52.719 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.032 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.036 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.036 * * [simplify]: iteration 0: 12 enodes
0.038 * * [simplify]: iteration 1: 22 enodes
0.040 * * [simplify]: iteration 2: 24 enodes
0.043 * * [simplify]: iteration complete: 24 enodes
0.043 * * [simplify]: Extracting #0: cost 1 inf + 0
0.043 * * [simplify]: Extracting #1: cost 3 inf + 0
0.043 * * [simplify]: Extracting #2: cost 3 inf + 1
0.043 * * [simplify]: Extracting #3: cost 7 inf + 1
0.043 * * [simplify]: Extracting #4: cost 8 inf + 2
0.043 * * [simplify]: Extracting #5: cost 8 inf + 3
0.043 * * [simplify]: Extracting #6: cost 9 inf + 45
0.043 * * [simplify]: Extracting #7: cost 9 inf + 86
0.043 * * [simplify]: Extracting #8: cost 7 inf + 128
0.043 * * [simplify]: Extracting #9: cost 5 inf + 412
0.059 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.059 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.060 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.060 * * [progress]: iteration 1 / 4
0.060 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.064 * * * [progress]: localizing error
0.102 * * * [progress]: generating rewritten candidates
0.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.114 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.193 * * * [progress]: generating series expansions
0.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.194 * [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
0.196 * [taylor]: Taking taylor expansion of im in re
0.196 * [backup-simplify]: Simplify im into im
0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.196 * [taylor]: Taking taylor expansion of re in re
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [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
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [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
0.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.201 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.201 * [taylor]: Taking taylor expansion of 1/2 in im
0.201 * [backup-simplify]: Simplify 1/2 into 1/2
0.201 * [taylor]: Taking taylor expansion of im in im
0.201 * [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
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.205 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.205 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.205 * [taylor]: Taking taylor expansion of re in im
0.205 * [backup-simplify]: Simplify re into re
0.205 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.205 * [taylor]: Taking taylor expansion of im in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (+ 0 1) into 1
0.206 * [backup-simplify]: Simplify (sqrt 1) into 1
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.208 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.208 * [taylor]: Taking taylor expansion of im in re
0.208 * [backup-simplify]: Simplify im into im
0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.209 * [backup-simplify]: Simplify (+ 1 0) into 1
0.209 * [backup-simplify]: Simplify (sqrt 1) into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.211 * [taylor]: Taking taylor expansion of re in re
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.211 * [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)
0.211 * [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
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.214 * [taylor]: Taking taylor expansion of 1 in im
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [taylor]: Taking taylor expansion of 0 in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.216 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.216 * [taylor]: Taking taylor expansion of 1/2 in im
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.216 * [taylor]: Taking taylor expansion of im in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.221 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.221 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.221 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.221 * [taylor]: Taking taylor expansion of re in im
0.221 * [backup-simplify]: Simplify re into re
0.221 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.221 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.221 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [backup-simplify]: Simplify (+ 0 1) into 1
0.222 * [backup-simplify]: Simplify (sqrt 1) into 1
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.224 * [taylor]: Taking taylor expansion of re in re
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.224 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.224 * [taylor]: Taking taylor expansion of im in re
0.224 * [backup-simplify]: Simplify im into im
0.224 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.225 * [backup-simplify]: Simplify (+ 1 0) into 1
0.225 * [backup-simplify]: Simplify (sqrt 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.227 * [taylor]: Taking taylor expansion of im in re
0.227 * [backup-simplify]: Simplify im into im
0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.228 * [backup-simplify]: Simplify (+ 1 0) into 1
0.228 * [backup-simplify]: Simplify (sqrt 1) into 1
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.229 * [taylor]: Taking taylor expansion of 1 in im
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [taylor]: Taking taylor expansion of 0 in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.232 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.232 * [taylor]: Taking taylor expansion of 1/2 in im
0.232 * [backup-simplify]: Simplify 1/2 into 1/2
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.232 * [taylor]: Taking taylor expansion of im in im
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 (/ 1/2 1) into 1/2
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.241 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.241 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.241 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.241 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.241 * [taylor]: Taking taylor expansion of re in im
0.241 * [backup-simplify]: Simplify re into re
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.241 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.241 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.241 * [taylor]: Taking taylor expansion of im in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.241 * [taylor]: Taking taylor expansion of re in im
0.241 * [backup-simplify]: Simplify re into re
0.241 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.242 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.242 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.242 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.242 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.243 * [taylor]: Taking taylor expansion of re in re
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.243 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.243 * [taylor]: Taking taylor expansion of im in re
0.243 * [backup-simplify]: Simplify im into im
0.243 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.243 * [taylor]: Taking taylor expansion of re in re
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.243 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.243 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.244 * [taylor]: Taking taylor expansion of im in re
0.244 * [backup-simplify]: Simplify im into im
0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.244 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 im) into im
0.245 * [taylor]: Taking taylor expansion of im in im
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (+ 1 0) into 1
0.246 * [taylor]: Taking taylor expansion of 1 in im
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.247 * [backup-simplify]: Simplify (* 1 1) into 1
0.247 * [backup-simplify]: Simplify (+ 0 1) into 1
0.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.248 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.248 * [taylor]: Taking taylor expansion of 1/2 in im
0.248 * [backup-simplify]: Simplify 1/2 into 1/2
0.249 * [taylor]: Taking taylor expansion of (/ 1 im) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [taylor]: Taking taylor expansion of 0 in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.256 * [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)))))
0.256 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.256 * [taylor]: Taking taylor expansion of re in im
0.256 * [backup-simplify]: Simplify re into re
0.256 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.256 * [taylor]: Taking taylor expansion of re in im
0.256 * [backup-simplify]: Simplify re into re
0.257 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.257 * [taylor]: Taking taylor expansion of im in im
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.258 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [backup-simplify]: Simplify (+ 0 1) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.262 * [taylor]: Taking taylor expansion of re in re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.263 * [taylor]: Taking taylor expansion of im in re
0.263 * [backup-simplify]: Simplify im into im
0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.267 * [taylor]: Taking taylor expansion of re in re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.268 * [taylor]: Taking taylor expansion of im in re
0.268 * [backup-simplify]: Simplify im into im
0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.269 * [backup-simplify]: Simplify (+ 1 0) into 1
0.269 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.273 * [backup-simplify]: Simplify (+ 1 1) into 2
0.273 * [taylor]: Taking taylor expansion of 2 in im
0.273 * [backup-simplify]: Simplify 2 into 2
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 2 into 2
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.278 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.278 * [taylor]: Taking taylor expansion of 1/2 in im
0.279 * [backup-simplify]: Simplify 1/2 into 1/2
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.279 * [taylor]: Taking taylor expansion of im in im
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.290 * [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))
0.290 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.291 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.291 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.291 * [taylor]: Taking taylor expansion of re in im
0.291 * [backup-simplify]: Simplify re into re
0.291 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.291 * [taylor]: Taking taylor expansion of im in im
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [backup-simplify]: Simplify (+ 0 1) into 1
0.296 * [backup-simplify]: Simplify (sqrt 1) into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.298 * [taylor]: Taking taylor expansion of re in im
0.298 * [backup-simplify]: Simplify re into re
0.298 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.299 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.301 * [backup-simplify]: Simplify (+ 1 0) into 1
0.301 * [backup-simplify]: Simplify (sqrt 1) into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.305 * [taylor]: Taking taylor expansion of im in re
0.305 * [backup-simplify]: Simplify im into im
0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.306 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [backup-simplify]: Simplify (sqrt 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [backup-simplify]: Simplify (- 1) into -1
0.310 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (- 0) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.316 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- 0) into 0
0.317 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.317 * [taylor]: Taking taylor expansion of 1/2 in im
0.317 * [backup-simplify]: Simplify 1/2 into 1/2
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.317 * [taylor]: Taking taylor expansion of im in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [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
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- 0) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [taylor]: Taking taylor expansion of 0 in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.325 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.325 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.325 * [taylor]: Taking taylor expansion of im in re
0.325 * [backup-simplify]: Simplify im into im
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.325 * [taylor]: Taking taylor expansion of re in re
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.325 * [taylor]: Taking taylor expansion of im in re
0.325 * [backup-simplify]: Simplify im into im
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.325 * [taylor]: Taking taylor expansion of re in re
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.325 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in im
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.326 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (+ 0 1) into 1
0.326 * [taylor]: Taking taylor expansion of 1 in im
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.331 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.331 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.331 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.331 * [taylor]: Taking taylor expansion of re in im
0.331 * [backup-simplify]: Simplify re into re
0.331 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.331 * [taylor]: Taking taylor expansion of im in im
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.332 * [taylor]: Taking taylor expansion of im in re
0.332 * [backup-simplify]: Simplify im into im
0.332 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.334 * [taylor]: Taking taylor expansion of 1 in im
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [taylor]: Taking taylor expansion of 0 in im
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.336 * [taylor]: Taking taylor expansion of im in im
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [taylor]: Taking taylor expansion of 0 in im
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.343 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.343 * [taylor]: Taking taylor expansion of re in im
0.343 * [backup-simplify]: Simplify re into re
0.343 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.344 * [taylor]: Taking taylor expansion of re in re
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (* 1 1) into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.344 * [taylor]: Taking taylor expansion of im in re
0.344 * [backup-simplify]: Simplify im into im
0.344 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.344 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.345 * [taylor]: Taking taylor expansion of re in re
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
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.346 * [taylor]: Taking taylor expansion of 1 in im
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.349 * [taylor]: Taking taylor expansion of im in im
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [taylor]: Taking taylor expansion of 0 in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [taylor]: Taking taylor expansion of 0 in im
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.358 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.358 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.358 * [taylor]: Taking taylor expansion of 2.0 in im
0.358 * [backup-simplify]: Simplify 2.0 into 2.0
0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.359 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.359 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.359 * [taylor]: Taking taylor expansion of re in im
0.359 * [backup-simplify]: Simplify re into re
0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.359 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.359 * [taylor]: Taking taylor expansion of im in im
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.359 * [taylor]: Taking taylor expansion of re in im
0.359 * [backup-simplify]: Simplify re into re
0.359 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.359 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.360 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.360 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.360 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.360 * [taylor]: Taking taylor expansion of 2.0 in re
0.360 * [backup-simplify]: Simplify 2.0 into 2.0
0.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.361 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.361 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.361 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.361 * [taylor]: Taking taylor expansion of im in re
0.361 * [backup-simplify]: Simplify im into im
0.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.361 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.362 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 im) into im
0.362 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.362 * [backup-simplify]: Simplify (+ 1 0) into 1
0.362 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.362 * [taylor]: Taking taylor expansion of 2.0 in re
0.362 * [backup-simplify]: Simplify 2.0 into 2.0
0.363 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.363 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.363 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.363 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.363 * [taylor]: Taking taylor expansion of im in re
0.363 * [backup-simplify]: Simplify im into im
0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.364 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 im) into im
0.364 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.365 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.365 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) 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)
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.365 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.365 * [taylor]: Taking taylor expansion of im in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (sqrt 0) into 0
0.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.367 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.368 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.368 * [taylor]: Taking taylor expansion of 1/2 in im
0.368 * [backup-simplify]: Simplify 1/2 into 1/2
0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.368 * [taylor]: Taking taylor expansion of 2.0 in im
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.368 * [taylor]: Taking taylor expansion of im in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (sqrt 0) into 0
0.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.371 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.374 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.377 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.377 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (+ 0 1) into 1
0.378 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.378 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.378 * [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))))
0.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.380 * [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)))))
0.380 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.380 * [taylor]: Taking taylor expansion of 1/8 in im
0.380 * [backup-simplify]: Simplify 1/8 into 1/8
0.380 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.380 * [taylor]: Taking taylor expansion of 2.0 in im
0.380 * [backup-simplify]: Simplify 2.0 into 2.0
0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.380 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.380 * [taylor]: Taking taylor expansion of im in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.381 * [backup-simplify]: Simplify (/ 1 1) into 1
0.381 * [backup-simplify]: Simplify (sqrt 0) into 0
0.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.391 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.393 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.401 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.407 * [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)))))))
0.407 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.407 * [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
0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.407 * [taylor]: Taking taylor expansion of 2.0 in im
0.407 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.411 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.411 * [taylor]: Taking taylor expansion of re in im
0.411 * [backup-simplify]: Simplify re into re
0.411 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.411 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.411 * [taylor]: Taking taylor expansion of re in im
0.411 * [backup-simplify]: Simplify re into re
0.411 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.412 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.412 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.412 * [taylor]: Taking taylor expansion of im in im
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify (+ 0 1) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.417 * [backup-simplify]: Simplify (+ 0 1) into 1
0.417 * [backup-simplify]: Simplify (sqrt 0) into 0
0.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.419 * [taylor]: Taking taylor expansion of 2.0 in re
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.420 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.421 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.421 * [taylor]: Taking taylor expansion of re in re
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.422 * [taylor]: Taking taylor expansion of im in re
0.422 * [backup-simplify]: Simplify im into im
0.422 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.423 * [backup-simplify]: Simplify (sqrt 1) into 1
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.426 * [backup-simplify]: Simplify (+ 1 1) into 2
0.426 * [backup-simplify]: Simplify (sqrt 0) into 0
0.427 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.427 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.427 * [taylor]: Taking taylor expansion of 2.0 in re
0.428 * [backup-simplify]: Simplify 2.0 into 2.0
0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (/ 1 1) into 1
0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (* 1 1) into 1
0.430 * [backup-simplify]: Simplify (/ 1 1) into 1
0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.430 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.430 * [taylor]: Taking taylor expansion of im in re
0.430 * [backup-simplify]: Simplify im into im
0.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.430 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.431 * [backup-simplify]: Simplify (+ 1 0) into 1
0.431 * [backup-simplify]: Simplify (sqrt 1) into 1
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.433 * [backup-simplify]: Simplify (+ 1 1) into 2
0.433 * [backup-simplify]: Simplify (sqrt 0) into 0
0.434 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.434 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.434 * [taylor]: Taking taylor expansion of 0 in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.435 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.435 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.435 * [taylor]: Taking taylor expansion of +nan.0 in im
0.435 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.435 * [taylor]: Taking taylor expansion of 2.0 in im
0.435 * [backup-simplify]: Simplify 2.0 into 2.0
0.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.441 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.441 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.441 * [taylor]: Taking taylor expansion of +nan.0 in im
0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.441 * [taylor]: Taking taylor expansion of 2.0 in im
0.441 * [backup-simplify]: Simplify 2.0 into 2.0
0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.442 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.444 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.447 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.448 * [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))
0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.450 * [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))))))
0.450 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.450 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) 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 (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.451 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.451 * [taylor]: Taking taylor expansion of +nan.0 in im
0.451 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.451 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.451 * [taylor]: Taking taylor expansion of 2.0 in im
0.451 * [backup-simplify]: Simplify 2.0 into 2.0
0.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.452 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.452 * [taylor]: Taking taylor expansion of im in im
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [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
0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.454 * [backup-simplify]: Simplify (- 0) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.456 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.457 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.457 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify (- 0) into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [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)))
0.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.464 * [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))))))
0.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.464 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.464 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.464 * [taylor]: Taking taylor expansion of +nan.0 in im
0.464 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.464 * [taylor]: Taking taylor expansion of 2.0 in im
0.464 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.464 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.465 * [taylor]: Taking taylor expansion of +nan.0 in im
0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.465 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.465 * [taylor]: Taking taylor expansion of 2.0 in im
0.465 * [backup-simplify]: Simplify 2.0 into 2.0
0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.477 * [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)))
0.481 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.486 * [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))))))))
0.486 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.486 * [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
0.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.487 * [taylor]: Taking taylor expansion of 2.0 in im
0.487 * [backup-simplify]: Simplify 2.0 into 2.0
0.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.488 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.488 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.488 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.488 * [taylor]: Taking taylor expansion of re in im
0.488 * [backup-simplify]: Simplify re into re
0.488 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.488 * [taylor]: Taking taylor expansion of im in im
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [backup-simplify]: Simplify (+ 0 1) into 1
0.490 * [backup-simplify]: Simplify (sqrt 1) into 1
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [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 im
0.493 * [taylor]: Taking taylor expansion of re in im
0.493 * [backup-simplify]: Simplify re into re
0.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.494 * [backup-simplify]: Simplify (+ 1 0) into 1
0.494 * [backup-simplify]: Simplify (sqrt 0) into 0
0.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.496 * [taylor]: Taking taylor expansion of 2.0 in re
0.496 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.497 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.497 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.497 * [taylor]: Taking taylor expansion of re in re
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.498 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.498 * [taylor]: Taking taylor expansion of im in re
0.498 * [backup-simplify]: Simplify im into im
0.498 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [backup-simplify]: Simplify (sqrt 1) into 1
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.502 * [taylor]: Taking taylor expansion of re in re
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.503 * [backup-simplify]: Simplify (- 1) into -1
0.503 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- 0) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.510 * [backup-simplify]: Simplify (sqrt 0) into 0
0.511 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.511 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.511 * [taylor]: Taking taylor expansion of 2.0 in re
0.511 * [backup-simplify]: Simplify 2.0 into 2.0
0.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.512 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.512 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.513 * [taylor]: Taking taylor expansion of re in re
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.513 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.513 * [taylor]: Taking taylor expansion of im in re
0.514 * [backup-simplify]: Simplify im into im
0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.514 * [backup-simplify]: Simplify (+ 1 0) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.518 * [backup-simplify]: Simplify (/ 1 1) into 1
0.518 * [backup-simplify]: Simplify (- 1) into -1
0.518 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.523 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.525 * [backup-simplify]: Simplify (sqrt 0) into 0
0.526 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.527 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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)
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.529 * [taylor]: Taking taylor expansion of im in im
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.531 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.534 * [backup-simplify]: Simplify (- 0) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- 0) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.545 * [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))))
0.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (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
0.546 * [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
0.547 * [taylor]: Taking taylor expansion of im in im
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.560 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.562 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.564 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.564 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.565 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.566 * [taylor]: Taking taylor expansion of +nan.0 in im
0.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.566 * [taylor]: Taking taylor expansion of 2.0 in im
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.567 * [taylor]: Taking taylor expansion of im in im
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.567 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (* 1 1) into 1
0.568 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.605 * [backup-simplify]: Simplify (- 0) into 0
0.606 * [backup-simplify]: Simplify (+ 0 0) into 0
0.606 * [backup-simplify]: Simplify (- 0) into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * * * [progress]: simplifying candidates
0.608 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
0.610 * * [simplify]: iteration 0: 108 enodes
0.647 * * [simplify]: iteration 1: 291 enodes
0.837 * * [simplify]: iteration 2: 1381 enodes
1.362 * * [simplify]: iteration complete: 5001 enodes
1.362 * * [simplify]: Extracting #0: cost 55 inf + 0
1.364 * * [simplify]: Extracting #1: cost 403 inf + 46
1.372 * * [simplify]: Extracting #2: cost 1666 inf + 6142
1.417 * * [simplify]: Extracting #3: cost 1544 inf + 100732
1.487 * * [simplify]: Extracting #4: cost 273 inf + 323335
1.588 * * [simplify]: Extracting #5: cost 56 inf + 375649
1.685 * * [simplify]: Extracting #6: cost 8 inf + 384750
1.779 * * [simplify]: Extracting #7: cost 0 inf + 387094
1.868 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re)))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (+ re im) (- re im))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))))
  (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 (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (- (* +nan.0 (* (* re re) (sqrt 2.0)))) (* (* +nan.0 (sqrt 2.0)) (- im re)))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* +nan.0 (sqrt 2.0))))
  0
1.873 * * * [progress]: adding candidates to table
2.257 * * [progress]: iteration 2 / 4
2.257 * * * [progress]: picking best candidate
2.281 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.281 * * * [progress]: localizing error
2.334 * * * [progress]: generating rewritten candidates
2.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.359 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.466 * * * [progress]: generating series expansions
2.466 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.466 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.466 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.467 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.467 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.467 * [taylor]: Taking taylor expansion of im in im
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.467 * [taylor]: Taking taylor expansion of re in im
2.467 * [backup-simplify]: Simplify re into re
2.467 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.467 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.467 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.467 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.468 * [backup-simplify]: Simplify (+ 0 0) into 0
2.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.468 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.468 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.468 * [taylor]: Taking taylor expansion of im in re
2.468 * [backup-simplify]: Simplify im into im
2.468 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.468 * [taylor]: Taking taylor expansion of re in re
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 1 into 1
2.468 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.468 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.468 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.468 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.468 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.469 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.469 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.469 * [taylor]: Taking taylor expansion of im in re
2.469 * [backup-simplify]: Simplify im into im
2.469 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.469 * [taylor]: Taking taylor expansion of re in re
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.469 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.469 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.469 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.469 * [taylor]: Taking taylor expansion of im in im
2.469 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [taylor]: Taking taylor expansion of 0 in im
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.470 * [backup-simplify]: Simplify (* 1 1) into 1
2.471 * [backup-simplify]: Simplify (+ 0 1) into 1
2.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.471 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.471 * [taylor]: Taking taylor expansion of 1/2 in im
2.471 * [backup-simplify]: Simplify 1/2 into 1/2
2.471 * [taylor]: Taking taylor expansion of im in im
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.473 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.473 * [taylor]: Taking taylor expansion of 0 in im
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.474 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.474 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.474 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.474 * [taylor]: Taking taylor expansion of re in im
2.474 * [backup-simplify]: Simplify re into re
2.474 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.475 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.475 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.475 * [taylor]: Taking taylor expansion of im in im
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (* 1 1) into 1
2.475 * [backup-simplify]: Simplify (/ 1 1) into 1
2.475 * [backup-simplify]: Simplify (+ 0 1) into 1
2.476 * [backup-simplify]: Simplify (sqrt 1) into 1
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.477 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.477 * [taylor]: Taking taylor expansion of re in re
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (* 1 1) into 1
2.478 * [backup-simplify]: Simplify (/ 1 1) into 1
2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.478 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.478 * [taylor]: Taking taylor expansion of im in re
2.478 * [backup-simplify]: Simplify im into im
2.478 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.478 * [backup-simplify]: Simplify (+ 1 0) into 1
2.479 * [backup-simplify]: Simplify (sqrt 1) into 1
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (+ 0 0) into 0
2.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.480 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.480 * [taylor]: Taking taylor expansion of re in re
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (* 1 1) into 1
2.481 * [backup-simplify]: Simplify (/ 1 1) into 1
2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.481 * [taylor]: Taking taylor expansion of im in re
2.481 * [backup-simplify]: Simplify im into im
2.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.481 * [backup-simplify]: Simplify (+ 1 0) into 1
2.481 * [backup-simplify]: Simplify (sqrt 1) into 1
2.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify (+ 0 0) into 0
2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.483 * [taylor]: Taking taylor expansion of 1 in im
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [taylor]: Taking taylor expansion of 0 in im
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.485 * [taylor]: Taking taylor expansion of 1/2 in im
2.485 * [backup-simplify]: Simplify 1/2 into 1/2
2.485 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.485 * [taylor]: Taking taylor expansion of im in im
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (* 1 1) into 1
2.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.489 * [taylor]: Taking taylor expansion of 0 in im
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.490 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.490 * [taylor]: Taking taylor expansion of re in im
2.490 * [backup-simplify]: Simplify re into re
2.490 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.490 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.490 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.490 * [taylor]: Taking taylor expansion of im in im
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (* 1 1) into 1
2.491 * [backup-simplify]: Simplify (/ 1 1) into 1
2.492 * [backup-simplify]: Simplify (+ 0 1) into 1
2.492 * [backup-simplify]: Simplify (sqrt 1) into 1
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ 0 0) into 0
2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.495 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.495 * [taylor]: Taking taylor expansion of re in re
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (* 1 1) into 1
2.496 * [backup-simplify]: Simplify (/ 1 1) into 1
2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.496 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.496 * [taylor]: Taking taylor expansion of im in re
2.496 * [backup-simplify]: Simplify im into im
2.496 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.496 * [backup-simplify]: Simplify (+ 1 0) into 1
2.497 * [backup-simplify]: Simplify (sqrt 1) into 1
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.499 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.499 * [taylor]: Taking taylor expansion of re in re
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.500 * [backup-simplify]: Simplify (* 1 1) into 1
2.500 * [backup-simplify]: Simplify (/ 1 1) into 1
2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.500 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.500 * [taylor]: Taking taylor expansion of im in re
2.500 * [backup-simplify]: Simplify im into im
2.500 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.501 * [backup-simplify]: Simplify (+ 1 0) into 1
2.501 * [backup-simplify]: Simplify (sqrt 1) into 1
2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.504 * [taylor]: Taking taylor expansion of 1 in im
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [taylor]: Taking taylor expansion of 0 in im
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.507 * [taylor]: Taking taylor expansion of 1/2 in im
2.507 * [backup-simplify]: Simplify 1/2 into 1/2
2.507 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.507 * [taylor]: Taking taylor expansion of im in im
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.508 * [backup-simplify]: Simplify (* 1 1) into 1
2.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.517 * [taylor]: Taking taylor expansion of 0 in im
2.517 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.519 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.519 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.519 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.519 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.519 * [taylor]: Taking taylor expansion of im in im
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.519 * [taylor]: Taking taylor expansion of re in im
2.519 * [backup-simplify]: Simplify re into re
2.520 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.520 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.520 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.520 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.521 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.521 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.521 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.521 * [taylor]: Taking taylor expansion of im in re
2.521 * [backup-simplify]: Simplify im into im
2.521 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.521 * [taylor]: Taking taylor expansion of re in re
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 1 into 1
2.521 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.521 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.521 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.522 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.522 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.522 * [taylor]: Taking taylor expansion of im in re
2.522 * [backup-simplify]: Simplify im into im
2.522 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.522 * [taylor]: Taking taylor expansion of re in re
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.522 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.522 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.523 * [taylor]: Taking taylor expansion of im in im
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [taylor]: Taking taylor expansion of 0 in im
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.524 * [backup-simplify]: Simplify (* 1 1) into 1
2.524 * [backup-simplify]: Simplify (+ 0 1) into 1
2.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.524 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.524 * [taylor]: Taking taylor expansion of 1/2 in im
2.524 * [backup-simplify]: Simplify 1/2 into 1/2
2.524 * [taylor]: Taking taylor expansion of im in im
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in im
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.527 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.527 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.527 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.527 * [taylor]: Taking taylor expansion of re in im
2.528 * [backup-simplify]: Simplify re into re
2.528 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.528 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.528 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.528 * [taylor]: Taking taylor expansion of im in im
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.528 * [backup-simplify]: Simplify (* 1 1) into 1
2.528 * [backup-simplify]: Simplify (/ 1 1) into 1
2.528 * [backup-simplify]: Simplify (+ 0 1) into 1
2.529 * [backup-simplify]: Simplify (sqrt 1) into 1
2.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.530 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.530 * [taylor]: Taking taylor expansion of re in re
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.531 * [backup-simplify]: Simplify (* 1 1) into 1
2.531 * [backup-simplify]: Simplify (/ 1 1) into 1
2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.531 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.531 * [taylor]: Taking taylor expansion of im in re
2.531 * [backup-simplify]: Simplify im into im
2.531 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.531 * [backup-simplify]: Simplify (+ 1 0) into 1
2.532 * [backup-simplify]: Simplify (sqrt 1) into 1
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.533 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.533 * [taylor]: Taking taylor expansion of re in re
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.534 * [backup-simplify]: Simplify (* 1 1) into 1
2.534 * [backup-simplify]: Simplify (/ 1 1) into 1
2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.534 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.534 * [taylor]: Taking taylor expansion of im in re
2.534 * [backup-simplify]: Simplify im into im
2.534 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.534 * [backup-simplify]: Simplify (+ 1 0) into 1
2.535 * [backup-simplify]: Simplify (sqrt 1) into 1
2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.536 * [taylor]: Taking taylor expansion of 1 in im
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [taylor]: Taking taylor expansion of 0 in im
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.537 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.538 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.538 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.538 * [taylor]: Taking taylor expansion of 1/2 in im
2.538 * [backup-simplify]: Simplify 1/2 into 1/2
2.538 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.538 * [taylor]: Taking taylor expansion of im in im
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (* 1 1) into 1
2.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.542 * [taylor]: Taking taylor expansion of 0 in im
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.543 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.543 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.543 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.543 * [taylor]: Taking taylor expansion of re in im
2.544 * [backup-simplify]: Simplify re into re
2.544 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.544 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.544 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.544 * [taylor]: Taking taylor expansion of im in im
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 1 into 1
2.544 * [backup-simplify]: Simplify (* 1 1) into 1
2.544 * [backup-simplify]: Simplify (/ 1 1) into 1
2.544 * [backup-simplify]: Simplify (+ 0 1) into 1
2.545 * [backup-simplify]: Simplify (sqrt 1) into 1
2.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.546 * [backup-simplify]: Simplify (+ 0 0) into 0
2.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.546 * [taylor]: Taking taylor expansion of re in re
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.547 * [backup-simplify]: Simplify (* 1 1) into 1
2.547 * [backup-simplify]: Simplify (/ 1 1) into 1
2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.547 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.547 * [taylor]: Taking taylor expansion of im in re
2.547 * [backup-simplify]: Simplify im into im
2.547 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.547 * [backup-simplify]: Simplify (+ 1 0) into 1
2.547 * [backup-simplify]: Simplify (sqrt 1) into 1
2.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify (+ 0 0) into 0
2.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.549 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.549 * [taylor]: Taking taylor expansion of re in re
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (* 1 1) into 1
2.549 * [backup-simplify]: Simplify (/ 1 1) into 1
2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.550 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.550 * [taylor]: Taking taylor expansion of im in re
2.550 * [backup-simplify]: Simplify im into im
2.550 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.550 * [backup-simplify]: Simplify (+ 1 0) into 1
2.550 * [backup-simplify]: Simplify (sqrt 1) into 1
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.552 * [taylor]: Taking taylor expansion of 1 in im
2.552 * [backup-simplify]: Simplify 1 into 1
2.552 * [taylor]: Taking taylor expansion of 0 in im
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 1 into 1
2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.554 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.554 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.554 * [taylor]: Taking taylor expansion of 1/2 in im
2.554 * [backup-simplify]: Simplify 1/2 into 1/2
2.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.554 * [taylor]: Taking taylor expansion of im in im
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 1 into 1
2.554 * [backup-simplify]: Simplify (* 1 1) into 1
2.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.557 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.557 * [backup-simplify]: Simplify (+ 0 0) into 0
2.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.558 * [taylor]: Taking taylor expansion of 0 in im
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.559 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.559 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.559 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.559 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.559 * [taylor]: Taking taylor expansion of re in im
2.559 * [backup-simplify]: Simplify re into re
2.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.559 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.559 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.559 * [taylor]: Taking taylor expansion of im in im
2.559 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify 1 into 1
2.559 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.559 * [taylor]: Taking taylor expansion of re in im
2.559 * [backup-simplify]: Simplify re into re
2.559 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.559 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.560 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.560 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.560 * [backup-simplify]: Simplify (+ 0 0) into 0
2.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.560 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.560 * [taylor]: Taking taylor expansion of re in re
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.560 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.560 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.560 * [taylor]: Taking taylor expansion of im in re
2.560 * [backup-simplify]: Simplify im into im
2.560 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.560 * [taylor]: Taking taylor expansion of re in re
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.560 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.561 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.561 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.561 * [taylor]: Taking taylor expansion of re in re
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 1 into 1
2.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.561 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.561 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.561 * [taylor]: Taking taylor expansion of im in re
2.561 * [backup-simplify]: Simplify im into im
2.561 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.561 * [taylor]: Taking taylor expansion of re in re
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.561 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.561 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.562 * [backup-simplify]: Simplify (+ 0 im) into im
2.562 * [taylor]: Taking taylor expansion of im in im
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify (+ 1 0) into 1
2.562 * [taylor]: Taking taylor expansion of 1 in im
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.563 * [backup-simplify]: Simplify (* 1 1) into 1
2.563 * [backup-simplify]: Simplify (+ 0 1) into 1
2.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.564 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.564 * [taylor]: Taking taylor expansion of 1/2 in im
2.564 * [backup-simplify]: Simplify 1/2 into 1/2
2.564 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.564 * [taylor]: Taking taylor expansion of im in im
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (/ 1 1) into 1
2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.566 * [backup-simplify]: Simplify (+ 0 0) into 0
2.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.567 * [backup-simplify]: Simplify (+ 0 0) into 0
2.567 * [taylor]: Taking taylor expansion of 0 in im
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.568 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.568 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.568 * [taylor]: Taking taylor expansion of re in im
2.568 * [backup-simplify]: Simplify re into re
2.568 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.568 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.568 * [taylor]: Taking taylor expansion of re in im
2.568 * [backup-simplify]: Simplify re into re
2.568 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.569 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.569 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.569 * [taylor]: Taking taylor expansion of im in im
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [backup-simplify]: Simplify (* 1 1) into 1
2.569 * [backup-simplify]: Simplify (/ 1 1) into 1
2.569 * [backup-simplify]: Simplify (+ 0 1) into 1
2.570 * [backup-simplify]: Simplify (sqrt 1) into 1
2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.571 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.571 * [taylor]: Taking taylor expansion of re in re
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.571 * [backup-simplify]: Simplify (/ 1 1) into 1
2.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.572 * [taylor]: Taking taylor expansion of re in re
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (* 1 1) into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.572 * [taylor]: Taking taylor expansion of im in re
2.572 * [backup-simplify]: Simplify im into im
2.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.573 * [backup-simplify]: Simplify (+ 1 0) into 1
2.573 * [backup-simplify]: Simplify (sqrt 1) into 1
2.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.574 * [backup-simplify]: Simplify (+ 0 0) into 0
2.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.575 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.575 * [taylor]: Taking taylor expansion of re in re
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.575 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.575 * [taylor]: Taking taylor expansion of re in re
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.576 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.576 * [taylor]: Taking taylor expansion of im in re
2.576 * [backup-simplify]: Simplify im into im
2.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.576 * [backup-simplify]: Simplify (+ 1 0) into 1
2.576 * [backup-simplify]: Simplify (sqrt 1) into 1
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.578 * [backup-simplify]: Simplify (+ 1 1) into 2
2.578 * [taylor]: Taking taylor expansion of 2 in im
2.578 * [backup-simplify]: Simplify 2 into 2
2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.579 * [taylor]: Taking taylor expansion of 0 in im
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 2 into 2
2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.581 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.581 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.581 * [taylor]: Taking taylor expansion of 1/2 in im
2.581 * [backup-simplify]: Simplify 1/2 into 1/2
2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.581 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.582 * [taylor]: Taking taylor expansion of im in im
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify (* 1 1) into 1
2.582 * [backup-simplify]: Simplify (/ 1 1) into 1
2.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.586 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.586 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [taylor]: Taking taylor expansion of 0 in im
2.586 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.588 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.589 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.589 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.589 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.589 * [taylor]: Taking taylor expansion of re in im
2.589 * [backup-simplify]: Simplify re into re
2.589 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.589 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.589 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.589 * [taylor]: Taking taylor expansion of im in im
2.589 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify 1 into 1
2.589 * [backup-simplify]: Simplify (* 1 1) into 1
2.589 * [backup-simplify]: Simplify (/ 1 1) into 1
2.590 * [backup-simplify]: Simplify (+ 0 1) into 1
2.590 * [backup-simplify]: Simplify (sqrt 1) into 1
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.591 * [taylor]: Taking taylor expansion of re in im
2.591 * [backup-simplify]: Simplify re into re
2.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.591 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.592 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.592 * [taylor]: Taking taylor expansion of re in re
2.592 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify 1 into 1
2.592 * [backup-simplify]: Simplify (* 1 1) into 1
2.592 * [backup-simplify]: Simplify (/ 1 1) into 1
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.592 * [taylor]: Taking taylor expansion of im in re
2.592 * [backup-simplify]: Simplify im into im
2.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.592 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.593 * [backup-simplify]: Simplify (+ 1 0) into 1
2.593 * [backup-simplify]: Simplify (sqrt 1) into 1
2.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.595 * [backup-simplify]: Simplify (+ 0 0) into 0
2.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.596 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.596 * [taylor]: Taking taylor expansion of re in re
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.596 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.596 * [taylor]: Taking taylor expansion of re in re
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.597 * [backup-simplify]: Simplify (* 1 1) into 1
2.597 * [backup-simplify]: Simplify (/ 1 1) into 1
2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.597 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.597 * [taylor]: Taking taylor expansion of im in re
2.597 * [backup-simplify]: Simplify im into im
2.597 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.597 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.598 * [backup-simplify]: Simplify (+ 1 0) into 1
2.598 * [backup-simplify]: Simplify (sqrt 1) into 1
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.601 * [taylor]: Taking taylor expansion of re in re
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 1 into 1
2.602 * [backup-simplify]: Simplify (/ 1 1) into 1
2.602 * [backup-simplify]: Simplify (- 1) into -1
2.602 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.602 * [taylor]: Taking taylor expansion of 0 in im
2.602 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.604 * [backup-simplify]: Simplify (- 0) into 0
2.604 * [backup-simplify]: Simplify (+ 0 0) into 0
2.604 * [taylor]: Taking taylor expansion of 0 in im
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.606 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.607 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.609 * [backup-simplify]: Simplify (- 0) into 0
2.609 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.609 * [taylor]: Taking taylor expansion of 1/2 in im
2.609 * [backup-simplify]: Simplify 1/2 into 1/2
2.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.609 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.609 * [taylor]: Taking taylor expansion of im in im
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (* 1 1) into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.615 * [backup-simplify]: Simplify (+ 0 0) into 0
2.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.617 * [backup-simplify]: Simplify (- 0) into 0
2.618 * [backup-simplify]: Simplify (+ 0 0) into 0
2.618 * [taylor]: Taking taylor expansion of 0 in im
2.618 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify 0 into 0
2.623 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.624 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.624 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.624 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.624 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.624 * [taylor]: Taking taylor expansion of im in im
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify 1 into 1
2.624 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.624 * [taylor]: Taking taylor expansion of re in im
2.625 * [backup-simplify]: Simplify re into re
2.625 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.625 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.625 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.625 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.625 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.626 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.626 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.626 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.626 * [taylor]: Taking taylor expansion of im in re
2.626 * [backup-simplify]: Simplify im into im
2.626 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.626 * [taylor]: Taking taylor expansion of re in re
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 1 into 1
2.626 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.626 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.626 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.626 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.627 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.627 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.627 * [taylor]: Taking taylor expansion of im in re
2.627 * [backup-simplify]: Simplify im into im
2.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.627 * [taylor]: Taking taylor expansion of re in re
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 1 into 1
2.627 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.628 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.628 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.628 * [backup-simplify]: Simplify (+ 0 0) into 0
2.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.628 * [taylor]: Taking taylor expansion of im in im
2.628 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [taylor]: Taking taylor expansion of 0 in im
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.630 * [backup-simplify]: Simplify (* 1 1) into 1
2.630 * [backup-simplify]: Simplify (+ 0 1) into 1
2.631 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.631 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.631 * [taylor]: Taking taylor expansion of 1/2 in im
2.631 * [backup-simplify]: Simplify 1/2 into 1/2
2.631 * [taylor]: Taking taylor expansion of im in im
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.634 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.635 * [taylor]: Taking taylor expansion of 0 in im
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.636 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.637 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.637 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.637 * [taylor]: Taking taylor expansion of re in im
2.637 * [backup-simplify]: Simplify re into re
2.637 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.637 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.637 * [taylor]: Taking taylor expansion of im in im
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (* 1 1) into 1
2.638 * [backup-simplify]: Simplify (/ 1 1) into 1
2.638 * [backup-simplify]: Simplify (+ 0 1) into 1
2.639 * [backup-simplify]: Simplify (sqrt 1) into 1
2.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.640 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.640 * [taylor]: Taking taylor expansion of re in re
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 1 into 1
2.640 * [backup-simplify]: Simplify (* 1 1) into 1
2.641 * [backup-simplify]: Simplify (/ 1 1) into 1
2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.641 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.641 * [taylor]: Taking taylor expansion of im in re
2.641 * [backup-simplify]: Simplify im into im
2.641 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.641 * [backup-simplify]: Simplify (+ 1 0) into 1
2.641 * [backup-simplify]: Simplify (sqrt 1) into 1
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.643 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.643 * [taylor]: Taking taylor expansion of re in re
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 1 into 1
2.643 * [backup-simplify]: Simplify (* 1 1) into 1
2.643 * [backup-simplify]: Simplify (/ 1 1) into 1
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.644 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.644 * [taylor]: Taking taylor expansion of im in re
2.644 * [backup-simplify]: Simplify im into im
2.644 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.644 * [backup-simplify]: Simplify (+ 1 0) into 1
2.644 * [backup-simplify]: Simplify (sqrt 1) into 1
2.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.646 * [taylor]: Taking taylor expansion of 1 in im
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [taylor]: Taking taylor expansion of 0 in im
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.647 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.648 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.648 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.648 * [taylor]: Taking taylor expansion of 1/2 in im
2.648 * [backup-simplify]: Simplify 1/2 into 1/2
2.648 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.648 * [taylor]: Taking taylor expansion of im in im
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (* 1 1) into 1
2.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.651 * [backup-simplify]: Simplify (+ 0 0) into 0
2.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.651 * [taylor]: Taking taylor expansion of 0 in im
2.651 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.653 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.653 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.653 * [taylor]: Taking taylor expansion of re in im
2.653 * [backup-simplify]: Simplify re into re
2.653 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.653 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.653 * [taylor]: Taking taylor expansion of im in im
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (* 1 1) into 1
2.654 * [backup-simplify]: Simplify (/ 1 1) into 1
2.654 * [backup-simplify]: Simplify (+ 0 1) into 1
2.654 * [backup-simplify]: Simplify (sqrt 1) into 1
2.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.655 * [backup-simplify]: Simplify (+ 0 0) into 0
2.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.656 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.656 * [taylor]: Taking taylor expansion of re in re
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.656 * [backup-simplify]: Simplify (* 1 1) into 1
2.656 * [backup-simplify]: Simplify (/ 1 1) into 1
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.656 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.656 * [taylor]: Taking taylor expansion of im in re
2.657 * [backup-simplify]: Simplify im into im
2.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.657 * [backup-simplify]: Simplify (+ 1 0) into 1
2.657 * [backup-simplify]: Simplify (sqrt 1) into 1
2.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ 0 0) into 0
2.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.659 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.659 * [taylor]: Taking taylor expansion of re in re
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (* 1 1) into 1
2.659 * [backup-simplify]: Simplify (/ 1 1) into 1
2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.659 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.659 * [taylor]: Taking taylor expansion of im in re
2.659 * [backup-simplify]: Simplify im into im
2.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.660 * [backup-simplify]: Simplify (+ 1 0) into 1
2.660 * [backup-simplify]: Simplify (sqrt 1) into 1
2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.661 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.661 * [taylor]: Taking taylor expansion of 1 in im
2.661 * [backup-simplify]: Simplify 1 into 1
2.661 * [taylor]: Taking taylor expansion of 0 in im
2.661 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 1 into 1
2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.663 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.664 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.664 * [taylor]: Taking taylor expansion of 1/2 in im
2.664 * [backup-simplify]: Simplify 1/2 into 1/2
2.664 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.664 * [taylor]: Taking taylor expansion of im in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [backup-simplify]: Simplify (* 1 1) into 1
2.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.667 * [taylor]: Taking taylor expansion of 0 in im
2.667 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.669 * * * [progress]: simplifying candidates
2.671 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
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  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
2.676 * * [simplify]: iteration 0: 133 enodes
2.742 * * [simplify]: iteration 1: 300 enodes
2.859 * * [simplify]: iteration 2: 1111 enodes
3.551 * * [simplify]: iteration complete: 5001 enodes
3.551 * * [simplify]: Extracting #0: cost 46 inf + 0
3.554 * * [simplify]: Extracting #1: cost 865 inf + 47
3.563 * * [simplify]: Extracting #2: cost 1581 inf + 1191
3.599 * * [simplify]: Extracting #3: cost 1242 inf + 115788
3.687 * * [simplify]: Extracting #4: cost 279 inf + 395202
3.802 * * [simplify]: Extracting #5: cost 28 inf + 478041
3.936 * * [simplify]: Extracting #6: cost 20 inf + 480891
4.054 * * [simplify]: Extracting #7: cost 6 inf + 482905
4.165 * * [simplify]: Extracting #8: cost 0 inf + 484663
4.257 * [simplify]: Simplified to:
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  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
4.287 * * * [progress]: adding candidates to table
4.951 * * [progress]: iteration 3 / 4
4.951 * * * [progress]: picking best candidate
4.998 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.998 * * * [progress]: localizing error
5.184 * * * [progress]: generating rewritten candidates
5.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
5.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
5.209 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
5.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
5.227 * * * [progress]: generating series expansions
5.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
5.228 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.228 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.228 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.228 * [taylor]: Taking taylor expansion of im in im
5.228 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify 1 into 1
5.228 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.228 * [taylor]: Taking taylor expansion of re in im
5.228 * [backup-simplify]: Simplify re into re
5.228 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.228 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.228 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.228 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.229 * [backup-simplify]: Simplify (+ 0 0) into 0
5.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.229 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.229 * [taylor]: Taking taylor expansion of im in re
5.229 * [backup-simplify]: Simplify im into im
5.229 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.229 * [taylor]: Taking taylor expansion of re in re
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify 1 into 1
5.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.229 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.229 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.230 * [backup-simplify]: Simplify (+ 0 0) into 0
5.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.230 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.230 * [taylor]: Taking taylor expansion of im in re
5.230 * [backup-simplify]: Simplify im into im
5.230 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.230 * [taylor]: Taking taylor expansion of re in re
5.230 * [backup-simplify]: Simplify 0 into 0
5.230 * [backup-simplify]: Simplify 1 into 1
5.230 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.230 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.230 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.230 * [backup-simplify]: Simplify (+ 0 0) into 0
5.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.231 * [taylor]: Taking taylor expansion of im in im
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify 1 into 1
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [taylor]: Taking taylor expansion of 0 in im
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify 1 into 1
5.231 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.231 * [backup-simplify]: Simplify (* 1 1) into 1
5.232 * [backup-simplify]: Simplify (+ 0 1) into 1
5.232 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.232 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.232 * [taylor]: Taking taylor expansion of 1/2 in im
5.232 * [backup-simplify]: Simplify 1/2 into 1/2
5.232 * [taylor]: Taking taylor expansion of im in im
5.232 * [backup-simplify]: Simplify 0 into 0
5.232 * [backup-simplify]: Simplify 1 into 1
5.233 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.234 * [taylor]: Taking taylor expansion of 0 in im
5.234 * [backup-simplify]: Simplify 0 into 0
5.234 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.235 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.235 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.236 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.236 * [taylor]: Taking taylor expansion of re in im
5.236 * [backup-simplify]: Simplify re into re
5.236 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.236 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.236 * [taylor]: Taking taylor expansion of im in im
5.236 * [backup-simplify]: Simplify 0 into 0
5.236 * [backup-simplify]: Simplify 1 into 1
5.236 * [backup-simplify]: Simplify (* 1 1) into 1
5.236 * [backup-simplify]: Simplify (/ 1 1) into 1
5.237 * [backup-simplify]: Simplify (+ 0 1) into 1
5.237 * [backup-simplify]: Simplify (sqrt 1) into 1
5.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.238 * [backup-simplify]: Simplify (+ 0 0) into 0
5.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.238 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.238 * [taylor]: Taking taylor expansion of re in re
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 1 into 1
5.239 * [backup-simplify]: Simplify (* 1 1) into 1
5.239 * [backup-simplify]: Simplify (/ 1 1) into 1
5.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.239 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.239 * [taylor]: Taking taylor expansion of im in re
5.239 * [backup-simplify]: Simplify im into im
5.239 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.239 * [backup-simplify]: Simplify (+ 1 0) into 1
5.240 * [backup-simplify]: Simplify (sqrt 1) into 1
5.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.241 * [backup-simplify]: Simplify (+ 0 0) into 0
5.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.241 * [taylor]: Taking taylor expansion of re in re
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (* 1 1) into 1
5.242 * [backup-simplify]: Simplify (/ 1 1) into 1
5.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.242 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.242 * [taylor]: Taking taylor expansion of im in re
5.242 * [backup-simplify]: Simplify im into im
5.242 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.242 * [backup-simplify]: Simplify (+ 1 0) into 1
5.242 * [backup-simplify]: Simplify (sqrt 1) into 1
5.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.244 * [backup-simplify]: Simplify (+ 0 0) into 0
5.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.244 * [taylor]: Taking taylor expansion of 1 in im
5.244 * [backup-simplify]: Simplify 1 into 1
5.244 * [taylor]: Taking taylor expansion of 0 in im
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.246 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.246 * [taylor]: Taking taylor expansion of 1/2 in im
5.246 * [backup-simplify]: Simplify 1/2 into 1/2
5.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.246 * [taylor]: Taking taylor expansion of im in im
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 1 into 1
5.246 * [backup-simplify]: Simplify (* 1 1) into 1
5.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.251 * [backup-simplify]: Simplify (+ 0 0) into 0
5.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.252 * [taylor]: Taking taylor expansion of 0 in im
5.252 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.255 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.255 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.255 * [taylor]: Taking taylor expansion of re in im
5.255 * [backup-simplify]: Simplify re into re
5.255 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.255 * [taylor]: Taking taylor expansion of im in im
5.255 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify 1 into 1
5.255 * [backup-simplify]: Simplify (* 1 1) into 1
5.255 * [backup-simplify]: Simplify (/ 1 1) into 1
5.256 * [backup-simplify]: Simplify (+ 0 1) into 1
5.256 * [backup-simplify]: Simplify (sqrt 1) into 1
5.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (+ 0 0) into 0
5.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.258 * [taylor]: Taking taylor expansion of re in re
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [backup-simplify]: Simplify (* 1 1) into 1
5.258 * [backup-simplify]: Simplify (/ 1 1) into 1
5.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.258 * [taylor]: Taking taylor expansion of im in re
5.258 * [backup-simplify]: Simplify im into im
5.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.259 * [backup-simplify]: Simplify (+ 1 0) into 1
5.259 * [backup-simplify]: Simplify (sqrt 1) into 1
5.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.260 * [backup-simplify]: Simplify (+ 0 0) into 0
5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.260 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.260 * [taylor]: Taking taylor expansion of re in re
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.261 * [backup-simplify]: Simplify (* 1 1) into 1
5.261 * [backup-simplify]: Simplify (/ 1 1) into 1
5.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.261 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.261 * [taylor]: Taking taylor expansion of im in re
5.261 * [backup-simplify]: Simplify im into im
5.261 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.261 * [backup-simplify]: Simplify (+ 1 0) into 1
5.262 * [backup-simplify]: Simplify (sqrt 1) into 1
5.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.263 * [backup-simplify]: Simplify (+ 0 0) into 0
5.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.263 * [taylor]: Taking taylor expansion of 1 in im
5.263 * [backup-simplify]: Simplify 1 into 1
5.263 * [taylor]: Taking taylor expansion of 0 in im
5.263 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify 1 into 1
5.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.265 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.265 * [taylor]: Taking taylor expansion of 1/2 in im
5.265 * [backup-simplify]: Simplify 1/2 into 1/2
5.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.265 * [taylor]: Taking taylor expansion of im in im
5.265 * [backup-simplify]: Simplify 0 into 0
5.265 * [backup-simplify]: Simplify 1 into 1
5.265 * [backup-simplify]: Simplify (* 1 1) into 1
5.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.268 * [backup-simplify]: Simplify (+ 0 0) into 0
5.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.269 * [taylor]: Taking taylor expansion of 0 in im
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
5.270 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.270 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.270 * [taylor]: Taking taylor expansion of im in im
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.270 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.270 * [taylor]: Taking taylor expansion of re in im
5.270 * [backup-simplify]: Simplify re into re
5.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.271 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.271 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.271 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.271 * [backup-simplify]: Simplify (+ 0 0) into 0
5.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.271 * [taylor]: Taking taylor expansion of im in re
5.271 * [backup-simplify]: Simplify im into im
5.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.271 * [taylor]: Taking taylor expansion of re in re
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.271 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.271 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.272 * [backup-simplify]: Simplify (+ 0 0) into 0
5.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.272 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.272 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.272 * [taylor]: Taking taylor expansion of im in re
5.272 * [backup-simplify]: Simplify im into im
5.272 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.272 * [taylor]: Taking taylor expansion of re in re
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.273 * [backup-simplify]: Simplify (+ 0 0) into 0
5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.273 * [taylor]: Taking taylor expansion of im in im
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [taylor]: Taking taylor expansion of 0 in im
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.273 * [backup-simplify]: Simplify (* 1 1) into 1
5.274 * [backup-simplify]: Simplify (+ 0 1) into 1
5.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.274 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.274 * [taylor]: Taking taylor expansion of 1/2 in im
5.274 * [backup-simplify]: Simplify 1/2 into 1/2
5.274 * [taylor]: Taking taylor expansion of im in im
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.276 * [backup-simplify]: Simplify (+ 0 0) into 0
5.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.276 * [taylor]: Taking taylor expansion of 0 in im
5.276 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.277 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.277 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.277 * [taylor]: Taking taylor expansion of re in im
5.277 * [backup-simplify]: Simplify re into re
5.277 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.277 * [taylor]: Taking taylor expansion of im in im
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 1 into 1
5.278 * [backup-simplify]: Simplify (* 1 1) into 1
5.278 * [backup-simplify]: Simplify (/ 1 1) into 1
5.278 * [backup-simplify]: Simplify (+ 0 1) into 1
5.278 * [backup-simplify]: Simplify (sqrt 1) into 1
5.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.280 * [backup-simplify]: Simplify (+ 0 0) into 0
5.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.280 * [taylor]: Taking taylor expansion of re in re
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 1 into 1
5.281 * [backup-simplify]: Simplify (* 1 1) into 1
5.281 * [backup-simplify]: Simplify (/ 1 1) into 1
5.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.281 * [taylor]: Taking taylor expansion of im in re
5.281 * [backup-simplify]: Simplify im into im
5.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.281 * [backup-simplify]: Simplify (+ 1 0) into 1
5.281 * [backup-simplify]: Simplify (sqrt 1) into 1
5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.283 * [backup-simplify]: Simplify (+ 0 0) into 0
5.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.283 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.284 * [taylor]: Taking taylor expansion of re in re
5.284 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify 1 into 1
5.284 * [backup-simplify]: Simplify (* 1 1) into 1
5.284 * [backup-simplify]: Simplify (/ 1 1) into 1
5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.284 * [taylor]: Taking taylor expansion of im in re
5.284 * [backup-simplify]: Simplify im into im
5.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.285 * [backup-simplify]: Simplify (+ 1 0) into 1
5.286 * [backup-simplify]: Simplify (sqrt 1) into 1
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.287 * [backup-simplify]: Simplify (+ 0 0) into 0
5.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.288 * [taylor]: Taking taylor expansion of 1 in im
5.288 * [backup-simplify]: Simplify 1 into 1
5.288 * [taylor]: Taking taylor expansion of 0 in im
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 1 into 1
5.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.292 * [taylor]: Taking taylor expansion of 1/2 in im
5.292 * [backup-simplify]: Simplify 1/2 into 1/2
5.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.292 * [taylor]: Taking taylor expansion of im in im
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.292 * [backup-simplify]: Simplify (* 1 1) into 1
5.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.295 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.298 * [backup-simplify]: Simplify (+ 0 0) into 0
5.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.298 * [taylor]: Taking taylor expansion of 0 in im
5.298 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 0 into 0
5.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.301 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.301 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.301 * [taylor]: Taking taylor expansion of re in im
5.301 * [backup-simplify]: Simplify re into re
5.301 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.302 * [taylor]: Taking taylor expansion of im in im
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify 1 into 1
5.302 * [backup-simplify]: Simplify (* 1 1) into 1
5.302 * [backup-simplify]: Simplify (/ 1 1) into 1
5.303 * [backup-simplify]: Simplify (+ 0 1) into 1
5.303 * [backup-simplify]: Simplify (sqrt 1) into 1
5.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.305 * [backup-simplify]: Simplify (+ 0 0) into 0
5.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.306 * [taylor]: Taking taylor expansion of re in re
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 1 into 1
5.306 * [backup-simplify]: Simplify (* 1 1) into 1
5.307 * [backup-simplify]: Simplify (/ 1 1) into 1
5.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.307 * [taylor]: Taking taylor expansion of im in re
5.307 * [backup-simplify]: Simplify im into im
5.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.308 * [backup-simplify]: Simplify (+ 1 0) into 1
5.308 * [backup-simplify]: Simplify (sqrt 1) into 1
5.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.310 * [backup-simplify]: Simplify (+ 0 0) into 0
5.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.311 * [taylor]: Taking taylor expansion of re in re
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 1 into 1
5.311 * [backup-simplify]: Simplify (* 1 1) into 1
5.311 * [backup-simplify]: Simplify (/ 1 1) into 1
5.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.312 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.312 * [taylor]: Taking taylor expansion of im in re
5.312 * [backup-simplify]: Simplify im into im
5.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.312 * [backup-simplify]: Simplify (+ 1 0) into 1
5.313 * [backup-simplify]: Simplify (sqrt 1) into 1
5.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.315 * [backup-simplify]: Simplify (+ 0 0) into 0
5.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.315 * [taylor]: Taking taylor expansion of 1 in im
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [taylor]: Taking taylor expansion of 0 in im
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.319 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.319 * [taylor]: Taking taylor expansion of 1/2 in im
5.319 * [backup-simplify]: Simplify 1/2 into 1/2
5.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.319 * [taylor]: Taking taylor expansion of im in im
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 1 into 1
5.320 * [backup-simplify]: Simplify (* 1 1) into 1
5.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.325 * [backup-simplify]: Simplify (+ 0 0) into 0
5.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.325 * [taylor]: Taking taylor expansion of 0 in im
5.325 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
5.328 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.328 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.328 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.328 * [taylor]: Taking taylor expansion of im in im
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.328 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.328 * [taylor]: Taking taylor expansion of re in im
5.328 * [backup-simplify]: Simplify re into re
5.328 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.328 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.329 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.329 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.329 * [backup-simplify]: Simplify (+ 0 0) into 0
5.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.330 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.330 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.330 * [taylor]: Taking taylor expansion of im in re
5.330 * [backup-simplify]: Simplify im into im
5.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.330 * [taylor]: Taking taylor expansion of re in re
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 1 into 1
5.330 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.331 * [backup-simplify]: Simplify (+ 0 0) into 0
5.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.331 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.331 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.331 * [taylor]: Taking taylor expansion of im in re
5.331 * [backup-simplify]: Simplify im into im
5.331 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.331 * [taylor]: Taking taylor expansion of re in re
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 1 into 1
5.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.331 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.331 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.334 * [backup-simplify]: Simplify (+ 0 0) into 0
5.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.334 * [taylor]: Taking taylor expansion of im in im
5.334 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 1 into 1
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [taylor]: Taking taylor expansion of 0 in im
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 1 into 1
5.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.336 * [backup-simplify]: Simplify (* 1 1) into 1
5.336 * [backup-simplify]: Simplify (+ 0 1) into 1
5.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.337 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.337 * [taylor]: Taking taylor expansion of 1/2 in im
5.337 * [backup-simplify]: Simplify 1/2 into 1/2
5.337 * [taylor]: Taking taylor expansion of im in im
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify 1 into 1
5.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.339 * [backup-simplify]: Simplify 0 into 0
5.339 * [backup-simplify]: Simplify 0 into 0
5.339 * [backup-simplify]: Simplify 0 into 0
5.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.340 * [backup-simplify]: Simplify (+ 0 0) into 0
5.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.340 * [taylor]: Taking taylor expansion of 0 in im
5.340 * [backup-simplify]: Simplify 0 into 0
5.340 * [backup-simplify]: Simplify 0 into 0
5.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.341 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.341 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.341 * [taylor]: Taking taylor expansion of re in im
5.341 * [backup-simplify]: Simplify re into re
5.341 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.341 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.341 * [taylor]: Taking taylor expansion of im in im
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify 1 into 1
5.341 * [backup-simplify]: Simplify (* 1 1) into 1
5.342 * [backup-simplify]: Simplify (/ 1 1) into 1
5.342 * [backup-simplify]: Simplify (+ 0 1) into 1
5.342 * [backup-simplify]: Simplify (sqrt 1) into 1
5.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.343 * [backup-simplify]: Simplify (+ 0 0) into 0
5.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.344 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.344 * [taylor]: Taking taylor expansion of re in re
5.344 * [backup-simplify]: Simplify 0 into 0
5.344 * [backup-simplify]: Simplify 1 into 1
5.344 * [backup-simplify]: Simplify (* 1 1) into 1
5.344 * [backup-simplify]: Simplify (/ 1 1) into 1
5.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.344 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.344 * [taylor]: Taking taylor expansion of im in re
5.344 * [backup-simplify]: Simplify im into im
5.344 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.344 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.345 * [backup-simplify]: Simplify (+ 1 0) into 1
5.345 * [backup-simplify]: Simplify (sqrt 1) into 1
5.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.346 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.346 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.346 * [taylor]: Taking taylor expansion of re in re
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 1 into 1
5.347 * [backup-simplify]: Simplify (* 1 1) into 1
5.347 * [backup-simplify]: Simplify (/ 1 1) into 1
5.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.347 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.347 * [taylor]: Taking taylor expansion of im in re
5.347 * [backup-simplify]: Simplify im into im
5.347 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.347 * [backup-simplify]: Simplify (+ 1 0) into 1
5.348 * [backup-simplify]: Simplify (sqrt 1) into 1
5.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.349 * [backup-simplify]: Simplify (+ 0 0) into 0
5.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.349 * [taylor]: Taking taylor expansion of 1 in im
5.349 * [backup-simplify]: Simplify 1 into 1
5.349 * [taylor]: Taking taylor expansion of 0 in im
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.350 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.351 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.351 * [taylor]: Taking taylor expansion of 1/2 in im
5.351 * [backup-simplify]: Simplify 1/2 into 1/2
5.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.351 * [taylor]: Taking taylor expansion of im in im
5.351 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify 1 into 1
5.352 * [backup-simplify]: Simplify (* 1 1) into 1
5.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.355 * [backup-simplify]: Simplify (+ 0 0) into 0
5.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.355 * [taylor]: Taking taylor expansion of 0 in im
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.356 * [backup-simplify]: Simplify 0 into 0
5.356 * [backup-simplify]: Simplify 0 into 0
5.356 * [backup-simplify]: Simplify 0 into 0
5.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.356 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.357 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.357 * [taylor]: Taking taylor expansion of re in im
5.357 * [backup-simplify]: Simplify re into re
5.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.357 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.357 * [taylor]: Taking taylor expansion of im in im
5.357 * [backup-simplify]: Simplify 0 into 0
5.357 * [backup-simplify]: Simplify 1 into 1
5.357 * [backup-simplify]: Simplify (* 1 1) into 1
5.357 * [backup-simplify]: Simplify (/ 1 1) into 1
5.358 * [backup-simplify]: Simplify (+ 0 1) into 1
5.358 * [backup-simplify]: Simplify (sqrt 1) into 1
5.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.359 * [backup-simplify]: Simplify (+ 0 0) into 0
5.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.359 * [taylor]: Taking taylor expansion of re in re
5.359 * [backup-simplify]: Simplify 0 into 0
5.359 * [backup-simplify]: Simplify 1 into 1
5.360 * [backup-simplify]: Simplify (* 1 1) into 1
5.360 * [backup-simplify]: Simplify (/ 1 1) into 1
5.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.360 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.360 * [taylor]: Taking taylor expansion of im in re
5.360 * [backup-simplify]: Simplify im into im
5.360 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.360 * [backup-simplify]: Simplify (+ 1 0) into 1
5.361 * [backup-simplify]: Simplify (sqrt 1) into 1
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.362 * [backup-simplify]: Simplify (+ 0 0) into 0
5.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.362 * [taylor]: Taking taylor expansion of re in re
5.362 * [backup-simplify]: Simplify 0 into 0
5.362 * [backup-simplify]: Simplify 1 into 1
5.362 * [backup-simplify]: Simplify (* 1 1) into 1
5.363 * [backup-simplify]: Simplify (/ 1 1) into 1
5.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.363 * [taylor]: Taking taylor expansion of im in re
5.363 * [backup-simplify]: Simplify im into im
5.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.363 * [backup-simplify]: Simplify (+ 1 0) into 1
5.363 * [backup-simplify]: Simplify (sqrt 1) into 1
5.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.364 * [backup-simplify]: Simplify (+ 0 0) into 0
5.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.365 * [taylor]: Taking taylor expansion of 1 in im
5.365 * [backup-simplify]: Simplify 1 into 1
5.365 * [taylor]: Taking taylor expansion of 0 in im
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify 1 into 1
5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.367 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.367 * [taylor]: Taking taylor expansion of 1/2 in im
5.367 * [backup-simplify]: Simplify 1/2 into 1/2
5.367 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.367 * [taylor]: Taking taylor expansion of im in im
5.367 * [backup-simplify]: Simplify 0 into 0
5.367 * [backup-simplify]: Simplify 1 into 1
5.368 * [backup-simplify]: Simplify (* 1 1) into 1
5.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.373 * [backup-simplify]: Simplify (+ 0 0) into 0
5.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.373 * [taylor]: Taking taylor expansion of 0 in im
5.373 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
5.376 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.376 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.376 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.376 * [taylor]: Taking taylor expansion of im in im
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 1 into 1
5.376 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.376 * [taylor]: Taking taylor expansion of re in im
5.376 * [backup-simplify]: Simplify re into re
5.376 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.376 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.376 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.376 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.377 * [backup-simplify]: Simplify (+ 0 0) into 0
5.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.377 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.377 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.377 * [taylor]: Taking taylor expansion of im in re
5.377 * [backup-simplify]: Simplify im into im
5.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.377 * [taylor]: Taking taylor expansion of re in re
5.377 * [backup-simplify]: Simplify 0 into 0
5.377 * [backup-simplify]: Simplify 1 into 1
5.377 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.377 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.378 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.378 * [backup-simplify]: Simplify (+ 0 0) into 0
5.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.378 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.378 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.378 * [taylor]: Taking taylor expansion of im in re
5.378 * [backup-simplify]: Simplify im into im
5.378 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.378 * [taylor]: Taking taylor expansion of re in re
5.378 * [backup-simplify]: Simplify 0 into 0
5.378 * [backup-simplify]: Simplify 1 into 1
5.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.379 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.379 * [backup-simplify]: Simplify (+ 0 0) into 0
5.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.380 * [taylor]: Taking taylor expansion of im in im
5.380 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 1 into 1
5.380 * [backup-simplify]: Simplify 0 into 0
5.380 * [taylor]: Taking taylor expansion of 0 in im
5.380 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 1 into 1
5.381 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.381 * [backup-simplify]: Simplify (* 1 1) into 1
5.381 * [backup-simplify]: Simplify (+ 0 1) into 1
5.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.382 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.382 * [taylor]: Taking taylor expansion of 1/2 in im
5.382 * [backup-simplify]: Simplify 1/2 into 1/2
5.382 * [taylor]: Taking taylor expansion of im in im
5.382 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify 1 into 1
5.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.385 * [backup-simplify]: Simplify (+ 0 0) into 0
5.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.386 * [taylor]: Taking taylor expansion of 0 in im
5.386 * [backup-simplify]: Simplify 0 into 0
5.386 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.387 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.387 * [taylor]: Taking taylor expansion of re in im
5.387 * [backup-simplify]: Simplify re into re
5.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.388 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.388 * [taylor]: Taking taylor expansion of im in im
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [backup-simplify]: Simplify 1 into 1
5.388 * [backup-simplify]: Simplify (* 1 1) into 1
5.388 * [backup-simplify]: Simplify (/ 1 1) into 1
5.389 * [backup-simplify]: Simplify (+ 0 1) into 1
5.389 * [backup-simplify]: Simplify (sqrt 1) into 1
5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.391 * [backup-simplify]: Simplify (+ 0 0) into 0
5.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.392 * [taylor]: Taking taylor expansion of re in re
5.392 * [backup-simplify]: Simplify 0 into 0
5.392 * [backup-simplify]: Simplify 1 into 1
5.392 * [backup-simplify]: Simplify (* 1 1) into 1
5.393 * [backup-simplify]: Simplify (/ 1 1) into 1
5.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.393 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.393 * [taylor]: Taking taylor expansion of im in re
5.393 * [backup-simplify]: Simplify im into im
5.393 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.393 * [backup-simplify]: Simplify (+ 1 0) into 1
5.394 * [backup-simplify]: Simplify (sqrt 1) into 1
5.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.395 * [backup-simplify]: Simplify (+ 0 0) into 0
5.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.396 * [taylor]: Taking taylor expansion of re in re
5.396 * [backup-simplify]: Simplify 0 into 0
5.396 * [backup-simplify]: Simplify 1 into 1
5.397 * [backup-simplify]: Simplify (* 1 1) into 1
5.397 * [backup-simplify]: Simplify (/ 1 1) into 1
5.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.397 * [taylor]: Taking taylor expansion of im in re
5.397 * [backup-simplify]: Simplify im into im
5.397 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.398 * [backup-simplify]: Simplify (+ 1 0) into 1
5.398 * [backup-simplify]: Simplify (sqrt 1) into 1
5.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.400 * [backup-simplify]: Simplify (+ 0 0) into 0
5.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.401 * [taylor]: Taking taylor expansion of 1 in im
5.401 * [backup-simplify]: Simplify 1 into 1
5.401 * [taylor]: Taking taylor expansion of 0 in im
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.403 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.404 * [taylor]: Taking taylor expansion of 1/2 in im
5.404 * [backup-simplify]: Simplify 1/2 into 1/2
5.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.404 * [taylor]: Taking taylor expansion of im in im
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify 1 into 1
5.404 * [backup-simplify]: Simplify (* 1 1) into 1
5.404 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.407 * [backup-simplify]: Simplify (+ 0 0) into 0
5.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.407 * [taylor]: Taking taylor expansion of 0 in im
5.407 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.409 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.409 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.409 * [taylor]: Taking taylor expansion of re in im
5.409 * [backup-simplify]: Simplify re into re
5.409 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.409 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.409 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.409 * [taylor]: Taking taylor expansion of im in im
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 1 into 1
5.409 * [backup-simplify]: Simplify (* 1 1) into 1
5.409 * [backup-simplify]: Simplify (/ 1 1) into 1
5.410 * [backup-simplify]: Simplify (+ 0 1) into 1
5.410 * [backup-simplify]: Simplify (sqrt 1) into 1
5.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.411 * [backup-simplify]: Simplify (+ 0 0) into 0
5.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.412 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.412 * [taylor]: Taking taylor expansion of re in re
5.412 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify 1 into 1
5.412 * [backup-simplify]: Simplify (* 1 1) into 1
5.412 * [backup-simplify]: Simplify (/ 1 1) into 1
5.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.412 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.412 * [taylor]: Taking taylor expansion of im in re
5.412 * [backup-simplify]: Simplify im into im
5.412 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.413 * [backup-simplify]: Simplify (+ 1 0) into 1
5.413 * [backup-simplify]: Simplify (sqrt 1) into 1
5.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.414 * [backup-simplify]: Simplify (+ 0 0) into 0
5.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.414 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.414 * [taylor]: Taking taylor expansion of re in re
5.414 * [backup-simplify]: Simplify 0 into 0
5.414 * [backup-simplify]: Simplify 1 into 1
5.415 * [backup-simplify]: Simplify (* 1 1) into 1
5.415 * [backup-simplify]: Simplify (/ 1 1) into 1
5.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.415 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.415 * [taylor]: Taking taylor expansion of im in re
5.415 * [backup-simplify]: Simplify im into im
5.415 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.415 * [backup-simplify]: Simplify (+ 1 0) into 1
5.416 * [backup-simplify]: Simplify (sqrt 1) into 1
5.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.417 * [backup-simplify]: Simplify (+ 0 0) into 0
5.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.417 * [taylor]: Taking taylor expansion of 1 in im
5.417 * [backup-simplify]: Simplify 1 into 1
5.417 * [taylor]: Taking taylor expansion of 0 in im
5.417 * [backup-simplify]: Simplify 0 into 0
5.417 * [backup-simplify]: Simplify 1 into 1
5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.418 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.419 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.419 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.419 * [taylor]: Taking taylor expansion of 1/2 in im
5.419 * [backup-simplify]: Simplify 1/2 into 1/2
5.419 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.419 * [taylor]: Taking taylor expansion of im in im
5.419 * [backup-simplify]: Simplify 0 into 0
5.419 * [backup-simplify]: Simplify 1 into 1
5.420 * [backup-simplify]: Simplify (* 1 1) into 1
5.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.423 * [taylor]: Taking taylor expansion of 0 in im
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.424 * * * [progress]: simplifying candidates
5.425 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
5.426 * * [simplify]: iteration 0: 38 enodes
5.433 * * [simplify]: iteration 1: 91 enodes
5.459 * * [simplify]: iteration 2: 220 enodes
5.533 * * [simplify]: iteration 3: 528 enodes
5.845 * * [simplify]: iteration 4: 1462 enodes
6.290 * * [simplify]: iteration complete: 5000 enodes
6.290 * * [simplify]: Extracting #0: cost 18 inf + 0
6.290 * * [simplify]: Extracting #1: cost 42 inf + 4
6.291 * * [simplify]: Extracting #2: cost 353 inf + 47
6.298 * * [simplify]: Extracting #3: cost 1457 inf + 1083
6.313 * * [simplify]: Extracting #4: cost 1357 inf + 90562
6.363 * * [simplify]: Extracting #5: cost 462 inf + 277192
6.461 * * [simplify]: Extracting #6: cost 139 inf + 359646
6.534 * * [simplify]: Extracting #7: cost 16 inf + 391513
6.623 * * [simplify]: Extracting #8: cost 0 inf + 396382
6.741 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
6.761 * * * [progress]: adding candidates to table
7.427 * * [progress]: iteration 4 / 4
7.427 * * * [progress]: picking best candidate
7.453 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
7.453 * * * [progress]: localizing error
7.482 * * * [progress]: generating rewritten candidates
7.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
7.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
7.506 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.548 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
7.600 * * * [progress]: generating series expansions
7.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
7.601 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.601 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.601 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.601 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.601 * [taylor]: Taking taylor expansion of im in im
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 1 into 1
7.601 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.601 * [taylor]: Taking taylor expansion of re in im
7.601 * [backup-simplify]: Simplify re into re
7.601 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.601 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.601 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.601 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.602 * [backup-simplify]: Simplify (+ 0 0) into 0
7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.602 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.602 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.602 * [taylor]: Taking taylor expansion of im in re
7.602 * [backup-simplify]: Simplify im into im
7.602 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.602 * [taylor]: Taking taylor expansion of re in re
7.602 * [backup-simplify]: Simplify 0 into 0
7.602 * [backup-simplify]: Simplify 1 into 1
7.602 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.602 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.602 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.603 * [backup-simplify]: Simplify (+ 0 0) into 0
7.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.603 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.603 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.603 * [taylor]: Taking taylor expansion of im in re
7.603 * [backup-simplify]: Simplify im into im
7.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.603 * [taylor]: Taking taylor expansion of re in re
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 1 into 1
7.603 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.603 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.603 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.603 * [backup-simplify]: Simplify (+ 0 0) into 0
7.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.604 * [taylor]: Taking taylor expansion of im in im
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [taylor]: Taking taylor expansion of 0 in im
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.604 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.604 * [backup-simplify]: Simplify (* 1 1) into 1
7.605 * [backup-simplify]: Simplify (+ 0 1) into 1
7.605 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.605 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.605 * [taylor]: Taking taylor expansion of 1/2 in im
7.605 * [backup-simplify]: Simplify 1/2 into 1/2
7.605 * [taylor]: Taking taylor expansion of im in im
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify 0 into 0
7.606 * [backup-simplify]: Simplify 0 into 0
7.606 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.607 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.607 * [taylor]: Taking taylor expansion of 0 in im
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.608 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.608 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.608 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.608 * [taylor]: Taking taylor expansion of re in im
7.608 * [backup-simplify]: Simplify re into re
7.608 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.609 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.609 * [taylor]: Taking taylor expansion of im in im
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (* 1 1) into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [backup-simplify]: Simplify (+ 0 1) into 1
7.610 * [backup-simplify]: Simplify (sqrt 1) into 1
7.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.611 * [backup-simplify]: Simplify (+ 0 0) into 0
7.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.611 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.611 * [taylor]: Taking taylor expansion of re in re
7.611 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify 1 into 1
7.612 * [backup-simplify]: Simplify (* 1 1) into 1
7.612 * [backup-simplify]: Simplify (/ 1 1) into 1
7.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.612 * [taylor]: Taking taylor expansion of im in re
7.612 * [backup-simplify]: Simplify im into im
7.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.612 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.612 * [backup-simplify]: Simplify (+ 1 0) into 1
7.613 * [backup-simplify]: Simplify (sqrt 1) into 1
7.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.614 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.614 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.614 * [taylor]: Taking taylor expansion of re in re
7.614 * [backup-simplify]: Simplify 0 into 0
7.614 * [backup-simplify]: Simplify 1 into 1
7.614 * [backup-simplify]: Simplify (* 1 1) into 1
7.615 * [backup-simplify]: Simplify (/ 1 1) into 1
7.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.615 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.615 * [taylor]: Taking taylor expansion of im in re
7.615 * [backup-simplify]: Simplify im into im
7.615 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.616 * [backup-simplify]: Simplify (+ 1 0) into 1
7.616 * [backup-simplify]: Simplify (sqrt 1) into 1
7.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.618 * [backup-simplify]: Simplify (+ 0 0) into 0
7.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.619 * [taylor]: Taking taylor expansion of 1 in im
7.619 * [backup-simplify]: Simplify 1 into 1
7.619 * [taylor]: Taking taylor expansion of 0 in im
7.619 * [backup-simplify]: Simplify 0 into 0
7.619 * [backup-simplify]: Simplify 1 into 1
7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.621 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.622 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.622 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.622 * [taylor]: Taking taylor expansion of 1/2 in im
7.622 * [backup-simplify]: Simplify 1/2 into 1/2
7.622 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.622 * [taylor]: Taking taylor expansion of im in im
7.622 * [backup-simplify]: Simplify 0 into 0
7.623 * [backup-simplify]: Simplify 1 into 1
7.623 * [backup-simplify]: Simplify (* 1 1) into 1
7.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.625 * [backup-simplify]: Simplify 0 into 0
7.625 * [backup-simplify]: Simplify 0 into 0
7.625 * [backup-simplify]: Simplify 0 into 0
7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.627 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.628 * [backup-simplify]: Simplify (+ 0 0) into 0
7.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.629 * [taylor]: Taking taylor expansion of 0 in im
7.629 * [backup-simplify]: Simplify 0 into 0
7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.631 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.631 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.632 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.632 * [taylor]: Taking taylor expansion of re in im
7.632 * [backup-simplify]: Simplify re into re
7.632 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.632 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.632 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.632 * [taylor]: Taking taylor expansion of im in im
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (* 1 1) into 1
7.633 * [backup-simplify]: Simplify (/ 1 1) into 1
7.633 * [backup-simplify]: Simplify (+ 0 1) into 1
7.634 * [backup-simplify]: Simplify (sqrt 1) into 1
7.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.636 * [backup-simplify]: Simplify (+ 0 0) into 0
7.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.637 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.637 * [taylor]: Taking taylor expansion of re in re
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify 1 into 1
7.637 * [backup-simplify]: Simplify (* 1 1) into 1
7.638 * [backup-simplify]: Simplify (/ 1 1) into 1
7.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.638 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.638 * [taylor]: Taking taylor expansion of im in re
7.638 * [backup-simplify]: Simplify im into im
7.638 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.638 * [backup-simplify]: Simplify (+ 1 0) into 1
7.639 * [backup-simplify]: Simplify (sqrt 1) into 1
7.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.641 * [backup-simplify]: Simplify (+ 0 0) into 0
7.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.642 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.642 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.642 * [taylor]: Taking taylor expansion of re in re
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 1 into 1
7.642 * [backup-simplify]: Simplify (* 1 1) into 1
7.643 * [backup-simplify]: Simplify (/ 1 1) into 1
7.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.643 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.643 * [taylor]: Taking taylor expansion of im in re
7.643 * [backup-simplify]: Simplify im into im
7.643 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.643 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.643 * [backup-simplify]: Simplify (+ 1 0) into 1
7.643 * [backup-simplify]: Simplify (sqrt 1) into 1
7.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.645 * [backup-simplify]: Simplify (+ 0 0) into 0
7.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.645 * [taylor]: Taking taylor expansion of 1 in im
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [taylor]: Taking taylor expansion of 0 in im
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.646 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.647 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.647 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.647 * [taylor]: Taking taylor expansion of 1/2 in im
7.647 * [backup-simplify]: Simplify 1/2 into 1/2
7.647 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.647 * [taylor]: Taking taylor expansion of im in im
7.647 * [backup-simplify]: Simplify 0 into 0
7.647 * [backup-simplify]: Simplify 1 into 1
7.648 * [backup-simplify]: Simplify (* 1 1) into 1
7.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.651 * [taylor]: Taking taylor expansion of 0 in im
7.651 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
7.652 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* im im) 0))) into (* (sqrt 2.0) im)
7.652 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
7.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.653 * [taylor]: Taking taylor expansion of 2.0 in im
7.653 * [backup-simplify]: Simplify 2.0 into 2.0
7.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.653 * [taylor]: Taking taylor expansion of im in im
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.653 * [taylor]: Taking taylor expansion of 2.0 in im
7.653 * [backup-simplify]: Simplify 2.0 into 2.0
7.654 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.654 * [taylor]: Taking taylor expansion of im in im
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify 1 into 1
7.655 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.655 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.656 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.657 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.657 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.659 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.660 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.662 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.662 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.664 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.664 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.666 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
7.666 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) into (/ (sqrt 2.0) im)
7.666 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.666 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.666 * [taylor]: Taking taylor expansion of 2.0 in im
7.666 * [backup-simplify]: Simplify 2.0 into 2.0
7.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.667 * [taylor]: Taking taylor expansion of im in im
7.667 * [backup-simplify]: Simplify 0 into 0
7.667 * [backup-simplify]: Simplify 1 into 1
7.668 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.668 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.668 * [taylor]: Taking taylor expansion of 2.0 in im
7.668 * [backup-simplify]: Simplify 2.0 into 2.0
7.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.670 * [taylor]: Taking taylor expansion of im in im
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 1 into 1
7.671 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.675 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.678 * [backup-simplify]: Simplify 0 into 0
7.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.681 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.683 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.686 * [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
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
7.687 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) into (/ (sqrt 2.0) im)
7.687 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
7.687 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.688 * [taylor]: Taking taylor expansion of 2.0 in im
7.688 * [backup-simplify]: Simplify 2.0 into 2.0
7.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.689 * [taylor]: Taking taylor expansion of im in im
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.690 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.690 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.690 * [taylor]: Taking taylor expansion of 2.0 in im
7.690 * [backup-simplify]: Simplify 2.0 into 2.0
7.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.691 * [taylor]: Taking taylor expansion of im in im
7.691 * [backup-simplify]: Simplify 0 into 0
7.691 * [backup-simplify]: Simplify 1 into 1
7.692 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.696 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.699 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.702 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.704 * [backup-simplify]: Simplify 0 into 0
7.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.707 * [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
7.707 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
7.708 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.709 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
7.709 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
7.709 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
7.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
7.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.709 * [taylor]: Taking taylor expansion of 2.0 in re
7.709 * [backup-simplify]: Simplify 2.0 into 2.0
7.709 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.710 * [taylor]: Taking taylor expansion of im in re
7.710 * [backup-simplify]: Simplify im into im
7.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
7.710 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
7.710 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.710 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.710 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.711 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.711 * [taylor]: Taking taylor expansion of im in re
7.711 * [backup-simplify]: Simplify im into im
7.711 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.711 * [taylor]: Taking taylor expansion of re in re
7.711 * [backup-simplify]: Simplify 0 into 0
7.711 * [backup-simplify]: Simplify 1 into 1
7.711 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.711 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.711 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.712 * [backup-simplify]: Simplify (+ 0 0) into 0
7.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.712 * [taylor]: Taking taylor expansion of re in re
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.712 * [backup-simplify]: Simplify (- 0) into 0
7.713 * [backup-simplify]: Simplify (+ im 0) into im
7.713 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.713 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
7.713 * [backup-simplify]: Simplify (- 1) into -1
7.714 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
7.714 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
7.714 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
7.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.714 * [taylor]: Taking taylor expansion of 2.0 in im
7.714 * [backup-simplify]: Simplify 2.0 into 2.0
7.715 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.715 * [taylor]: Taking taylor expansion of im in im
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
7.715 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
7.715 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.715 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.715 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.715 * [taylor]: Taking taylor expansion of im in im
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.715 * [taylor]: Taking taylor expansion of re in im
7.715 * [backup-simplify]: Simplify re into re
7.715 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.716 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.716 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.716 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.716 * [backup-simplify]: Simplify (+ 0 0) into 0
7.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.716 * [taylor]: Taking taylor expansion of re in im
7.716 * [backup-simplify]: Simplify re into re
7.716 * [backup-simplify]: Simplify (- re) into (- re)
7.716 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.716 * [backup-simplify]: Simplify (- 0) into 0
7.717 * [backup-simplify]: Simplify (+ 0 0) into 0
7.717 * [backup-simplify]: Simplify (* 1 1) into 1
7.717 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.717 * [backup-simplify]: Simplify (+ 1 0) into 1
7.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.718 * [backup-simplify]: Simplify (- 0) into 0
7.718 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.718 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.718 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
7.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.719 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.720 * [backup-simplify]: Simplify (- 0) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.720 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
7.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
7.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.720 * [taylor]: Taking taylor expansion of 2.0 in im
7.720 * [backup-simplify]: Simplify 2.0 into 2.0
7.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.721 * [taylor]: Taking taylor expansion of im in im
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
7.721 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
7.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.721 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.721 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.721 * [taylor]: Taking taylor expansion of im in im
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.721 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.721 * [taylor]: Taking taylor expansion of re in im
7.721 * [backup-simplify]: Simplify re into re
7.721 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.722 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.722 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.722 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.722 * [backup-simplify]: Simplify (+ 0 0) into 0
7.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.722 * [taylor]: Taking taylor expansion of re in im
7.722 * [backup-simplify]: Simplify re into re
7.722 * [backup-simplify]: Simplify (- re) into (- re)
7.722 * [backup-simplify]: Simplify (+ re (- re)) into 0
7.722 * [backup-simplify]: Simplify (- 0) into 0
7.723 * [backup-simplify]: Simplify (+ 0 0) into 0
7.723 * [backup-simplify]: Simplify (* 1 1) into 1
7.723 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
7.724 * [backup-simplify]: Simplify (+ 1 0) into 1
7.724 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
7.724 * [backup-simplify]: Simplify (- 0) into 0
7.724 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
7.724 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
7.724 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
7.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.725 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
7.726 * [backup-simplify]: Simplify (+ 0 0) into 0
7.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
7.726 * [backup-simplify]: Simplify (- 0) into 0
7.726 * [backup-simplify]: Simplify (+ 0 0) into 0
7.726 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
7.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.727 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.728 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
7.728 * [taylor]: Taking taylor expansion of 0 in re
7.728 * [backup-simplify]: Simplify 0 into 0
7.728 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
7.730 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
7.730 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
7.730 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
7.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.730 * [taylor]: Taking taylor expansion of 2.0 in re
7.730 * [backup-simplify]: Simplify 2.0 into 2.0
7.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.731 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.731 * [taylor]: Taking taylor expansion of 2 in re
7.731 * [backup-simplify]: Simplify 2 into 2
7.731 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.732 * [taylor]: Taking taylor expansion of (sqrt re) in re
7.732 * [taylor]: Taking taylor expansion of re in re
7.732 * [backup-simplify]: Simplify 0 into 0
7.732 * [backup-simplify]: Simplify 1 into 1
7.732 * [backup-simplify]: Simplify (sqrt 0) into 0
7.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.734 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
7.735 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.736 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
7.736 * [backup-simplify]: Simplify (+ 0 0) into 0
7.737 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
7.737 * [backup-simplify]: Simplify (- 0) into 0
7.737 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
7.738 * [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))
7.738 * [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)))))
7.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.740 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
7.741 * [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
7.741 * [taylor]: Taking taylor expansion of 0 in re
7.741 * [backup-simplify]: Simplify 0 into 0
7.741 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
7.745 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.749 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.749 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.751 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
7.752 * [backup-simplify]: Simplify (+ 0 0) into 0
7.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
7.753 * [backup-simplify]: Simplify (- 0) into 0
7.753 * [backup-simplify]: Simplify (+ 0 0) into 0
7.754 * [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
7.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
7.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.758 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.760 * [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)))))
7.760 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
7.760 * [taylor]: Taking taylor expansion of 1/4 in re
7.760 * [backup-simplify]: Simplify 1/4 into 1/4
7.760 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
7.760 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
7.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.760 * [taylor]: Taking taylor expansion of 2.0 in re
7.760 * [backup-simplify]: Simplify 2.0 into 2.0
7.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.761 * [taylor]: Taking taylor expansion of (sqrt 2) in re
7.761 * [taylor]: Taking taylor expansion of 2 in re
7.761 * [backup-simplify]: Simplify 2 into 2
7.761 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.762 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
7.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
7.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
7.762 * [taylor]: Taking taylor expansion of (pow re 3) in re
7.762 * [taylor]: Taking taylor expansion of re in re
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.763 * [backup-simplify]: Simplify (* 1 1) into 1
7.763 * [backup-simplify]: Simplify (* 1 1) into 1
7.763 * [backup-simplify]: Simplify (/ 1 1) into 1
7.763 * [backup-simplify]: Simplify (sqrt 0) into 0
7.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.767 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.768 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
7.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.770 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
7.773 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.775 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.776 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
7.781 * [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))))
7.785 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
7.785 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.794 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
7.799 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.802 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
7.813 * [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)))))))))
7.814 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 im) (/ 1 im)) 0))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
7.814 * [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
7.814 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
7.814 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.814 * [taylor]: Taking taylor expansion of 2.0 in re
7.814 * [backup-simplify]: Simplify 2.0 into 2.0
7.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.815 * [taylor]: Taking taylor expansion of im in re
7.815 * [backup-simplify]: Simplify im into im
7.815 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
7.816 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
7.816 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.816 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.816 * [taylor]: Taking taylor expansion of re in re
7.816 * [backup-simplify]: Simplify 0 into 0
7.816 * [backup-simplify]: Simplify 1 into 1
7.816 * [backup-simplify]: Simplify (* 1 1) into 1
7.817 * [backup-simplify]: Simplify (/ 1 1) into 1
7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.817 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.817 * [taylor]: Taking taylor expansion of im in re
7.817 * [backup-simplify]: Simplify im into im
7.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.817 * [backup-simplify]: Simplify (+ 1 0) into 1
7.818 * [backup-simplify]: Simplify (sqrt 1) into 1
7.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (+ 0 0) into 0
7.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.820 * [taylor]: Taking taylor expansion of re in re
7.820 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.821 * [backup-simplify]: Simplify (/ 1 1) into 1
7.821 * [backup-simplify]: Simplify (- 1) into -1
7.822 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (- 0) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.828 * [backup-simplify]: Simplify (- 0) into 0
7.828 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.829 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
7.829 * [backup-simplify]: Simplify (sqrt 0) into 0
7.830 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
7.830 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
7.830 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.830 * [taylor]: Taking taylor expansion of 2.0 in im
7.830 * [backup-simplify]: Simplify 2.0 into 2.0
7.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.831 * [taylor]: Taking taylor expansion of im in im
7.831 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify 1 into 1
7.832 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.832 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.832 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.833 * [taylor]: Taking taylor expansion of re in im
7.833 * [backup-simplify]: Simplify re into re
7.833 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.833 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.833 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.833 * [taylor]: Taking taylor expansion of im in im
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (/ 1 1) into 1
7.834 * [backup-simplify]: Simplify (+ 0 1) into 1
7.835 * [backup-simplify]: Simplify (sqrt 1) into 1
7.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.838 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.838 * [taylor]: Taking taylor expansion of re in im
7.838 * [backup-simplify]: Simplify re into re
7.838 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.838 * [backup-simplify]: Simplify (+ 1 0) into 1
7.839 * [backup-simplify]: Simplify (/ 1 1) into 1
7.839 * [backup-simplify]: Simplify (sqrt 0) into 0
7.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.841 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
7.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.841 * [taylor]: Taking taylor expansion of 2.0 in im
7.841 * [backup-simplify]: Simplify 2.0 into 2.0
7.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.842 * [taylor]: Taking taylor expansion of im in im
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.843 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
7.843 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
7.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.843 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.843 * [taylor]: Taking taylor expansion of re in im
7.843 * [backup-simplify]: Simplify re into re
7.843 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.843 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.843 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.844 * [taylor]: Taking taylor expansion of im in im
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [backup-simplify]: Simplify (* 1 1) into 1
7.844 * [backup-simplify]: Simplify (/ 1 1) into 1
7.845 * [backup-simplify]: Simplify (+ 0 1) into 1
7.846 * [backup-simplify]: Simplify (sqrt 1) into 1
7.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.847 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.848 * [taylor]: Taking taylor expansion of re in im
7.848 * [backup-simplify]: Simplify re into re
7.848 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.849 * [backup-simplify]: Simplify (+ 1 0) into 1
7.849 * [backup-simplify]: Simplify (/ 1 1) into 1
7.850 * [backup-simplify]: Simplify (sqrt 0) into 0
7.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.852 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.852 * [taylor]: Taking taylor expansion of 0 in re
7.852 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.856 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.856 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.856 * [taylor]: Taking taylor expansion of +nan.0 in re
7.856 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.856 * [taylor]: Taking taylor expansion of 2.0 in re
7.856 * [backup-simplify]: Simplify 2.0 into 2.0
7.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
7.858 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
7.859 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
7.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.861 * [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)))))
7.861 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.861 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.862 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.862 * [taylor]: Taking taylor expansion of +nan.0 in re
7.862 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.862 * [taylor]: Taking taylor expansion of 2.0 in re
7.862 * [backup-simplify]: Simplify 2.0 into 2.0
7.862 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.862 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.862 * [taylor]: Taking taylor expansion of +nan.0 in re
7.862 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.862 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.862 * [taylor]: Taking taylor expansion of 2.0 in re
7.862 * [backup-simplify]: Simplify 2.0 into 2.0
7.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.863 * [taylor]: Taking taylor expansion of re in re
7.863 * [backup-simplify]: Simplify 0 into 0
7.863 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.864 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.865 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.867 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.868 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.869 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.869 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.870 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.871 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.871 * [backup-simplify]: Simplify 0 into 0
7.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.873 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
7.873 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.874 * [backup-simplify]: Simplify (- 0) into 0
7.874 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.875 * [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))))
7.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.877 * [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))))))))
7.877 * [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
7.877 * [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
7.877 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.877 * [taylor]: Taking taylor expansion of +nan.0 in re
7.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.877 * [taylor]: Taking taylor expansion of 2.0 in re
7.877 * [backup-simplify]: Simplify 2.0 into 2.0
7.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.878 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
7.878 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
7.878 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.878 * [taylor]: Taking taylor expansion of +nan.0 in re
7.878 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.878 * [taylor]: Taking taylor expansion of 2.0 in re
7.878 * [backup-simplify]: Simplify 2.0 into 2.0
7.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.879 * [taylor]: Taking taylor expansion of re in re
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
7.880 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.880 * [taylor]: Taking taylor expansion of +nan.0 in re
7.880 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.881 * [taylor]: Taking taylor expansion of 2.0 in re
7.881 * [backup-simplify]: Simplify 2.0 into 2.0
7.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.882 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.882 * [taylor]: Taking taylor expansion of re in re
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (* 1 1) into 1
7.883 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.884 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.887 * [backup-simplify]: Simplify (- 0) into 0
7.889 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.891 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.894 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.896 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.898 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.903 * [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)))))))
7.903 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (+ (* (/ 1 (- im)) (/ 1 (- im))) 0))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
7.903 * [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
7.903 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
7.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
7.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.903 * [taylor]: Taking taylor expansion of 2.0 in re
7.903 * [backup-simplify]: Simplify 2.0 into 2.0
7.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.904 * [taylor]: Taking taylor expansion of im in re
7.904 * [backup-simplify]: Simplify im into im
7.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
7.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
7.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
7.904 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.904 * [taylor]: Taking taylor expansion of re in re
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (/ 1 1) into 1
7.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.905 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.905 * [taylor]: Taking taylor expansion of re in re
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (* 1 1) into 1
7.906 * [backup-simplify]: Simplify (/ 1 1) into 1
7.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.906 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.906 * [taylor]: Taking taylor expansion of im in re
7.906 * [backup-simplify]: Simplify im into im
7.906 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.906 * [backup-simplify]: Simplify (+ 1 0) into 1
7.906 * [backup-simplify]: Simplify (sqrt 1) into 1
7.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (+ 0 0) into 0
7.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.908 * [backup-simplify]: Simplify (+ 1 1) into 2
7.908 * [backup-simplify]: Simplify (/ 1 2) into 1/2
7.909 * [backup-simplify]: Simplify (sqrt 0) into 0
7.909 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
7.910 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.910 * [taylor]: Taking taylor expansion of 2.0 in im
7.910 * [backup-simplify]: Simplify 2.0 into 2.0
7.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.910 * [taylor]: Taking taylor expansion of im in im
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.911 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.911 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.911 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.911 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.911 * [taylor]: Taking taylor expansion of re in im
7.911 * [backup-simplify]: Simplify re into re
7.911 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.911 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.911 * [taylor]: Taking taylor expansion of re in im
7.911 * [backup-simplify]: Simplify re into re
7.911 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.911 * [taylor]: Taking taylor expansion of im in im
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 1 into 1
7.912 * [backup-simplify]: Simplify (* 1 1) into 1
7.912 * [backup-simplify]: Simplify (/ 1 1) into 1
7.912 * [backup-simplify]: Simplify (+ 0 1) into 1
7.912 * [backup-simplify]: Simplify (sqrt 1) into 1
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.913 * [backup-simplify]: Simplify (+ 0 0) into 0
7.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.914 * [backup-simplify]: Simplify (+ 0 1) into 1
7.914 * [backup-simplify]: Simplify (/ 1 1) into 1
7.915 * [backup-simplify]: Simplify (sqrt 0) into 0
7.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.915 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
7.915 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
7.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.916 * [taylor]: Taking taylor expansion of 2.0 in im
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.918 * [taylor]: Taking taylor expansion of im in im
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.919 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
7.919 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
7.919 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.919 * [taylor]: Taking taylor expansion of re in im
7.919 * [backup-simplify]: Simplify re into re
7.919 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.919 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.919 * [taylor]: Taking taylor expansion of re in im
7.919 * [backup-simplify]: Simplify re into re
7.919 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.919 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.919 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.919 * [taylor]: Taking taylor expansion of im in im
7.919 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify 1 into 1
7.919 * [backup-simplify]: Simplify (* 1 1) into 1
7.920 * [backup-simplify]: Simplify (/ 1 1) into 1
7.920 * [backup-simplify]: Simplify (+ 0 1) into 1
7.920 * [backup-simplify]: Simplify (sqrt 1) into 1
7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.922 * [backup-simplify]: Simplify (+ 0 1) into 1
7.922 * [backup-simplify]: Simplify (/ 1 1) into 1
7.922 * [backup-simplify]: Simplify (sqrt 0) into 0
7.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.923 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.924 * [taylor]: Taking taylor expansion of 0 in re
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.925 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.925 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
7.925 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.925 * [taylor]: Taking taylor expansion of +nan.0 in re
7.925 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.925 * [taylor]: Taking taylor expansion of 2.0 in re
7.925 * [backup-simplify]: Simplify 2.0 into 2.0
7.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.927 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.928 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.929 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
7.930 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
7.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.933 * [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)))))
7.933 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
7.933 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
7.933 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.933 * [taylor]: Taking taylor expansion of +nan.0 in re
7.933 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.933 * [taylor]: Taking taylor expansion of 2.0 in re
7.934 * [backup-simplify]: Simplify 2.0 into 2.0
7.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.935 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
7.935 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.935 * [taylor]: Taking taylor expansion of +nan.0 in re
7.935 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.935 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.935 * [taylor]: Taking taylor expansion of 2.0 in re
7.935 * [backup-simplify]: Simplify 2.0 into 2.0
7.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.936 * [taylor]: Taking taylor expansion of re in re
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.938 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.941 * [backup-simplify]: Simplify (- 0) into 0
7.942 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.944 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.946 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.947 * [backup-simplify]: Simplify (- 0) into 0
7.947 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
7.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
7.951 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
7.953 * [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))))
7.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.959 * [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))))))))
7.959 * [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
7.959 * [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
7.959 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
7.959 * [taylor]: Taking taylor expansion of +nan.0 in re
7.959 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.959 * [taylor]: Taking taylor expansion of 2.0 in re
7.959 * [backup-simplify]: Simplify 2.0 into 2.0
7.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.960 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
7.960 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
7.960 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
7.960 * [taylor]: Taking taylor expansion of +nan.0 in re
7.960 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.960 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
7.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.960 * [taylor]: Taking taylor expansion of 2.0 in re
7.960 * [backup-simplify]: Simplify 2.0 into 2.0
7.961 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.962 * [taylor]: Taking taylor expansion of re in re
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 1 into 1
7.963 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
7.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
7.963 * [taylor]: Taking taylor expansion of +nan.0 in re
7.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.963 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
7.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.963 * [taylor]: Taking taylor expansion of 2.0 in re
7.963 * [backup-simplify]: Simplify 2.0 into 2.0
7.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.964 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.964 * [taylor]: Taking taylor expansion of re in re
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 1 into 1
7.965 * [backup-simplify]: Simplify (* 1 1) into 1
7.966 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.967 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.971 * [backup-simplify]: Simplify (- 0) into 0
7.972 * [backup-simplify]: Simplify (+ 0 0) into 0
7.972 * [backup-simplify]: Simplify (- 0) into 0
7.973 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
7.974 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.975 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.978 * [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))))))))
7.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
7.979 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
7.979 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
7.979 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
7.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.979 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.979 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.979 * [taylor]: Taking taylor expansion of im in im
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 1 into 1
7.979 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.979 * [taylor]: Taking taylor expansion of re in im
7.979 * [backup-simplify]: Simplify re into re
7.979 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.979 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.979 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.979 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.980 * [taylor]: Taking taylor expansion of re in im
7.980 * [backup-simplify]: Simplify re into re
7.980 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.980 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.980 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.980 * [taylor]: Taking taylor expansion of im in re
7.980 * [backup-simplify]: Simplify im into im
7.980 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.980 * [taylor]: Taking taylor expansion of re in re
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.980 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.980 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.980 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.981 * [taylor]: Taking taylor expansion of re in re
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
7.981 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.981 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.981 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.981 * [taylor]: Taking taylor expansion of im in re
7.981 * [backup-simplify]: Simplify im into im
7.981 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.981 * [taylor]: Taking taylor expansion of re in re
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.981 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.981 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.981 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.981 * [backup-simplify]: Simplify (+ 0 0) into 0
7.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.982 * [taylor]: Taking taylor expansion of re in re
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify (- 0) into 0
7.982 * [backup-simplify]: Simplify (+ im 0) into im
7.982 * [taylor]: Taking taylor expansion of im in im
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify (- 1) into -1
7.983 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.983 * [taylor]: Taking taylor expansion of -1 in im
7.983 * [backup-simplify]: Simplify -1 into -1
7.983 * [backup-simplify]: Simplify -1 into -1
7.983 * [backup-simplify]: Simplify 1 into 1
7.983 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.983 * [backup-simplify]: Simplify (* 1 1) into 1
7.984 * [backup-simplify]: Simplify (+ 0 1) into 1
7.984 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.984 * [backup-simplify]: Simplify (- 0) into 0
7.984 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
7.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.985 * [taylor]: Taking taylor expansion of 1/2 in im
7.985 * [backup-simplify]: Simplify 1/2 into 1/2
7.985 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.985 * [taylor]: Taking taylor expansion of im in im
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.985 * [backup-simplify]: Simplify (/ 1 1) into 1
7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 0 into 0
7.987 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.988 * [backup-simplify]: Simplify (+ 0 0) into 0
7.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.988 * [backup-simplify]: Simplify (- 0) into 0
7.989 * [backup-simplify]: Simplify (+ 0 0) into 0
7.989 * [taylor]: Taking taylor expansion of 0 in im
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
7.992 * [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))
7.992 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
7.992 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.992 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.992 * [taylor]: Taking taylor expansion of re in im
7.992 * [backup-simplify]: Simplify re into re
7.992 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.992 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.992 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.992 * [taylor]: Taking taylor expansion of im in im
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.993 * [backup-simplify]: Simplify (/ 1 1) into 1
7.994 * [backup-simplify]: Simplify (+ 0 1) into 1
7.994 * [backup-simplify]: Simplify (sqrt 1) into 1
7.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (+ 0 0) into 0
7.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.997 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.997 * [taylor]: Taking taylor expansion of re in im
7.997 * [backup-simplify]: Simplify re into re
7.997 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.997 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.997 * [taylor]: Taking taylor expansion of re in re
7.997 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify 1 into 1
7.998 * [backup-simplify]: Simplify (* 1 1) into 1
7.998 * [backup-simplify]: Simplify (/ 1 1) into 1
7.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.998 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.998 * [taylor]: Taking taylor expansion of im in re
7.998 * [backup-simplify]: Simplify im into im
7.998 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.999 * [backup-simplify]: Simplify (+ 1 0) into 1
7.999 * [backup-simplify]: Simplify (sqrt 1) into 1
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.002 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.002 * [taylor]: Taking taylor expansion of re in re
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (/ 1 1) into 1
8.003 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.003 * [taylor]: Taking taylor expansion of re in re
8.003 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (* 1 1) into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.004 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.004 * [taylor]: Taking taylor expansion of im in re
8.004 * [backup-simplify]: Simplify im into im
8.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.005 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.005 * [backup-simplify]: Simplify (+ 1 0) into 1
8.006 * [backup-simplify]: Simplify (sqrt 1) into 1
8.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (+ 0 0) into 0
8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.009 * [taylor]: Taking taylor expansion of re in re
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [backup-simplify]: Simplify (/ 1 1) into 1
8.010 * [backup-simplify]: Simplify (- 1) into -1
8.010 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.010 * [taylor]: Taking taylor expansion of 0 in im
8.010 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (- 0) into 0
8.012 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [taylor]: Taking taylor expansion of 0 in im
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (- 0) into 0
8.017 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.017 * [taylor]: Taking taylor expansion of 1/2 in im
8.017 * [backup-simplify]: Simplify 1/2 into 1/2
8.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.018 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.018 * [taylor]: Taking taylor expansion of im in im
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 1 into 1
8.018 * [backup-simplify]: Simplify (* 1 1) into 1
8.018 * [backup-simplify]: Simplify (/ 1 1) into 1
8.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.024 * [backup-simplify]: Simplify (+ 0 0) into 0
8.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (- 0) into 0
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.026 * [taylor]: Taking taylor expansion of 0 in im
8.026 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.029 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [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)))))
8.030 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.030 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.030 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.030 * [taylor]: Taking taylor expansion of re in im
8.030 * [backup-simplify]: Simplify re into re
8.030 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.030 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.030 * [taylor]: Taking taylor expansion of re in im
8.030 * [backup-simplify]: Simplify re into re
8.031 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.031 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.031 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.031 * [taylor]: Taking taylor expansion of im in im
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (* 1 1) into 1
8.032 * [backup-simplify]: Simplify (/ 1 1) into 1
8.032 * [backup-simplify]: Simplify (+ 0 1) into 1
8.032 * [backup-simplify]: Simplify (sqrt 1) into 1
8.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.034 * [backup-simplify]: Simplify (+ 0 0) into 0
8.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.035 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.035 * [taylor]: Taking taylor expansion of re in re
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify 1 into 1
8.036 * [backup-simplify]: Simplify (/ 1 1) into 1
8.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.036 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.036 * [taylor]: Taking taylor expansion of re in re
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.036 * [backup-simplify]: Simplify (* 1 1) into 1
8.037 * [backup-simplify]: Simplify (/ 1 1) into 1
8.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.037 * [taylor]: Taking taylor expansion of im in re
8.037 * [backup-simplify]: Simplify im into im
8.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.038 * [backup-simplify]: Simplify (+ 1 0) into 1
8.038 * [backup-simplify]: Simplify (sqrt 1) into 1
8.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.041 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.041 * [taylor]: Taking taylor expansion of re in re
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (/ 1 1) into 1
8.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.041 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.041 * [taylor]: Taking taylor expansion of re in re
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 1 into 1
8.042 * [backup-simplify]: Simplify (* 1 1) into 1
8.042 * [backup-simplify]: Simplify (/ 1 1) into 1
8.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.042 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.042 * [taylor]: Taking taylor expansion of im in re
8.042 * [backup-simplify]: Simplify im into im
8.042 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.042 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.043 * [backup-simplify]: Simplify (+ 1 0) into 1
8.043 * [backup-simplify]: Simplify (sqrt 1) into 1
8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (+ 0 0) into 0
8.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.046 * [backup-simplify]: Simplify (+ 1 1) into 2
8.046 * [taylor]: Taking taylor expansion of 2 in im
8.046 * [backup-simplify]: Simplify 2 into 2
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.047 * [backup-simplify]: Simplify (+ 0 0) into 0
8.048 * [taylor]: Taking taylor expansion of 0 in im
8.048 * [backup-simplify]: Simplify 0 into 0
8.048 * [backup-simplify]: Simplify 2 into 2
8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.055 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.055 * [taylor]: Taking taylor expansion of 1/2 in im
8.055 * [backup-simplify]: Simplify 1/2 into 1/2
8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.056 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.056 * [taylor]: Taking taylor expansion of im in im
8.056 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify 1 into 1
8.056 * [backup-simplify]: Simplify (* 1 1) into 1
8.057 * [backup-simplify]: Simplify (/ 1 1) into 1
8.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.064 * [backup-simplify]: Simplify (+ 0 0) into 0
8.064 * [taylor]: Taking taylor expansion of 0 in im
8.064 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.068 * * * [progress]: simplifying candidates
8.071 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* 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))))
  (- (log (sqrt (* 2.0 (+ (* im im) 0)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (* 2.0 (+ (* im im) 0)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* 2.0 (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* 2.0 (+ (* im im) 0))))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) 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 (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (+ (* im im) 0)))) (cbrt (sqrt (* 2.0 (+ (* im im) 0))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (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))
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  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
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  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) 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))))))))
  (- im re)
  0
  (* -2 re)
8.076 * * [simplify]: iteration 0: 212 enodes
8.128 * * [simplify]: iteration 1: 472 enodes
8.403 * * [simplify]: iteration 2: 2223 enodes
9.163 * * [simplify]: iteration complete: 5001 enodes
9.164 * * [simplify]: Extracting #0: cost 107 inf + 0
9.164 * * [simplify]: Extracting #1: cost 369 inf + 5
9.167 * * [simplify]: Extracting #2: cost 850 inf + 4656
9.175 * * [simplify]: Extracting #3: cost 1427 inf + 29887
9.214 * * [simplify]: Extracting #4: cost 777 inf + 127057
9.302 * * [simplify]: Extracting #5: cost 126 inf + 260075
9.372 * * [simplify]: Extracting #6: cost 25 inf + 293657
9.477 * * [simplify]: Extracting #7: cost 5 inf + 297469
9.544 * * [simplify]: Extracting #8: cost 0 inf + 298934
9.632 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
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  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
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  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
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  (sqrt (sqrt (+ (* re re) (* im im))))
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  (cbrt (sqrt (* (* im im) 2.0)))
  (* (sqrt (* (* im im) 2.0)) (* (* im im) 2.0))
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  (fabs (* im im))
  (sqrt (* (* (* im im) 2.0) (* im im)))
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  1/2
  1/2
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  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (/ (* (* im im) 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* (* im im) 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))
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  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
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  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
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  (/ (cbrt (sqrt (* (* im im) 2.0))) (/ (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (cbrt (sqrt (* (* im im) 2.0)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  1
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  1
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  1
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  im
  re
  (- re)
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (* (sqrt 2.0) (- im))
  (+ (/ (* (* +nan.0 (* im im)) (- (sqrt 2.0))) (sqrt 2)) (* +nan.0 (- (* (* (sqrt 2) re) (sqrt 2.0)) (* (* (* (sqrt 2) re) (sqrt 2.0)) re))))
  (+ (* +nan.0 (- (sqrt 2.0) (/ re (/ im (sqrt 2.0))))) (* (- (/ +nan.0 im)) (/ re (/ im (sqrt 2.0)))))
  (+ (- (* (sqrt 2.0) +nan.0)) (- (/ +nan.0 (/ im (sqrt 2.0))) (/ (/ +nan.0 (/ im (sqrt 2.0))) im)))
  (- im re)
  0
  (* -2 re)
9.647 * * * [progress]: adding candidates to table
10.270 * [progress]: [Phase 3 of 3] Extracting.
10.270 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.272 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
10.272 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.388 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
10.474 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.612 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.740 * * * [regime]: Found split indices: #<option (#s(si 3 41) #s(si 8 140) #s(si 1 209) #s(si 5 255))>
10.740 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.979 * [regimes]: Found splitpoints: (#s(sp 3 re -1.3694996904889312e+154) #s(sp 8 re 2.0595714699992015e-305) #s(sp 1 re 6.557741771668357e+115) #s(sp 5 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>)
10.979 * [simplify]: Simplifying:
  (if (<= re -1.3694996904889312e+154) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (* -2 re)))) (if (<= re 2.0595714699992015e-305) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (if (<= re 6.557741771668357e+115) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
10.980 * * [simplify]: iteration 0: 45 enodes
10.982 * * [simplify]: iteration 1: 57 enodes
10.984 * * [simplify]: iteration 2: 58 enodes
10.986 * * [simplify]: iteration complete: 58 enodes
10.986 * * [simplify]: Extracting #0: cost 1 inf + 0
10.986 * * [simplify]: Extracting #1: cost 4 inf + 0
10.986 * * [simplify]: Extracting #2: cost 11 inf + 0
10.986 * * [simplify]: Extracting #3: cost 15 inf + 3
10.986 * * [simplify]: Extracting #4: cost 20 inf + 71
10.986 * * [simplify]: Extracting #5: cost 26 inf + 139
10.986 * * [simplify]: Extracting #6: cost 26 inf + 332
10.986 * * [simplify]: Extracting #7: cost 23 inf + 498
10.987 * * [simplify]: Extracting #8: cost 20 inf + 947
10.987 * * [simplify]: Extracting #9: cost 18 inf + 1598
10.987 * * [simplify]: Extracting #10: cost 19 inf + 1598
10.987 * * [simplify]: Extracting #11: cost 17 inf + 1761
10.988 * * [simplify]: Extracting #12: cost 15 inf + 2125
10.988 * * [simplify]: Extracting #13: cost 11 inf + 3174
10.989 * * [simplify]: Extracting #14: cost 6 inf + 5160
10.990 * * [simplify]: Extracting #15: cost 3 inf + 6368
10.991 * * [simplify]: Extracting #16: cost 1 inf + 8078
11.001 * * [simplify]: Extracting #17: cost 0 inf + 9636
11.003 * [simplify]: Simplified to:
  (if (<= re -1.3694996904889312e+154) (* (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))) 0.5) (if (<= re 2.0595714699992015e-305) (* (* (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 0.5) (if (<= re 6.557741771668357e+115) (* 0.5 (sqrt (* 2.0 (+ re (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (* (sqrt (* (+ re re) 2.0)) 0.5))))
14.711 * [regime-testing]: Baseline error score: 37.2525045060719
14.729 * [regime-testing]: Oracle error score: 9.958173439255011
14.756 * [regime-testing]: End program error score: 18.836668182244956
14.903 * [regime-testing]: Target error score: 33.56389355888506