.773 * [taylor]: Taking taylor expansion of im in im
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.773 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.773 * [taylor]: Taking taylor expansion of re in im
1.773 * [backup-simplify]: Simplify re into re
1.773 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.773 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.774 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.774 * [backup-simplify]: Simplify (+ 0 0) into 0
1.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.774 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.774 * [taylor]: Taking taylor expansion of im in im
1.774 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify 1 into 1
1.774 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.774 * [taylor]: Taking taylor expansion of re in im
1.774 * [backup-simplify]: Simplify re into re
1.775 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.775 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.775 * [backup-simplify]: Simplify (+ 0 0) into 0
1.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.776 * [taylor]: Taking taylor expansion of re in re
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [taylor]: Taking taylor expansion of 0 in re
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify (* 1 1) into 1
1.777 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.777 * [backup-simplify]: Simplify (+ 1 0) into 1
1.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.778 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.778 * [taylor]: Taking taylor expansion of 1/2 in re
1.778 * [backup-simplify]: Simplify 1/2 into 1/2
1.778 * [taylor]: Taking taylor expansion of re in re
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.780 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.780 * [backup-simplify]: Simplify (+ 0 0) into 0
1.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.780 * [taylor]: Taking taylor expansion of 0 in re
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.781 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.781 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.781 * [taylor]: Taking taylor expansion of re in re
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 1 into 1
1.782 * [backup-simplify]: Simplify (* 1 1) into 1
1.782 * [backup-simplify]: Simplify (/ 1 1) into 1
1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.782 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.782 * [taylor]: Taking taylor expansion of im in re
1.782 * [backup-simplify]: Simplify im into im
1.782 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.782 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.782 * [backup-simplify]: Simplify (+ 1 0) into 1
1.783 * [backup-simplify]: Simplify (sqrt 1) into 1
1.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.785 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.786 * [taylor]: Taking taylor expansion of re in im
1.786 * [backup-simplify]: Simplify re into re
1.786 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.786 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.786 * [taylor]: Taking taylor expansion of im in im
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 1 into 1
1.787 * [backup-simplify]: Simplify (* 1 1) into 1
1.787 * [backup-simplify]: Simplify (/ 1 1) into 1
1.787 * [backup-simplify]: Simplify (+ 0 1) into 1
1.787 * [backup-simplify]: Simplify (sqrt 1) into 1
1.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.789 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.789 * [taylor]: Taking taylor expansion of re in im
1.789 * [backup-simplify]: Simplify re into re
1.789 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.789 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.789 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.789 * [taylor]: Taking taylor expansion of im in im
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [backup-simplify]: Simplify (* 1 1) into 1
1.790 * [backup-simplify]: Simplify (/ 1 1) into 1
1.790 * [backup-simplify]: Simplify (+ 0 1) into 1
1.790 * [backup-simplify]: Simplify (sqrt 1) into 1
1.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.792 * [taylor]: Taking taylor expansion of 1 in re
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [taylor]: Taking taylor expansion of 0 in re
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.794 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.794 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.794 * [taylor]: Taking taylor expansion of 1/2 in re
1.794 * [backup-simplify]: Simplify 1/2 into 1/2
1.794 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.794 * [taylor]: Taking taylor expansion of re in re
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 1 into 1
1.794 * [backup-simplify]: Simplify (* 1 1) into 1
1.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.797 * [backup-simplify]: Simplify (+ 0 0) into 0
1.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.797 * [taylor]: Taking taylor expansion of 0 in re
1.797 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
1.799 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.799 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.799 * [taylor]: Taking taylor expansion of re in re
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (* 1 1) into 1
1.799 * [backup-simplify]: Simplify (/ 1 1) into 1
1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.799 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.799 * [taylor]: Taking taylor expansion of im in re
1.799 * [backup-simplify]: Simplify im into im
1.799 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.800 * [backup-simplify]: Simplify (+ 1 0) into 1
1.800 * [backup-simplify]: Simplify (sqrt 1) into 1
1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify (+ 0 0) into 0
1.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.802 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.802 * [taylor]: Taking taylor expansion of re in im
1.802 * [backup-simplify]: Simplify re into re
1.802 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.802 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.802 * [taylor]: Taking taylor expansion of im in im
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (* 1 1) into 1
1.802 * [backup-simplify]: Simplify (/ 1 1) into 1
1.803 * [backup-simplify]: Simplify (+ 0 1) into 1
1.803 * [backup-simplify]: Simplify (sqrt 1) into 1
1.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.804 * [backup-simplify]: Simplify (+ 0 0) into 0
1.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.804 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.804 * [taylor]: Taking taylor expansion of re in im
1.804 * [backup-simplify]: Simplify re into re
1.804 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.805 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.805 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.805 * [taylor]: Taking taylor expansion of im in im
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 1 into 1
1.805 * [backup-simplify]: Simplify (* 1 1) into 1
1.805 * [backup-simplify]: Simplify (/ 1 1) into 1
1.805 * [backup-simplify]: Simplify (+ 0 1) into 1
1.806 * [backup-simplify]: Simplify (sqrt 1) into 1
1.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.808 * [taylor]: Taking taylor expansion of 1 in re
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [taylor]: Taking taylor expansion of 0 in re
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.809 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.811 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.811 * [taylor]: Taking taylor expansion of 1/2 in re
1.811 * [backup-simplify]: Simplify 1/2 into 1/2
1.811 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.811 * [taylor]: Taking taylor expansion of re in re
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify 1 into 1
1.811 * [backup-simplify]: Simplify (* 1 1) into 1
1.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.816 * [taylor]: Taking taylor expansion of 0 in re
1.816 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
1.819 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 2 1)
1.819 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.819 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.819 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.819 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.819 * [taylor]: Taking taylor expansion of im in re
1.819 * [backup-simplify]: Simplify im into im
1.819 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.819 * [taylor]: Taking taylor expansion of re in re
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 1 into 1
1.819 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.819 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.820 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.820 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.820 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.820 * [taylor]: Taking taylor expansion of im in im
1.820 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify 1 into 1
1.820 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.820 * [taylor]: Taking taylor expansion of re in im
1.820 * [backup-simplify]: Simplify re into re
1.820 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.821 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.821 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.821 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.821 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.821 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.821 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.821 * [taylor]: Taking taylor expansion of im in im
1.821 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify 1 into 1
1.821 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.821 * [taylor]: Taking taylor expansion of re in im
1.822 * [backup-simplify]: Simplify re into re
1.822 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.822 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.822 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.822 * [taylor]: Taking taylor expansion of re in re
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [taylor]: Taking taylor expansion of 0 in re
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [backup-simplify]: Simplify (* 1 1) into 1
1.823 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.824 * [backup-simplify]: Simplify (+ 1 0) into 1
1.824 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.824 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.825 * [taylor]: Taking taylor expansion of 1/2 in re
1.825 * [backup-simplify]: Simplify 1/2 into 1/2
1.825 * [taylor]: Taking taylor expansion of re in re
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.827 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.828 * [taylor]: Taking taylor expansion of 0 in re
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.829 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.829 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.829 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.829 * [taylor]: Taking taylor expansion of re in re
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 1 into 1
1.830 * [backup-simplify]: Simplify (* 1 1) into 1
1.830 * [backup-simplify]: Simplify (/ 1 1) into 1
1.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.830 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.830 * [taylor]: Taking taylor expansion of im in re
1.830 * [backup-simplify]: Simplify im into im
1.830 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.831 * [backup-simplify]: Simplify (+ 1 0) into 1
1.831 * [backup-simplify]: Simplify (sqrt 1) into 1
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.833 * [backup-simplify]: Simplify (+ 0 0) into 0
1.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.833 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.833 * [taylor]: Taking taylor expansion of re in im
1.833 * [backup-simplify]: Simplify re into re
1.833 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.834 * [taylor]: Taking taylor expansion of im in im
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 1 into 1
1.834 * [backup-simplify]: Simplify (* 1 1) into 1
1.834 * [backup-simplify]: Simplify (/ 1 1) into 1
1.835 * [backup-simplify]: Simplify (+ 0 1) into 1
1.835 * [backup-simplify]: Simplify (sqrt 1) into 1
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.836 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.836 * [taylor]: Taking taylor expansion of re in im
1.836 * [backup-simplify]: Simplify re into re
1.836 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.837 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.837 * [taylor]: Taking taylor expansion of im in im
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.837 * [backup-simplify]: Simplify (* 1 1) into 1
1.837 * [backup-simplify]: Simplify (/ 1 1) into 1
1.837 * [backup-simplify]: Simplify (+ 0 1) into 1
1.838 * [backup-simplify]: Simplify (sqrt 1) into 1
1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.839 * [taylor]: Taking taylor expansion of 1 in re
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [taylor]: Taking taylor expansion of 0 in re
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.840 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.841 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.841 * [taylor]: Taking taylor expansion of 1/2 in re
1.841 * [backup-simplify]: Simplify 1/2 into 1/2
1.841 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.841 * [taylor]: Taking taylor expansion of re in re
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify (* 1 1) into 1
1.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.845 * [taylor]: Taking taylor expansion of 0 in re
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
1.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.847 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.847 * [taylor]: Taking taylor expansion of re in re
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 1 into 1
1.847 * [backup-simplify]: Simplify (* 1 1) into 1
1.847 * [backup-simplify]: Simplify (/ 1 1) into 1
1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.847 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.847 * [taylor]: Taking taylor expansion of im in re
1.847 * [backup-simplify]: Simplify im into im
1.847 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.848 * [backup-simplify]: Simplify (+ 1 0) into 1
1.848 * [backup-simplify]: Simplify (sqrt 1) into 1
1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.849 * [backup-simplify]: Simplify (+ 0 0) into 0
1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.849 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.849 * [taylor]: Taking taylor expansion of re in im
1.849 * [backup-simplify]: Simplify re into re
1.849 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.849 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.850 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.850 * [taylor]: Taking taylor expansion of im in im
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (/ 1 1) into 1
1.850 * [backup-simplify]: Simplify (+ 0 1) into 1
1.851 * [backup-simplify]: Simplify (sqrt 1) into 1
1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.852 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.852 * [taylor]: Taking taylor expansion of re in im
1.852 * [backup-simplify]: Simplify re into re
1.852 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.852 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.852 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.852 * [taylor]: Taking taylor expansion of im in im
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.853 * [backup-simplify]: Simplify (* 1 1) into 1
1.853 * [backup-simplify]: Simplify (/ 1 1) into 1
1.853 * [backup-simplify]: Simplify (+ 0 1) into 1
1.853 * [backup-simplify]: Simplify (sqrt 1) into 1
1.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.854 * [backup-simplify]: Simplify (+ 0 0) into 0
1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.855 * [taylor]: Taking taylor expansion of 1 in re
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [taylor]: Taking taylor expansion of 0 in re
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.856 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.857 * [taylor]: Taking taylor expansion of 1/2 in re
1.857 * [backup-simplify]: Simplify 1/2 into 1/2
1.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.857 * [taylor]: Taking taylor expansion of re in re
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.860 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.861 * [taylor]: Taking taylor expansion of 0 in re
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
1.862 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1 1)
1.862 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.862 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.862 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.862 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.862 * [taylor]: Taking taylor expansion of im in re
1.862 * [backup-simplify]: Simplify im into im
1.862 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.862 * [taylor]: Taking taylor expansion of re in re
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.862 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.863 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.863 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.863 * [taylor]: Taking taylor expansion of im in im
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 1 into 1
1.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.863 * [taylor]: Taking taylor expansion of re in im
1.863 * [backup-simplify]: Simplify re into re
1.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.863 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.863 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.863 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.864 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.864 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.864 * [taylor]: Taking taylor expansion of im in im
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.864 * [taylor]: Taking taylor expansion of re in im
1.864 * [backup-simplify]: Simplify re into re
1.864 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.864 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.864 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.864 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.865 * [taylor]: Taking taylor expansion of re in re
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [taylor]: Taking taylor expansion of 0 in re
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify (* 1 1) into 1
1.865 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.865 * [backup-simplify]: Simplify (+ 1 0) into 1
1.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.866 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.866 * [taylor]: Taking taylor expansion of 1/2 in re
1.866 * [backup-simplify]: Simplify 1/2 into 1/2
1.866 * [taylor]: Taking taylor expansion of re in re
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.868 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.868 * [taylor]: Taking taylor expansion of 0 in re
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.869 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.869 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.869 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.869 * [taylor]: Taking taylor expansion of re in re
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 1 into 1
1.870 * [backup-simplify]: Simplify (* 1 1) into 1
1.870 * [backup-simplify]: Simplify (/ 1 1) into 1
1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.870 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.870 * [taylor]: Taking taylor expansion of im in re
1.870 * [backup-simplify]: Simplify im into im
1.870 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.871 * [backup-simplify]: Simplify (+ 1 0) into 1
1.871 * [backup-simplify]: Simplify (sqrt 1) into 1
1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (+ 0 0) into 0
1.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.874 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.874 * [taylor]: Taking taylor expansion of re in im
1.874 * [backup-simplify]: Simplify re into re
1.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.874 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.874 * [taylor]: Taking taylor expansion of im in im
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (* 1 1) into 1
1.875 * [backup-simplify]: Simplify (/ 1 1) into 1
1.875 * [backup-simplify]: Simplify (+ 0 1) into 1
1.876 * [backup-simplify]: Simplify (sqrt 1) into 1
1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.878 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.878 * [taylor]: Taking taylor expansion of re in im
1.878 * [backup-simplify]: Simplify re into re
1.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.879 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.879 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.879 * [taylor]: Taking taylor expansion of im in im
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (/ 1 1) into 1
1.880 * [backup-simplify]: Simplify (+ 0 1) into 1
1.880 * [backup-simplify]: Simplify (sqrt 1) into 1
1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.883 * [taylor]: Taking taylor expansion of 1 in re
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [taylor]: Taking taylor expansion of 0 in re
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.887 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.887 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.887 * [taylor]: Taking taylor expansion of 1/2 in re
1.887 * [backup-simplify]: Simplify 1/2 into 1/2
1.887 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.887 * [taylor]: Taking taylor expansion of re in re
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 1 into 1
1.887 * [backup-simplify]: Simplify (* 1 1) into 1
1.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.893 * [taylor]: Taking taylor expansion of 0 in re
1.893 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
1.898 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.898 * [taylor]: Taking taylor expansion of re in re
1.898 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify 1 into 1
1.898 * [backup-simplify]: Simplify (* 1 1) into 1
1.899 * [backup-simplify]: Simplify (/ 1 1) into 1
1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.899 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.899 * [taylor]: Taking taylor expansion of im in re
1.899 * [backup-simplify]: Simplify im into im
1.899 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.899 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.900 * [backup-simplify]: Simplify (+ 1 0) into 1
1.900 * [backup-simplify]: Simplify (sqrt 1) into 1
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.903 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.903 * [taylor]: Taking taylor expansion of re in im
1.903 * [backup-simplify]: Simplify re into re
1.903 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.903 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.903 * [taylor]: Taking taylor expansion of im in im
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.904 * [backup-simplify]: Simplify (* 1 1) into 1
1.904 * [backup-simplify]: Simplify (/ 1 1) into 1
1.904 * [backup-simplify]: Simplify (+ 0 1) into 1
1.905 * [backup-simplify]: Simplify (sqrt 1) into 1
1.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.906 * [backup-simplify]: Simplify (+ 0 0) into 0
1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.907 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.907 * [taylor]: Taking taylor expansion of re in im
1.907 * [backup-simplify]: Simplify re into re
1.907 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.907 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.907 * [taylor]: Taking taylor expansion of im in im
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 1 into 1
1.908 * [backup-simplify]: Simplify (* 1 1) into 1
1.908 * [backup-simplify]: Simplify (/ 1 1) into 1
1.908 * [backup-simplify]: Simplify (+ 0 1) into 1
1.908 * [backup-simplify]: Simplify (sqrt 1) into 1
1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.910 * [taylor]: Taking taylor expansion of 1 in re
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [taylor]: Taking taylor expansion of 0 in re
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.911 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.912 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.912 * [taylor]: Taking taylor expansion of 1/2 in re
1.912 * [backup-simplify]: Simplify 1/2 into 1/2
1.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.912 * [taylor]: Taking taylor expansion of re in re
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.916 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.916 * [taylor]: Taking taylor expansion of 0 in re
1.916 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
1.918 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.919 * [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))))
1.919 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0
1.919 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
1.919 * [taylor]: Taking taylor expansion of re in re
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 1 into 1
1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.919 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.919 * [taylor]: Taking taylor expansion of im in re
1.919 * [backup-simplify]: Simplify im into im
1.919 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.919 * [taylor]: Taking taylor expansion of re in re
1.919 * [backup-simplify]: Simplify 0 into 0
1.919 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.919 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.919 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.920 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
1.920 * [taylor]: Taking taylor expansion of re in im
1.920 * [backup-simplify]: Simplify re into re
1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.920 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.920 * [taylor]: Taking taylor expansion of im in im
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.920 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.920 * [taylor]: Taking taylor expansion of re in im
1.920 * [backup-simplify]: Simplify re into re
1.920 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.920 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.920 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.920 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.920 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
1.920 * [taylor]: Taking taylor expansion of re in im
1.920 * [backup-simplify]: Simplify re into re
1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.920 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.920 * [taylor]: Taking taylor expansion of im in im
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.921 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.921 * [taylor]: Taking taylor expansion of re in im
1.921 * [backup-simplify]: Simplify re into re
1.921 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.921 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.921 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.921 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.921 * [backup-simplify]: Simplify (+ 0 0) into 0
1.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.921 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
1.921 * [taylor]: Taking taylor expansion of (* 2 re) in re
1.921 * [taylor]: Taking taylor expansion of 2 in re
1.921 * [backup-simplify]: Simplify 2 into 2
1.921 * [taylor]: Taking taylor expansion of re in re
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.922 * [backup-simplify]: Simplify (* 2 0) into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.922 * [taylor]: Taking taylor expansion of 0 in re
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.922 * [backup-simplify]: Simplify 2 into 2
1.923 * [backup-simplify]: Simplify (* 1 1) into 1
1.923 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.923 * [backup-simplify]: Simplify (+ 1 0) into 1
1.924 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.924 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
1.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
1.924 * [taylor]: Taking taylor expansion of 1/2 in re
1.924 * [backup-simplify]: Simplify 1/2 into 1/2
1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.924 * [taylor]: Taking taylor expansion of re in re
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [backup-simplify]: Simplify (/ 1 1) into 1
1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.926 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [taylor]: Taking taylor expansion of 0 in re
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
1.929 * [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)))))
1.929 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
1.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.929 * [taylor]: Taking taylor expansion of re in re
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (/ 1 1) into 1
1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.929 * [taylor]: Taking taylor expansion of re in re
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.930 * [backup-simplify]: Simplify (* 1 1) into 1
1.930 * [backup-simplify]: Simplify (/ 1 1) into 1
1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.930 * [taylor]: Taking taylor expansion of im in re
1.930 * [backup-simplify]: Simplify im into im
1.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.931 * [backup-simplify]: Simplify (+ 1 0) into 1
1.931 * [backup-simplify]: Simplify (sqrt 1) into 1
1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
1.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.932 * [taylor]: Taking taylor expansion of re in im
1.932 * [backup-simplify]: Simplify re into re
1.932 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.933 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.933 * [taylor]: Taking taylor expansion of re in im
1.933 * [backup-simplify]: Simplify re into re
1.933 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.933 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.933 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.933 * [taylor]: Taking taylor expansion of im in im
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 1 into 1
1.933 * [backup-simplify]: Simplify (* 1 1) into 1
1.933 * [backup-simplify]: Simplify (/ 1 1) into 1
1.934 * [backup-simplify]: Simplify (+ 0 1) into 1
1.934 * [backup-simplify]: Simplify (sqrt 1) into 1
1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
1.935 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.935 * [taylor]: Taking taylor expansion of re in im
1.935 * [backup-simplify]: Simplify re into re
1.935 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.935 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.935 * [taylor]: Taking taylor expansion of re in im
1.936 * [backup-simplify]: Simplify re into re
1.936 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.936 * [taylor]: Taking taylor expansion of im in im
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.936 * [backup-simplify]: Simplify (* 1 1) into 1
1.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1.936 * [backup-simplify]: Simplify (+ 0 1) into 1
1.937 * [backup-simplify]: Simplify (sqrt 1) into 1
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.939 * [backup-simplify]: Simplify (+ 0 1) into 1
1.939 * [taylor]: Taking taylor expansion of 1 in re
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
1.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.939 * [taylor]: Taking taylor expansion of re in re
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (/ 1 1) into 1
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.942 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
1.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
1.942 * [taylor]: Taking taylor expansion of 1/2 in re
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.942 * [taylor]: Taking taylor expansion of re in re
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.943 * [backup-simplify]: Simplify (/ 1 1) into 1
1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.945 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [taylor]: Taking taylor expansion of 0 in re
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.948 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
1.950 * [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))
1.950 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
1.950 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.950 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.950 * [taylor]: Taking taylor expansion of re in re
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 1 into 1
1.950 * [backup-simplify]: Simplify (* 1 1) into 1
1.950 * [backup-simplify]: Simplify (/ 1 1) into 1
1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.951 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.951 * [taylor]: Taking taylor expansion of im in re
1.951 * [backup-simplify]: Simplify im into im
1.951 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.951 * [backup-simplify]: Simplify (+ 1 0) into 1
1.951 * [backup-simplify]: Simplify (sqrt 1) into 1
1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.953 * [taylor]: Taking taylor expansion of re in re
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (/ 1 1) into 1
1.953 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
1.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.953 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.953 * [taylor]: Taking taylor expansion of re in im
1.953 * [backup-simplify]: Simplify re into re
1.953 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.953 * [taylor]: Taking taylor expansion of im in im
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.954 * [backup-simplify]: Simplify (* 1 1) into 1
1.954 * [backup-simplify]: Simplify (/ 1 1) into 1
1.954 * [backup-simplify]: Simplify (+ 0 1) into 1
1.954 * [backup-simplify]: Simplify (sqrt 1) into 1
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.956 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.956 * [taylor]: Taking taylor expansion of re in im
1.956 * [backup-simplify]: Simplify re into re
1.956 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.956 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.956 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.956 * [taylor]: Taking taylor expansion of re in im
1.956 * [backup-simplify]: Simplify re into re
1.956 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.956 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.956 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.956 * [taylor]: Taking taylor expansion of im in im
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify (* 1 1) into 1
1.957 * [backup-simplify]: Simplify (/ 1 1) into 1
1.957 * [backup-simplify]: Simplify (+ 0 1) into 1
1.957 * [backup-simplify]: Simplify (sqrt 1) into 1
1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.959 * [taylor]: Taking taylor expansion of re in im
1.959 * [backup-simplify]: Simplify re into re
1.959 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.959 * [backup-simplify]: Simplify (+ 1 0) into 1
1.959 * [taylor]: Taking taylor expansion of 1 in re
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
1.959 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
1.959 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
1.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.959 * [taylor]: Taking taylor expansion of re in re
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.960 * [backup-simplify]: Simplify (/ 1 1) into 1
1.960 * [backup-simplify]: Simplify (- 1) into -1
1.960 * [backup-simplify]: Simplify -1 into -1
1.960 * [backup-simplify]: Simplify 1 into 1
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.961 * [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 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.962 * [backup-simplify]: Simplify (- 0) into 0
1.962 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
1.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow re 2)) in re
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
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (- 0) into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.967 * [backup-simplify]: Simplify (- 0) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.968 * [taylor]: Taking taylor expansion of 0 in re
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.969 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (- 0) into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im)
1.970 * * * [progress]: simplifying candidates
1.971 * [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)
1.972 * * [simplify]: iteration 0: 62 enodes
1.987 * * [simplify]: iteration 1: 164 enodes
2.057 * * [simplify]: iteration 2: 453 enodes
2.274 * * [simplify]: iteration 3: 1790 enodes
2.868 * * [simplify]: iteration complete: 5000 enodes
2.868 * * [simplify]: Extracting #0: cost 31 inf + 0
2.868 * * [simplify]: Extracting #1: cost 199 inf + 6
2.870 * * [simplify]: Extracting #2: cost 967 inf + 49
2.876 * * [simplify]: Extracting #3: cost 1664 inf + 541
2.883 * * [simplify]: Extracting #4: cost 1237 inf + 8514
2.890 * * [simplify]: Extracting #5: cost 395 inf + 25109
2.900 * * [simplify]: Extracting #6: cost 59 inf + 31819
2.909 * * [simplify]: Extracting #7: cost 10 inf + 32303
2.920 * * [simplify]: Extracting #8: cost 0 inf + 32373
2.931 * [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)
2.932 * * * [progress]: adding candidates to table
3.425 * * [progress]: iteration 3 / 4
3.425 * * * [progress]: picking best candidate
3.463 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>
3.463 * * * [progress]: localizing error
3.509 * * * [progress]: generating rewritten candidates
3.509 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
3.516 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
3.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
3.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
3.649 * * * [progress]: generating series expansions
3.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
3.649 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
3.649 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
3.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.649 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.649 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.649 * [taylor]: Taking taylor expansion of im in re
3.649 * [backup-simplify]: Simplify im into im
3.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.649 * [taylor]: Taking taylor expansion of re in re
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.650 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.650 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.651 * [taylor]: Taking taylor expansion of im in im
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.651 * [taylor]: Taking taylor expansion of re in im
3.651 * [backup-simplify]: Simplify re into re
3.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.651 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.651 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.652 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.652 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.652 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.652 * [taylor]: Taking taylor expansion of im in im
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.652 * [taylor]: Taking taylor expansion of re in im
3.652 * [backup-simplify]: Simplify re into re
3.652 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.653 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.653 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.653 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.653 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.653 * [taylor]: Taking taylor expansion of re in re
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify 1 into 1
3.653 * [backup-simplify]: Simplify 0 into 0
3.654 * [taylor]: Taking taylor expansion of 0 in re
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.654 * [backup-simplify]: Simplify (* 1 1) into 1
3.655 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.655 * [backup-simplify]: Simplify (+ 1 0) into 1
3.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.656 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.656 * [taylor]: Taking taylor expansion of 1/2 in re
3.656 * [backup-simplify]: Simplify 1/2 into 1/2
3.656 * [taylor]: Taking taylor expansion of re in re
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.659 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.659 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.659 * [taylor]: Taking taylor expansion of 0 in re
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
3.661 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.661 * [taylor]: Taking taylor expansion of re in re
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 1 into 1
3.662 * [backup-simplify]: Simplify (* 1 1) into 1
3.662 * [backup-simplify]: Simplify (/ 1 1) into 1
3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.662 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.662 * [taylor]: Taking taylor expansion of im in re
3.662 * [backup-simplify]: Simplify im into im
3.662 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.663 * [backup-simplify]: Simplify (+ 1 0) into 1
3.663 * [backup-simplify]: Simplify (sqrt 1) into 1
3.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.665 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.665 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.665 * [taylor]: Taking taylor expansion of re in im
3.665 * [backup-simplify]: Simplify re into re
3.665 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.666 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.666 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.666 * [taylor]: Taking taylor expansion of im in im
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (* 1 1) into 1
3.666 * [backup-simplify]: Simplify (/ 1 1) into 1
3.667 * [backup-simplify]: Simplify (+ 0 1) into 1
3.667 * [backup-simplify]: Simplify (sqrt 1) into 1
3.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.669 * [backup-simplify]: Simplify (+ 0 0) into 0
3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.670 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.670 * [taylor]: Taking taylor expansion of re in im
3.670 * [backup-simplify]: Simplify re into re
3.670 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.670 * [taylor]: Taking taylor expansion of im in im
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 1 into 1
3.671 * [backup-simplify]: Simplify (* 1 1) into 1
3.671 * [backup-simplify]: Simplify (/ 1 1) into 1
3.671 * [backup-simplify]: Simplify (+ 0 1) into 1
3.672 * [backup-simplify]: Simplify (sqrt 1) into 1
3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.674 * [taylor]: Taking taylor expansion of 1 in re
3.674 * [backup-simplify]: Simplify 1 into 1
3.674 * [taylor]: Taking taylor expansion of 0 in re
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.677 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.677 * [taylor]: Taking taylor expansion of 1/2 in re
3.677 * [backup-simplify]: Simplify 1/2 into 1/2
3.677 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.677 * [taylor]: Taking taylor expansion of re in re
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.678 * [backup-simplify]: Simplify (* 1 1) into 1
3.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify 0 into 0
3.679 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.682 * [backup-simplify]: Simplify (+ 0 0) into 0
3.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.682 * [taylor]: Taking taylor expansion of 0 in re
3.682 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
3.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.685 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.685 * [taylor]: Taking taylor expansion of re in re
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.685 * [backup-simplify]: Simplify (* 1 1) into 1
3.685 * [backup-simplify]: Simplify (/ 1 1) into 1
3.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.686 * [taylor]: Taking taylor expansion of im in re
3.686 * [backup-simplify]: Simplify im into im
3.686 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.686 * [backup-simplify]: Simplify (+ 1 0) into 1
3.686 * [backup-simplify]: Simplify (sqrt 1) into 1
3.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.688 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.689 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.689 * [taylor]: Taking taylor expansion of re in im
3.689 * [backup-simplify]: Simplify re into re
3.689 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.689 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.689 * [taylor]: Taking taylor expansion of im in im
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify 1 into 1
3.690 * [backup-simplify]: Simplify (* 1 1) into 1
3.690 * [backup-simplify]: Simplify (/ 1 1) into 1
3.690 * [backup-simplify]: Simplify (+ 0 1) into 1
3.691 * [backup-simplify]: Simplify (sqrt 1) into 1
3.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (+ 0 0) into 0
3.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.694 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.694 * [taylor]: Taking taylor expansion of re in im
3.694 * [backup-simplify]: Simplify re into re
3.694 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.694 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.694 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.694 * [taylor]: Taking taylor expansion of im in im
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 1 into 1
3.695 * [backup-simplify]: Simplify (* 1 1) into 1
3.695 * [backup-simplify]: Simplify (/ 1 1) into 1
3.696 * [backup-simplify]: Simplify (+ 0 1) into 1
3.696 * [backup-simplify]: Simplify (sqrt 1) into 1
3.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.698 * [taylor]: Taking taylor expansion of 1 in re
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [taylor]: Taking taylor expansion of 0 in re
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.701 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.702 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.702 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.702 * [taylor]: Taking taylor expansion of 1/2 in re
3.702 * [backup-simplify]: Simplify 1/2 into 1/2
3.702 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.702 * [taylor]: Taking taylor expansion of re in re
3.702 * [backup-simplify]: Simplify 0 into 0
3.702 * [backup-simplify]: Simplify 1 into 1
3.703 * [backup-simplify]: Simplify (* 1 1) into 1
3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.708 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.708 * [taylor]: Taking taylor expansion of 0 in re
3.708 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
3.711 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
3.711 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* im im) 0))) into (* (sqrt 2.0) im)
3.711 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
3.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.711 * [taylor]: Taking taylor expansion of 2.0 in im
3.711 * [backup-simplify]: Simplify 2.0 into 2.0
3.712 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.712 * [taylor]: Taking taylor expansion of im in im
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.712 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.712 * [taylor]: Taking taylor expansion of 2.0 in im
3.712 * [backup-simplify]: Simplify 2.0 into 2.0
3.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.713 * [taylor]: Taking taylor expansion of im in im
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify 1 into 1
3.714 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.714 * [backup-simplify]: Simplify 0 into 0
3.716 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
3.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.719 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
3.719 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.722 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.722 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.725 * [backup-simplify]: Simplify 0 into 0
3.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.728 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.728 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.732 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
3.732 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.735 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
3.735 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
3.736 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) into (/ (sqrt 2.0) im)
3.736 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
3.736 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.736 * [taylor]: Taking taylor expansion of 2.0 in im
3.736 * [backup-simplify]: Simplify 2.0 into 2.0
3.736 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.737 * [taylor]: Taking taylor expansion of im in im
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.738 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.738 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.738 * [taylor]: Taking taylor expansion of 2.0 in im
3.738 * [backup-simplify]: Simplify 2.0 into 2.0
3.739 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.740 * [taylor]: Taking taylor expansion of im in im
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.741 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.742 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.747 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify 0 into 0
3.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.753 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
3.759 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) into (/ (sqrt 2.0) im)
3.759 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
3.759 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.759 * [taylor]: Taking taylor expansion of 2.0 in im
3.759 * [backup-simplify]: Simplify 2.0 into 2.0
3.759 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.760 * [taylor]: Taking taylor expansion of im in im
3.760 * [backup-simplify]: Simplify 0 into 0
3.760 * [backup-simplify]: Simplify 1 into 1
3.761 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.761 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.761 * [taylor]: Taking taylor expansion of 2.0 in im
3.761 * [backup-simplify]: Simplify 2.0 into 2.0
3.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.762 * [taylor]: Taking taylor expansion of im in im
3.762 * [backup-simplify]: Simplify 0 into 0
3.762 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.765 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.767 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.778 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
3.779 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
3.779 * [backup-simplify]: Simplify (- (sqrt (+ (* im im) (* re re))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
3.779 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (im re) around 0
3.779 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.779 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.779 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.779 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.779 * [taylor]: Taking taylor expansion of im in re
3.779 * [backup-simplify]: Simplify im into im
3.779 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.779 * [taylor]: Taking taylor expansion of re in re
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 1 into 1
3.780 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.780 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.780 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.781 * [taylor]: Taking taylor expansion of re in re
3.781 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify 1 into 1
3.781 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.781 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.781 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.781 * [taylor]: Taking taylor expansion of im in im
3.781 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify 1 into 1
3.781 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.781 * [taylor]: Taking taylor expansion of re in im
3.781 * [backup-simplify]: Simplify re into re
3.781 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.781 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.781 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.781 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.782 * [taylor]: Taking taylor expansion of re in im
3.782 * [backup-simplify]: Simplify re into re
3.782 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.782 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.782 * [taylor]: Taking taylor expansion of im in im
3.782 * [backup-simplify]: Simplify 0 into 0
3.782 * [backup-simplify]: Simplify 1 into 1
3.782 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.782 * [taylor]: Taking taylor expansion of re in im
3.782 * [backup-simplify]: Simplify re into re
3.782 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.783 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.783 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.783 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.783 * [taylor]: Taking taylor expansion of re in im
3.783 * [backup-simplify]: Simplify re into re
3.783 * [backup-simplify]: Simplify (- re) into (- re)
3.784 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.784 * [taylor]: Taking taylor expansion of 0 in re
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify (- 0) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [taylor]: Taking taylor expansion of 0 in re
3.784 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify (* 1 1) into 1
3.785 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.786 * [backup-simplify]: Simplify (+ 1 0) into 1
3.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.787 * [backup-simplify]: Simplify (- 0) into 0
3.787 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
3.787 * [taylor]: Taking taylor expansion of 1/2 in re
3.787 * [backup-simplify]: Simplify 1/2 into 1/2
3.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.787 * [taylor]: Taking taylor expansion of re in re
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify 1 into 1
3.788 * [backup-simplify]: Simplify (/ 1 1) into 1
3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
3.790 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
3.790 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.790 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.790 * [taylor]: Taking taylor expansion of re in re
3.790 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify 1 into 1
3.791 * [backup-simplify]: Simplify (* 1 1) into 1
3.791 * [backup-simplify]: Simplify (/ 1 1) into 1
3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.791 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.791 * [taylor]: Taking taylor expansion of im in re
3.791 * [backup-simplify]: Simplify im into im
3.791 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.792 * [backup-simplify]: Simplify (+ 1 0) into 1
3.792 * [backup-simplify]: Simplify (sqrt 1) into 1
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.795 * [taylor]: Taking taylor expansion of re in re
3.795 * [backup-simplify]: Simplify 0 into 0
3.795 * [backup-simplify]: Simplify 1 into 1
3.795 * [backup-simplify]: Simplify (/ 1 1) into 1
3.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.796 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.796 * [taylor]: Taking taylor expansion of re in im
3.796 * [backup-simplify]: Simplify re into re
3.796 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.796 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.796 * [taylor]: Taking taylor expansion of im in im
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify (* 1 1) into 1
3.797 * [backup-simplify]: Simplify (/ 1 1) into 1
3.797 * [backup-simplify]: Simplify (+ 0 1) into 1
3.798 * [backup-simplify]: Simplify (sqrt 1) into 1
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.799 * [backup-simplify]: Simplify (+ 0 0) into 0
3.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.800 * [taylor]: Taking taylor expansion of re in im
3.800 * [backup-simplify]: Simplify re into re
3.800 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.800 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.800 * [taylor]: Taking taylor expansion of re in im
3.800 * [backup-simplify]: Simplify re into re
3.801 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.801 * [taylor]: Taking taylor expansion of im in im
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 1 into 1
3.801 * [backup-simplify]: Simplify (* 1 1) into 1
3.802 * [backup-simplify]: Simplify (/ 1 1) into 1
3.802 * [backup-simplify]: Simplify (+ 0 1) into 1
3.802 * [backup-simplify]: Simplify (sqrt 1) into 1
3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.804 * [backup-simplify]: Simplify (+ 0 0) into 0
3.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.805 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.805 * [taylor]: Taking taylor expansion of re in im
3.805 * [backup-simplify]: Simplify re into re
3.805 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.806 * [backup-simplify]: Simplify (+ 1 0) into 1
3.806 * [taylor]: Taking taylor expansion of 1 in re
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.806 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.806 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
3.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.806 * [taylor]: Taking taylor expansion of re in re
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [backup-simplify]: Simplify (- 1) into -1
3.807 * [backup-simplify]: Simplify -1 into -1
3.807 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.811 * [backup-simplify]: Simplify (- 0) into 0
3.811 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.811 * [taylor]: Taking taylor expansion of 1/2 in re
3.811 * [backup-simplify]: Simplify 1/2 into 1/2
3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.812 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.812 * [taylor]: Taking taylor expansion of re in re
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (* 1 1) into 1
3.812 * [backup-simplify]: Simplify (/ 1 1) into 1
3.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (- 0) into 0
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.820 * [backup-simplify]: Simplify (- 0) into 0
3.820 * [backup-simplify]: Simplify (+ 0 0) into 0
3.820 * [taylor]: Taking taylor expansion of 0 in re
3.820 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (- 0) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* -1 (* (/ 1 (/ 1 re)) 1))) into (- im re)
3.826 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
3.826 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.826 * [taylor]: Taking taylor expansion of re in re
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.826 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.826 * [taylor]: Taking taylor expansion of re in re
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.827 * [backup-simplify]: Simplify (/ 1 1) into 1
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.827 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.827 * [taylor]: Taking taylor expansion of im in re
3.827 * [backup-simplify]: Simplify im into im
3.827 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.828 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [backup-simplify]: Simplify (sqrt 1) into 1
3.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.831 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.831 * [taylor]: Taking taylor expansion of re in im
3.831 * [backup-simplify]: Simplify re into re
3.832 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.832 * [taylor]: Taking taylor expansion of re in im
3.832 * [backup-simplify]: Simplify re into re
3.832 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.832 * [taylor]: Taking taylor expansion of im in im
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (* 1 1) into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.833 * [backup-simplify]: Simplify (+ 0 1) into 1
3.834 * [backup-simplify]: Simplify (sqrt 1) into 1
3.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ 0 0) into 0
3.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.836 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.836 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.836 * [taylor]: Taking taylor expansion of re in im
3.836 * [backup-simplify]: Simplify re into re
3.836 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.837 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.837 * [taylor]: Taking taylor expansion of re in im
3.837 * [backup-simplify]: Simplify re into re
3.837 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.837 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.837 * [taylor]: Taking taylor expansion of im in im
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (* 1 1) into 1
3.838 * [backup-simplify]: Simplify (/ 1 1) into 1
3.838 * [backup-simplify]: Simplify (+ 0 1) into 1
3.839 * [backup-simplify]: Simplify (sqrt 1) into 1
3.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.842 * [backup-simplify]: Simplify (+ 0 1) into 1
3.842 * [taylor]: Taking taylor expansion of 1 in re
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.842 * [taylor]: Taking taylor expansion of re in re
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.846 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.846 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.846 * [taylor]: Taking taylor expansion of 1/2 in re
3.847 * [backup-simplify]: Simplify 1/2 into 1/2
3.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.847 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.847 * [taylor]: Taking taylor expansion of re in re
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.847 * [backup-simplify]: Simplify (* 1 1) into 1
3.847 * [backup-simplify]: Simplify (/ 1 1) into 1
3.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.850 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.851 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.854 * [backup-simplify]: Simplify (+ 0 0) into 0
3.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.855 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [taylor]: Taking taylor expansion of 0 in re
3.855 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.858 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im))
3.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
3.860 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
3.860 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
3.860 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
3.860 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
3.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.860 * [taylor]: Taking taylor expansion of 2.0 in re
3.860 * [backup-simplify]: Simplify 2.0 into 2.0
3.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.861 * [taylor]: Taking taylor expansion of im in re
3.861 * [backup-simplify]: Simplify im into im
3.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
3.861 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.861 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.861 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.861 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.861 * [taylor]: Taking taylor expansion of im in re
3.861 * [backup-simplify]: Simplify im into im
3.861 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.861 * [taylor]: Taking taylor expansion of re in re
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 1 into 1
3.862 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.862 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.862 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.863 * [backup-simplify]: Simplify (+ 0 0) into 0
3.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.863 * [taylor]: Taking taylor expansion of re in re
3.863 * [backup-simplify]: Simplify 0 into 0
3.863 * [backup-simplify]: Simplify 1 into 1
3.863 * [backup-simplify]: Simplify (- 0) into 0
3.863 * [backup-simplify]: Simplify (+ im 0) into im
3.863 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.863 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
3.864 * [backup-simplify]: Simplify (- 1) into -1
3.864 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
3.865 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
3.865 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
3.865 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.865 * [taylor]: Taking taylor expansion of 2.0 in im
3.865 * [backup-simplify]: Simplify 2.0 into 2.0
3.865 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.866 * [taylor]: Taking taylor expansion of im in im
3.866 * [backup-simplify]: Simplify 0 into 0
3.866 * [backup-simplify]: Simplify 1 into 1
3.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
3.866 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.866 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.866 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.866 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.866 * [taylor]: Taking taylor expansion of im in im
3.866 * [backup-simplify]: Simplify 0 into 0
3.866 * [backup-simplify]: Simplify 1 into 1
3.866 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.866 * [taylor]: Taking taylor expansion of re in im
3.866 * [backup-simplify]: Simplify re into re
3.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.867 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.867 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.867 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.868 * [taylor]: Taking taylor expansion of re in im
3.868 * [backup-simplify]: Simplify re into re
3.868 * [backup-simplify]: Simplify (- re) into (- re)
3.868 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.868 * [backup-simplify]: Simplify (- 0) into 0
3.868 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [backup-simplify]: Simplify (* 1 1) into 1
3.869 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.870 * [backup-simplify]: Simplify (+ 1 0) into 1
3.870 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.871 * [backup-simplify]: Simplify (- 0) into 0
3.871 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.871 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.871 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.873 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.874 * [backup-simplify]: Simplify (- 0) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.874 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.874 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
3.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.874 * [taylor]: Taking taylor expansion of 2.0 in im
3.874 * [backup-simplify]: Simplify 2.0 into 2.0
3.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.876 * [taylor]: Taking taylor expansion of im in im
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 1 into 1
3.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
3.876 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.876 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.876 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.876 * [taylor]: Taking taylor expansion of im in im
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 1 into 1
3.876 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.876 * [taylor]: Taking taylor expansion of re in im
3.876 * [backup-simplify]: Simplify re into re
3.876 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.876 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.876 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.877 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.877 * [backup-simplify]: Simplify (+ 0 0) into 0
3.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.877 * [taylor]: Taking taylor expansion of re in im
3.877 * [backup-simplify]: Simplify re into re
3.877 * [backup-simplify]: Simplify (- re) into (- re)
3.877 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.878 * [backup-simplify]: Simplify (- 0) into 0
3.878 * [backup-simplify]: Simplify (+ 0 0) into 0
3.878 * [backup-simplify]: Simplify (* 1 1) into 1
3.879 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.880 * [backup-simplify]: Simplify (+ 1 0) into 1
3.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.881 * [backup-simplify]: Simplify (- 0) into 0
3.881 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.881 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.881 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.883 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.883 * [backup-simplify]: Simplify (+ 0 0) into 0
3.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.884 * [backup-simplify]: Simplify (- 0) into 0
3.884 * [backup-simplify]: Simplify (+ 0 0) into 0
3.884 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.885 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.885 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
3.885 * [taylor]: Taking taylor expansion of 0 in re
3.885 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
3.889 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
3.889 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
3.889 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
3.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.889 * [taylor]: Taking taylor expansion of 2.0 in re
3.889 * [backup-simplify]: Simplify 2.0 into 2.0
3.890 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.890 * [taylor]: Taking taylor expansion of (sqrt 2) in re
3.890 * [taylor]: Taking taylor expansion of 2 in re
3.890 * [backup-simplify]: Simplify 2 into 2
3.891 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.892 * [taylor]: Taking taylor expansion of (sqrt re) in re
3.892 * [taylor]: Taking taylor expansion of re in re
3.892 * [backup-simplify]: Simplify 0 into 0
3.892 * [backup-simplify]: Simplify 1 into 1
3.892 * [backup-simplify]: Simplify (sqrt 0) into 0
3.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.895 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
3.896 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.899 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.900 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
3.900 * [backup-simplify]: Simplify (- 0) into 0
3.901 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
3.901 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
3.903 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
3.904 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.905 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
3.908 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0
3.908 * [taylor]: Taking taylor expansion of 0 in re
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
3.917 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.920 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.921 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
3.927 * [backup-simplify]: Simplify (- 0) into 0
3.927 * [backup-simplify]: Simplify (+ 0 0) into 0
3.928 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
3.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.933 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
3.936 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
3.936 * [taylor]: Taking taylor expansion of 1/4 in re
3.936 * [backup-simplify]: Simplify 1/4 into 1/4
3.936 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
3.936 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
3.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.936 * [taylor]: Taking taylor expansion of 2.0 in re
3.936 * [backup-simplify]: Simplify 2.0 into 2.0
3.937 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.937 * [taylor]: Taking taylor expansion of (sqrt 2) in re
3.937 * [taylor]: Taking taylor expansion of 2 in re
3.937 * [backup-simplify]: Simplify 2 into 2
3.938 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.940 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
3.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
3.940 * [taylor]: Taking taylor expansion of (pow re 3) 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 (* 1 1) into 1
3.940 * [backup-simplify]: Simplify (* 1 1) into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [backup-simplify]: Simplify (sqrt 0) into 0
3.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.948 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.949 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.953 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.957 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.961 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.962 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
3.970 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.974 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.974 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.980 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
3.985 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.988 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.999 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
4.000 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) (sqrt (- (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
4.000 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
4.000 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
4.000 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
4.000 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.000 * [taylor]: Taking taylor expansion of 2.0 in re
4.000 * [backup-simplify]: Simplify 2.0 into 2.0
4.001 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.002 * [taylor]: Taking taylor expansion of im in re
4.002 * [backup-simplify]: Simplify im into im
4.002 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
4.002 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
4.002 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
4.002 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
4.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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
4.003 * [backup-simplify]: Simplify (* 1 1) into 1
4.003 * [backup-simplify]: Simplify (/ 1 1) into 1
4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.003 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.003 * [taylor]: Taking taylor expansion of im in re
4.003 * [backup-simplify]: Simplify im into im
4.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.004 * [backup-simplify]: Simplify (+ 1 0) into 1
4.004 * [backup-simplify]: Simplify (sqrt 1) into 1
4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.006 * [backup-simplify]: Simplify (+ 0 0) into 0
4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.007 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.007 * [taylor]: Taking taylor expansion of re in re
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (/ 1 1) into 1
4.008 * [backup-simplify]: Simplify (- 1) into -1
4.008 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify (- 0) into 0
4.010 * [backup-simplify]: Simplify (+ 0 0) into 0
4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.014 * [backup-simplify]: Simplify (- 0) into 0
4.015 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.015 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
4.015 * [backup-simplify]: Simplify (sqrt 0) into 0
4.016 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
4.016 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
4.016 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.016 * [taylor]: Taking taylor expansion of 2.0 in im
4.016 * [backup-simplify]: Simplify 2.0 into 2.0
4.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.017 * [taylor]: Taking taylor expansion of im in im
4.017 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
4.019 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
4.019 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.019 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.019 * [taylor]: Taking taylor expansion of re in im
4.019 * [backup-simplify]: Simplify re into re
4.019 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.019 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.019 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.019 * [taylor]: Taking taylor expansion of im in im
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [backup-simplify]: Simplify (+ 0 1) into 1
4.021 * [backup-simplify]: Simplify (sqrt 1) into 1
4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.023 * [backup-simplify]: Simplify (+ 0 0) into 0
4.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.023 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.023 * [taylor]: Taking taylor expansion of re in im
4.023 * [backup-simplify]: Simplify re into re
4.023 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.024 * [backup-simplify]: Simplify (+ 1 0) into 1
4.024 * [backup-simplify]: Simplify (/ 1 1) into 1
4.025 * [backup-simplify]: Simplify (sqrt 0) into 0
4.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.026 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
4.026 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.026 * [taylor]: Taking taylor expansion of 2.0 in im
4.026 * [backup-simplify]: Simplify 2.0 into 2.0
4.027 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.028 * [taylor]: Taking taylor expansion of im in im
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
4.029 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
4.029 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
4.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.029 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.029 * [taylor]: Taking taylor expansion of re in im
4.029 * [backup-simplify]: Simplify re into re
4.029 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.029 * [taylor]: Taking taylor expansion of im in im
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* 1 1) into 1
4.030 * [backup-simplify]: Simplify (/ 1 1) into 1
4.030 * [backup-simplify]: Simplify (+ 0 1) into 1
4.031 * [backup-simplify]: Simplify (sqrt 1) into 1
4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.033 * [backup-simplify]: Simplify (+ 0 0) into 0
4.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.034 * [taylor]: Taking taylor expansion of re in im
4.034 * [backup-simplify]: Simplify re into re
4.034 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.034 * [backup-simplify]: Simplify (+ 1 0) into 1
4.035 * [backup-simplify]: Simplify (/ 1 1) into 1
4.035 * [backup-simplify]: Simplify (sqrt 0) into 0
4.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.037 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.037 * [taylor]: Taking taylor expansion of 0 in re
4.037 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.041 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
4.041 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.041 * [taylor]: Taking taylor expansion of +nan.0 in re
4.041 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.041 * [taylor]: Taking taylor expansion of 2.0 in re
4.041 * [backup-simplify]: Simplify 2.0 into 2.0
4.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
4.042 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
4.043 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
4.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.047 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
4.047 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.047 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.047 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.047 * [taylor]: Taking taylor expansion of +nan.0 in re
4.047 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.048 * [taylor]: Taking taylor expansion of 2.0 in re
4.048 * [backup-simplify]: Simplify 2.0 into 2.0
4.048 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.049 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.049 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.049 * [taylor]: Taking taylor expansion of +nan.0 in re
4.049 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.049 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.049 * [taylor]: Taking taylor expansion of 2.0 in re
4.049 * [backup-simplify]: Simplify 2.0 into 2.0
4.049 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.050 * [taylor]: Taking taylor expansion of re in re
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.052 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.053 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.056 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.058 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.060 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.060 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.062 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.064 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.064 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.069 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
4.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.071 * [backup-simplify]: Simplify (- 0) into 0
4.071 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.073 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
4.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
4.078 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
4.078 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
4.078 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.078 * [taylor]: Taking taylor expansion of +nan.0 in re
4.078 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.078 * [taylor]: Taking taylor expansion of 2.0 in re
4.078 * [backup-simplify]: Simplify 2.0 into 2.0
4.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.079 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
4.079 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
4.079 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.079 * [taylor]: Taking taylor expansion of +nan.0 in re
4.079 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.079 * [taylor]: Taking taylor expansion of 2.0 in re
4.079 * [backup-simplify]: Simplify 2.0 into 2.0
4.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.080 * [taylor]: Taking taylor expansion of re in re
4.080 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.081 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
4.081 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
4.082 * [taylor]: Taking taylor expansion of +nan.0 in re
4.082 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.082 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
4.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.082 * [taylor]: Taking taylor expansion of 2.0 in re
4.082 * [backup-simplify]: Simplify 2.0 into 2.0
4.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.083 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.083 * [taylor]: Taking taylor expansion of re in re
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.083 * [backup-simplify]: Simplify (* 1 1) into 1
4.084 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.085 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.088 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.088 * [backup-simplify]: Simplify (- 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.092 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.094 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.096 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.098 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.101 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
4.102 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) (sqrt (- (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
4.102 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
4.102 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
4.102 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
4.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.102 * [taylor]: Taking taylor expansion of 2.0 in re
4.102 * [backup-simplify]: Simplify 2.0 into 2.0
4.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.102 * [taylor]: Taking taylor expansion of im in re
4.102 * [backup-simplify]: Simplify im into im
4.103 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
4.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
4.103 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
4.103 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.103 * [taylor]: Taking taylor expansion of re in re
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify 1 into 1
4.103 * [backup-simplify]: Simplify (/ 1 1) into 1
4.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.103 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.103 * [taylor]: Taking taylor expansion of re in re
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify 1 into 1
4.103 * [backup-simplify]: Simplify (* 1 1) into 1
4.104 * [backup-simplify]: Simplify (/ 1 1) into 1
4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.104 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.104 * [taylor]: Taking taylor expansion of im in re
4.104 * [backup-simplify]: Simplify im into im
4.104 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.104 * [backup-simplify]: Simplify (+ 1 0) into 1
4.104 * [backup-simplify]: Simplify (sqrt 1) into 1
4.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.106 * [backup-simplify]: Simplify (+ 0 0) into 0
4.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.106 * [backup-simplify]: Simplify (+ 1 1) into 2
4.106 * [backup-simplify]: Simplify (/ 1 2) into 1/2
4.107 * [backup-simplify]: Simplify (sqrt 0) into 0
4.108 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
4.108 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
4.108 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.108 * [taylor]: Taking taylor expansion of 2.0 in im
4.108 * [backup-simplify]: Simplify 2.0 into 2.0
4.108 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.108 * [taylor]: Taking taylor expansion of im in im
4.108 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 1 into 1
4.109 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
4.109 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.109 * [taylor]: Taking taylor expansion of re in im
4.109 * [backup-simplify]: Simplify re into re
4.109 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.109 * [taylor]: Taking taylor expansion of re in im
4.109 * [backup-simplify]: Simplify re into re
4.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 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
4.110 * [backup-simplify]: Simplify (+ 0 1) into 1
4.111 * [backup-simplify]: Simplify (sqrt 1) into 1
4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ 0 0) into 0
4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.112 * [backup-simplify]: Simplify (+ 0 1) into 1
4.113 * [backup-simplify]: Simplify (/ 1 1) into 1
4.113 * [backup-simplify]: Simplify (sqrt 0) into 0
4.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.114 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
4.114 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.114 * [taylor]: Taking taylor expansion of 2.0 in im
4.114 * [backup-simplify]: Simplify 2.0 into 2.0
4.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.114 * [taylor]: Taking taylor expansion of im in im
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.115 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
4.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.115 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.115 * [taylor]: Taking taylor expansion of re in im
4.115 * [backup-simplify]: Simplify re into re
4.115 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.115 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.115 * [taylor]: Taking taylor expansion of re in im
4.115 * [backup-simplify]: Simplify re into re
4.115 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.115 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.115 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.116 * [taylor]: Taking taylor expansion of im in im
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify 1 into 1
4.116 * [backup-simplify]: Simplify (* 1 1) into 1
4.116 * [backup-simplify]: Simplify (/ 1 1) into 1
4.116 * [backup-simplify]: Simplify (+ 0 1) into 1
4.117 * [backup-simplify]: Simplify (sqrt 1) into 1
4.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.118 * [backup-simplify]: Simplify (+ 0 1) into 1
4.119 * [backup-simplify]: Simplify (/ 1 1) into 1
4.119 * [backup-simplify]: Simplify (sqrt 0) into 0
4.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.120 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.120 * [taylor]: Taking taylor expansion of 0 in re
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.122 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
4.122 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
4.122 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.122 * [taylor]: Taking taylor expansion of +nan.0 in re
4.122 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.122 * [taylor]: Taking taylor expansion of 2.0 in re
4.122 * [backup-simplify]: Simplify 2.0 into 2.0
4.122 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.123 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.124 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.125 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
4.126 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
4.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
4.129 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
4.129 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
4.129 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.129 * [taylor]: Taking taylor expansion of +nan.0 in re
4.129 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.129 * [taylor]: Taking taylor expansion of 2.0 in re
4.129 * [backup-simplify]: Simplify 2.0 into 2.0
4.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.130 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
4.130 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.130 * [taylor]: Taking taylor expansion of +nan.0 in re
4.130 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.130 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.130 * [taylor]: Taking taylor expansion of 2.0 in re
4.130 * [backup-simplify]: Simplify 2.0 into 2.0
4.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.131 * [taylor]: Taking taylor expansion of re in re
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.132 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.133 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.134 * [backup-simplify]: Simplify (- 0) into 0
4.135 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.136 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.137 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.138 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.138 * [backup-simplify]: Simplify (- 0) into 0
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
4.140 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
4.140 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
4.141 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
4.144 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
4.144 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
4.144 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
4.144 * [taylor]: Taking taylor expansion of +nan.0 in re
4.144 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.144 * [taylor]: Taking taylor expansion of 2.0 in re
4.144 * [backup-simplify]: Simplify 2.0 into 2.0
4.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.145 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
4.145 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
4.145 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
4.145 * [taylor]: Taking taylor expansion of +nan.0 in re
4.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.145 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
4.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.145 * [taylor]: Taking taylor expansion of 2.0 in re
4.145 * [backup-simplify]: Simplify 2.0 into 2.0
4.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.146 * [taylor]: Taking taylor expansion of re in re
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 1 into 1
4.146 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
4.146 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
4.146 * [taylor]: Taking taylor expansion of +nan.0 in re
4.146 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.146 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
4.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
4.146 * [taylor]: Taking taylor expansion of 2.0 in re
4.146 * [backup-simplify]: Simplify 2.0 into 2.0
4.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.147 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.147 * [taylor]: Taking taylor expansion of re in re
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (* 1 1) into 1
4.148 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.148 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
4.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.149 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
4.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
4.153 * [backup-simplify]: Simplify (- 0) into 0
4.154 * [backup-simplify]: Simplify (+ 0 0) into 0
4.154 * [backup-simplify]: Simplify (- 0) into 0
4.155 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
4.156 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
4.157 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
4.160 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
4.160 * * * [progress]: simplifying candidates
4.162 * [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 (* 2.0 (+ (* im im) 0))))
  (exp (sqrt (* 2.0 (+ (* im im) 0))))
  (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (cbrt (sqrt (* 2.0 (+ (* im im) 0))))
  (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0))))
  (sqrt 2.0)
  (sqrt (+ (* im im) 0))
  (sqrt (* 2.0 (+ (pow (* im im) 3) (pow 0 3))))
  (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0))))
  (sqrt (* 2.0 (- (* (* im im) (* im im)) (* 0 0))))
  (sqrt (- (* im im) 0))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (* im im) 0))))
  (sqrt (sqrt (* 2.0 (+ (* im im) 0))))
  (/ (exp (sqrt (+ (* im im) (* re re)))) (exp re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))
  (+ (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (+ (* re re) (* (sqrt (+ (* im im) (* re re))) re)))
  (- re)
  (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re))
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (- (log (sqrt (* 2.0 (+ (* im im) 0)))) (log (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (* (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt (* 2.0 (+ (* im im) 0))))
  (- (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt 1))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) 1)
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (+ (* im im) 0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) 1)
  (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt 1))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) 1)
  (/ (sqrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 1)
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (* im im) 0))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt 1))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) 1)
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (* im im) 0)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* 2.0 (+ (* im im) 0)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (* im im) 0))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))))
  (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re))))
  (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))))
  (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (* im im) 0)))
  re
  im
  (* -1 im)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  0
  (- im re)
  (- (+ re im))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
4.164 * * [simplify]: iteration 0: 212 enodes
4.222 * * [simplify]: iteration 1: 472 enodes
4.493 * * [simplify]: iteration 2: 2234 enodes
5.097 * * [simplify]: iteration complete: 5000 enodes
5.098 * * [simplify]: Extracting #0: cost 108 inf + 0
5.099 * * [simplify]: Extracting #1: cost 404 inf + 10
5.103 * * [simplify]: Extracting #2: cost 964 inf + 292
5.108 * * [simplify]: Extracting #3: cost 1407 inf + 1714
5.114 * * [simplify]: Extracting #4: cost 723 inf + 6574
5.120 * * [simplify]: Extracting #5: cost 125 inf + 12544
5.125 * * [simplify]: Extracting #6: cost 21 inf + 14004
5.132 * * [simplify]: Extracting #7: cost 2 inf + 14103
5.143 * * [simplify]: Extracting #8: cost 0 inf + 14117
5.159 * [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 im 6) (pow re 6)))
  (sqrt (- (+ (pow im 4) (pow re 4)) (* (* im im) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (* im im) (* re re)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (pow (sqrt (* 2.0 (* im im))) 3)
  (sqrt 2.0)
  (fabs im)
  (sqrt (* 2.0 (pow im 6)))
  (fabs (* im im))
  (sqrt (* 2.0 (pow im 4)))
  (fabs im)
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (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))
  (+ (* im im) (+ (* re re) (* re (+ re (sqrt (+ (* im im) (* re re)))))))
  (- re)
  (* im im)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 3)
  (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 3)
  (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt (* 2.0 (* im im))))
  (- (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))))
  (/ (sqrt (* 2.0 (* im im))) (fabs im))
  (* (fabs (* im im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  re
  im
  (- im)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) (- im))
  0
  (- im re)
  (- (+ re im))
  (+ (* (- +nan.0) (/ (sqrt 2.0) (/ (sqrt 2) (* im im)))) (* +nan.0 (- (* re (* (sqrt 2.0) (sqrt 2))) (* (sqrt 2.0) (* (* re re) (sqrt 2))))))
  (+ (* +nan.0 (- (sqrt 2.0) (/ (sqrt 2.0) (/ im re)))) (* (- +nan.0) (* (/ re im) (/ (sqrt 2.0) im))))
  (+ (* +nan.0 (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im)))) (* (- (sqrt 2.0)) +nan.0))
5.161 * * * [progress]: adding candidates to table
5.781 * * [progress]: iteration 4 / 4
5.781 * * * [progress]: picking best candidate
5.818 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))>
5.818 * * * [progress]: localizing error
5.847 * * * [progress]: generating rewritten candidates
5.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
5.860 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1)
5.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
6.046 * * * [progress]: generating series expansions
6.047 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
6.047 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
6.047 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
6.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.047 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.047 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.047 * [taylor]: Taking taylor expansion of im in re
6.047 * [backup-simplify]: Simplify im into im
6.047 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.047 * [taylor]: Taking taylor expansion of re in re
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.047 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.048 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.048 * [backup-simplify]: Simplify (+ 0 0) into 0
6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.049 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.049 * [taylor]: Taking taylor expansion of im in im
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.049 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.049 * [taylor]: Taking taylor expansion of re in im
6.049 * [backup-simplify]: Simplify re into re
6.049 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.049 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.049 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.049 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.050 * [backup-simplify]: Simplify (+ 0 0) into 0
6.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.050 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.050 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.050 * [taylor]: Taking taylor expansion of im in im
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.050 * [taylor]: Taking taylor expansion of re in im
6.050 * [backup-simplify]: Simplify re into re
6.050 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.050 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.050 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.051 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.051 * [backup-simplify]: Simplify (+ 0 0) into 0
6.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.051 * [taylor]: Taking taylor expansion of re in re
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [taylor]: Taking taylor expansion of 0 in re
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.052 * [backup-simplify]: Simplify (* 1 1) into 1
6.053 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.053 * [backup-simplify]: Simplify (+ 1 0) into 1
6.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.054 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
6.054 * [taylor]: Taking taylor expansion of 1/2 in re
6.054 * [backup-simplify]: Simplify 1/2 into 1/2
6.054 * [taylor]: Taking taylor expansion of re in re
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.057 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.057 * [backup-simplify]: Simplify (+ 0 0) into 0
6.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.058 * [taylor]: Taking taylor expansion of 0 in re
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
6.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.059 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.059 * [taylor]: Taking taylor expansion of re in re
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.060 * [backup-simplify]: Simplify (* 1 1) into 1
6.060 * [backup-simplify]: Simplify (/ 1 1) into 1
6.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.060 * [taylor]: Taking taylor expansion of im in re
6.060 * [backup-simplify]: Simplify im into im
6.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.061 * [backup-simplify]: Simplify (+ 1 0) into 1
6.061 * [backup-simplify]: Simplify (sqrt 1) into 1
6.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.063 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.064 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.064 * [taylor]: Taking taylor expansion of re in im
6.064 * [backup-simplify]: Simplify re into re
6.064 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.064 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.064 * [taylor]: Taking taylor expansion of im in im
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [backup-simplify]: Simplify (+ 0 1) into 1
6.066 * [backup-simplify]: Simplify (sqrt 1) into 1
6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.067 * [backup-simplify]: Simplify (+ 0 0) into 0
6.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.068 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.068 * [taylor]: Taking taylor expansion of re in im
6.068 * [backup-simplify]: Simplify re into re
6.068 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.069 * [taylor]: Taking taylor expansion of im in im
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 1 into 1
6.069 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (/ 1 1) into 1
6.070 * [backup-simplify]: Simplify (+ 0 1) into 1
6.070 * [backup-simplify]: Simplify (sqrt 1) into 1
6.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.072 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.073 * [taylor]: Taking taylor expansion of 1 in re
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [taylor]: Taking taylor expansion of 0 in re
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify 1 into 1
6.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.075 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.076 * [taylor]: Taking taylor expansion of 1/2 in re
6.076 * [backup-simplify]: Simplify 1/2 into 1/2
6.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.076 * [taylor]: Taking taylor expansion of re in re
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [backup-simplify]: Simplify (* 1 1) into 1
6.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.082 * [backup-simplify]: Simplify (+ 0 0) into 0
6.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.082 * [taylor]: Taking taylor expansion of 0 in re
6.082 * [backup-simplify]: Simplify 0 into 0
6.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
6.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.085 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.085 * [taylor]: Taking taylor expansion of re in re
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (* 1 1) into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.086 * [taylor]: Taking taylor expansion of im in re
6.086 * [backup-simplify]: Simplify im into im
6.086 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.087 * [backup-simplify]: Simplify (+ 1 0) into 1
6.087 * [backup-simplify]: Simplify (sqrt 1) into 1
6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.090 * [taylor]: Taking taylor expansion of re in im
6.090 * [backup-simplify]: Simplify re into re
6.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.090 * [taylor]: Taking taylor expansion of im in im
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (/ 1 1) into 1
6.091 * [backup-simplify]: Simplify (+ 0 1) into 1
6.092 * [backup-simplify]: Simplify (sqrt 1) into 1
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.093 * [backup-simplify]: Simplify (+ 0 0) into 0
6.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.094 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.094 * [taylor]: Taking taylor expansion of re in im
6.094 * [backup-simplify]: Simplify re into re
6.094 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.095 * [taylor]: Taking taylor expansion of im in im
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.095 * [backup-simplify]: Simplify (* 1 1) into 1
6.095 * [backup-simplify]: Simplify (/ 1 1) into 1
6.096 * [backup-simplify]: Simplify (+ 0 1) into 1
6.096 * [backup-simplify]: Simplify (sqrt 1) into 1
6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (+ 0 0) into 0
6.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.099 * [taylor]: Taking taylor expansion of 1 in re
6.099 * [backup-simplify]: Simplify 1 into 1
6.099 * [taylor]: Taking taylor expansion of 0 in re
6.099 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify 1 into 1
6.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.101 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.102 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.102 * [taylor]: Taking taylor expansion of 1/2 in re
6.102 * [backup-simplify]: Simplify 1/2 into 1/2
6.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.102 * [taylor]: Taking taylor expansion of re in re
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (* 1 1) into 1
6.103 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.107 * [taylor]: Taking taylor expansion of 0 in re
6.107 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.108 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
6.109 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1)
6.109 * [backup-simplify]: Simplify (- (sqrt (+ (* im im) (* re re))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
6.109 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (im re) around 0
6.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.109 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.109 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.109 * [taylor]: Taking taylor expansion of im in re
6.109 * [backup-simplify]: Simplify im into im
6.109 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.109 * [taylor]: Taking taylor expansion of re in re
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.109 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.109 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.110 * [backup-simplify]: Simplify (+ 0 0) into 0
6.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.110 * [taylor]: Taking taylor expansion of re in re
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.110 * [taylor]: Taking taylor expansion of im in im
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.110 * [taylor]: Taking taylor expansion of re in im
6.110 * [backup-simplify]: Simplify re into re
6.110 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.110 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.110 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.111 * [backup-simplify]: Simplify (+ 0 0) into 0
6.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.111 * [taylor]: Taking taylor expansion of re in im
6.111 * [backup-simplify]: Simplify re into re
6.111 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.111 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.111 * [taylor]: Taking taylor expansion of im in im
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.111 * [taylor]: Taking taylor expansion of re in im
6.111 * [backup-simplify]: Simplify re into re
6.111 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.111 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.111 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.112 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.112 * [taylor]: Taking taylor expansion of re in im
6.112 * [backup-simplify]: Simplify re into re
6.112 * [backup-simplify]: Simplify (- re) into (- re)
6.112 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.112 * [taylor]: Taking taylor expansion of 0 in re
6.112 * [backup-simplify]: Simplify 0 into 0
6.112 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify (- 0) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [taylor]: Taking taylor expansion of 0 in re
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.114 * [backup-simplify]: Simplify (+ 1 0) into 1
6.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.115 * [backup-simplify]: Simplify (- 0) into 0
6.115 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
6.115 * [taylor]: Taking taylor expansion of 1/2 in re
6.115 * [backup-simplify]: Simplify 1/2 into 1/2
6.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.115 * [taylor]: Taking taylor expansion of re in re
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.115 * [backup-simplify]: Simplify (/ 1 1) into 1
6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
6.116 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
6.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.116 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.116 * [taylor]: Taking taylor expansion of re in re
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 1 into 1
6.117 * [backup-simplify]: Simplify (* 1 1) into 1
6.117 * [backup-simplify]: Simplify (/ 1 1) into 1
6.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.117 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.117 * [taylor]: Taking taylor expansion of im in re
6.117 * [backup-simplify]: Simplify im into im
6.117 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.117 * [backup-simplify]: Simplify (+ 1 0) into 1
6.118 * [backup-simplify]: Simplify (sqrt 1) into 1
6.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.119 * [backup-simplify]: Simplify (+ 0 0) into 0
6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.119 * [taylor]: Taking taylor expansion of re in re
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 1 into 1
6.119 * [backup-simplify]: Simplify (/ 1 1) into 1
6.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.119 * [taylor]: Taking taylor expansion of re in im
6.119 * [backup-simplify]: Simplify re into re
6.119 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.120 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.120 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.120 * [taylor]: Taking taylor expansion of im in im
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [backup-simplify]: Simplify (* 1 1) into 1
6.124 * [backup-simplify]: Simplify (/ 1 1) into 1
6.125 * [backup-simplify]: Simplify (+ 0 1) into 1
6.125 * [backup-simplify]: Simplify (sqrt 1) into 1
6.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.127 * [taylor]: Taking taylor expansion of re in im
6.127 * [backup-simplify]: Simplify re into re
6.127 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.127 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.127 * [taylor]: Taking taylor expansion of re in im
6.127 * [backup-simplify]: Simplify re into re
6.127 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.127 * [taylor]: Taking taylor expansion of im in im
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (* 1 1) into 1
6.128 * [backup-simplify]: Simplify (/ 1 1) into 1
6.128 * [backup-simplify]: Simplify (+ 0 1) into 1
6.128 * [backup-simplify]: Simplify (sqrt 1) into 1
6.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.130 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.130 * [taylor]: Taking taylor expansion of re in im
6.130 * [backup-simplify]: Simplify re into re
6.130 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.130 * [backup-simplify]: Simplify (+ 1 0) into 1
6.130 * [taylor]: Taking taylor expansion of 1 in re
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.130 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.130 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
6.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.130 * [taylor]: Taking taylor expansion of re in re
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.131 * [backup-simplify]: Simplify (/ 1 1) into 1
6.131 * [backup-simplify]: Simplify (- 1) into -1
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [backup-simplify]: Simplify 1 into 1
6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.133 * [backup-simplify]: Simplify (- 0) into 0
6.133 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
6.133 * [taylor]: Taking taylor expansion of 1/2 in re
6.133 * [backup-simplify]: Simplify 1/2 into 1/2
6.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.133 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.133 * [taylor]: Taking taylor expansion of re in re
6.133 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [backup-simplify]: Simplify (* 1 1) into 1
6.134 * [backup-simplify]: Simplify (/ 1 1) into 1
6.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.135 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (- 0) into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.138 * [backup-simplify]: Simplify (+ 0 0) into 0
6.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
6.139 * [backup-simplify]: Simplify (- 0) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.139 * [taylor]: Taking taylor expansion of 0 in re
6.139 * [backup-simplify]: Simplify 0 into 0
6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.140 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify (- 0) into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* -1 (* (/ 1 (/ 1 re)) 1))) into (- im re)
6.142 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
6.142 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
6.142 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.142 * [taylor]: Taking taylor expansion of re in re
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.142 * [backup-simplify]: Simplify (/ 1 1) into 1
6.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.142 * [taylor]: Taking taylor expansion of re in re
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.142 * [backup-simplify]: Simplify (* 1 1) into 1
6.143 * [backup-simplify]: Simplify (/ 1 1) into 1
6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.143 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.143 * [taylor]: Taking taylor expansion of im in re
6.143 * [backup-simplify]: Simplify im into im
6.143 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.143 * [backup-simplify]: Simplify (+ 1 0) into 1
6.143 * [backup-simplify]: Simplify (sqrt 1) into 1
6.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.145 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.145 * [taylor]: Taking taylor expansion of re in im
6.145 * [backup-simplify]: Simplify re into re
6.145 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.145 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.145 * [taylor]: Taking taylor expansion of re in im
6.145 * [backup-simplify]: Simplify re into re
6.145 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.145 * [taylor]: Taking taylor expansion of im in im
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (* 1 1) into 1
6.146 * [backup-simplify]: Simplify (/ 1 1) into 1
6.146 * [backup-simplify]: Simplify (+ 0 1) into 1
6.146 * [backup-simplify]: Simplify (sqrt 1) into 1
6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.147 * [backup-simplify]: Simplify (+ 0 0) into 0
6.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.148 * [taylor]: Taking taylor expansion of re in im
6.148 * [backup-simplify]: Simplify re into re
6.148 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.148 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.148 * [taylor]: Taking taylor expansion of re in im
6.148 * [backup-simplify]: Simplify re into re
6.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.148 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.148 * [taylor]: Taking taylor expansion of im in im
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.148 * [backup-simplify]: Simplify (* 1 1) into 1
6.149 * [backup-simplify]: Simplify (/ 1 1) into 1
6.149 * [backup-simplify]: Simplify (+ 0 1) into 1
6.149 * [backup-simplify]: Simplify (sqrt 1) into 1
6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (+ 0 0) into 0
6.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.151 * [backup-simplify]: Simplify (+ 0 1) into 1
6.151 * [taylor]: Taking taylor expansion of 1 in re
6.151 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
6.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.152 * [taylor]: Taking taylor expansion of re in re
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (/ 1 1) into 1
6.152 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.154 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.156 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
6.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
6.156 * [taylor]: Taking taylor expansion of 1/2 in re
6.156 * [backup-simplify]: Simplify 1/2 into 1/2
6.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.156 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.156 * [taylor]: Taking taylor expansion of re in re
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 1 into 1
6.157 * [backup-simplify]: Simplify (* 1 1) into 1
6.157 * [backup-simplify]: Simplify (/ 1 1) into 1
6.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.159 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
6.160 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.164 * [backup-simplify]: Simplify (+ 0 0) into 0
6.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.165 * [backup-simplify]: Simplify (+ 0 0) into 0
6.165 * [taylor]: Taking taylor expansion of 0 in re
6.165 * [backup-simplify]: Simplify 0 into 0
6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.168 * [backup-simplify]: Simplify 0 into 0
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.169 * [backup-simplify]: Simplify 0 into 0
6.169 * [backup-simplify]: Simplify 0 into 0
6.169 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im))
6.169 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
6.170 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) into (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
6.170 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
6.170 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
6.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re
6.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.170 * [taylor]: Taking taylor expansion of 2.0 in re
6.170 * [backup-simplify]: Simplify 2.0 into 2.0
6.170 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.171 * [taylor]: Taking taylor expansion of (fabs im) in re
6.171 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
6.171 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
6.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.172 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.172 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.172 * [taylor]: Taking taylor expansion of im in re
6.172 * [backup-simplify]: Simplify im into im
6.172 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.172 * [taylor]: Taking taylor expansion of re in re
6.172 * [backup-simplify]: Simplify 0 into 0
6.172 * [backup-simplify]: Simplify 1 into 1
6.172 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.172 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.173 * [backup-simplify]: Simplify (+ 0 0) into 0
6.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.173 * [taylor]: Taking taylor expansion of re in re
6.173 * [backup-simplify]: Simplify 0 into 0
6.173 * [backup-simplify]: Simplify 1 into 1
6.173 * [backup-simplify]: Simplify (- 0) into 0
6.173 * [backup-simplify]: Simplify (+ im 0) into im
6.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.173 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
6.174 * [backup-simplify]: Simplify (- 1) into -1
6.174 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
6.175 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
6.175 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im
6.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.175 * [taylor]: Taking taylor expansion of 2.0 in im
6.175 * [backup-simplify]: Simplify 2.0 into 2.0
6.175 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.176 * [taylor]: Taking taylor expansion of (fabs im) in im
6.176 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.176 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.176 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.176 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.176 * [taylor]: Taking taylor expansion of im in im
6.176 * [backup-simplify]: Simplify 0 into 0
6.176 * [backup-simplify]: Simplify 1 into 1
6.176 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.176 * [taylor]: Taking taylor expansion of re in im
6.176 * [backup-simplify]: Simplify re into re
6.176 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.177 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.177 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.177 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.177 * [backup-simplify]: Simplify (+ 0 0) into 0
6.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.177 * [taylor]: Taking taylor expansion of re in im
6.177 * [backup-simplify]: Simplify re into re
6.177 * [backup-simplify]: Simplify (- re) into (- re)
6.178 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.178 * [backup-simplify]: Simplify (- 0) into 0
6.178 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [backup-simplify]: Simplify (* 1 1) into 1
6.179 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.179 * [backup-simplify]: Simplify (+ 1 0) into 1
6.180 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.181 * [backup-simplify]: Simplify (- 0) into 0
6.181 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.181 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.181 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.182 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.183 * [backup-simplify]: Simplify (+ 0 0) into 0
6.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.183 * [backup-simplify]: Simplify (- 0) into 0
6.184 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.184 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs im)) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in im
6.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.184 * [taylor]: Taking taylor expansion of 2.0 in im
6.184 * [backup-simplify]: Simplify 2.0 into 2.0
6.184 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.185 * [taylor]: Taking taylor expansion of (fabs im) in im
6.185 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.185 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.185 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.185 * [taylor]: Taking taylor expansion of im in im
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify 1 into 1
6.186 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.186 * [taylor]: Taking taylor expansion of re in im
6.186 * [backup-simplify]: Simplify re into re
6.186 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.186 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.186 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.186 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.187 * [taylor]: Taking taylor expansion of re in im
6.187 * [backup-simplify]: Simplify re into re
6.187 * [backup-simplify]: Simplify (- re) into (- re)
6.187 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.187 * [backup-simplify]: Simplify (- 0) into 0
6.188 * [backup-simplify]: Simplify (+ 0 0) into 0
6.188 * [backup-simplify]: Simplify (* 1 1) into 1
6.188 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.189 * [backup-simplify]: Simplify (+ 1 0) into 1
6.190 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.190 * [backup-simplify]: Simplify (- 0) into 0
6.190 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.190 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.190 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.192 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.192 * [backup-simplify]: Simplify (+ 0 0) into 0
6.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.193 * [backup-simplify]: Simplify (- 0) into 0
6.193 * [backup-simplify]: Simplify (+ 0 0) into 0
6.193 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.194 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im))
6.195 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs im)) (* (sqrt 2) (sqrt re))) into (* (* (sqrt 2.0) (* (fabs im) (sqrt 2))) (sqrt re))
6.195 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (* (fabs im) (sqrt 2))) (sqrt re)) in re
6.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs im) (sqrt 2))) in re
6.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.195 * [taylor]: Taking taylor expansion of 2.0 in re
6.195 * [backup-simplify]: Simplify 2.0 into 2.0
6.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.196 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2)) in re
6.196 * [taylor]: Taking taylor expansion of (fabs im) in re
6.196 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.196 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.196 * [taylor]: Taking taylor expansion of 2 in re
6.196 * [backup-simplify]: Simplify 2 into 2
6.197 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.197 * [taylor]: Taking taylor expansion of (sqrt re) in re
6.197 * [taylor]: Taking taylor expansion of re in re
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.198 * [backup-simplify]: Simplify (sqrt 0) into 0
6.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.200 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2)) into (* (sqrt 2) (fabs im))
6.200 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (sqrt 2) (fabs im))) into (* (sqrt 2.0) (* (sqrt 2) (fabs im)))
6.201 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (* (sqrt 2) (fabs im))) 0) into 0
6.201 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0
6.203 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs im)) 0) (* 0 (* (sqrt 2) (sqrt re)))) into 0
6.203 * [taylor]: Taking taylor expansion of 0 in re
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2))) into 0
6.205 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (fabs im)))) into 0
6.206 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (* (sqrt 2) (fabs im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im)))))
6.207 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im))))) into (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im)))))
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.209 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
6.209 * [backup-simplify]: Simplify (+ 0 0) into 0
6.210 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
6.211 * [backup-simplify]: Simplify (- 0) into 0
6.211 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
6.211 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
6.213 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.215 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
6.217 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs im)) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re))))) into (* 1/4 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.217 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
6.217 * [taylor]: Taking taylor expansion of 1/4 in re
6.217 * [backup-simplify]: Simplify 1/4 into 1/4
6.218 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
6.218 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) in re
6.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs im)) in re
6.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.218 * [taylor]: Taking taylor expansion of 2.0 in re
6.218 * [backup-simplify]: Simplify 2.0 into 2.0
6.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.219 * [taylor]: Taking taylor expansion of (fabs im) in re
6.219 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.219 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.219 * [taylor]: Taking taylor expansion of 2 in re
6.219 * [backup-simplify]: Simplify 2 into 2
6.219 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.220 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs im)) into (* (sqrt 2.0) (fabs im))
6.221 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) into (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))
6.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
6.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
6.221 * [taylor]: Taking taylor expansion of (pow re 3) in re
6.221 * [taylor]: Taking taylor expansion of re in re
6.221 * [backup-simplify]: Simplify 0 into 0
6.221 * [backup-simplify]: Simplify 1 into 1
6.222 * [backup-simplify]: Simplify (* 1 1) into 1
6.222 * [backup-simplify]: Simplify (* 1 1) into 1
6.223 * [backup-simplify]: Simplify (/ 1 1) into 1
6.223 * [backup-simplify]: Simplify (sqrt 0) into 0
6.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.229 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs im))) into 0
6.230 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
6.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0
6.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.233 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
6.234 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))
6.235 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))
6.235 * [backup-simplify]: Simplify (* (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)) 0) into 0
6.237 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))
6.237 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)))) into (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2))))
6.237 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.240 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
6.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (fabs im))))) into 0
6.242 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (* (sqrt 2) (fabs im))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im)))))
6.243 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im))))) into (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im)))))
6.247 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (fabs im))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (sqrt 2) (* (fabs im) (pow re 2)))) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) im)) (sqrt 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (* (sqrt 2) (* (fabs im) re))) im)))))))
6.248 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))) (fabs (/ 1 im)))) into (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
6.248 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
6.248 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
6.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.248 * [taylor]: Taking taylor expansion of 2.0 in re
6.248 * [backup-simplify]: Simplify 2.0 into 2.0
6.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.249 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.249 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
6.249 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.249 * [taylor]: Taking taylor expansion of re in re
6.249 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify 1 into 1
6.250 * [backup-simplify]: Simplify (* 1 1) into 1
6.250 * [backup-simplify]: Simplify (/ 1 1) into 1
6.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.250 * [taylor]: Taking taylor expansion of im in re
6.250 * [backup-simplify]: Simplify im into im
6.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.250 * [backup-simplify]: Simplify (+ 1 0) into 1
6.251 * [backup-simplify]: Simplify (sqrt 1) into 1
6.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.252 * [backup-simplify]: Simplify (+ 0 0) into 0
6.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.252 * [taylor]: Taking taylor expansion of re in re
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.252 * [backup-simplify]: Simplify (- 1) into -1
6.253 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (- 0) into 0
6.254 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.255 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.256 * [backup-simplify]: Simplify (- 0) into 0
6.256 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.257 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
6.257 * [backup-simplify]: Simplify (sqrt 0) into 0
6.257 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
6.257 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im
6.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.257 * [taylor]: Taking taylor expansion of 2.0 in im
6.257 * [backup-simplify]: Simplify 2.0 into 2.0
6.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.258 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
6.258 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.258 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.258 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.258 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.258 * [taylor]: Taking taylor expansion of re in im
6.258 * [backup-simplify]: Simplify re into re
6.258 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.258 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.258 * [taylor]: Taking taylor expansion of im in im
6.258 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ 1 1) into 1
6.260 * [backup-simplify]: Simplify (+ 0 1) into 1
6.260 * [backup-simplify]: Simplify (sqrt 1) into 1
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.262 * [backup-simplify]: Simplify (+ 0 0) into 0
6.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.262 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.262 * [taylor]: Taking taylor expansion of re in im
6.262 * [backup-simplify]: Simplify re into re
6.263 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.263 * [backup-simplify]: Simplify (+ 1 0) into 1
6.263 * [backup-simplify]: Simplify (/ 1 1) into 1
6.264 * [backup-simplify]: Simplify (sqrt 0) into 0
6.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.265 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ 1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in im
6.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.265 * [taylor]: Taking taylor expansion of 2.0 in im
6.265 * [backup-simplify]: Simplify 2.0 into 2.0
6.266 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.266 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
6.266 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.266 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.266 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.267 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.267 * [taylor]: Taking taylor expansion of re in im
6.267 * [backup-simplify]: Simplify re into re
6.267 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.267 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.267 * [taylor]: Taking taylor expansion of im in im
6.267 * [backup-simplify]: Simplify 0 into 0
6.267 * [backup-simplify]: Simplify 1 into 1
6.267 * [backup-simplify]: Simplify (* 1 1) into 1
6.268 * [backup-simplify]: Simplify (/ 1 1) into 1
6.268 * [backup-simplify]: Simplify (+ 0 1) into 1
6.269 * [backup-simplify]: Simplify (sqrt 1) into 1
6.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.271 * [taylor]: Taking taylor expansion of re in im
6.271 * [backup-simplify]: Simplify re into re
6.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.271 * [backup-simplify]: Simplify (+ 1 0) into 1
6.271 * [backup-simplify]: Simplify (/ 1 1) into 1
6.272 * [backup-simplify]: Simplify (sqrt 0) into 0
6.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.273 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.273 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ 1 im))) 0) into 0
6.273 * [taylor]: Taking taylor expansion of 0 in re
6.273 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
6.274 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.274 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) in re
6.274 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
6.274 * [taylor]: Taking taylor expansion of +nan.0 in re
6.274 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.274 * [taylor]: Taking taylor expansion of 2.0 in re
6.274 * [backup-simplify]: Simplify 2.0 into 2.0
6.274 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.275 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.275 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.275 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
6.276 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
6.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.277 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
6.278 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)))))
6.278 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))))) in re
6.278 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)))) in re
6.278 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
6.278 * [taylor]: Taking taylor expansion of +nan.0 in re
6.278 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.278 * [taylor]: Taking taylor expansion of 2.0 in re
6.278 * [backup-simplify]: Simplify 2.0 into 2.0
6.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.279 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.279 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re))) in re
6.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re
6.279 * [taylor]: Taking taylor expansion of +nan.0 in re
6.279 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.279 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re
6.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.279 * [taylor]: Taking taylor expansion of 2.0 in re
6.279 * [backup-simplify]: Simplify 2.0 into 2.0
6.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.280 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.280 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.280 * [taylor]: Taking taylor expansion of re in re
6.280 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify 1 into 1
6.280 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.281 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.281 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
6.281 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.282 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.282 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.282 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.283 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.283 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
6.283 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.283 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.286 * [backup-simplify]: Simplify (- 0) into 0
6.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.287 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.288 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0
6.290 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))))))
6.290 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))))))) in re
6.290 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))))) in re
6.290 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) in re
6.290 * [taylor]: Taking taylor expansion of +nan.0 in re
6.290 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.290 * [taylor]: Taking taylor expansion of 2.0 in re
6.290 * [backup-simplify]: Simplify 2.0 into 2.0
6.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.290 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.291 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))))) in re
6.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))))) in re
6.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) re)) in re
6.291 * [taylor]: Taking taylor expansion of +nan.0 in re
6.291 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.291 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) re) in re
6.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.291 * [taylor]: Taking taylor expansion of 2.0 in re
6.291 * [backup-simplify]: Simplify 2.0 into 2.0
6.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.292 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.292 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.292 * [taylor]: Taking taylor expansion of re in re
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 1 into 1
6.292 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.292 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)))) in re
6.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2))) in re
6.292 * [taylor]: Taking taylor expansion of +nan.0 in re
6.292 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.292 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ 1 im))) (pow re 2)) in re
6.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ 1 im))) in re
6.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.292 * [taylor]: Taking taylor expansion of 2.0 in re
6.292 * [backup-simplify]: Simplify 2.0 into 2.0
6.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.293 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.293 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.293 * [taylor]: Taking taylor expansion of re in re
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ 1 im))) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ 1 im))) 1) into (* (sqrt 2.0) (fabs (/ 1 im)))
6.294 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))
6.295 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ 1 im)))) into 0
6.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ 1 im))) (/ 0 1)))) into 0
6.297 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ 1 im))))) into 0
6.297 * [backup-simplify]: Simplify (- 0) into 0
6.297 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.298 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.298 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.298 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.299 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 im)))))
6.300 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ 1 (/ 1 im)))))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 3))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 2))))))))
6.301 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))) (fabs (/ 1 (- im))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
6.301 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
6.301 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
6.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.301 * [taylor]: Taking taylor expansion of 2.0 in re
6.301 * [backup-simplify]: Simplify 2.0 into 2.0
6.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.302 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.302 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
6.302 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.302 * [taylor]: Taking taylor expansion of re in re
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 1 into 1
6.302 * [backup-simplify]: Simplify (/ 1 1) into 1
6.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.302 * [taylor]: Taking taylor expansion of re in re
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (* 1 1) into 1
6.303 * [backup-simplify]: Simplify (/ 1 1) into 1
6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.303 * [taylor]: Taking taylor expansion of im in re
6.303 * [backup-simplify]: Simplify im into im
6.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.304 * [backup-simplify]: Simplify (+ 1 0) into 1
6.304 * [backup-simplify]: Simplify (sqrt 1) into 1
6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.306 * [backup-simplify]: Simplify (+ 0 0) into 0
6.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.307 * [backup-simplify]: Simplify (+ 1 1) into 2
6.307 * [backup-simplify]: Simplify (/ 1 2) into 1/2
6.308 * [backup-simplify]: Simplify (sqrt 0) into 0
6.309 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
6.309 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
6.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.309 * [taylor]: Taking taylor expansion of 2.0 in im
6.309 * [backup-simplify]: Simplify 2.0 into 2.0
6.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.310 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
6.310 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.311 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.311 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.311 * [taylor]: Taking taylor expansion of re in im
6.311 * [backup-simplify]: Simplify re into re
6.311 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.311 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.311 * [taylor]: Taking taylor expansion of re in im
6.311 * [backup-simplify]: Simplify re into re
6.311 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.311 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.311 * [taylor]: Taking taylor expansion of im in im
6.311 * [backup-simplify]: Simplify 0 into 0
6.311 * [backup-simplify]: Simplify 1 into 1
6.312 * [backup-simplify]: Simplify (* 1 1) into 1
6.312 * [backup-simplify]: Simplify (/ 1 1) into 1
6.312 * [backup-simplify]: Simplify (+ 0 1) into 1
6.313 * [backup-simplify]: Simplify (sqrt 1) into 1
6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.315 * [backup-simplify]: Simplify (+ 0 0) into 0
6.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.316 * [backup-simplify]: Simplify (+ 0 1) into 1
6.316 * [backup-simplify]: Simplify (/ 1 1) into 1
6.317 * [backup-simplify]: Simplify (sqrt 0) into 0
6.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.318 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
6.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.318 * [taylor]: Taking taylor expansion of 2.0 in im
6.318 * [backup-simplify]: Simplify 2.0 into 2.0
6.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.319 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
6.319 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.319 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.319 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.320 * [taylor]: Taking taylor expansion of re in im
6.320 * [backup-simplify]: Simplify re into re
6.320 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.320 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.320 * [taylor]: Taking taylor expansion of re in im
6.320 * [backup-simplify]: Simplify re into re
6.320 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.320 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.320 * [taylor]: Taking taylor expansion of im in im
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (* 1 1) into 1
6.321 * [backup-simplify]: Simplify (/ 1 1) into 1
6.321 * [backup-simplify]: Simplify (+ 0 1) into 1
6.322 * [backup-simplify]: Simplify (sqrt 1) into 1
6.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.325 * [backup-simplify]: Simplify (+ 0 0) into 0
6.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.326 * [backup-simplify]: Simplify (+ 0 1) into 1
6.326 * [backup-simplify]: Simplify (/ 1 1) into 1
6.327 * [backup-simplify]: Simplify (sqrt 0) into 0
6.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.329 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.329 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
6.329 * [taylor]: Taking taylor expansion of 0 in re
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
6.331 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
6.331 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
6.331 * [taylor]: Taking taylor expansion of +nan.0 in re
6.331 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.331 * [taylor]: Taking taylor expansion of 2.0 in re
6.331 * [backup-simplify]: Simplify 2.0 into 2.0
6.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.333 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.333 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.333 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.334 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
6.334 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.335 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
6.336 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
6.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
6.340 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))
6.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))) in re
6.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))) in re
6.340 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
6.340 * [taylor]: Taking taylor expansion of +nan.0 in re
6.340 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.340 * [taylor]: Taking taylor expansion of 2.0 in re
6.340 * [backup-simplify]: Simplify 2.0 into 2.0
6.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.342 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.342 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re
6.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
6.342 * [taylor]: Taking taylor expansion of +nan.0 in re
6.342 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.342 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
6.342 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.342 * [taylor]: Taking taylor expansion of 2.0 in re
6.342 * [backup-simplify]: Simplify 2.0 into 2.0
6.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.343 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.343 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.343 * [taylor]: Taking taylor expansion of re in re
6.343 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify 1 into 1
6.344 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.344 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.345 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.345 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
6.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
6.349 * [backup-simplify]: Simplify (- 0) into 0
6.349 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.350 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.351 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
6.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
6.353 * [backup-simplify]: Simplify (- 0) into 0
6.353 * [backup-simplify]: Simplify 0 into 0
6.353 * [backup-simplify]: Simplify 0 into 0
6.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.355 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.357 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.357 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.358 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.361 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
6.364 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))))
6.364 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))))) in re
6.364 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))))) in re
6.364 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
6.364 * [taylor]: Taking taylor expansion of +nan.0 in re
6.364 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.364 * [taylor]: Taking taylor expansion of 2.0 in re
6.364 * [backup-simplify]: Simplify 2.0 into 2.0
6.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.365 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.365 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.365 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))))) in re
6.365 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)))) in re
6.365 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
6.365 * [taylor]: Taking taylor expansion of +nan.0 in re
6.366 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.366 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
6.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.366 * [taylor]: Taking taylor expansion of 2.0 in re
6.366 * [backup-simplify]: Simplify 2.0 into 2.0
6.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.370 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.370 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.370 * [taylor]: Taking taylor expansion of re in re
6.370 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify 1 into 1
6.371 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.371 * [backup-simplify]: Simplify (* 1 1) into 1
6.371 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re))) in re
6.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
6.372 * [taylor]: Taking taylor expansion of +nan.0 in re
6.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.372 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
6.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
6.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.372 * [taylor]: Taking taylor expansion of 2.0 in re
6.372 * [backup-simplify]: Simplify 2.0 into 2.0
6.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.373 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.373 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.373 * [taylor]: Taking taylor expansion of re in re
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.374 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.375 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
6.375 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
6.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.377 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
6.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
6.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.384 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0
6.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
6.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
6.387 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
6.387 * [backup-simplify]: Simplify (- 0) into 0
6.388 * [backup-simplify]: Simplify (+ 0 0) into 0
6.388 * [backup-simplify]: Simplify (- 0) into 0
6.389 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.389 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.390 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
6.392 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 3))))))))
6.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
6.393 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) into (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (/ 1 (fabs im)))
6.393 * [approximate]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (/ 1 (fabs im))) in (im re) around 0
6.393 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (/ 1 (fabs im))) in re
6.393 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
6.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.393 * [taylor]: Taking taylor expansion of im in re
6.393 * [backup-simplify]: Simplify im into im
6.393 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.393 * [taylor]: Taking taylor expansion of re in re
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 1 into 1
6.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.394 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.394 * [backup-simplify]: Simplify (+ 0 0) into 0
6.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.394 * [taylor]: Taking taylor expansion of re in re
6.394 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify 1 into 1
6.395 * [backup-simplify]: Simplify (- 0) into 0
6.395 * [backup-simplify]: Simplify (+ im 0) into im
6.395 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.395 * [backup-simplify]: Simplify (- 1) into -1
6.396 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
6.396 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in re
6.396 * [taylor]: Taking taylor expansion of (fabs im) in re
6.396 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.396 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im))
6.396 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (/ 1 (fabs im))) in im
6.396 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.396 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.396 * [taylor]: Taking taylor expansion of im in im
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.396 * [taylor]: Taking taylor expansion of re in im
6.397 * [backup-simplify]: Simplify re into re
6.397 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.397 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.397 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.397 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.397 * [backup-simplify]: Simplify (+ 0 0) into 0
6.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.398 * [taylor]: Taking taylor expansion of re in im
6.398 * [backup-simplify]: Simplify re into re
6.398 * [backup-simplify]: Simplify (- re) into (- re)
6.398 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.398 * [backup-simplify]: Simplify (- 0) into 0
6.398 * [backup-simplify]: Simplify (+ 0 0) into 0
6.399 * [backup-simplify]: Simplify (* 1 1) into 1
6.399 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.400 * [backup-simplify]: Simplify (+ 1 0) into 1
6.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.401 * [backup-simplify]: Simplify (- 0) into 0
6.401 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.401 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
6.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.404 * [backup-simplify]: Simplify (- 0) into 0
6.404 * [backup-simplify]: Simplify (+ 0 0) into 0
6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
6.404 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im
6.404 * [taylor]: Taking taylor expansion of (fabs im) in im
6.404 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.404 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im))
6.404 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) (/ 1 (fabs im))) in im
6.404 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.404 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.405 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.405 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.405 * [taylor]: Taking taylor expansion of im in im
6.405 * [backup-simplify]: Simplify 0 into 0
6.405 * [backup-simplify]: Simplify 1 into 1
6.405 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.405 * [taylor]: Taking taylor expansion of re in im
6.405 * [backup-simplify]: Simplify re into re
6.405 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.405 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.405 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.405 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.406 * [taylor]: Taking taylor expansion of re in im
6.406 * [backup-simplify]: Simplify re into re
6.406 * [backup-simplify]: Simplify (- re) into (- re)
6.406 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.406 * [backup-simplify]: Simplify (- 0) into 0
6.407 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (* 1 1) into 1
6.408 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.408 * [backup-simplify]: Simplify (+ 1 0) into 1
6.409 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.409 * [backup-simplify]: Simplify (- 0) into 0
6.409 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.409 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
6.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.411 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.411 * [backup-simplify]: Simplify (+ 0 0) into 0
6.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.412 * [backup-simplify]: Simplify (- 0) into 0
6.412 * [backup-simplify]: Simplify (+ 0 0) into 0
6.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
6.412 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im
6.412 * [taylor]: Taking taylor expansion of (fabs im) in im
6.412 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.413 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im))
6.413 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 re)) (sqrt 1/2)) (/ 1 (fabs im))) into (* (sqrt (/ 1 re)) (/ (sqrt 1/2) (fabs im)))
6.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ (sqrt 1/2) (fabs im))) in re
6.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re
6.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.413 * [taylor]: Taking taylor expansion of re in re
6.413 * [backup-simplify]: Simplify 0 into 0
6.413 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.414 * [backup-simplify]: Simplify (sqrt 0) into 0
6.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.415 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) (fabs im)) in re
6.415 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
6.415 * [taylor]: Taking taylor expansion of 1/2 in re
6.415 * [backup-simplify]: Simplify 1/2 into 1/2
6.415 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
6.416 * [taylor]: Taking taylor expansion of (fabs im) in re
6.416 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.416 * [backup-simplify]: Simplify (/ (sqrt 1/2) (fabs im)) into (/ (sqrt 1/2) (fabs im))
6.417 * [backup-simplify]: Simplify (- (/ 0 (fabs im)) (+ (* (/ (sqrt 1/2) (fabs im)) (/ 0 (fabs im))))) into 0
6.417 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ (sqrt 1/2) (fabs im)))) into (- (* +nan.0 (/ (sqrt 1/2) (fabs im))))
6.417 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (fabs im)))) into (- (* +nan.0 (/ (sqrt 1/2) (fabs im))))
6.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))))) into 0
6.418 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 re)) (sqrt 1/2)) 0) (* 0 (/ 1 (fabs im)))) into 0
6.418 * [taylor]: Taking taylor expansion of 0 in re
6.418 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
6.419 * [backup-simplify]: Simplify (- (/ 0 (fabs im)) (+ (* (/ (sqrt 1/2) (fabs im)) (/ 0 (fabs im))) (* 0 (/ 0 (fabs im))))) into 0
6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.421 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ (sqrt 1/2) (fabs im))))) into (- (* +nan.0 (/ (sqrt 1/2) (fabs im))))
6.422 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (fabs im)))) into (- (* +nan.0 (/ (sqrt 1/2) (fabs im))))
6.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))) (* 0 (/ 0 (fabs im))))) into 0
6.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.424 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
6.424 * [backup-simplify]: Simplify (+ 0 0) into 0
6.424 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
6.425 * [backup-simplify]: Simplify (- 0) into 0
6.425 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
6.426 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))
6.427 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 re)) (sqrt 1/2)) 0) (+ (* 0 0) (* (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) (/ 1 (fabs im))))) into (- (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (* (fabs im) (sqrt 1/2))))))
6.427 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (* (fabs im) (sqrt 1/2)))))) in re
6.427 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (* (fabs im) (sqrt 1/2))))) in re
6.427 * [taylor]: Taking taylor expansion of 1/16 in re
6.427 * [backup-simplify]: Simplify 1/16 into 1/16
6.427 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow re 5))) (/ 1 (* (fabs im) (sqrt 1/2)))) in re
6.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
6.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
6.427 * [taylor]: Taking taylor expansion of (pow re 5) in re
6.427 * [taylor]: Taking taylor expansion of re in re
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 1 into 1
6.427 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (/ 1 1) into 1
6.428 * [backup-simplify]: Simplify (sqrt 0) into 0
6.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.429 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs im) (sqrt 1/2))) in re
6.429 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re
6.429 * [taylor]: Taking taylor expansion of (fabs im) in re
6.429 * [backup-simplify]: Simplify (fabs im) into (fabs im)
6.429 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re
6.429 * [taylor]: Taking taylor expansion of 1/2 in re
6.429 * [backup-simplify]: Simplify 1/2 into 1/2
6.430 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
6.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
6.430 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2))
6.431 * [backup-simplify]: Simplify (/ 1 (* (fabs im) (sqrt 1/2))) into (/ 1 (* (fabs im) (sqrt 1/2)))
6.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
6.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
6.432 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
6.433 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0
6.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (fabs im) (sqrt 1/2))) (/ 0 (* (fabs im) (sqrt 1/2)))))) into 0
6.434 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
6.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (fabs im) (sqrt 1/2))) (/ 0 (* (fabs im) (sqrt 1/2)))) (* 0 (/ 0 (* (fabs im) (sqrt 1/2)))))) into 0
6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (fabs im) (sqrt 1/2))) (/ 0 (* (fabs im) (sqrt 1/2)))) (* 0 (/ 0 (* (fabs im) (sqrt 1/2)))) (* 0 (/ 0 (* (fabs im) (sqrt 1/2)))))) into 0
6.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.443 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2))))))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.455 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.456 * [backup-simplify]: Simplify (* 0 (/ 1 (* (fabs im) (sqrt 1/2)))) into 0
6.458 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.459 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.459 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2)))))
6.461 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (* (fabs im) (sqrt 1/2))))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (/ (sqrt 1/2) (fabs im)))) (* re im)) (* (- (* +nan.0 (/ (sqrt 1/2) (fabs im)))) (* 1 im)))) into (- (+ (* +nan.0 (/ (pow im 3) (* (fabs im) (sqrt 1/2)))) (- (+ (* +nan.0 (/ (* re (* im (sqrt 1/2))) (fabs im))) (- (* +nan.0 (/ (* im (sqrt 1/2)) (fabs im))))))))
6.461 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))) (fabs (/ 1 im))) into (* (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (/ 1 (fabs (/ 1 im))))
6.461 * [approximate]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (/ 1 (fabs (/ 1 im)))) in (im re) around 0
6.462 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (/ 1 (fabs (/ 1 im)))) in re
6.462 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.462 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.462 * [taylor]: Taking taylor expansion of re in re
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 1 into 1
6.462 * [backup-simplify]: Simplify (* 1 1) into 1
6.462 * [backup-simplify]: Simplify (/ 1 1) into 1
6.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.463 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.463 * [taylor]: Taking taylor expansion of im in re
6.463 * [backup-simplify]: Simplify im into im
6.463 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.463 * [backup-simplify]: Simplify (+ 1 0) into 1
6.463 * [backup-simplify]: Simplify (sqrt 1) into 1
6.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.465 * [backup-simplify]: Simplify (+ 0 0) into 0
6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.466 * [taylor]: Taking taylor expansion of re in re
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [backup-simplify]: Simplify (/ 1 1) into 1
6.466 * [backup-simplify]: Simplify (- 1) into -1
6.467 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.468 * [backup-simplify]: Simplify (- 0) into 0
6.468 * [backup-simplify]: Simplify (+ 0 0) into 0
6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.470 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.471 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.472 * [backup-simplify]: Simplify (- 0) into 0
6.472 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.473 * [backup-simplify]: Simplify (sqrt 0) into 0
6.473 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.473 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re
6.473 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.473 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.474 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.474 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (/ 1 (fabs (/ 1 im)))) in im
6.474 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.474 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.474 * [taylor]: Taking taylor expansion of re in im
6.474 * [backup-simplify]: Simplify re into re
6.474 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.474 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.474 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.474 * [taylor]: Taking taylor expansion of im in im
6.474 * [backup-simplify]: Simplify 0 into 0
6.474 * [backup-simplify]: Simplify 1 into 1
6.474 * [backup-simplify]: Simplify (* 1 1) into 1
6.475 * [backup-simplify]: Simplify (/ 1 1) into 1
6.475 * [backup-simplify]: Simplify (+ 0 1) into 1
6.475 * [backup-simplify]: Simplify (sqrt 1) into 1
6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.477 * [backup-simplify]: Simplify (+ 0 0) into 0
6.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.478 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.478 * [taylor]: Taking taylor expansion of re in im
6.478 * [backup-simplify]: Simplify re into re
6.478 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.478 * [backup-simplify]: Simplify (+ 1 0) into 1
6.478 * [backup-simplify]: Simplify (sqrt 0) into 0
6.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.480 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im
6.480 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
6.480 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.480 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.480 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) (/ 1 (fabs (/ 1 im)))) in im
6.480 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.480 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.480 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.480 * [taylor]: Taking taylor expansion of re in im
6.480 * [backup-simplify]: Simplify re into re
6.480 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.480 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.480 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.480 * [taylor]: Taking taylor expansion of im in im
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify (* 1 1) into 1
6.481 * [backup-simplify]: Simplify (/ 1 1) into 1
6.482 * [backup-simplify]: Simplify (+ 0 1) into 1
6.482 * [backup-simplify]: Simplify (sqrt 1) into 1
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.483 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.484 * [taylor]: Taking taylor expansion of re in im
6.484 * [backup-simplify]: Simplify re into re
6.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.485 * [backup-simplify]: Simplify (+ 1 0) into 1
6.485 * [backup-simplify]: Simplify (sqrt 0) into 0
6.486 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.486 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im
6.486 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
6.486 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.486 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.486 * [backup-simplify]: Simplify (* 0 (/ 1 (fabs (/ 1 im)))) into 0
6.486 * [taylor]: Taking taylor expansion of 0 in re
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0
6.487 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in re
6.487 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in re
6.487 * [taylor]: Taking taylor expansion of +nan.0 in re
6.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.487 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re
6.487 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.487 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.488 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.488 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im)))
6.488 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.488 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0
6.488 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.492 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
6.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* (* +nan.0 (+ (/ 1 re) (- +nan.0))) (/ 1 (fabs (/ 1 im)))))) into (- (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))))
6.493 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) in re
6.493 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) in re
6.493 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) in re
6.493 * [taylor]: Taking taylor expansion of +nan.0 in re
6.493 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.494 * [taylor]: Taking taylor expansion of (/ 1 (* re (fabs (/ 1 im)))) in re
6.494 * [taylor]: Taking taylor expansion of (* re (fabs (/ 1 im))) in re
6.494 * [taylor]: Taking taylor expansion of re in re
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.494 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.494 * [backup-simplify]: Simplify (* 0 (fabs (/ 1 im))) into 0
6.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (fabs (/ 1 im)))) into (fabs (/ 1 im))
6.494 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in re
6.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in re
6.495 * [taylor]: Taking taylor expansion of +nan.0 in re
6.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.495 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re
6.495 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.495 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.495 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fabs (/ 1 im))))) into 0
6.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0
6.496 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0
6.497 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im)))
6.497 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.497 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.497 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.497 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0
6.498 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0
6.498 * [backup-simplify]: Simplify (- 0) into 0
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0
6.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.506 * [backup-simplify]: Simplify (- 0) into 0
6.506 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.508 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (+ (/ 1 re) (- +nan.0))) 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (/ 1 (fabs (/ 1 im))))))) into (- (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (+ (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))))))
6.510 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (+ (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))))) in re
6.510 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) (- (+ (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))))) in re
6.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* re (fabs (/ 1 im))))) in re
6.510 * [taylor]: Taking taylor expansion of +nan.0 in re
6.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.510 * [taylor]: Taking taylor expansion of (/ 1 (* re (fabs (/ 1 im)))) in re
6.510 * [taylor]: Taking taylor expansion of (* re (fabs (/ 1 im))) in re
6.510 * [taylor]: Taking taylor expansion of re in re
6.510 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify 1 into 1
6.510 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.510 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.510 * [backup-simplify]: Simplify (* 0 (fabs (/ 1 im))) into 0
6.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (fabs (/ 1 im)))) into (fabs (/ 1 im))
6.511 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.511 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) in re
6.511 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) in re
6.511 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ 1 im))))) in re
6.511 * [taylor]: Taking taylor expansion of +nan.0 in re
6.511 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.511 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) (fabs (/ 1 im)))) in re
6.511 * [taylor]: Taking taylor expansion of (* (pow re 2) (fabs (/ 1 im))) in re
6.511 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.511 * [taylor]: Taking taylor expansion of re in re
6.511 * [backup-simplify]: Simplify 0 into 0
6.511 * [backup-simplify]: Simplify 1 into 1
6.511 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.511 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.512 * [backup-simplify]: Simplify (* 1 1) into 1
6.512 * [backup-simplify]: Simplify (* 1 (fabs (/ 1 im))) into (fabs (/ 1 im))
6.512 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in re
6.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in re
6.512 * [taylor]: Taking taylor expansion of +nan.0 in re
6.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.512 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re
6.512 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
6.512 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
6.512 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im)))
6.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fabs (/ 1 im))))) into 0
6.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0
6.514 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0
6.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0
6.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (fabs (/ 1 im)))) into 0
6.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0
6.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0
6.519 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (fabs (/ 1 im)))))) into 0
6.519 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im)))
6.519 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.519 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.519 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.520 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.520 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.520 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))
6.521 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))) (* 1 (/ 1 im))) (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))))) into (- (+ (* +nan.0 (/ 1 (* (fabs im) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (fabs im) im))) (- (* +nan.0 (/ 1 (fabs im))))))))
6.522 * [backup-simplify]: Simplify (/ (sqrt (- (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))) (fabs (/ 1 (- im)))) into (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (/ 1 (fabs (/ -1 im))))
6.522 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (/ 1 (fabs (/ -1 im)))) in (im re) around 0
6.522 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (/ 1 (fabs (/ -1 im)))) in re
6.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
6.522 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.522 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.522 * [taylor]: Taking taylor expansion of re in re
6.522 * [backup-simplify]: Simplify 0 into 0
6.522 * [backup-simplify]: Simplify 1 into 1
6.522 * [backup-simplify]: Simplify (/ 1 1) into 1
6.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.522 * [taylor]: Taking taylor expansion of re in re
6.523 * [backup-simplify]: Simplify 0 into 0
6.523 * [backup-simplify]: Simplify 1 into 1
6.523 * [backup-simplify]: Simplify (* 1 1) into 1
6.523 * [backup-simplify]: Simplify (/ 1 1) into 1
6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.523 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.523 * [taylor]: Taking taylor expansion of im in re
6.523 * [backup-simplify]: Simplify im into im
6.523 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.524 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.524 * [backup-simplify]: Simplify (+ 1 0) into 1
6.524 * [backup-simplify]: Simplify (sqrt 1) into 1
6.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.526 * [backup-simplify]: Simplify (+ 0 0) into 0
6.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.527 * [backup-simplify]: Simplify (+ 1 1) into 2
6.527 * [backup-simplify]: Simplify (sqrt 0) into 0
6.528 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.528 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re
6.528 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.528 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.529 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.529 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (/ 1 (fabs (/ -1 im)))) in im
6.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.529 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.529 * [taylor]: Taking taylor expansion of re in im
6.529 * [backup-simplify]: Simplify re into re
6.529 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.529 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.529 * [taylor]: Taking taylor expansion of re in im
6.529 * [backup-simplify]: Simplify re into re
6.529 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.529 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.529 * [taylor]: Taking taylor expansion of im in im
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 1 into 1
6.530 * [backup-simplify]: Simplify (* 1 1) into 1
6.530 * [backup-simplify]: Simplify (/ 1 1) into 1
6.530 * [backup-simplify]: Simplify (+ 0 1) into 1
6.531 * [backup-simplify]: Simplify (sqrt 1) into 1
6.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (+ 0 0) into 0
6.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.533 * [backup-simplify]: Simplify (+ 0 1) into 1
6.533 * [backup-simplify]: Simplify (sqrt 0) into 0
6.535 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.535 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in im
6.535 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
6.535 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.535 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.535 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) (/ 1 (fabs (/ -1 im)))) in im
6.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.535 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.535 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.535 * [taylor]: Taking taylor expansion of re in im
6.535 * [backup-simplify]: Simplify re into re
6.535 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.535 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.535 * [taylor]: Taking taylor expansion of re in im
6.535 * [backup-simplify]: Simplify re into re
6.535 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.536 * [taylor]: Taking taylor expansion of im in im
6.536 * [backup-simplify]: Simplify 0 into 0
6.536 * [backup-simplify]: Simplify 1 into 1
6.536 * [backup-simplify]: Simplify (* 1 1) into 1
6.536 * [backup-simplify]: Simplify (/ 1 1) into 1
6.537 * [backup-simplify]: Simplify (+ 0 1) into 1
6.537 * [backup-simplify]: Simplify (sqrt 1) into 1
6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.539 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.540 * [backup-simplify]: Simplify (+ 0 1) into 1
6.540 * [backup-simplify]: Simplify (sqrt 0) into 0
6.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.541 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in im
6.541 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
6.542 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.542 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.542 * [backup-simplify]: Simplify (* 0 (/ 1 (fabs (/ -1 im)))) into 0
6.542 * [taylor]: Taking taylor expansion of 0 in re
6.542 * [backup-simplify]: Simplify 0 into 0
6.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0
6.543 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (fabs (/ -1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ -1 im))))) in re
6.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ -1 im)))) in re
6.543 * [taylor]: Taking taylor expansion of +nan.0 in re
6.543 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.543 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re
6.543 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.543 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.543 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.543 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0
6.544 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
6.545 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
6.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (/ 1 re) +nan.0)) (/ 1 (fabs (/ -1 im)))))) into (- (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))))
6.546 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (* +nan.0 (/ 1 (fabs (/ -1 im))))))) in re
6.546 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))) in re
6.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) in re
6.546 * [taylor]: Taking taylor expansion of +nan.0 in re
6.546 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.546 * [taylor]: Taking taylor expansion of (/ 1 (* re (fabs (/ -1 im)))) in re
6.546 * [taylor]: Taking taylor expansion of (* re (fabs (/ -1 im))) in re
6.546 * [taylor]: Taking taylor expansion of re in re
6.546 * [backup-simplify]: Simplify 0 into 0
6.546 * [backup-simplify]: Simplify 1 into 1
6.546 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.546 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.546 * [backup-simplify]: Simplify (* 0 (fabs (/ -1 im))) into 0
6.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (fabs (/ -1 im)))) into (fabs (/ -1 im))
6.547 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.547 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ -1 im))))) in re
6.547 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ -1 im)))) in re
6.547 * [taylor]: Taking taylor expansion of +nan.0 in re
6.547 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.547 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re
6.547 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.547 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.547 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.547 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ -1 im)))) into (/ +nan.0 (fabs (/ -1 im)))
6.548 * [backup-simplify]: Simplify (+ (/ +nan.0 (fabs (/ -1 im))) 0) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.548 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.548 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ -1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.548 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ -1 im)))) into (/ +nan.0 (fabs (/ -1 im)))
6.548 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.548 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ -1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.548 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0
6.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.551 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.553 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
6.554 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (/ 1 re) +nan.0)) 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (/ 1 (fabs (/ -1 im))))))) into (- (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (+ (* +nan.0 (/ 1 (fabs (/ -1 im)))) (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im))))))))))
6.555 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (+ (* +nan.0 (/ 1 (fabs (/ -1 im)))) (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im)))))))))) in re
6.555 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) (- (+ (* +nan.0 (/ 1 (fabs (/ -1 im)))) (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im))))))))) in re
6.555 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* re (fabs (/ -1 im))))) in re
6.555 * [taylor]: Taking taylor expansion of +nan.0 in re
6.555 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.555 * [taylor]: Taking taylor expansion of (/ 1 (* re (fabs (/ -1 im)))) in re
6.555 * [taylor]: Taking taylor expansion of (* re (fabs (/ -1 im))) in re
6.555 * [taylor]: Taking taylor expansion of re in re
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [backup-simplify]: Simplify 1 into 1
6.555 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.555 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.555 * [backup-simplify]: Simplify (* 0 (fabs (/ -1 im))) into 0
6.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (fabs (/ -1 im)))) into (fabs (/ -1 im))
6.556 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.556 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (fabs (/ -1 im)))) (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im)))))))) in re
6.556 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (fabs (/ -1 im)))) (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im))))))) in re
6.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ -1 im)))) in re
6.556 * [taylor]: Taking taylor expansion of +nan.0 in re
6.556 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.556 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re
6.556 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.556 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.556 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im)))))) in re
6.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow re 2) (fabs (/ -1 im))))) in re
6.556 * [taylor]: Taking taylor expansion of +nan.0 in re
6.556 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.556 * [taylor]: Taking taylor expansion of (/ 1 (* (pow re 2) (fabs (/ -1 im)))) in re
6.556 * [taylor]: Taking taylor expansion of (* (pow re 2) (fabs (/ -1 im))) in re
6.556 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.556 * [taylor]: Taking taylor expansion of re in re
6.556 * [backup-simplify]: Simplify 0 into 0
6.556 * [backup-simplify]: Simplify 1 into 1
6.556 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
6.556 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
6.556 * [backup-simplify]: Simplify (* 1 1) into 1
6.557 * [backup-simplify]: Simplify (* 1 (fabs (/ -1 im))) into (fabs (/ -1 im))
6.557 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im)))
6.557 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ -1 im)))) into (/ +nan.0 (fabs (/ -1 im)))
6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (fabs (/ -1 im)))) into 0
6.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0
6.558 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ -1 im))))) into 0
6.558 * [backup-simplify]: Simplify (- 0) into 0
6.558 * [backup-simplify]: Simplify (+ 0 0) into 0
6.559 * [backup-simplify]: Simplify (- 0) into 0
6.559 * [backup-simplify]: Simplify (+ (/ +nan.0 (fabs (/ -1 im))) 0) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.559 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.559 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ -1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ -1 im)))))
6.560 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (/ 1 (fabs (/ -1 (/ 1 (- im))))))) (* (- (* +nan.0 (/ 1 (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ 1 (fabs im))) (- (+ (* +nan.0 (/ re (* (fabs im) im))) (- (* +nan.0 (/ re (* (fabs im) (pow im 2)))))))))
6.560 * * * [progress]: simplifying candidates
6.566 * [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))))
  (/ (exp (sqrt (+ (* im im) (* re re)))) (exp re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))
  (+ (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (+ (* re re) (* (sqrt (+ (* im im) (* re re))) re)))
  (- re)
  (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re))
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (- (log (sqrt 2.0)) (- (log (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (log (fabs im))))
  (- (log (sqrt 2.0)) (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (log (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (exp (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (* (fabs im) (fabs im)) (fabs im))))
  (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (* (cbrt (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (cbrt (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))
  (cbrt (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (* (* (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (sqrt (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (sqrt (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (- (sqrt 2.0))
  (- (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (cbrt (sqrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt 1) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ 1 (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ 1 (sqrt (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ 1 1))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (cbrt (sqrt 2.0)) (/ 1 (fabs im)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (cbrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt (cbrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt (cbrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt 1) (sqrt (fabs im))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt 1) 1))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
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  (/ 1 (* (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))
  (/ (sqrt 2.0) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ 1 (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt 2.0) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ 1 (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ 1 (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ 1 (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt 2.0) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ 1 (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ 1 (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ 1 (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt 2.0) (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ 1 (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ 1 (/ (sqrt 1) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im))))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im))))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ 1 (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (/ 1 (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ 1 (/ (sqrt 1) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ 1 (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (/ 1 (/ 1 (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im))))
  (/ 1 (/ 1 (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im))))
  (/ 1 (/ 1 1))
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ 1 1)
  (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt 2.0) (/ 1 (fabs im)))
  (/ 1 (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))
  (/ (sqrt 2.0) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt 2.0) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt 2.0) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 1))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (sqrt 2.0) (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt 1) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt 1) 1))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1))
  (/ (sqrt 2.0) (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt 1) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt 1) 1))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1))
  (/ (sqrt 2.0) (/ 1 (* (cbrt (fabs im)) (cbrt (fabs im)))))
  (/ (sqrt 2.0) (/ 1 (sqrt (fabs im))))
  (/ (sqrt 2.0) (/ 1 1))
  (/ (sqrt 2.0) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (cbrt (sqrt 2.0)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt (cbrt 2.0)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt 2.0))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (- (log (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (log (fabs im)))
  (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (exp (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (* (fabs im) (fabs im)) (fabs im)))
  (* (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (* (* (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (- (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (- (fabs im))
  (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1)
  (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 1)
  (/ (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1)
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im)))
  (/ (sqrt 1) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  (/ (sqrt 1) 1)
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im)))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im)))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1)
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im)))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im)))
  (/ (sqrt (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1)
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im))
  (/ (sqrt 1) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im)))
  (/ (sqrt 1) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  (/ (sqrt 1) 1)
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1)
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (/ 1 (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im)))
  (/ 1 (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  (/ 1 1)
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ 1 (fabs im))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1)
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs im) (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (+ (* re re) (* (sqrt (+ (* im im) (* re re))) re)))))
  (* (fabs im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  re
  im
  (* -1 im)
  0
  (- im re)
  (- (+ re im))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (sqrt 2) (* (fabs im) (pow re 2)))) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) im)) (sqrt 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (* (sqrt 2) (* (fabs im) re))) im)))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 3))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) (* (fabs im) re)) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 2))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (pow im 3) (* (fabs im) (sqrt 1/2)))) (- (+ (* +nan.0 (/ (* re (* im (sqrt 1/2))) (fabs im))) (- (* +nan.0 (/ (* im (sqrt 1/2)) (fabs im))))))))
  (- (+ (* +nan.0 (/ 1 (* (fabs im) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (fabs im) im))) (- (* +nan.0 (/ 1 (fabs im))))))))
  (- (+ (* +nan.0 (/ 1 (fabs im))) (- (+ (* +nan.0 (/ re (* (fabs im) im))) (- (* +nan.0 (/ re (* (fabs im) (pow im 2)))))))))
6.575 * * [simplify]: iteration 0: 446 enodes
6.708 * * [simplify]: iteration 1: 1174 enodes
7.058 * * [simplify]: iteration complete: 5000 enodes
7.059 * * [simplify]: Extracting #0: cost 264 inf + 0
7.061 * * [simplify]: Extracting #1: cost 1356 inf + 7
7.067 * * [simplify]: Extracting #2: cost 1691 inf + 270
7.073 * * [simplify]: Extracting #3: cost 1871 inf + 1662
7.081 * * [simplify]: Extracting #4: cost 1550 inf + 4734
7.088 * * [simplify]: Extracting #5: cost 936 inf + 13313
7.102 * * [simplify]: Extracting #6: cost 144 inf + 27793
7.110 * * [simplify]: Extracting #7: cost 0 inf + 31237
7.122 * [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 (* im im) 3) (pow (* re re) 3)))
  (sqrt (+ (* re (* re (- (* re re) (* im im)))) (* (pow im 3) im)))
  (sqrt (- (* (pow im 3) im) (* (pow re 3) re)))
  (sqrt (- (* im im) (* re re)))
  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 (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re)))
  (- re)
  (+ (* im im) (- (* re re) (* re re)))
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ 2.0 (/ (pow (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 3) (pow (fabs im) 3))) (sqrt 2.0))
  (/ (sqrt 2.0) (/ (pow (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) 3) 2.0))
  (* (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (pow (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 3)
  (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt 2.0))
  (- (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (cbrt (sqrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
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  (/ (* (cbrt (sqrt 2.0)) (cbrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
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  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
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  (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (fabs im)) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
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  (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
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  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt 2.0))))
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  (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
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  (/ (* (cbrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
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  (/ (* (cbrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
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  (* (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (* (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt 2.0)))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
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  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 2.0)) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (fabs im))) (cbrt (fabs im)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (fabs im)))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
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  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
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  (/ (cbrt (sqrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt 2.0))))
  (* (cbrt (sqrt 2.0)) (fabs im))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (cbrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (fabs (cbrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (cbrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (* (/ (fabs (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (cbrt 2.0)) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (* (/ (fabs (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (fabs im))
  (/ (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (fabs (cbrt 2.0)) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (cbrt 2.0)) (fabs im)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (fabs im)))
  (/ (* (fabs (cbrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (cbrt 2.0)) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs (cbrt 2.0)) (sqrt (fabs im)))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (fabs (cbrt 2.0)) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (/ (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (fabs (cbrt 2.0)) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im)))
  (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs (cbrt 2.0)) (sqrt (fabs im)))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (fabs im)))
  (/ (* (fabs (cbrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (cbrt 2.0)) (fabs im)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (fabs (cbrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (cbrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs (cbrt 2.0)) (sqrt (fabs im)))
  (/ (* (sqrt (cbrt 2.0)) (sqrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))
  (/ (fabs (cbrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (cbrt 2.0)) (fabs im))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (fabs im)))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (fabs im))
  (/ (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (fabs im))
  (/ (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (fabs im)))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (sqrt (sqrt 2.0))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
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  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (sqrt (fabs im)))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (sqrt (fabs im)))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (fabs im)))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (sqrt (sqrt 2.0))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (fabs im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im)))
  (* (sqrt (sqrt 2.0)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (* (sqrt (sqrt 2.0)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (fabs im)))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (sqrt (sqrt 2.0))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (sqrt 2.0))
  (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (sqrt 2.0)) (fabs im))
  (/ (/ 1 (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt 2.0) (cbrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ 1 (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (sqrt 2.0) (sqrt (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))))
  (/ (/ 1 (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))) (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im))))
  (* (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (fabs im)))
  (/ 1 (/ (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))
  (/ (* (sqrt 2.0) (sqrt (fabs im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt 2.0) (fabs im)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* 1 (* (cbrt (fabs im)) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt 2.0) (cbrt (fabs im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (* (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (fabs im)))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (sqrt 2.0) (fabs im)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* 1 (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
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  1
  (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
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  1
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  1
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  (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im))
  (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (cbrt (fabs im)))
  (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (sqrt (fabs im)))
  (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))
  (/ (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im))
  (/ (/ 1 (cbrt (fabs im))) (cbrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im)))
  (/ 1 (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  1
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (fabs im)))
  (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))
  (/ (/ 1 (cbrt (fabs im))) (cbrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (fabs im)))
  (/ 1 (sqrt (fabs im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  1
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (/ 1 (fabs im))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (fabs im)) (cbrt (fabs im))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (fabs im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (fabs im) (sqrt (+ (* re (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re)))))
  (* (fabs im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  re
  im
  (- im)
  0
  (- im re)
  (- (+ re im))
  (+ (- (/ (* (* (* (fabs im) (* re re)) (* (sqrt 2) (sqrt 2.0))) +nan.0) im)) (* +nan.0 (- (/ (sqrt 2.0) (/ (sqrt 2) (* im (fabs im)))) (/ (sqrt 2.0) (/ im (* (sqrt 2) (* (fabs im) re)))))))
  (+ (- (* +nan.0 (/ (* (sqrt 2.0) (fabs im)) (/ (pow im 3) re)))) (* +nan.0 (- (/ (sqrt 2.0) (/ im (fabs im))) (/ (* (* (sqrt 2.0) (fabs im)) re) (* im im)))))
  (+ (* (- (/ (sqrt 2.0) (/ im (fabs im)))) +nan.0) (* +nan.0 (- (/ (* (sqrt 2.0) (fabs im)) (* im im)) (/ (sqrt 2.0) (/ (pow im 3) (fabs im))))))
  (- (- (/ (* (/ (pow im 3) (fabs im)) +nan.0) (sqrt 1/2)) (* +nan.0 (- (* (/ re (fabs im)) (* im (sqrt 1/2))) (/ im (/ (fabs im) (sqrt 1/2)))))))
  (- (+ (- (/ (/ +nan.0 (fabs im)) (* im im)) (/ (/ +nan.0 im) (fabs im))) (/ +nan.0 (fabs im))))
  (+ (* +nan.0 (- (/ re (* im (fabs im))) (/ re (* (fabs im) (* im im))))) (- (/ +nan.0 (fabs im))))
7.126 * * * [progress]: adding candidates to table
8.558 * [progress]: [Phase 3 of 3] Extracting.
8.558 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
8.560 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
8.560 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
8.662 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))>)
8.731 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
8.906 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
9.093 * * * [regime]: Found split indices: #<option (#s(si 0 22) #s(si 9 67) #s(si 4 81) #s(si 1 98) #s(si 4 116) #s(si 3 122) #s(si 4 150) #s(si 3 196) #s(si 5 255))>
9.094 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
9.768 * [regimes]: Found splitpoints: (#s(sp 0 im -1.4416321179650907e+130) #s(sp 9 im -2.189611672069496e-76) #s(sp 4 im -4.1901150214330935e-106) #s(sp 1 im -1.6780346236389051e-192) #s(sp 4 im -2.2028395894896082e-271) #s(sp 3 im -2.3070544319749688e-297) #s(sp 4 im 5.6193227086801054e-154) #s(sp 3 im 4.082479651686054e+61) #s(sp 5 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* (- re im) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (- im) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (exp (log (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (- im) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- im re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (/ (* (sqrt (sqrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))>)
9.768 * [simplify]: Simplifying:
  (if (<= im -1.4416321179650907e+130) (* 0.5 (sqrt (* (- re im) 2.0))) (if (<= im -2.189611672069496e-76) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))) (if (<= im -4.1901150214330935e-106) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im -1.6780346236389051e-192) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))) (if (<= im -2.2028395894896082e-271) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im -2.3070544319749688e-297) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (if (<= im 5.6193227086801054e-154) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im 4.082479651686054e+61) (* 0.5 (* (sqrt 2.0) (/ (* 1 (fabs im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (* 0.5 (sqrt (* (+ im re) 2.0)))))))))))
9.769 * * [simplify]: iteration 0: 61 enodes
9.772 * * [simplify]: iteration 1: 77 enodes
9.774 * * [simplify]: iteration 2: 78 enodes
9.777 * * [simplify]: iteration complete: 78 enodes
9.777 * * [simplify]: Extracting #0: cost 1 inf + 0
9.777 * * [simplify]: Extracting #1: cost 4 inf + 0
9.777 * * [simplify]: Extracting #2: cost 11 inf + 0
9.777 * * [simplify]: Extracting #3: cost 14 inf + 3
9.777 * * [simplify]: Extracting #4: cost 19 inf + 10
9.777 * * [simplify]: Extracting #5: cost 24 inf + 12
9.777 * * [simplify]: Extracting #6: cost 28 inf + 23
9.777 * * [simplify]: Extracting #7: cost 26 inf + 59
9.778 * * [simplify]: Extracting #8: cost 31 inf + 66
9.778 * * [simplify]: Extracting #9: cost 29 inf + 81
9.778 * * [simplify]: Extracting #10: cost 23 inf + 117
9.778 * * [simplify]: Extracting #11: cost 17 inf + 211
9.778 * * [simplify]: Extracting #12: cost 12 inf + 275
9.778 * * [simplify]: Extracting #13: cost 9 inf + 317
9.778 * * [simplify]: Extracting #14: cost 8 inf + 325
9.778 * * [simplify]: Extracting #15: cost 7 inf + 356
9.778 * * [simplify]: Extracting #16: cost 6 inf + 399
9.778 * * [simplify]: Extracting #17: cost 5 inf + 465
9.779 * * [simplify]: Extracting #18: cost 4 inf + 543
9.779 * * [simplify]: Extracting #19: cost 2 inf + 761
9.779 * * [simplify]: Extracting #20: cost 1 inf + 899
9.779 * * [simplify]: Extracting #21: cost 0 inf + 1049
9.779 * [simplify]: Simplified to:
  (if (<= im -1.4416321179650907e+130) (* (sqrt (* (- re im) 2.0)) 0.5) (if (<= im -2.189611672069496e-76) (* 0.5 (sqrt (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))) (if (<= im -4.1901150214330935e-106) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im -1.6780346236389051e-192) (* 0.5 (/ (sqrt 2.0) (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (fabs im))))) (if (<= im -2.2028395894896082e-271) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im -2.3070544319749688e-297) (* (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 0.5) (if (<= im 5.6193227086801054e-154) (* 0.5 (sqrt (* (+ re re) 2.0))) (if (<= im 4.082479651686054e+61) (* (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 0.5) (* 0.5 (sqrt (* (+ im re) 2.0)))))))))))
13.525 * [regime-testing]: Baseline error score: 37.16657456923285
13.527 * [regime-testing]: Oracle error score: 5.533297562756305
13.535 * [regime-testing]: End program error score: 22.938196036645216
13.690 * [regime-testing]: Target error score: 33.53843162842311