55.554 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.037 * * * [progress]: [2/2] Setting up program.
0.045 * [progress]: [Phase 2 of 3] Improving.
0.046 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.046 * * [simplify]: Extracting # 0 : cost  0
0.046 * * [simplify]: Extracting # 1 : cost  0
0.046 * * [simplify]: Extracting # 2 : cost  0
0.046 * * [simplify]: Extracting # 3 : cost  0
0.046 * * [simplify]: Extracting # 4 : cost  0
0.046 * * [simplify]: Extracting # 5 : cost  0
0.046 * * [simplify]: Extracting # 6 : cost  0
0.046 * * [simplify]: Extracting # 7 : cost  0
0.047 * * [simplify]: Extracting # 8 : cost  0
0.047 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.051 * * [simplify]: Extracting # 0 : cost  0
0.051 * * [simplify]: Extracting # 1 : cost  0
0.051 * * [simplify]: Extracting # 2 : cost  0
0.051 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.058 * * [simplify]: Extracting # 0 : cost  0
0.058 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.066 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.066 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.066 * * [progress]: iteration 1 / 4
0.066 * * * [progress]: picking best candidate
0.068 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.068 * * * [progress]: localizing error
0.078 * * * [progress]: generating rewritten candidates
0.078 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.087 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.167 * * * [progress]: generating series expansions
0.167 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.167 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.167 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.167 * [taylor]: Taking taylor expansion of re in im
0.168 * [backup-simplify]: Simplify re into re
0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.168 * [taylor]: Taking taylor expansion of im in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.168 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.168 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.168 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.169 * [taylor]: Taking taylor expansion of re in re
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.169 * [taylor]: Taking taylor expansion of im in re
0.169 * [backup-simplify]: Simplify im into im
0.169 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.169 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.171 * [taylor]: Taking taylor expansion of re in re
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.171 * [taylor]: Taking taylor expansion of im in re
0.171 * [backup-simplify]: Simplify im into im
0.171 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.172 * [taylor]: Taking taylor expansion of im in im
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [taylor]: Taking taylor expansion of 0 in im
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 1 1) into 1
0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.173 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.174 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.174 * [taylor]: Taking taylor expansion of 1/2 in im
0.174 * [backup-simplify]: Simplify 1/2 into 1/2
0.174 * [taylor]: Taking taylor expansion of im in im
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.178 * [taylor]: Taking taylor expansion of 0 in im
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.179 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.180 * [taylor]: Taking taylor expansion of im in im
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (* 1 1) into 1
0.180 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.181 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.181 * [taylor]: Taking taylor expansion of re in im
0.181 * [backup-simplify]: Simplify re into re
0.181 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.185 * [taylor]: Taking taylor expansion of im in re
0.185 * [backup-simplify]: Simplify im into im
0.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.185 * [taylor]: Taking taylor expansion of re in re
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ 0 1) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.189 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.189 * [taylor]: Taking taylor expansion of im in re
0.189 * [backup-simplify]: Simplify im into im
0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.189 * [taylor]: Taking taylor expansion of re in re
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.190 * [backup-simplify]: Simplify (+ 0 1) into 1
0.191 * [backup-simplify]: Simplify (sqrt 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.193 * [taylor]: Taking taylor expansion of 1 in im
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [taylor]: Taking taylor expansion of 0 in im
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.196 * [taylor]: Taking taylor expansion of 1/2 in im
0.196 * [backup-simplify]: Simplify 1/2 into 1/2
0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.196 * [taylor]: Taking taylor expansion of im in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.202 * [taylor]: Taking taylor expansion of 0 in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.203 * [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 0 into 0
0.204 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.204 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.204 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.204 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.204 * [taylor]: Taking taylor expansion of im in im
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [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))
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (sqrt 1) into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.209 * [taylor]: Taking taylor expansion of im in re
0.209 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.209 * [taylor]: Taking taylor expansion of re in re
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ 0 1) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.214 * [backup-simplify]: Simplify (/ 1 1) into 1
0.215 * [backup-simplify]: Simplify (+ 0 1) into 1
0.215 * [backup-simplify]: Simplify (sqrt 1) into 1
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.217 * [taylor]: Taking taylor expansion of 1 in im
0.217 * [backup-simplify]: Simplify 1 into 1
0.218 * [taylor]: Taking taylor expansion of 0 in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.221 * [taylor]: Taking taylor expansion of 1/2 in im
0.221 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.227 * [taylor]: Taking taylor expansion of 0 in im
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.229 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.229 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.229 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.229 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.229 * [taylor]: Taking taylor expansion of re in im
0.229 * [backup-simplify]: Simplify re into re
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.229 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.229 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.229 * [taylor]: Taking taylor expansion of re in im
0.229 * [backup-simplify]: Simplify re into re
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.230 * [taylor]: Taking taylor expansion of im in im
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.230 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.231 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.231 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.231 * [taylor]: Taking taylor expansion of im in re
0.231 * [backup-simplify]: Simplify im into im
0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.231 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.232 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.233 * [taylor]: Taking taylor expansion of im in re
0.233 * [backup-simplify]: Simplify im into im
0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.233 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.234 * [backup-simplify]: Simplify (+ 0 im) into im
0.234 * [taylor]: Taking taylor expansion of im in im
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [taylor]: Taking taylor expansion of 1 in im
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.236 * [backup-simplify]: Simplify (+ 1 0) into 1
0.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.237 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.237 * [taylor]: Taking taylor expansion of 1/2 in im
0.237 * [backup-simplify]: Simplify 1/2 into 1/2
0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.237 * [taylor]: Taking taylor expansion of im in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [taylor]: Taking taylor expansion of 0 in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.244 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.244 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.244 * [taylor]: Taking taylor expansion of re in im
0.244 * [backup-simplify]: Simplify re into re
0.244 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.244 * [taylor]: Taking taylor expansion of im in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.245 * [backup-simplify]: Simplify (/ 1 1) into 1
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.245 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.245 * [taylor]: Taking taylor expansion of re in im
0.245 * [backup-simplify]: Simplify re into re
0.245 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.246 * [backup-simplify]: Simplify (+ 1 0) into 1
0.246 * [backup-simplify]: Simplify (sqrt 1) into 1
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (/ 1 1) into 1
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.249 * [taylor]: Taking taylor expansion of im in re
0.249 * [backup-simplify]: Simplify im into im
0.249 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.249 * [taylor]: Taking taylor expansion of re in re
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [backup-simplify]: Simplify (+ 0 1) into 1
0.251 * [backup-simplify]: Simplify (sqrt 1) into 1
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.254 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.254 * [taylor]: Taking taylor expansion of im in re
0.254 * [backup-simplify]: Simplify im into im
0.254 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.254 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.254 * [taylor]: Taking taylor expansion of re in re
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ 0 1) into 1
0.256 * [backup-simplify]: Simplify (sqrt 1) into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [backup-simplify]: Simplify (+ 1 1) into 2
0.259 * [taylor]: Taking taylor expansion of 2 in im
0.259 * [backup-simplify]: Simplify 2 into 2
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [taylor]: Taking taylor expansion of 0 in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 2 into 2
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.268 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.268 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.268 * [taylor]: Taking taylor expansion of 1/2 in im
0.268 * [backup-simplify]: Simplify 1/2 into 1/2
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in im
0.276 * [backup-simplify]: Simplify 0 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
0.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.279 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.279 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
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
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.280 * [taylor]: Taking taylor expansion of re in im
0.280 * [backup-simplify]: Simplify re into re
0.280 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.284 * [taylor]: Taking taylor expansion of re in im
0.284 * [backup-simplify]: Simplify re into re
0.284 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.285 * [taylor]: Taking taylor expansion of im in re
0.285 * [backup-simplify]: Simplify im into im
0.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.285 * [taylor]: Taking taylor expansion of re in re
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.289 * [taylor]: Taking taylor expansion of re in re
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.290 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.290 * [taylor]: Taking taylor expansion of im in re
0.290 * [backup-simplify]: Simplify im into im
0.290 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.290 * [taylor]: Taking taylor expansion of re in re
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (sqrt 1) into 1
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.294 * [taylor]: Taking taylor expansion of re in re
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [backup-simplify]: Simplify (- 1) into -1
0.295 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.295 * [taylor]: Taking taylor expansion of 0 in im
0.295 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (- 0) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in im
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.300 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (- 0) into 0
0.302 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.302 * [taylor]: Taking taylor expansion of 1/2 in im
0.302 * [backup-simplify]: Simplify 1/2 into 1/2
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.302 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.302 * [taylor]: Taking taylor expansion of im in im
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (- 0) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.314 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))))
0.314 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.314 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.314 * [taylor]: Taking taylor expansion of 2.0 in im
0.314 * [backup-simplify]: Simplify 2.0 into 2.0
0.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.315 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.315 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.315 * [taylor]: Taking taylor expansion of re in im
0.315 * [backup-simplify]: Simplify re into re
0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.315 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.315 * [taylor]: Taking taylor expansion of re in im
0.315 * [backup-simplify]: Simplify re into re
0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.315 * [taylor]: Taking taylor expansion of im in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.316 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.316 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.316 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.317 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.317 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.317 * [taylor]: Taking taylor expansion of 2.0 in re
0.317 * [backup-simplify]: Simplify 2.0 into 2.0
0.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.319 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 im) into im
0.320 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.321 * [taylor]: Taking taylor expansion of 2.0 in re
0.321 * [backup-simplify]: Simplify 2.0 into 2.0
0.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.322 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.322 * [taylor]: Taking taylor expansion of re in re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.322 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.322 * [taylor]: Taking taylor expansion of re in re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.322 * [taylor]: Taking taylor expansion of im in re
0.322 * [backup-simplify]: Simplify im into im
0.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.323 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 im) into im
0.324 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.324 * [backup-simplify]: Simplify (+ 1 0) into 1
0.324 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.325 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.325 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.325 * [taylor]: Taking taylor expansion of 2.0 in im
0.325 * [backup-simplify]: Simplify 2.0 into 2.0
0.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.326 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.326 * [taylor]: Taking taylor expansion of im in im
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (sqrt 0) into 0
0.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.328 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.329 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.329 * [taylor]: Taking taylor expansion of 1/2 in im
0.329 * [backup-simplify]: Simplify 1/2 into 1/2
0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.329 * [taylor]: Taking taylor expansion of 2.0 in im
0.329 * [backup-simplify]: Simplify 2.0 into 2.0
0.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.331 * [taylor]: Taking taylor expansion of (/ 1 im) 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
0.331 * [backup-simplify]: Simplify (sqrt 0) into 0
0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.335 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.336 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.341 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.343 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.345 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.347 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.348 * [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))))
0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.350 * [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)))))
0.350 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.350 * [taylor]: Taking taylor expansion of 1/8 in im
0.350 * [backup-simplify]: Simplify 1/8 into 1/8
0.350 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.350 * [taylor]: Taking taylor expansion of 2.0 in im
0.350 * [backup-simplify]: Simplify 2.0 into 2.0
0.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.351 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.351 * [taylor]: Taking taylor expansion of im in im
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (sqrt 0) into 0
0.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.359 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.364 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.367 * [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)))))))
0.367 * [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 im 2)) (/ 1 (pow re 2)))))))
0.367 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0
0.367 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.367 * [taylor]: Taking taylor expansion of 2.0 in im
0.367 * [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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.368 * [taylor]: Taking taylor expansion of re in im
0.368 * [backup-simplify]: Simplify re into re
0.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.368 * [taylor]: Taking taylor expansion of (pow im 2) 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 (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.369 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.369 * [taylor]: Taking taylor expansion of re in im
0.369 * [backup-simplify]: Simplify re into re
0.369 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.369 * [backup-simplify]: Simplify (+ 1 0) into 1
0.370 * [backup-simplify]: Simplify (sqrt 1) into 1
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.371 * [backup-simplify]: Simplify (+ 0 1) into 1
0.371 * [backup-simplify]: Simplify (sqrt 0) into 0
0.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.372 * [taylor]: Taking taylor expansion of 2.0 in re
0.372 * [backup-simplify]: Simplify 2.0 into 2.0
0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.373 * [taylor]: Taking taylor expansion of re in re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.373 * [taylor]: Taking taylor expansion of im in re
0.373 * [backup-simplify]: Simplify im into im
0.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.374 * [taylor]: Taking taylor expansion of re in re
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.374 * [backup-simplify]: Simplify (+ 0 1) into 1
0.375 * [backup-simplify]: Simplify (sqrt 1) into 1
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.376 * [backup-simplify]: Simplify (+ 1 1) into 2
0.377 * [backup-simplify]: Simplify (sqrt 0) into 0
0.377 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.377 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.377 * [taylor]: Taking taylor expansion of 2.0 in re
0.377 * [backup-simplify]: Simplify 2.0 into 2.0
0.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.378 * [taylor]: Taking taylor expansion of re in re
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.379 * [taylor]: Taking taylor expansion of im in re
0.379 * [backup-simplify]: Simplify im into im
0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.379 * [taylor]: Taking taylor expansion of re in re
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [backup-simplify]: Simplify (+ 0 1) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.381 * [backup-simplify]: Simplify (+ 1 1) into 2
0.382 * [backup-simplify]: Simplify (sqrt 0) into 0
0.382 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.383 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.383 * [taylor]: Taking taylor expansion of 0 in im
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.384 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.384 * [taylor]: Taking taylor expansion of +nan.0 in im
0.384 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.384 * [taylor]: Taking taylor expansion of 2.0 in im
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.399 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.399 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.399 * [taylor]: Taking taylor expansion of +nan.0 in im
0.399 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.399 * [taylor]: Taking taylor expansion of 2.0 in im
0.399 * [backup-simplify]: Simplify 2.0 into 2.0
0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.402 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.403 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.405 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.405 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.409 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.411 * [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))
0.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.414 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.414 * [taylor]: Taking taylor expansion of +nan.0 in im
0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.414 * [taylor]: Taking taylor expansion of 2.0 in im
0.414 * [backup-simplify]: Simplify 2.0 into 2.0
0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.415 * [taylor]: Taking taylor expansion of im in im
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.417 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.417 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.417 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.417 * [taylor]: Taking taylor expansion of +nan.0 in im
0.417 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.417 * [taylor]: Taking taylor expansion of 2.0 in im
0.417 * [backup-simplify]: Simplify 2.0 into 2.0
0.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [backup-simplify]: Simplify (- 0) into 0
0.421 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.425 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.426 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [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)))
0.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.437 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.437 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.437 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.437 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.437 * [taylor]: Taking taylor expansion of +nan.0 in im
0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.437 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.437 * [taylor]: Taking taylor expansion of 2.0 in im
0.437 * [backup-simplify]: Simplify 2.0 into 2.0
0.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.438 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.438 * [taylor]: Taking taylor expansion of im in im
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.439 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.439 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.439 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.440 * [taylor]: Taking taylor expansion of +nan.0 in im
0.440 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.440 * [taylor]: Taking taylor expansion of 2.0 in im
0.440 * [backup-simplify]: Simplify 2.0 into 2.0
0.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.449 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.451 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.453 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.455 * [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)))
0.462 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.462 * [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 im 2)) (/ 1 (pow re 2)))) (/ 1 re))))
0.462 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0
0.462 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.462 * [taylor]: Taking taylor expansion of 2.0 in im
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.464 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.464 * [taylor]: Taking taylor expansion of im in im
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.465 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.465 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.465 * [backup-simplify]: Simplify (+ 1 0) into 1
0.466 * [backup-simplify]: Simplify (sqrt 1) into 1
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.468 * [taylor]: Taking taylor expansion of re in im
0.469 * [backup-simplify]: Simplify re into re
0.469 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.469 * [backup-simplify]: Simplify (+ 1 0) into 1
0.469 * [backup-simplify]: Simplify (sqrt 0) into 0
0.471 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.471 * [taylor]: Taking taylor expansion of 2.0 in re
0.471 * [backup-simplify]: Simplify 2.0 into 2.0
0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.472 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.472 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.472 * [taylor]: Taking taylor expansion of im in re
0.472 * [backup-simplify]: Simplify im into im
0.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [backup-simplify]: Simplify (+ 0 1) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.477 * [taylor]: Taking taylor expansion of re in re
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (/ 1 1) into 1
0.478 * [backup-simplify]: Simplify (- 1) into -1
0.478 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- 0) into 0
0.479 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.483 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (- 0) into 0
0.484 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.485 * [backup-simplify]: Simplify (sqrt 0) into 0
0.485 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.485 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.485 * [taylor]: Taking taylor expansion of 2.0 in re
0.485 * [backup-simplify]: Simplify 2.0 into 2.0
0.486 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.486 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.487 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.487 * [taylor]: Taking taylor expansion of im in re
0.487 * [backup-simplify]: Simplify im into im
0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.487 * [taylor]: Taking taylor expansion of re in re
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [backup-simplify]: Simplify (+ 0 1) into 1
0.489 * [backup-simplify]: Simplify (sqrt 1) into 1
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.491 * [taylor]: Taking taylor expansion of re in re
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [backup-simplify]: Simplify (- 1) into -1
0.492 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (- 0) into 0
0.499 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.499 * [backup-simplify]: Simplify (sqrt 0) into 0
0.500 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.501 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in im
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.502 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.502 * [taylor]: Taking taylor expansion of +nan.0 in im
0.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.502 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.503 * [taylor]: Taking taylor expansion of im in im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.507 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.516 * [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))))
0.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.516 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.516 * [taylor]: Taking taylor expansion of +nan.0 in im
0.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.516 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.516 * [taylor]: Taking taylor expansion of 2.0 in im
0.516 * [backup-simplify]: Simplify 2.0 into 2.0
0.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.517 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.517 * [taylor]: Taking taylor expansion of im in im
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 1) into 1
0.519 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.549 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.552 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 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))))))
0.552 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.552 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.552 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.552 * [taylor]: Taking taylor expansion of +nan.0 in im
0.552 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.552 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.552 * [taylor]: Taking taylor expansion of 2.0 in im
0.553 * [backup-simplify]: Simplify 2.0 into 2.0
0.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.554 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.556 * [taylor]: Taking taylor expansion of +nan.0 in im
0.556 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.556 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.556 * [taylor]: Taking taylor expansion of 2.0 in im
0.556 * [backup-simplify]: Simplify 2.0 into 2.0
0.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.557 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.557 * [taylor]: Taking taylor expansion of im in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [backup-simplify]: Simplify (* 1 1) into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.559 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.584 * [backup-simplify]: Simplify (- 0) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (- 0) into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * * * [progress]: simplifying candidates
0.585 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 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
  (- (+ (* +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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
0.586 * * [simplify]: Extracting # 0 : cost  0
0.586 * * [simplify]: Extracting # 1 : cost  0
0.586 * * [simplify]: Extracting # 2 : cost  0
0.586 * * [simplify]: Extracting # 3 : cost  0
0.586 * * [simplify]: Extracting # 4 : cost  0
0.586 * * [simplify]: Extracting # 5 : cost  0
0.587 * * [simplify]: Extracting # 6 : cost  0
0.587 * * [simplify]: Extracting # 7 : cost  0
0.587 * * [simplify]: Extracting # 8 : cost  0
0.587 * * [simplify]: Extracting # 9 : cost  0
0.587 * * [simplify]: Extracting # 10 : cost  0
0.587 * * [simplify]: Extracting # 11 : cost  0
0.587 * * [simplify]: Extracting # 12 : cost  0
0.587 * * [simplify]: iteration  0 :  99  enodes  (cost  722 )
0.608 * * [simplify]: Extracting # 0 : cost  0
0.608 * * [simplify]: Extracting # 1 : cost  0
0.608 * * [simplify]: Extracting # 2 : cost  0
0.609 * * [simplify]: Extracting # 3 : cost  0
0.609 * * [simplify]: Extracting # 4 : cost  0
0.609 * * [simplify]: iteration  1 :  243  enodes  (cost  617 )
0.715 * * [simplify]: Extracting # 0 : cost  0
0.717 * * [simplify]: Extracting # 1 : cost  0
0.718 * * [simplify]: Extracting # 2 : cost  0
0.719 * * [simplify]: Extracting # 3 : cost  0
0.720 * * [simplify]: Extracting # 4 : cost  0
0.722 * * [simplify]: iteration  2 :  642  enodes  (cost  569 )
1.028 * * [simplify]: Extracting # 0 : cost  0
1.031 * * [simplify]: Extracting # 1 : cost  0
1.035 * * [simplify]: Extracting # 2 : cost  0
1.038 * * [simplify]: Extracting # 3 : cost  0
1.041 * * [simplify]: Extracting # 4 : cost  0
1.044 * * [simplify]: iteration  3 :  1604  enodes  (cost  542 )
2.572 * * [simplify]: Extracting # 0 : cost  0
2.581 * * [simplify]: Extracting # 1 : cost  0
2.587 * * [simplify]: Extracting # 2 : cost  0
2.594 * * [simplify]: Extracting # 3 : cost  0
2.597 * * [simplify]: Extracting # 4 : cost  0
2.600 * * [simplify]: iteration  4 :  4024  enodes  (cost  537 )
4.227 * * [simplify]: Extracting # 0 : cost  0
4.231 * * [simplify]: Extracting # 1 : cost  0
4.236 * * [simplify]: Extracting # 2 : cost  0
4.240 * * [simplify]: Extracting # 3 : cost  0
4.245 * * [simplify]: Extracting # 4 : cost  0
4.249 * * [simplify]: iteration done:  5000  enodes  (cost  537 )
4.249 * [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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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))) 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))
  (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))) (* im im))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (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))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))) (* im im)))
  (sqrt (* (* im im) 2.0))
  (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
  (- re)
  (+ re im)
  (+ re re)
  0
  (* +nan.0 (* (sqrt 2.0) (- (- im re) (* re re))))
  (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0)))
  0
4.255 * * * [progress]: adding candidates to table
4.471 * * [progress]: iteration 2 / 4
4.471 * * * [progress]: picking best candidate
4.493 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.493 * * * [progress]: localizing error
4.515 * * * [progress]: generating rewritten candidates
4.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
4.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
4.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
4.548 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
4.656 * * * [progress]: generating series expansions
4.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
4.656 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.656 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.656 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.656 * [taylor]: Taking taylor expansion of re in im
4.656 * [backup-simplify]: Simplify re into re
4.656 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.656 * [taylor]: Taking taylor expansion of im in im
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.657 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.657 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.657 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.657 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.658 * [backup-simplify]: Simplify (+ 0 0) into 0
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.658 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.658 * [taylor]: Taking taylor expansion of re in re
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.658 * [taylor]: Taking taylor expansion of im in re
4.659 * [backup-simplify]: Simplify im into im
4.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.659 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.659 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.659 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.660 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.660 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.660 * [taylor]: Taking taylor expansion of re in re
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.660 * [taylor]: Taking taylor expansion of im in re
4.660 * [backup-simplify]: Simplify im into im
4.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.660 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.660 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.661 * [backup-simplify]: Simplify (+ 0 0) into 0
4.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.661 * [taylor]: Taking taylor expansion of im in im
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [taylor]: Taking taylor expansion of 0 in im
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.662 * [backup-simplify]: Simplify (* 1 1) into 1
4.662 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.663 * [backup-simplify]: Simplify (+ 1 0) into 1
4.664 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.664 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.664 * [taylor]: Taking taylor expansion of 1/2 in im
4.664 * [backup-simplify]: Simplify 1/2 into 1/2
4.664 * [taylor]: Taking taylor expansion of im in im
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.667 * [backup-simplify]: Simplify (+ 0 0) into 0
4.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.668 * [taylor]: Taking taylor expansion of 0 in im
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.669 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.669 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.669 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.669 * [taylor]: Taking taylor expansion of im in im
4.669 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [backup-simplify]: Simplify (* 1 1) into 1
4.670 * [backup-simplify]: Simplify (/ 1 1) into 1
4.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.670 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.670 * [taylor]: Taking taylor expansion of re in im
4.670 * [backup-simplify]: Simplify re into re
4.670 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.671 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.671 * [backup-simplify]: Simplify (+ 1 0) into 1
4.671 * [backup-simplify]: Simplify (sqrt 1) into 1
4.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.673 * [backup-simplify]: Simplify (+ 0 0) into 0
4.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.674 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.674 * [taylor]: Taking taylor expansion of im in re
4.674 * [backup-simplify]: Simplify im into im
4.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.674 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.674 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.674 * [taylor]: Taking taylor expansion of re in re
4.675 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [backup-simplify]: Simplify (* 1 1) into 1
4.675 * [backup-simplify]: Simplify (/ 1 1) into 1
4.676 * [backup-simplify]: Simplify (+ 0 1) into 1
4.676 * [backup-simplify]: Simplify (sqrt 1) into 1
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ 0 0) into 0
4.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.679 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.679 * [taylor]: Taking taylor expansion of im in re
4.679 * [backup-simplify]: Simplify im into im
4.679 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.679 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.679 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.679 * [taylor]: Taking taylor expansion of re in re
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.680 * [backup-simplify]: Simplify (/ 1 1) into 1
4.680 * [backup-simplify]: Simplify (+ 0 1) into 1
4.681 * [backup-simplify]: Simplify (sqrt 1) into 1
4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.683 * [taylor]: Taking taylor expansion of 1 in im
4.683 * [backup-simplify]: Simplify 1 into 1
4.683 * [taylor]: Taking taylor expansion of 0 in im
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.687 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.687 * [taylor]: Taking taylor expansion of 1/2 in im
4.687 * [backup-simplify]: Simplify 1/2 into 1/2
4.687 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.687 * [taylor]: Taking taylor expansion of im in im
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [backup-simplify]: Simplify (* 1 1) into 1
4.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.691 * [taylor]: Taking taylor expansion of 0 in im
4.691 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.693 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.693 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.693 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.693 * [taylor]: Taking taylor expansion of im in im
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify (* 1 1) into 1
4.693 * [backup-simplify]: Simplify (/ 1 1) into 1
4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.693 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.693 * [taylor]: Taking taylor expansion of re in im
4.693 * [backup-simplify]: Simplify re into re
4.693 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.694 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.694 * [backup-simplify]: Simplify (+ 1 0) into 1
4.694 * [backup-simplify]: Simplify (sqrt 1) into 1
4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.695 * [backup-simplify]: Simplify (+ 0 0) into 0
4.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.695 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.696 * [taylor]: Taking taylor expansion of im in re
4.696 * [backup-simplify]: Simplify im into im
4.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.696 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.696 * [taylor]: Taking taylor expansion of re in re
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 1 into 1
4.696 * [backup-simplify]: Simplify (* 1 1) into 1
4.696 * [backup-simplify]: Simplify (/ 1 1) into 1
4.696 * [backup-simplify]: Simplify (+ 0 1) into 1
4.697 * [backup-simplify]: Simplify (sqrt 1) into 1
4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.698 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.698 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.698 * [taylor]: Taking taylor expansion of im in re
4.698 * [backup-simplify]: Simplify im into im
4.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.698 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.698 * [taylor]: Taking taylor expansion of re in re
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (* 1 1) into 1
4.699 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [backup-simplify]: Simplify (+ 0 1) into 1
4.699 * [backup-simplify]: Simplify (sqrt 1) into 1
4.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.701 * [taylor]: Taking taylor expansion of 1 in im
4.701 * [backup-simplify]: Simplify 1 into 1
4.701 * [taylor]: Taking taylor expansion of 0 in im
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify 1 into 1
4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.702 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.703 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.703 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.703 * [taylor]: Taking taylor expansion of 1/2 in im
4.703 * [backup-simplify]: Simplify 1/2 into 1/2
4.703 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.703 * [taylor]: Taking taylor expansion of im in im
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 1 into 1
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.707 * [taylor]: Taking taylor expansion of 0 in im
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
4.708 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.708 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.708 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.708 * [taylor]: Taking taylor expansion of re in im
4.708 * [backup-simplify]: Simplify re into re
4.708 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.708 * [taylor]: Taking taylor expansion of im in im
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.708 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.708 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.709 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.709 * [backup-simplify]: Simplify (+ 0 0) into 0
4.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.709 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.709 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.709 * [taylor]: Taking taylor expansion of re in re
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.709 * [taylor]: Taking taylor expansion of im in re
4.709 * [backup-simplify]: Simplify im into im
4.709 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.709 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.709 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.710 * [backup-simplify]: Simplify (+ 0 0) into 0
4.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.710 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.710 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.710 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.710 * [taylor]: Taking taylor expansion of re in re
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.710 * [taylor]: Taking taylor expansion of im in re
4.710 * [backup-simplify]: Simplify im into im
4.710 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.710 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.711 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.711 * [taylor]: Taking taylor expansion of im in im
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [taylor]: Taking taylor expansion of 0 in im
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify (* 1 1) into 1
4.712 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.712 * [backup-simplify]: Simplify (+ 1 0) into 1
4.712 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.712 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.712 * [taylor]: Taking taylor expansion of 1/2 in im
4.712 * [backup-simplify]: Simplify 1/2 into 1/2
4.712 * [taylor]: Taking taylor expansion of im in im
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.713 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.717 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.717 * [backup-simplify]: Simplify (+ 0 0) into 0
4.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.717 * [taylor]: Taking taylor expansion of 0 in im
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.718 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.718 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.718 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.718 * [taylor]: Taking taylor expansion of im in im
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (* 1 1) into 1
4.719 * [backup-simplify]: Simplify (/ 1 1) into 1
4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.719 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.719 * [taylor]: Taking taylor expansion of re in im
4.719 * [backup-simplify]: Simplify re into re
4.719 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.719 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.719 * [backup-simplify]: Simplify (+ 1 0) into 1
4.719 * [backup-simplify]: Simplify (sqrt 1) into 1
4.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (+ 0 0) into 0
4.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.721 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.721 * [taylor]: Taking taylor expansion of im in re
4.721 * [backup-simplify]: Simplify im into im
4.721 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.721 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.721 * [taylor]: Taking taylor expansion of re in re
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (* 1 1) into 1
4.722 * [backup-simplify]: Simplify (/ 1 1) into 1
4.722 * [backup-simplify]: Simplify (+ 0 1) into 1
4.722 * [backup-simplify]: Simplify (sqrt 1) into 1
4.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (+ 0 0) into 0
4.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.724 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.724 * [taylor]: Taking taylor expansion of im in re
4.724 * [backup-simplify]: Simplify im into im
4.724 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.724 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.724 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.724 * [taylor]: Taking taylor expansion of re in re
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 1 into 1
4.724 * [backup-simplify]: Simplify (* 1 1) into 1
4.724 * [backup-simplify]: Simplify (/ 1 1) into 1
4.725 * [backup-simplify]: Simplify (+ 0 1) into 1
4.725 * [backup-simplify]: Simplify (sqrt 1) into 1
4.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ 0 0) into 0
4.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.726 * [taylor]: Taking taylor expansion of 1 in im
4.726 * [backup-simplify]: Simplify 1 into 1
4.726 * [taylor]: Taking taylor expansion of 0 in im
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.728 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.728 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.728 * [taylor]: Taking taylor expansion of 1/2 in im
4.728 * [backup-simplify]: Simplify 1/2 into 1/2
4.728 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.728 * [taylor]: Taking taylor expansion of im in im
4.728 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (* 1 1) into 1
4.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (+ 0 0) into 0
4.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.732 * [taylor]: Taking taylor expansion of 0 in im
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.733 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.733 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.733 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.733 * [taylor]: Taking taylor expansion of im in im
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 1 into 1
4.734 * [backup-simplify]: Simplify (* 1 1) into 1
4.734 * [backup-simplify]: Simplify (/ 1 1) into 1
4.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.734 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.734 * [taylor]: Taking taylor expansion of re in im
4.734 * [backup-simplify]: Simplify re into re
4.734 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.734 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.734 * [backup-simplify]: Simplify (+ 1 0) into 1
4.735 * [backup-simplify]: Simplify (sqrt 1) into 1
4.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (+ 0 0) into 0
4.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.736 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.736 * [taylor]: Taking taylor expansion of im in re
4.736 * [backup-simplify]: Simplify im into im
4.736 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.737 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.737 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.737 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.737 * [taylor]: Taking taylor expansion of re in re
4.737 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify 1 into 1
4.737 * [backup-simplify]: Simplify (* 1 1) into 1
4.737 * [backup-simplify]: Simplify (/ 1 1) into 1
4.737 * [backup-simplify]: Simplify (+ 0 1) into 1
4.738 * [backup-simplify]: Simplify (sqrt 1) into 1
4.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 0) into 0
4.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.739 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.739 * [taylor]: Taking taylor expansion of im in re
4.739 * [backup-simplify]: Simplify im into im
4.739 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.739 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.740 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.740 * [taylor]: Taking taylor expansion of re in re
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 1 into 1
4.740 * [backup-simplify]: Simplify (* 1 1) into 1
4.740 * [backup-simplify]: Simplify (/ 1 1) into 1
4.740 * [backup-simplify]: Simplify (+ 0 1) into 1
4.741 * [backup-simplify]: Simplify (sqrt 1) into 1
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.742 * [backup-simplify]: Simplify (+ 0 0) into 0
4.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.743 * [taylor]: Taking taylor expansion of 1 in im
4.743 * [backup-simplify]: Simplify 1 into 1
4.743 * [taylor]: Taking taylor expansion of 0 in im
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 1 into 1
4.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.745 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.746 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.746 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.746 * [taylor]: Taking taylor expansion of 1/2 in im
4.746 * [backup-simplify]: Simplify 1/2 into 1/2
4.746 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.746 * [taylor]: Taking taylor expansion of im in im
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (* 1 1) into 1
4.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (+ 0 0) into 0
4.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.752 * [taylor]: Taking taylor expansion of 0 in im
4.752 * [backup-simplify]: Simplify 0 into 0
4.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.755 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
4.755 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.755 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.755 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.755 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.755 * [taylor]: Taking taylor expansion of re in im
4.755 * [backup-simplify]: Simplify re into re
4.755 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.755 * [taylor]: Taking taylor expansion of im in im
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.755 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.755 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.756 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.756 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.756 * [backup-simplify]: Simplify (+ 0 0) into 0
4.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.756 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.756 * [taylor]: Taking taylor expansion of re in re
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.757 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.757 * [taylor]: Taking taylor expansion of im in re
4.757 * [backup-simplify]: Simplify im into im
4.757 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.757 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.757 * [backup-simplify]: Simplify (+ 0 0) into 0
4.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.758 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.758 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.758 * [taylor]: Taking taylor expansion of re in re
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify 1 into 1
4.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.758 * [taylor]: Taking taylor expansion of im in re
4.758 * [backup-simplify]: Simplify im into im
4.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.758 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.758 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.759 * [backup-simplify]: Simplify (+ 0 0) into 0
4.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.759 * [taylor]: Taking taylor expansion of im in im
4.759 * [backup-simplify]: Simplify 0 into 0
4.759 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify 0 into 0
4.760 * [taylor]: Taking taylor expansion of 0 in im
4.760 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify (* 1 1) into 1
4.761 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.761 * [backup-simplify]: Simplify (+ 1 0) into 1
4.762 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.762 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.762 * [taylor]: Taking taylor expansion of 1/2 in im
4.762 * [backup-simplify]: Simplify 1/2 into 1/2
4.762 * [taylor]: Taking taylor expansion of im in im
4.762 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify 1 into 1
4.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.765 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.765 * [backup-simplify]: Simplify (+ 0 0) into 0
4.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.765 * [taylor]: Taking taylor expansion of 0 in im
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.767 * [taylor]: Taking taylor expansion of im in im
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (* 1 1) into 1
4.768 * [backup-simplify]: Simplify (/ 1 1) into 1
4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.768 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.768 * [taylor]: Taking taylor expansion of re in im
4.768 * [backup-simplify]: Simplify re into re
4.768 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.769 * [backup-simplify]: Simplify (+ 1 0) into 1
4.769 * [backup-simplify]: Simplify (sqrt 1) into 1
4.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.771 * [backup-simplify]: Simplify (+ 0 0) into 0
4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.772 * [taylor]: Taking taylor expansion of im in re
4.772 * [backup-simplify]: Simplify im into im
4.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.772 * [taylor]: Taking taylor expansion of re in re
4.772 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.773 * [backup-simplify]: Simplify (* 1 1) into 1
4.773 * [backup-simplify]: Simplify (/ 1 1) into 1
4.774 * [backup-simplify]: Simplify (+ 0 1) into 1
4.774 * [backup-simplify]: Simplify (sqrt 1) into 1
4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ 0 0) into 0
4.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.777 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.777 * [taylor]: Taking taylor expansion of im in re
4.777 * [backup-simplify]: Simplify im into im
4.777 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.777 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.777 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.777 * [taylor]: Taking taylor expansion of re in re
4.777 * [backup-simplify]: Simplify 0 into 0
4.777 * [backup-simplify]: Simplify 1 into 1
4.778 * [backup-simplify]: Simplify (* 1 1) into 1
4.778 * [backup-simplify]: Simplify (/ 1 1) into 1
4.778 * [backup-simplify]: Simplify (+ 0 1) into 1
4.779 * [backup-simplify]: Simplify (sqrt 1) into 1
4.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.781 * [taylor]: Taking taylor expansion of 1 in im
4.781 * [backup-simplify]: Simplify 1 into 1
4.781 * [taylor]: Taking taylor expansion of 0 in im
4.781 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify 1 into 1
4.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.785 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.785 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.785 * [taylor]: Taking taylor expansion of 1/2 in im
4.785 * [backup-simplify]: Simplify 1/2 into 1/2
4.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.785 * [taylor]: Taking taylor expansion of im in im
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [backup-simplify]: Simplify (* 1 1) into 1
4.786 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify 0 into 0
4.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.791 * [taylor]: Taking taylor expansion of 0 in im
4.791 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.794 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.794 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.794 * [taylor]: Taking taylor expansion of im in im
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 1 into 1
4.794 * [backup-simplify]: Simplify (* 1 1) into 1
4.795 * [backup-simplify]: Simplify (/ 1 1) into 1
4.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.795 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.795 * [taylor]: Taking taylor expansion of re in im
4.795 * [backup-simplify]: Simplify re into re
4.795 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.795 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.796 * [backup-simplify]: Simplify (+ 1 0) into 1
4.796 * [backup-simplify]: Simplify (sqrt 1) into 1
4.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.798 * [backup-simplify]: Simplify (+ 0 0) into 0
4.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.799 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.799 * [taylor]: Taking taylor expansion of im in re
4.799 * [backup-simplify]: Simplify im into im
4.799 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.799 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.799 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.799 * [taylor]: Taking taylor expansion of re in re
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.799 * [backup-simplify]: Simplify (* 1 1) into 1
4.800 * [backup-simplify]: Simplify (/ 1 1) into 1
4.800 * [backup-simplify]: Simplify (+ 0 1) into 1
4.801 * [backup-simplify]: Simplify (sqrt 1) into 1
4.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.802 * [backup-simplify]: Simplify (+ 0 0) into 0
4.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.803 * [taylor]: Taking taylor expansion of im in re
4.803 * [backup-simplify]: Simplify im into im
4.803 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.804 * [taylor]: Taking taylor expansion of re in re
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.804 * [backup-simplify]: Simplify (* 1 1) into 1
4.804 * [backup-simplify]: Simplify (/ 1 1) into 1
4.805 * [backup-simplify]: Simplify (+ 0 1) into 1
4.805 * [backup-simplify]: Simplify (sqrt 1) into 1
4.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.807 * [backup-simplify]: Simplify (+ 0 0) into 0
4.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.808 * [taylor]: Taking taylor expansion of 1 in im
4.808 * [backup-simplify]: Simplify 1 into 1
4.808 * [taylor]: Taking taylor expansion of 0 in im
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 1 into 1
4.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.812 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.812 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.812 * [taylor]: Taking taylor expansion of 1/2 in im
4.812 * [backup-simplify]: Simplify 1/2 into 1/2
4.812 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.812 * [taylor]: Taking taylor expansion of im in im
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 1 into 1
4.812 * [backup-simplify]: Simplify (* 1 1) into 1
4.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ 0 0) into 0
4.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.818 * [taylor]: Taking taylor expansion of 0 in im
4.818 * [backup-simplify]: Simplify 0 into 0
4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.821 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.821 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
4.822 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
4.822 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
4.822 * [taylor]: Taking taylor expansion of re in im
4.822 * [backup-simplify]: Simplify re into re
4.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.822 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.822 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.822 * [taylor]: Taking taylor expansion of re in im
4.822 * [backup-simplify]: Simplify re into re
4.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.822 * [taylor]: Taking taylor expansion of im in im
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 1 into 1
4.822 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.822 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.822 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.823 * [backup-simplify]: Simplify (+ 0 0) into 0
4.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.823 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.823 * [taylor]: Taking taylor expansion of re in re
4.823 * [backup-simplify]: Simplify 0 into 0
4.823 * [backup-simplify]: Simplify 1 into 1
4.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.823 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.823 * [taylor]: Taking taylor expansion of re in re
4.823 * [backup-simplify]: Simplify 0 into 0
4.823 * [backup-simplify]: Simplify 1 into 1
4.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.823 * [taylor]: Taking taylor expansion of im in re
4.823 * [backup-simplify]: Simplify im into im
4.824 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.824 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.824 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.824 * [backup-simplify]: Simplify (+ 0 0) into 0
4.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.825 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
4.825 * [taylor]: Taking taylor expansion of re in re
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 1 into 1
4.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.825 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.825 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.825 * [taylor]: Taking taylor expansion of re in re
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify 1 into 1
4.825 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.825 * [taylor]: Taking taylor expansion of im in re
4.825 * [backup-simplify]: Simplify im into im
4.825 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.825 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.825 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.825 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.826 * [backup-simplify]: Simplify (+ 0 0) into 0
4.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.826 * [backup-simplify]: Simplify (+ 0 im) into im
4.826 * [taylor]: Taking taylor expansion of im in im
4.826 * [backup-simplify]: Simplify 0 into 0
4.826 * [backup-simplify]: Simplify 1 into 1
4.826 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify (+ 1 0) into 1
4.827 * [taylor]: Taking taylor expansion of 1 in im
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify (* 1 1) into 1
4.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.828 * [backup-simplify]: Simplify (+ 1 0) into 1
4.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.829 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
4.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.829 * [taylor]: Taking taylor expansion of 1/2 in im
4.829 * [backup-simplify]: Simplify 1/2 into 1/2
4.829 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.829 * [taylor]: Taking taylor expansion of im in im
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.830 * [backup-simplify]: Simplify (/ 1 1) into 1
4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.833 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.833 * [backup-simplify]: Simplify (+ 0 0) into 0
4.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.833 * [backup-simplify]: Simplify (+ 0 0) into 0
4.834 * [taylor]: Taking taylor expansion of 0 in im
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.837 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
4.837 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
4.837 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
4.837 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.837 * [taylor]: Taking taylor expansion of re in im
4.837 * [backup-simplify]: Simplify re into re
4.837 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.837 * [taylor]: Taking taylor expansion of im in im
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (* 1 1) into 1
4.838 * [backup-simplify]: Simplify (/ 1 1) into 1
4.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.838 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.838 * [taylor]: Taking taylor expansion of re in im
4.838 * [backup-simplify]: Simplify re into re
4.838 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.838 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.839 * [backup-simplify]: Simplify (+ 1 0) into 1
4.839 * [backup-simplify]: Simplify (sqrt 1) into 1
4.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.841 * [backup-simplify]: Simplify (+ 0 0) into 0
4.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.842 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.842 * [taylor]: Taking taylor expansion of re in re
4.842 * [backup-simplify]: Simplify 0 into 0
4.842 * [backup-simplify]: Simplify 1 into 1
4.842 * [backup-simplify]: Simplify (/ 1 1) into 1
4.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.842 * [taylor]: Taking taylor expansion of im in re
4.842 * [backup-simplify]: Simplify im into im
4.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.843 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.843 * [taylor]: Taking taylor expansion of re in re
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.843 * [backup-simplify]: Simplify (* 1 1) into 1
4.843 * [backup-simplify]: Simplify (/ 1 1) into 1
4.844 * [backup-simplify]: Simplify (+ 0 1) into 1
4.844 * [backup-simplify]: Simplify (sqrt 1) into 1
4.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.846 * [backup-simplify]: Simplify (+ 0 0) into 0
4.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.847 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
4.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.847 * [taylor]: Taking taylor expansion of re in re
4.847 * [backup-simplify]: Simplify 0 into 0
4.847 * [backup-simplify]: Simplify 1 into 1
4.847 * [backup-simplify]: Simplify (/ 1 1) into 1
4.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.847 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.847 * [taylor]: Taking taylor expansion of im in re
4.847 * [backup-simplify]: Simplify im into im
4.847 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.848 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.848 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.848 * [taylor]: Taking taylor expansion of re in re
4.848 * [backup-simplify]: Simplify 0 into 0
4.848 * [backup-simplify]: Simplify 1 into 1
4.848 * [backup-simplify]: Simplify (* 1 1) into 1
4.848 * [backup-simplify]: Simplify (/ 1 1) into 1
4.849 * [backup-simplify]: Simplify (+ 0 1) into 1
4.849 * [backup-simplify]: Simplify (sqrt 1) into 1
4.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.851 * [backup-simplify]: Simplify (+ 0 0) into 0
4.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.857 * [backup-simplify]: Simplify (+ 1 1) into 2
4.857 * [taylor]: Taking taylor expansion of 2 in im
4.857 * [backup-simplify]: Simplify 2 into 2
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (+ 0 0) into 0
4.858 * [taylor]: Taking taylor expansion of 0 in im
4.858 * [backup-simplify]: Simplify 0 into 0
4.858 * [backup-simplify]: Simplify 2 into 2
4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.861 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.862 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
4.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.863 * [taylor]: Taking taylor expansion of 1/2 in im
4.863 * [backup-simplify]: Simplify 1/2 into 1/2
4.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.863 * [taylor]: Taking taylor expansion of im in im
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify 1 into 1
4.863 * [backup-simplify]: Simplify (* 1 1) into 1
4.864 * [backup-simplify]: Simplify (/ 1 1) into 1
4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.867 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.869 * [backup-simplify]: Simplify (+ 0 0) into 0
4.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.870 * [backup-simplify]: Simplify (+ 0 0) into 0
4.870 * [taylor]: Taking taylor expansion of 0 in im
4.870 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
4.875 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
4.875 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
4.875 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
4.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.875 * [taylor]: Taking taylor expansion of im in im
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.875 * [backup-simplify]: Simplify (* 1 1) into 1
4.876 * [backup-simplify]: Simplify (/ 1 1) into 1
4.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.876 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.876 * [taylor]: Taking taylor expansion of re in im
4.876 * [backup-simplify]: Simplify re into re
4.876 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.876 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.877 * [backup-simplify]: Simplify (+ 1 0) into 1
4.877 * [backup-simplify]: Simplify (sqrt 1) into 1
4.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.878 * [backup-simplify]: Simplify (+ 0 0) into 0
4.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.879 * [taylor]: Taking taylor expansion of re in im
4.879 * [backup-simplify]: Simplify re into re
4.879 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.879 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.879 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.879 * [taylor]: Taking taylor expansion of im in re
4.880 * [backup-simplify]: Simplify im into im
4.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.880 * [taylor]: Taking taylor expansion of re in re
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify (* 1 1) into 1
4.881 * [backup-simplify]: Simplify (/ 1 1) into 1
4.881 * [backup-simplify]: Simplify (+ 0 1) into 1
4.881 * [backup-simplify]: Simplify (sqrt 1) into 1
4.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.883 * [backup-simplify]: Simplify (+ 0 0) into 0
4.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.884 * [taylor]: Taking taylor expansion of re in re
4.884 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify 1 into 1
4.884 * [backup-simplify]: Simplify (/ 1 1) into 1
4.884 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
4.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.884 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.884 * [taylor]: Taking taylor expansion of im in re
4.884 * [backup-simplify]: Simplify im into im
4.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.884 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.885 * [taylor]: Taking taylor expansion of re in re
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 1 into 1
4.885 * [backup-simplify]: Simplify (* 1 1) into 1
4.885 * [backup-simplify]: Simplify (/ 1 1) into 1
4.886 * [backup-simplify]: Simplify (+ 0 1) into 1
4.886 * [backup-simplify]: Simplify (sqrt 1) into 1
4.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.887 * [backup-simplify]: Simplify (+ 0 0) into 0
4.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.888 * [taylor]: Taking taylor expansion of re in re
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (/ 1 1) into 1
4.889 * [backup-simplify]: Simplify (- 1) into -1
4.889 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.889 * [taylor]: Taking taylor expansion of 0 in im
4.889 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.890 * [backup-simplify]: Simplify (- 0) into 0
4.891 * [backup-simplify]: Simplify (+ 0 0) into 0
4.891 * [taylor]: Taking taylor expansion of 0 in im
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (- 0) into 0
4.895 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
4.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
4.895 * [taylor]: Taking taylor expansion of 1/2 in im
4.895 * [backup-simplify]: Simplify 1/2 into 1/2
4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.895 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.895 * [taylor]: Taking taylor expansion of im in im
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 1 into 1
4.896 * [backup-simplify]: Simplify (* 1 1) into 1
4.896 * [backup-simplify]: Simplify (/ 1 1) into 1
4.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.901 * [backup-simplify]: Simplify (+ 0 0) into 0
4.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.903 * [backup-simplify]: Simplify (- 0) into 0
4.903 * [backup-simplify]: Simplify (+ 0 0) into 0
4.903 * [taylor]: Taking taylor expansion of 0 in im
4.903 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * * * [progress]: simplifying candidates
4.907 * [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))))
  (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
4.908 * * [simplify]: Extracting # 0 : cost  0
4.908 * * [simplify]: Extracting # 1 : cost  0
4.908 * * [simplify]: Extracting # 2 : cost  0
4.908 * * [simplify]: Extracting # 3 : cost  0
4.908 * * [simplify]: Extracting # 4 : cost  0
4.908 * * [simplify]: Extracting # 5 : cost  0
4.909 * * [simplify]: Extracting # 6 : cost  0
4.909 * * [simplify]: iteration  0 :  62  enodes  (cost  1223 )
4.921 * * [simplify]: Extracting # 0 : cost  0
4.921 * * [simplify]: Extracting # 1 : cost  0
4.922 * * [simplify]: Extracting # 2 : cost  0
4.922 * * [simplify]: Extracting # 3 : cost  0
4.922 * * [simplify]: Extracting # 4 : cost  0
4.922 * * [simplify]: iteration  1 :  162  enodes  (cost  1127 )
4.999 * * [simplify]: Extracting # 0 : cost  0
5.000 * * [simplify]: Extracting # 1 : cost  0
5.001 * * [simplify]: Extracting # 2 : cost  0
5.002 * * [simplify]: Extracting # 3 : cost  0
5.002 * * [simplify]: Extracting # 4 : cost  0
5.003 * * [simplify]: iteration  2 :  420  enodes  (cost  661 )
5.260 * * [simplify]: Extracting # 0 : cost  0
5.261 * * [simplify]: Extracting # 1 : cost  0
5.263 * * [simplify]: Extracting # 2 : cost  0
5.264 * * [simplify]: Extracting # 3 : cost  0
5.265 * * [simplify]: Extracting # 4 : cost  0
5.267 * * [simplify]: iteration  3 :  1213  enodes  (cost  622 )
6.848 * * [simplify]: Extracting # 0 : cost  0
6.858 * * [simplify]: Extracting # 1 : cost  0
6.866 * * [simplify]: Extracting # 2 : cost  0
6.876 * * [simplify]: Extracting # 3 : cost  0
6.880 * * [simplify]: Extracting # 4 : cost  0
6.884 * * [simplify]: Extracting # 5 : cost  0
6.888 * * [simplify]: iteration  4 :  4418  enodes  (cost  614 )
9.155 * * [simplify]: Extracting # 0 : cost  0
9.161 * * [simplify]: Extracting # 1 : cost  0
9.168 * * [simplify]: Extracting # 2 : cost  0
9.178 * * [simplify]: iteration done:  5000  enodes  (cost  612 )
9.179 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (pow im 2)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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 (+ (* re re) (pow im 2)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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 (+ (* re re) (pow im 2)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* im im) (* re re))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (pow (+ re (sqrt (+ (* re re) (* im im)))) 3)
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))
  (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))
  (pow im 2)
  (- (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
9.179 * * * [progress]: adding candidates to table
9.539 * * [progress]: iteration 3 / 4
9.539 * * * [progress]: picking best candidate
9.563 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))>
9.563 * * * [progress]: localizing error
9.591 * * * [progress]: generating rewritten candidates
9.591 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1)
9.610 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
9.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
9.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
9.782 * * * [progress]: generating series expansions
9.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1)
9.783 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
9.783 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
9.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.783 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.783 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.783 * [taylor]: Taking taylor expansion of re in im
9.783 * [backup-simplify]: Simplify re into re
9.783 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.783 * [taylor]: Taking taylor expansion of im in im
9.783 * [backup-simplify]: Simplify 0 into 0
9.783 * [backup-simplify]: Simplify 1 into 1
9.783 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.783 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.783 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.783 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.784 * [backup-simplify]: Simplify (+ 0 0) into 0
9.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.784 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.784 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.784 * [taylor]: Taking taylor expansion of re in re
9.784 * [backup-simplify]: Simplify 0 into 0
9.784 * [backup-simplify]: Simplify 1 into 1
9.784 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.784 * [taylor]: Taking taylor expansion of im in re
9.784 * [backup-simplify]: Simplify im into im
9.784 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.784 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.784 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.784 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.785 * [backup-simplify]: Simplify (+ 0 0) into 0
9.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.785 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.785 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.785 * [taylor]: Taking taylor expansion of re in re
9.785 * [backup-simplify]: Simplify 0 into 0
9.785 * [backup-simplify]: Simplify 1 into 1
9.785 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.785 * [taylor]: Taking taylor expansion of im in re
9.785 * [backup-simplify]: Simplify im into im
9.785 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.785 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.785 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.786 * [backup-simplify]: Simplify (+ 0 0) into 0
9.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.786 * [taylor]: Taking taylor expansion of im in im
9.786 * [backup-simplify]: Simplify 0 into 0
9.786 * [backup-simplify]: Simplify 1 into 1
9.786 * [backup-simplify]: Simplify 0 into 0
9.786 * [taylor]: Taking taylor expansion of 0 in im
9.786 * [backup-simplify]: Simplify 0 into 0
9.786 * [backup-simplify]: Simplify 0 into 0
9.786 * [backup-simplify]: Simplify 1 into 1
9.786 * [backup-simplify]: Simplify (* 1 1) into 1
9.786 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.787 * [backup-simplify]: Simplify (+ 1 0) into 1
9.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.787 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.787 * [taylor]: Taking taylor expansion of 1/2 in im
9.787 * [backup-simplify]: Simplify 1/2 into 1/2
9.787 * [taylor]: Taking taylor expansion of im in im
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 1 into 1
9.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.788 * [backup-simplify]: Simplify 0 into 0
9.788 * [backup-simplify]: Simplify 0 into 0
9.788 * [backup-simplify]: Simplify 0 into 0
9.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.789 * [backup-simplify]: Simplify (+ 0 0) into 0
9.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.789 * [taylor]: Taking taylor expansion of 0 in im
9.789 * [backup-simplify]: Simplify 0 into 0
9.789 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.790 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.790 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.790 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.790 * [taylor]: Taking taylor expansion of im in im
9.790 * [backup-simplify]: Simplify 0 into 0
9.790 * [backup-simplify]: Simplify 1 into 1
9.791 * [backup-simplify]: Simplify (* 1 1) into 1
9.791 * [backup-simplify]: Simplify (/ 1 1) into 1
9.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.791 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.791 * [taylor]: Taking taylor expansion of re in im
9.791 * [backup-simplify]: Simplify re into re
9.791 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.791 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.791 * [backup-simplify]: Simplify (+ 1 0) into 1
9.792 * [backup-simplify]: Simplify (sqrt 1) into 1
9.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.793 * [backup-simplify]: Simplify (+ 0 0) into 0
9.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.793 * [taylor]: Taking taylor expansion of im in re
9.793 * [backup-simplify]: Simplify im into im
9.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.794 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.794 * [taylor]: Taking taylor expansion of re in re
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify 1 into 1
9.794 * [backup-simplify]: Simplify (* 1 1) into 1
9.794 * [backup-simplify]: Simplify (/ 1 1) into 1
9.794 * [backup-simplify]: Simplify (+ 0 1) into 1
9.795 * [backup-simplify]: Simplify (sqrt 1) into 1
9.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.796 * [backup-simplify]: Simplify (+ 0 0) into 0
9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.796 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.796 * [taylor]: Taking taylor expansion of im in re
9.796 * [backup-simplify]: Simplify im into im
9.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.796 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.796 * [taylor]: Taking taylor expansion of re in re
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 1 into 1
9.797 * [backup-simplify]: Simplify (* 1 1) into 1
9.797 * [backup-simplify]: Simplify (/ 1 1) into 1
9.797 * [backup-simplify]: Simplify (+ 0 1) into 1
9.797 * [backup-simplify]: Simplify (sqrt 1) into 1
9.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.798 * [backup-simplify]: Simplify (+ 0 0) into 0
9.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.799 * [taylor]: Taking taylor expansion of 1 in im
9.799 * [backup-simplify]: Simplify 1 into 1
9.799 * [taylor]: Taking taylor expansion of 0 in im
9.799 * [backup-simplify]: Simplify 0 into 0
9.799 * [backup-simplify]: Simplify 1 into 1
9.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.800 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.801 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.801 * [taylor]: Taking taylor expansion of 1/2 in im
9.801 * [backup-simplify]: Simplify 1/2 into 1/2
9.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.801 * [taylor]: Taking taylor expansion of im in im
9.801 * [backup-simplify]: Simplify 0 into 0
9.801 * [backup-simplify]: Simplify 1 into 1
9.802 * [backup-simplify]: Simplify (* 1 1) into 1
9.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.803 * [backup-simplify]: Simplify 0 into 0
9.803 * [backup-simplify]: Simplify 0 into 0
9.803 * [backup-simplify]: Simplify 0 into 0
9.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.804 * [backup-simplify]: Simplify (+ 0 0) into 0
9.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.805 * [taylor]: Taking taylor expansion of 0 in im
9.805 * [backup-simplify]: Simplify 0 into 0
9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.806 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
9.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
9.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.806 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.806 * [taylor]: Taking taylor expansion of im in im
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 1 into 1
9.807 * [backup-simplify]: Simplify (* 1 1) into 1
9.807 * [backup-simplify]: Simplify (/ 1 1) into 1
9.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.807 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.807 * [taylor]: Taking taylor expansion of re in im
9.807 * [backup-simplify]: Simplify re into re
9.807 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.807 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.807 * [backup-simplify]: Simplify (+ 1 0) into 1
9.807 * [backup-simplify]: Simplify (sqrt 1) into 1
9.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.809 * [backup-simplify]: Simplify (+ 0 0) into 0
9.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.809 * [taylor]: Taking taylor expansion of im in re
9.809 * [backup-simplify]: Simplify im into im
9.809 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.809 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.809 * [taylor]: Taking taylor expansion of re in re
9.809 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify 1 into 1
9.810 * [backup-simplify]: Simplify (* 1 1) into 1
9.810 * [backup-simplify]: Simplify (/ 1 1) into 1
9.810 * [backup-simplify]: Simplify (+ 0 1) into 1
9.810 * [backup-simplify]: Simplify (sqrt 1) into 1
9.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.811 * [backup-simplify]: Simplify (+ 0 0) into 0
9.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.812 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.812 * [taylor]: Taking taylor expansion of im in re
9.812 * [backup-simplify]: Simplify im into im
9.812 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.812 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.812 * [taylor]: Taking taylor expansion of re in re
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 1 into 1
9.812 * [backup-simplify]: Simplify (* 1 1) into 1
9.813 * [backup-simplify]: Simplify (/ 1 1) into 1
9.813 * [backup-simplify]: Simplify (+ 0 1) into 1
9.813 * [backup-simplify]: Simplify (sqrt 1) into 1
9.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.814 * [backup-simplify]: Simplify (+ 0 0) into 0
9.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.815 * [taylor]: Taking taylor expansion of 1 in im
9.815 * [backup-simplify]: Simplify 1 into 1
9.815 * [taylor]: Taking taylor expansion of 0 in im
9.815 * [backup-simplify]: Simplify 0 into 0
9.815 * [backup-simplify]: Simplify 1 into 1
9.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.816 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.817 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.817 * [taylor]: Taking taylor expansion of 1/2 in im
9.817 * [backup-simplify]: Simplify 1/2 into 1/2
9.817 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.817 * [taylor]: Taking taylor expansion of im in im
9.817 * [backup-simplify]: Simplify 0 into 0
9.817 * [backup-simplify]: Simplify 1 into 1
9.817 * [backup-simplify]: Simplify (* 1 1) into 1
9.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.820 * [backup-simplify]: Simplify (+ 0 0) into 0
9.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.820 * [taylor]: Taking taylor expansion of 0 in im
9.820 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.821 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
9.822 * [backup-simplify]: Simplify (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re))
9.822 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0
9.822 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
9.822 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.822 * [taylor]: Taking taylor expansion of im in re
9.822 * [backup-simplify]: Simplify im into im
9.822 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
9.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.822 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.822 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.822 * [taylor]: Taking taylor expansion of re in re
9.822 * [backup-simplify]: Simplify 0 into 0
9.822 * [backup-simplify]: Simplify 1 into 1
9.822 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.822 * [taylor]: Taking taylor expansion of im in re
9.822 * [backup-simplify]: Simplify im into im
9.822 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.823 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.823 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.823 * [backup-simplify]: Simplify (+ 0 0) into 0
9.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.823 * [taylor]: Taking taylor expansion of re in re
9.823 * [backup-simplify]: Simplify 0 into 0
9.823 * [backup-simplify]: Simplify 1 into 1
9.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.824 * [backup-simplify]: Simplify (- 0) into 0
9.824 * [backup-simplify]: Simplify (+ im 0) into im
9.824 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
9.824 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
9.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.824 * [taylor]: Taking taylor expansion of im in im
9.824 * [backup-simplify]: Simplify 0 into 0
9.824 * [backup-simplify]: Simplify 1 into 1
9.824 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
9.824 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.824 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.824 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.824 * [taylor]: Taking taylor expansion of re in im
9.824 * [backup-simplify]: Simplify re into re
9.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.824 * [taylor]: Taking taylor expansion of im in im
9.824 * [backup-simplify]: Simplify 0 into 0
9.824 * [backup-simplify]: Simplify 1 into 1
9.825 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.825 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.825 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.825 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.825 * [backup-simplify]: Simplify (+ 0 0) into 0
9.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.825 * [taylor]: Taking taylor expansion of re in im
9.825 * [backup-simplify]: Simplify re into re
9.826 * [backup-simplify]: Simplify (* 1 1) into 1
9.826 * [backup-simplify]: Simplify (- re) into (- re)
9.826 * [backup-simplify]: Simplify (+ re (- re)) into 0
9.826 * [backup-simplify]: Simplify (- 0) into 0
9.827 * [backup-simplify]: Simplify (+ 0 0) into 0
9.827 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.827 * [backup-simplify]: Simplify (* 1 1) into 1
9.828 * [backup-simplify]: Simplify (+ 0 1) into 1
9.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
9.829 * [backup-simplify]: Simplify (- 0) into 0
9.829 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
9.829 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
9.829 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
9.829 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.829 * [taylor]: Taking taylor expansion of im in im
9.829 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify 1 into 1
9.829 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
9.829 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.829 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.829 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.829 * [taylor]: Taking taylor expansion of re in im
9.830 * [backup-simplify]: Simplify re into re
9.830 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.830 * [taylor]: Taking taylor expansion of im in im
9.830 * [backup-simplify]: Simplify 0 into 0
9.830 * [backup-simplify]: Simplify 1 into 1
9.830 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.830 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.830 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.830 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.830 * [backup-simplify]: Simplify (+ 0 0) into 0
9.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.831 * [taylor]: Taking taylor expansion of re in im
9.831 * [backup-simplify]: Simplify re into re
9.831 * [backup-simplify]: Simplify (* 1 1) into 1
9.831 * [backup-simplify]: Simplify (- re) into (- re)
9.831 * [backup-simplify]: Simplify (+ re (- re)) into 0
9.831 * [backup-simplify]: Simplify (- 0) into 0
9.832 * [backup-simplify]: Simplify (+ 0 0) into 0
9.832 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.833 * [backup-simplify]: Simplify (* 1 1) into 1
9.833 * [backup-simplify]: Simplify (+ 0 1) into 1
9.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
9.834 * [backup-simplify]: Simplify (- 0) into 0
9.834 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
9.834 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
9.834 * [taylor]: Taking taylor expansion of (* 2 re) in re
9.834 * [taylor]: Taking taylor expansion of 2 in re
9.834 * [backup-simplify]: Simplify 2 into 2
9.834 * [taylor]: Taking taylor expansion of re in re
9.835 * [backup-simplify]: Simplify 0 into 0
9.835 * [backup-simplify]: Simplify 1 into 1
9.835 * [backup-simplify]: Simplify (* 2 0) into 0
9.835 * [backup-simplify]: Simplify 0 into 0
9.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.836 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
9.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.837 * [backup-simplify]: Simplify (+ 0 0) into 0
9.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
9.838 * [backup-simplify]: Simplify (- 0) into 0
9.838 * [backup-simplify]: Simplify (+ 0 0) into 0
9.838 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
9.838 * [taylor]: Taking taylor expansion of 0 in re
9.839 * [backup-simplify]: Simplify 0 into 0
9.839 * [backup-simplify]: Simplify 0 into 0
9.839 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
9.839 * [backup-simplify]: Simplify 2 into 2
9.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.841 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
9.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.843 * [backup-simplify]: Simplify (+ 0 0) into 0
9.844 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
9.844 * [backup-simplify]: Simplify (- 0) into 0
9.844 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
9.845 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
9.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
9.845 * [taylor]: Taking taylor expansion of 1/2 in re
9.845 * [backup-simplify]: Simplify 1/2 into 1/2
9.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.845 * [taylor]: Taking taylor expansion of re in re
9.845 * [backup-simplify]: Simplify 0 into 0
9.845 * [backup-simplify]: Simplify 1 into 1
9.845 * [backup-simplify]: Simplify (/ 1 1) into 1
9.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 0 into 0
9.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
9.848 * [backup-simplify]: Simplify 0 into 0
9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.850 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
9.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.851 * [backup-simplify]: Simplify (+ 0 0) into 0
9.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
9.852 * [backup-simplify]: Simplify (- 0) into 0
9.852 * [backup-simplify]: Simplify (+ 0 0) into 0
9.853 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 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
9.853 * [taylor]: Taking taylor expansion of 0 in re
9.853 * [backup-simplify]: Simplify 0 into 0
9.853 * [backup-simplify]: Simplify 0 into 0
9.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.855 * [backup-simplify]: Simplify 0 into 0
9.855 * [backup-simplify]: Simplify 0 into 0
9.855 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
9.856 * [backup-simplify]: Simplify (/ (pow (/ 1 im) 2) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)))
9.856 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0
9.856 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re
9.856 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re
9.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
9.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.856 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.856 * [taylor]: Taking taylor expansion of im in re
9.856 * [backup-simplify]: Simplify im into im
9.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.857 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.857 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.857 * [taylor]: Taking taylor expansion of re in re
9.857 * [backup-simplify]: Simplify 0 into 0
9.857 * [backup-simplify]: Simplify 1 into 1
9.857 * [backup-simplify]: Simplify (* 1 1) into 1
9.858 * [backup-simplify]: Simplify (/ 1 1) into 1
9.858 * [backup-simplify]: Simplify (+ 0 1) into 1
9.859 * [backup-simplify]: Simplify (sqrt 1) into 1
9.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.861 * [backup-simplify]: Simplify (+ 0 0) into 0
9.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.861 * [taylor]: Taking taylor expansion of re in re
9.861 * [backup-simplify]: Simplify 0 into 0
9.861 * [backup-simplify]: Simplify 1 into 1
9.862 * [backup-simplify]: Simplify (/ 1 1) into 1
9.862 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.862 * [taylor]: Taking taylor expansion of im in re
9.862 * [backup-simplify]: Simplify im into im
9.862 * [backup-simplify]: Simplify (- 1) into -1
9.863 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.863 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.863 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0
9.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.864 * [backup-simplify]: Simplify (- 0) into 0
9.864 * [backup-simplify]: Simplify (+ 0 0) into 0
9.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0
9.865 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.866 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
9.867 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.868 * [backup-simplify]: Simplify (- 0) into 0
9.868 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2
9.869 * [backup-simplify]: Simplify (/ 1 1/2) into 2
9.869 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
9.869 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
9.869 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
9.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.869 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.869 * [taylor]: Taking taylor expansion of im in im
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [backup-simplify]: Simplify (* 1 1) into 1
9.870 * [backup-simplify]: Simplify (/ 1 1) into 1
9.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.870 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.870 * [taylor]: Taking taylor expansion of re in im
9.870 * [backup-simplify]: Simplify re into re
9.870 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.870 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.870 * [backup-simplify]: Simplify (+ 1 0) into 1
9.870 * [backup-simplify]: Simplify (sqrt 1) into 1
9.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.871 * [backup-simplify]: Simplify (+ 0 0) into 0
9.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.872 * [taylor]: Taking taylor expansion of re in im
9.872 * [backup-simplify]: Simplify re into re
9.872 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.872 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.872 * [taylor]: Taking taylor expansion of im in im
9.872 * [backup-simplify]: Simplify 0 into 0
9.872 * [backup-simplify]: Simplify 1 into 1
9.872 * [backup-simplify]: Simplify (+ 1 0) into 1
9.872 * [backup-simplify]: Simplify (* 1 1) into 1
9.873 * [backup-simplify]: Simplify (* 1 1) into 1
9.873 * [backup-simplify]: Simplify (/ 1 1) into 1
9.873 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
9.873 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
9.873 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
9.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.873 * [taylor]: Taking taylor expansion of im in im
9.873 * [backup-simplify]: Simplify 0 into 0
9.873 * [backup-simplify]: Simplify 1 into 1
9.873 * [backup-simplify]: Simplify (* 1 1) into 1
9.874 * [backup-simplify]: Simplify (/ 1 1) into 1
9.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.874 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.874 * [taylor]: Taking taylor expansion of re in im
9.874 * [backup-simplify]: Simplify re into re
9.874 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.874 * [backup-simplify]: Simplify (+ 1 0) into 1
9.874 * [backup-simplify]: Simplify (sqrt 1) into 1
9.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.875 * [backup-simplify]: Simplify (+ 0 0) into 0
9.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.876 * [taylor]: Taking taylor expansion of re in im
9.876 * [backup-simplify]: Simplify re into re
9.876 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.876 * [taylor]: Taking taylor expansion of im in im
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify 1 into 1
9.876 * [backup-simplify]: Simplify (+ 1 0) into 1
9.876 * [backup-simplify]: Simplify (* 1 1) into 1
9.877 * [backup-simplify]: Simplify (* 1 1) into 1
9.877 * [backup-simplify]: Simplify (/ 1 1) into 1
9.877 * [taylor]: Taking taylor expansion of 1 in re
9.877 * [backup-simplify]: Simplify 1 into 1
9.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.877 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
9.877 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
9.878 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re))
9.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
9.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.878 * [taylor]: Taking taylor expansion of re in re
9.878 * [backup-simplify]: Simplify 0 into 0
9.878 * [backup-simplify]: Simplify 1 into 1
9.878 * [backup-simplify]: Simplify (/ 1 1) into 1
9.878 * [backup-simplify]: Simplify 1 into 1
9.878 * [backup-simplify]: Simplify 1 into 1
9.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
9.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.881 * [backup-simplify]: Simplify (- 0) into 0
9.881 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
9.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
9.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
9.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
9.882 * [taylor]: Taking taylor expansion of 1/2 in re
9.882 * [backup-simplify]: Simplify 1/2 into 1/2
9.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.882 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.882 * [taylor]: Taking taylor expansion of re in re
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 1 into 1
9.882 * [backup-simplify]: Simplify (* 1 1) into 1
9.882 * [backup-simplify]: Simplify (/ 1 1) into 1
9.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.888 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.892 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
9.893 * [backup-simplify]: Simplify (+ 0 0) into 0
9.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
9.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
9.894 * [backup-simplify]: Simplify (- 0) into 0
9.894 * [backup-simplify]: Simplify (+ 0 0) into 0
9.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0
9.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
9.897 * [taylor]: Taking taylor expansion of 0 in re
9.897 * [backup-simplify]: Simplify 0 into 0
9.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.899 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.900 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
9.901 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) 2) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)))
9.901 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0
9.901 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re
9.901 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re
9.901 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.902 * [taylor]: Taking taylor expansion of re in re
9.902 * [backup-simplify]: Simplify 0 into 0
9.902 * [backup-simplify]: Simplify 1 into 1
9.902 * [backup-simplify]: Simplify (/ 1 1) into 1
9.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.902 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.902 * [taylor]: Taking taylor expansion of im in re
9.902 * [backup-simplify]: Simplify im into im
9.902 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.903 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.903 * [taylor]: Taking taylor expansion of re in re
9.903 * [backup-simplify]: Simplify 0 into 0
9.903 * [backup-simplify]: Simplify 1 into 1
9.903 * [backup-simplify]: Simplify (* 1 1) into 1
9.903 * [backup-simplify]: Simplify (/ 1 1) into 1
9.904 * [backup-simplify]: Simplify (+ 0 1) into 1
9.904 * [backup-simplify]: Simplify (sqrt 1) into 1
9.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.906 * [backup-simplify]: Simplify (+ 0 0) into 0
9.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.907 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.907 * [taylor]: Taking taylor expansion of im in re
9.907 * [backup-simplify]: Simplify im into im
9.907 * [backup-simplify]: Simplify (+ 1 1) into 2
9.907 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.908 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
9.908 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
9.908 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
9.908 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
9.908 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.908 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.908 * [taylor]: Taking taylor expansion of re in im
9.908 * [backup-simplify]: Simplify re into re
9.908 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.908 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.908 * [taylor]: Taking taylor expansion of im in im
9.908 * [backup-simplify]: Simplify 0 into 0
9.908 * [backup-simplify]: Simplify 1 into 1
9.909 * [backup-simplify]: Simplify (* 1 1) into 1
9.910 * [backup-simplify]: Simplify (/ 1 1) into 1
9.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.910 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.910 * [taylor]: Taking taylor expansion of re in im
9.910 * [backup-simplify]: Simplify re into re
9.910 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.910 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.910 * [backup-simplify]: Simplify (+ 1 0) into 1
9.911 * [backup-simplify]: Simplify (sqrt 1) into 1
9.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.913 * [backup-simplify]: Simplify (+ 0 0) into 0
9.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.914 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.914 * [taylor]: Taking taylor expansion of im in im
9.914 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify 1 into 1
9.914 * [backup-simplify]: Simplify (+ 0 1) into 1
9.914 * [backup-simplify]: Simplify (* 1 1) into 1
9.914 * [backup-simplify]: Simplify (* 1 1) into 1
9.915 * [backup-simplify]: Simplify (/ 1 1) into 1
9.915 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
9.915 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
9.915 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.915 * [taylor]: Taking taylor expansion of re in im
9.915 * [backup-simplify]: Simplify re into re
9.915 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.915 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.915 * [taylor]: Taking taylor expansion of im in im
9.915 * [backup-simplify]: Simplify 0 into 0
9.915 * [backup-simplify]: Simplify 1 into 1
9.915 * [backup-simplify]: Simplify (* 1 1) into 1
9.915 * [backup-simplify]: Simplify (/ 1 1) into 1
9.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.915 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.915 * [taylor]: Taking taylor expansion of re in im
9.915 * [backup-simplify]: Simplify re into re
9.916 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.916 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.916 * [backup-simplify]: Simplify (+ 1 0) into 1
9.916 * [backup-simplify]: Simplify (sqrt 1) into 1
9.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.917 * [backup-simplify]: Simplify (+ 0 0) into 0
9.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.918 * [taylor]: Taking taylor expansion of im in im
9.918 * [backup-simplify]: Simplify 0 into 0
9.918 * [backup-simplify]: Simplify 1 into 1
9.918 * [backup-simplify]: Simplify (+ 0 1) into 1
9.918 * [backup-simplify]: Simplify (* 1 1) into 1
9.918 * [backup-simplify]: Simplify (* 1 1) into 1
9.919 * [backup-simplify]: Simplify (/ 1 1) into 1
9.919 * [taylor]: Taking taylor expansion of 1 in re
9.919 * [backup-simplify]: Simplify 1 into 1
9.919 * [backup-simplify]: Simplify 0 into 0
9.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.919 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
9.919 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
9.920 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
9.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.920 * [taylor]: Taking taylor expansion of re in re
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [backup-simplify]: Simplify 1 into 1
9.920 * [backup-simplify]: Simplify (/ 1 1) into 1
9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.921 * [backup-simplify]: Simplify (- 0) into 0
9.921 * [backup-simplify]: Simplify 0 into 0
9.921 * [backup-simplify]: Simplify 0 into 0
9.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
9.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.924 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
9.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
9.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
9.925 * [taylor]: Taking taylor expansion of 1/2 in re
9.925 * [backup-simplify]: Simplify 1/2 into 1/2
9.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.925 * [taylor]: Taking taylor expansion of re in re
9.925 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify 1 into 1
9.925 * [backup-simplify]: Simplify (* 1 1) into 1
9.925 * [backup-simplify]: Simplify (/ 1 1) into 1
9.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.929 * [backup-simplify]: Simplify (- 0) into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
9.930 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
9.930 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
9.930 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
9.930 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
9.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.930 * [taylor]: Taking taylor expansion of 2.0 in re
9.930 * [backup-simplify]: Simplify 2.0 into 2.0
9.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.931 * [taylor]: Taking taylor expansion of im in re
9.931 * [backup-simplify]: Simplify im into im
9.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
9.931 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
9.931 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
9.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
9.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
9.931 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.931 * [taylor]: Taking taylor expansion of re in re
9.931 * [backup-simplify]: Simplify 0 into 0
9.931 * [backup-simplify]: Simplify 1 into 1
9.931 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.931 * [taylor]: Taking taylor expansion of im in re
9.931 * [backup-simplify]: Simplify im into im
9.931 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.931 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.932 * [backup-simplify]: Simplify (+ 0 0) into 0
9.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.932 * [taylor]: Taking taylor expansion of re in re
9.932 * [backup-simplify]: Simplify 0 into 0
9.932 * [backup-simplify]: Simplify 1 into 1
9.932 * [backup-simplify]: Simplify (- 0) into 0
9.932 * [backup-simplify]: Simplify (+ im 0) into im
9.932 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.932 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
9.932 * [backup-simplify]: Simplify (- 1) into -1
9.933 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
9.933 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
9.933 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
9.933 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
9.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.933 * [taylor]: Taking taylor expansion of 2.0 in im
9.933 * [backup-simplify]: Simplify 2.0 into 2.0
9.933 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.934 * [taylor]: Taking taylor expansion of im in im
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 1 into 1
9.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
9.934 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
9.934 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
9.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.934 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.934 * [taylor]: Taking taylor expansion of re in im
9.934 * [backup-simplify]: Simplify re into re
9.934 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.934 * [taylor]: Taking taylor expansion of im in im
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 1 into 1
9.934 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.934 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.934 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.934 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.934 * [backup-simplify]: Simplify (+ 0 0) into 0
9.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.935 * [taylor]: Taking taylor expansion of re in im
9.935 * [backup-simplify]: Simplify re into re
9.935 * [backup-simplify]: Simplify (- re) into (- re)
9.935 * [backup-simplify]: Simplify (+ re (- re)) into 0
9.935 * [backup-simplify]: Simplify (- 0) into 0
9.935 * [backup-simplify]: Simplify (+ 0 0) into 0
9.935 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.936 * [backup-simplify]: Simplify (* 1 1) into 1
9.936 * [backup-simplify]: Simplify (+ 0 1) into 1
9.936 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
9.937 * [backup-simplify]: Simplify (- 0) into 0
9.937 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
9.937 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
9.937 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
9.937 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
9.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.938 * [backup-simplify]: Simplify (+ 0 0) into 0
9.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
9.939 * [backup-simplify]: Simplify (- 0) into 0
9.939 * [backup-simplify]: Simplify (+ 0 0) into 0
9.939 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
9.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
9.939 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
9.939 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
9.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.939 * [taylor]: Taking taylor expansion of 2.0 in im
9.940 * [backup-simplify]: Simplify 2.0 into 2.0
9.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.941 * [taylor]: Taking taylor expansion of im in im
9.941 * [backup-simplify]: Simplify 0 into 0
9.941 * [backup-simplify]: Simplify 1 into 1
9.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
9.941 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
9.941 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
9.941 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
9.941 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
9.941 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.941 * [taylor]: Taking taylor expansion of re in im
9.941 * [backup-simplify]: Simplify re into re
9.941 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.941 * [taylor]: Taking taylor expansion of im in im
9.941 * [backup-simplify]: Simplify 0 into 0
9.941 * [backup-simplify]: Simplify 1 into 1
9.941 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.941 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.942 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.942 * [backup-simplify]: Simplify (+ 0 0) into 0
9.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.942 * [taylor]: Taking taylor expansion of re in im
9.942 * [backup-simplify]: Simplify re into re
9.942 * [backup-simplify]: Simplify (- re) into (- re)
9.943 * [backup-simplify]: Simplify (+ re (- re)) into 0
9.943 * [backup-simplify]: Simplify (- 0) into 0
9.943 * [backup-simplify]: Simplify (+ 0 0) into 0
9.944 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.944 * [backup-simplify]: Simplify (* 1 1) into 1
9.944 * [backup-simplify]: Simplify (+ 0 1) into 1
9.945 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
9.946 * [backup-simplify]: Simplify (- 0) into 0
9.946 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
9.946 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
9.946 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
9.947 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
9.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.948 * [backup-simplify]: Simplify (+ 0 0) into 0
9.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
9.948 * [backup-simplify]: Simplify (- 0) into 0
9.948 * [backup-simplify]: Simplify (+ 0 0) into 0
9.949 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
9.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
9.949 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.950 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
9.950 * [taylor]: Taking taylor expansion of 0 in re
9.950 * [backup-simplify]: Simplify 0 into 0
9.950 * [backup-simplify]: Simplify 0 into 0
9.952 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
9.953 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
9.953 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
9.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
9.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.953 * [taylor]: Taking taylor expansion of 2.0 in re
9.953 * [backup-simplify]: Simplify 2.0 into 2.0
9.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.954 * [taylor]: Taking taylor expansion of (sqrt 2) in re
9.954 * [taylor]: Taking taylor expansion of 2 in re
9.954 * [backup-simplify]: Simplify 2 into 2
9.955 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.955 * [taylor]: Taking taylor expansion of (sqrt re) in re
9.955 * [taylor]: Taking taylor expansion of re in re
9.955 * [backup-simplify]: Simplify 0 into 0
9.955 * [backup-simplify]: Simplify 1 into 1
9.956 * [backup-simplify]: Simplify (sqrt 0) into 0
9.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.958 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
9.959 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 0 into 0
9.960 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
9.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.961 * [backup-simplify]: Simplify (+ 0 0) into 0
9.962 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
9.963 * [backup-simplify]: Simplify (- 0) into 0
9.963 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
9.963 * [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))
9.965 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
9.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
9.968 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0
9.968 * [taylor]: Taking taylor expansion of 0 in re
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
9.971 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
9.972 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
9.972 * [backup-simplify]: Simplify 0 into 0
9.973 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.974 * [backup-simplify]: Simplify (+ 0 0) into 0
9.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
9.975 * [backup-simplify]: Simplify (- 0) into 0
9.975 * [backup-simplify]: Simplify (+ 0 0) into 0
9.975 * [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
9.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
9.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.978 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
9.979 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
9.979 * [taylor]: Taking taylor expansion of 1/4 in re
9.979 * [backup-simplify]: Simplify 1/4 into 1/4
9.979 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
9.979 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
9.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.980 * [taylor]: Taking taylor expansion of 2.0 in re
9.980 * [backup-simplify]: Simplify 2.0 into 2.0
9.980 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.980 * [taylor]: Taking taylor expansion of (sqrt 2) in re
9.980 * [taylor]: Taking taylor expansion of 2 in re
9.980 * [backup-simplify]: Simplify 2 into 2
9.981 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.982 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
9.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
9.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
9.982 * [taylor]: Taking taylor expansion of (pow re 3) in re
9.982 * [taylor]: Taking taylor expansion of re in re
9.982 * [backup-simplify]: Simplify 0 into 0
9.982 * [backup-simplify]: Simplify 1 into 1
9.982 * [backup-simplify]: Simplify (* 1 1) into 1
9.982 * [backup-simplify]: Simplify (* 1 1) into 1
9.983 * [backup-simplify]: Simplify (/ 1 1) into 1
9.983 * [backup-simplify]: Simplify (sqrt 0) into 0
9.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.987 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
9.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
9.989 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
9.992 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
9.994 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
9.995 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
10.009 * [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))))
10.012 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
10.012 * [backup-simplify]: Simplify 0 into 0
10.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
10.017 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.018 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
10.022 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
10.025 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
10.035 * [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)))))))))
10.036 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) 2) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
10.036 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
10.036 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
10.036 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
10.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.036 * [taylor]: Taking taylor expansion of 2.0 in re
10.036 * [backup-simplify]: Simplify 2.0 into 2.0
10.036 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.037 * [taylor]: Taking taylor expansion of im in re
10.037 * [backup-simplify]: Simplify im into im
10.038 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
10.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
10.038 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
10.038 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.038 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.038 * [taylor]: Taking taylor expansion of im in re
10.038 * [backup-simplify]: Simplify im into im
10.038 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.038 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.038 * [taylor]: Taking taylor expansion of re in re
10.038 * [backup-simplify]: Simplify 0 into 0
10.038 * [backup-simplify]: Simplify 1 into 1
10.039 * [backup-simplify]: Simplify (* 1 1) into 1
10.039 * [backup-simplify]: Simplify (/ 1 1) into 1
10.039 * [backup-simplify]: Simplify (+ 0 1) into 1
10.040 * [backup-simplify]: Simplify (sqrt 1) into 1
10.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.042 * [backup-simplify]: Simplify (+ 0 0) into 0
10.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.042 * [taylor]: Taking taylor expansion of re in re
10.043 * [backup-simplify]: Simplify 0 into 0
10.043 * [backup-simplify]: Simplify 1 into 1
10.043 * [backup-simplify]: Simplify (/ 1 1) into 1
10.043 * [backup-simplify]: Simplify (- 1) into -1
10.044 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.045 * [backup-simplify]: Simplify (- 0) into 0
10.045 * [backup-simplify]: Simplify (+ 0 0) into 0
10.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.047 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.050 * [backup-simplify]: Simplify (- 0) into 0
10.050 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.050 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
10.051 * [backup-simplify]: Simplify (sqrt 0) into 0
10.051 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
10.052 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
10.052 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.052 * [taylor]: Taking taylor expansion of 2.0 in im
10.052 * [backup-simplify]: Simplify 2.0 into 2.0
10.052 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.053 * [taylor]: Taking taylor expansion of im in im
10.053 * [backup-simplify]: Simplify 0 into 0
10.053 * [backup-simplify]: Simplify 1 into 1
10.054 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
10.054 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
10.054 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
10.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.054 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.054 * [taylor]: Taking taylor expansion of im in im
10.054 * [backup-simplify]: Simplify 0 into 0
10.054 * [backup-simplify]: Simplify 1 into 1
10.055 * [backup-simplify]: Simplify (* 1 1) into 1
10.055 * [backup-simplify]: Simplify (/ 1 1) into 1
10.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.055 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.055 * [taylor]: Taking taylor expansion of re in im
10.055 * [backup-simplify]: Simplify re into re
10.055 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.055 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.056 * [backup-simplify]: Simplify (+ 1 0) into 1
10.056 * [backup-simplify]: Simplify (sqrt 1) into 1
10.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.058 * [backup-simplify]: Simplify (+ 0 0) into 0
10.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.059 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.059 * [taylor]: Taking taylor expansion of re in im
10.059 * [backup-simplify]: Simplify re into re
10.059 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.059 * [backup-simplify]: Simplify (+ 1 0) into 1
10.060 * [backup-simplify]: Simplify (/ 1 1) into 1
10.060 * [backup-simplify]: Simplify (sqrt 0) into 0
10.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.062 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
10.062 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.062 * [taylor]: Taking taylor expansion of 2.0 in im
10.062 * [backup-simplify]: Simplify 2.0 into 2.0
10.062 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.063 * [taylor]: Taking taylor expansion of im in im
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 1 into 1
10.064 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
10.064 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
10.064 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
10.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.064 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.064 * [taylor]: Taking taylor expansion of im in im
10.064 * [backup-simplify]: Simplify 0 into 0
10.064 * [backup-simplify]: Simplify 1 into 1
10.065 * [backup-simplify]: Simplify (* 1 1) into 1
10.065 * [backup-simplify]: Simplify (/ 1 1) into 1
10.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.065 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.065 * [taylor]: Taking taylor expansion of re in im
10.065 * [backup-simplify]: Simplify re into re
10.065 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.066 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.066 * [backup-simplify]: Simplify (+ 1 0) into 1
10.067 * [backup-simplify]: Simplify (sqrt 1) into 1
10.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.068 * [backup-simplify]: Simplify (+ 0 0) into 0
10.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.069 * [taylor]: Taking taylor expansion of re in im
10.069 * [backup-simplify]: Simplify re into re
10.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.070 * [backup-simplify]: Simplify (+ 1 0) into 1
10.070 * [backup-simplify]: Simplify (/ 1 1) into 1
10.071 * [backup-simplify]: Simplify (sqrt 0) into 0
10.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.073 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.073 * [taylor]: Taking taylor expansion of 0 in re
10.073 * [backup-simplify]: Simplify 0 into 0
10.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.076 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.076 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
10.076 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.076 * [taylor]: Taking taylor expansion of +nan.0 in re
10.076 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.076 * [taylor]: Taking taylor expansion of 2.0 in re
10.076 * [backup-simplify]: Simplify 2.0 into 2.0
10.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.077 * [backup-simplify]: Simplify 0 into 0
10.077 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
10.077 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
10.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
10.079 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
10.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.082 * [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)))))
10.082 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
10.082 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
10.082 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.082 * [taylor]: Taking taylor expansion of +nan.0 in re
10.082 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.082 * [taylor]: Taking taylor expansion of 2.0 in re
10.082 * [backup-simplify]: Simplify 2.0 into 2.0
10.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.084 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
10.084 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
10.084 * [taylor]: Taking taylor expansion of +nan.0 in re
10.084 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.084 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
10.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.084 * [taylor]: Taking taylor expansion of 2.0 in re
10.084 * [backup-simplify]: Simplify 2.0 into 2.0
10.084 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.085 * [taylor]: Taking taylor expansion of re in re
10.085 * [backup-simplify]: Simplify 0 into 0
10.085 * [backup-simplify]: Simplify 1 into 1
10.086 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.087 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.088 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.090 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.093 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.094 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.095 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.097 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.098 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.098 * [backup-simplify]: Simplify 0 into 0
10.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
10.101 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.102 * [backup-simplify]: Simplify (- 0) into 0
10.102 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
10.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
10.103 * [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))))
10.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.107 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
10.108 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
10.108 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
10.108 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.108 * [taylor]: Taking taylor expansion of +nan.0 in re
10.108 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.108 * [taylor]: Taking taylor expansion of 2.0 in re
10.108 * [backup-simplify]: Simplify 2.0 into 2.0
10.108 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.109 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
10.109 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
10.109 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
10.109 * [taylor]: Taking taylor expansion of +nan.0 in re
10.109 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.109 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
10.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.109 * [taylor]: Taking taylor expansion of 2.0 in re
10.109 * [backup-simplify]: Simplify 2.0 into 2.0
10.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.110 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.110 * [taylor]: Taking taylor expansion of re in re
10.110 * [backup-simplify]: Simplify 0 into 0
10.110 * [backup-simplify]: Simplify 1 into 1
10.111 * [backup-simplify]: Simplify (* 1 1) into 1
10.111 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.112 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
10.112 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
10.112 * [taylor]: Taking taylor expansion of +nan.0 in re
10.112 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.112 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
10.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.112 * [taylor]: Taking taylor expansion of 2.0 in re
10.112 * [backup-simplify]: Simplify 2.0 into 2.0
10.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.113 * [taylor]: Taking taylor expansion of re in re
10.113 * [backup-simplify]: Simplify 0 into 0
10.113 * [backup-simplify]: Simplify 1 into 1
10.114 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.116 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.117 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.118 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.121 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.123 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.125 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.127 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.128 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.134 * [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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
10.135 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) 2) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
10.135 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
10.135 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
10.135 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
10.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.135 * [taylor]: Taking taylor expansion of 2.0 in re
10.135 * [backup-simplify]: Simplify 2.0 into 2.0
10.135 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.136 * [taylor]: Taking taylor expansion of im in re
10.136 * [backup-simplify]: Simplify im into im
10.136 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
10.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
10.136 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
10.136 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.137 * [taylor]: Taking taylor expansion of re in re
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 1 into 1
10.137 * [backup-simplify]: Simplify (/ 1 1) into 1
10.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.137 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.137 * [taylor]: Taking taylor expansion of im in re
10.137 * [backup-simplify]: Simplify im into im
10.137 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.138 * [taylor]: Taking taylor expansion of re in re
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 1 into 1
10.138 * [backup-simplify]: Simplify (* 1 1) into 1
10.138 * [backup-simplify]: Simplify (/ 1 1) into 1
10.139 * [backup-simplify]: Simplify (+ 0 1) into 1
10.139 * [backup-simplify]: Simplify (sqrt 1) into 1
10.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.141 * [backup-simplify]: Simplify (+ 0 0) into 0
10.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.148 * [backup-simplify]: Simplify (+ 1 1) into 2
10.148 * [backup-simplify]: Simplify (/ 1 2) into 1/2
10.149 * [backup-simplify]: Simplify (sqrt 0) into 0
10.151 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
10.151 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
10.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.151 * [taylor]: Taking taylor expansion of 2.0 in im
10.151 * [backup-simplify]: Simplify 2.0 into 2.0
10.151 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.152 * [taylor]: Taking taylor expansion of im in im
10.152 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify 1 into 1
10.153 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
10.153 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
10.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
10.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.153 * [taylor]: Taking taylor expansion of re in im
10.153 * [backup-simplify]: Simplify re into re
10.154 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.154 * [taylor]: Taking taylor expansion of im in im
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 1 into 1
10.154 * [backup-simplify]: Simplify (* 1 1) into 1
10.154 * [backup-simplify]: Simplify (/ 1 1) into 1
10.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.155 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.155 * [taylor]: Taking taylor expansion of re in im
10.155 * [backup-simplify]: Simplify re into re
10.155 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.155 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.155 * [backup-simplify]: Simplify (+ 1 0) into 1
10.156 * [backup-simplify]: Simplify (sqrt 1) into 1
10.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.157 * [backup-simplify]: Simplify (+ 0 0) into 0
10.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.159 * [backup-simplify]: Simplify (+ 0 1) into 1
10.159 * [backup-simplify]: Simplify (/ 1 1) into 1
10.159 * [backup-simplify]: Simplify (sqrt 0) into 0
10.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.161 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
10.161 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
10.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.161 * [taylor]: Taking taylor expansion of 2.0 in im
10.161 * [backup-simplify]: Simplify 2.0 into 2.0
10.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.162 * [taylor]: Taking taylor expansion of im in im
10.162 * [backup-simplify]: Simplify 0 into 0
10.162 * [backup-simplify]: Simplify 1 into 1
10.163 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
10.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
10.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
10.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.163 * [taylor]: Taking taylor expansion of re in im
10.163 * [backup-simplify]: Simplify re into re
10.163 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.164 * [taylor]: Taking taylor expansion of im in im
10.164 * [backup-simplify]: Simplify 0 into 0
10.164 * [backup-simplify]: Simplify 1 into 1
10.164 * [backup-simplify]: Simplify (* 1 1) into 1
10.164 * [backup-simplify]: Simplify (/ 1 1) into 1
10.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.165 * [taylor]: Taking taylor expansion of re in im
10.165 * [backup-simplify]: Simplify re into re
10.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.165 * [backup-simplify]: Simplify (+ 1 0) into 1
10.166 * [backup-simplify]: Simplify (sqrt 1) into 1
10.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.168 * [backup-simplify]: Simplify (+ 0 0) into 0
10.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.169 * [backup-simplify]: Simplify (+ 0 1) into 1
10.169 * [backup-simplify]: Simplify (/ 1 1) into 1
10.169 * [backup-simplify]: Simplify (sqrt 0) into 0
10.170 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.171 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.171 * [taylor]: Taking taylor expansion of 0 in re
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.172 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
10.173 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.173 * [taylor]: Taking taylor expansion of +nan.0 in re
10.173 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.173 * [taylor]: Taking taylor expansion of 2.0 in re
10.173 * [backup-simplify]: Simplify 2.0 into 2.0
10.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.174 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.175 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.176 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.176 * [backup-simplify]: Simplify 0 into 0
10.176 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
10.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
10.177 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
10.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.179 * [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)))))
10.179 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
10.179 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
10.179 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.179 * [taylor]: Taking taylor expansion of +nan.0 in re
10.179 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.179 * [taylor]: Taking taylor expansion of 2.0 in re
10.179 * [backup-simplify]: Simplify 2.0 into 2.0
10.179 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
10.180 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
10.180 * [taylor]: Taking taylor expansion of +nan.0 in re
10.180 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.180 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
10.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.180 * [taylor]: Taking taylor expansion of 2.0 in re
10.180 * [backup-simplify]: Simplify 2.0 into 2.0
10.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.181 * [taylor]: Taking taylor expansion of re in re
10.181 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify 1 into 1
10.181 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.182 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.183 * [backup-simplify]: Simplify (- 0) into 0
10.184 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
10.185 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.186 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.187 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.187 * [backup-simplify]: Simplify (- 0) into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
10.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.188 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
10.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
10.189 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
10.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
10.190 * [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))))
10.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.193 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
10.193 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
10.193 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
10.193 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
10.193 * [taylor]: Taking taylor expansion of +nan.0 in re
10.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.193 * [taylor]: Taking taylor expansion of 2.0 in re
10.193 * [backup-simplify]: Simplify 2.0 into 2.0
10.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.194 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
10.194 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
10.194 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
10.194 * [taylor]: Taking taylor expansion of +nan.0 in re
10.194 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.194 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
10.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.194 * [taylor]: Taking taylor expansion of 2.0 in re
10.194 * [backup-simplify]: Simplify 2.0 into 2.0
10.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.195 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.195 * [taylor]: Taking taylor expansion of re in re
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 1 into 1
10.195 * [backup-simplify]: Simplify (* 1 1) into 1
10.196 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.196 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
10.196 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
10.196 * [taylor]: Taking taylor expansion of +nan.0 in re
10.196 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.196 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
10.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.196 * [taylor]: Taking taylor expansion of 2.0 in re
10.196 * [backup-simplify]: Simplify 2.0 into 2.0
10.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.197 * [taylor]: Taking taylor expansion of re in re
10.197 * [backup-simplify]: Simplify 0 into 0
10.197 * [backup-simplify]: Simplify 1 into 1
10.197 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.198 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.204 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
10.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.205 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.206 * [backup-simplify]: Simplify (- 0) into 0
10.206 * [backup-simplify]: Simplify (+ 0 0) into 0
10.206 * [backup-simplify]: Simplify (- 0) into 0
10.208 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
10.210 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.212 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.217 * [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) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
10.217 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
10.217 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
10.217 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
10.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
10.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
10.218 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
10.218 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.218 * [taylor]: Taking taylor expansion of re in im
10.218 * [backup-simplify]: Simplify re into re
10.218 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.218 * [taylor]: Taking taylor expansion of im in im
10.218 * [backup-simplify]: Simplify 0 into 0
10.218 * [backup-simplify]: Simplify 1 into 1
10.218 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.218 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.218 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.218 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.219 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.219 * [taylor]: Taking taylor expansion of re in im
10.219 * [backup-simplify]: Simplify re into re
10.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.219 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.219 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.219 * [taylor]: Taking taylor expansion of re in re
10.219 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify 1 into 1
10.219 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.219 * [taylor]: Taking taylor expansion of im in re
10.219 * [backup-simplify]: Simplify im into im
10.219 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.219 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.220 * [backup-simplify]: Simplify (+ 0 0) into 0
10.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.220 * [taylor]: Taking taylor expansion of re in re
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
10.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
10.220 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
10.220 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.221 * [taylor]: Taking taylor expansion of re in re
10.221 * [backup-simplify]: Simplify 0 into 0
10.221 * [backup-simplify]: Simplify 1 into 1
10.221 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.221 * [taylor]: Taking taylor expansion of im in re
10.221 * [backup-simplify]: Simplify im into im
10.221 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.221 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.221 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.221 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.222 * [backup-simplify]: Simplify (+ 0 0) into 0
10.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.222 * [taylor]: Taking taylor expansion of re in re
10.222 * [backup-simplify]: Simplify 0 into 0
10.222 * [backup-simplify]: Simplify 1 into 1
10.222 * [backup-simplify]: Simplify (- 0) into 0
10.223 * [backup-simplify]: Simplify (+ im 0) into im
10.223 * [taylor]: Taking taylor expansion of im in im
10.223 * [backup-simplify]: Simplify 0 into 0
10.223 * [backup-simplify]: Simplify 1 into 1
10.223 * [backup-simplify]: Simplify 0 into 0
10.223 * [backup-simplify]: Simplify (- 1) into -1
10.223 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.223 * [taylor]: Taking taylor expansion of -1 in im
10.224 * [backup-simplify]: Simplify -1 into -1
10.224 * [backup-simplify]: Simplify -1 into -1
10.224 * [backup-simplify]: Simplify 1 into 1
10.224 * [backup-simplify]: Simplify (* 1 1) into 1
10.225 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.225 * [backup-simplify]: Simplify (+ 1 0) into 1
10.226 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.226 * [backup-simplify]: Simplify (- 0) into 0
10.226 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
10.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.226 * [taylor]: Taking taylor expansion of 1/2 in im
10.227 * [backup-simplify]: Simplify 1/2 into 1/2
10.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.227 * [taylor]: Taking taylor expansion of im in im
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (/ 1 1) into 1
10.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.229 * [backup-simplify]: Simplify 0 into 0
10.229 * [backup-simplify]: Simplify 0 into 0
10.229 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.230 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.231 * [backup-simplify]: Simplify (+ 0 0) into 0
10.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.232 * [backup-simplify]: Simplify (- 0) into 0
10.232 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [taylor]: Taking taylor expansion of 0 in im
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
10.234 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
10.234 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
10.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
10.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.234 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.234 * [taylor]: Taking taylor expansion of im in im
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [backup-simplify]: Simplify (* 1 1) into 1
10.235 * [backup-simplify]: Simplify (/ 1 1) into 1
10.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.235 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.235 * [taylor]: Taking taylor expansion of re in im
10.235 * [backup-simplify]: Simplify re into re
10.235 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.235 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.235 * [backup-simplify]: Simplify (+ 1 0) into 1
10.235 * [backup-simplify]: Simplify (sqrt 1) into 1
10.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.236 * [backup-simplify]: Simplify (+ 0 0) into 0
10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.237 * [taylor]: Taking taylor expansion of re in im
10.237 * [backup-simplify]: Simplify re into re
10.237 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.237 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.237 * [taylor]: Taking taylor expansion of im in re
10.237 * [backup-simplify]: Simplify im into im
10.237 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.237 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.237 * [taylor]: Taking taylor expansion of re in re
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.238 * [backup-simplify]: Simplify (* 1 1) into 1
10.238 * [backup-simplify]: Simplify (/ 1 1) into 1
10.238 * [backup-simplify]: Simplify (+ 0 1) into 1
10.238 * [backup-simplify]: Simplify (sqrt 1) into 1
10.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.239 * [backup-simplify]: Simplify (+ 0 0) into 0
10.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.240 * [taylor]: Taking taylor expansion of re in re
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.240 * [backup-simplify]: Simplify (/ 1 1) into 1
10.240 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
10.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.240 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.240 * [taylor]: Taking taylor expansion of im in re
10.240 * [backup-simplify]: Simplify im into im
10.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.240 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.240 * [taylor]: Taking taylor expansion of re in re
10.241 * [backup-simplify]: Simplify 0 into 0
10.241 * [backup-simplify]: Simplify 1 into 1
10.241 * [backup-simplify]: Simplify (* 1 1) into 1
10.241 * [backup-simplify]: Simplify (/ 1 1) into 1
10.241 * [backup-simplify]: Simplify (+ 0 1) into 1
10.241 * [backup-simplify]: Simplify (sqrt 1) into 1
10.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.242 * [backup-simplify]: Simplify (+ 0 0) into 0
10.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.243 * [taylor]: Taking taylor expansion of re in re
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify 1 into 1
10.243 * [backup-simplify]: Simplify (/ 1 1) into 1
10.244 * [backup-simplify]: Simplify (- 1) into -1
10.244 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.244 * [taylor]: Taking taylor expansion of 0 in im
10.244 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.244 * [backup-simplify]: Simplify (- 0) into 0
10.245 * [backup-simplify]: Simplify (+ 0 0) into 0
10.245 * [taylor]: Taking taylor expansion of 0 in im
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.246 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.247 * [backup-simplify]: Simplify (- 0) into 0
10.248 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.248 * [taylor]: Taking taylor expansion of 1/2 in im
10.248 * [backup-simplify]: Simplify 1/2 into 1/2
10.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.248 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.248 * [taylor]: Taking taylor expansion of im in im
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 1 into 1
10.248 * [backup-simplify]: Simplify (* 1 1) into 1
10.248 * [backup-simplify]: Simplify (/ 1 1) into 1
10.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.251 * [backup-simplify]: Simplify (+ 0 0) into 0
10.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.252 * [backup-simplify]: Simplify (- 0) into 0
10.252 * [backup-simplify]: Simplify (+ 0 0) into 0
10.252 * [taylor]: Taking taylor expansion of 0 in im
10.252 * [backup-simplify]: Simplify 0 into 0
10.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
10.254 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
10.254 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
10.254 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.254 * [taylor]: Taking taylor expansion of re in im
10.254 * [backup-simplify]: Simplify re into re
10.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
10.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
10.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.255 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.255 * [taylor]: Taking taylor expansion of im in im
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 1 into 1
10.255 * [backup-simplify]: Simplify (* 1 1) into 1
10.255 * [backup-simplify]: Simplify (/ 1 1) into 1
10.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.255 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.255 * [taylor]: Taking taylor expansion of re in im
10.255 * [backup-simplify]: Simplify re into re
10.255 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.256 * [backup-simplify]: Simplify (+ 1 0) into 1
10.256 * [backup-simplify]: Simplify (sqrt 1) into 1
10.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.257 * [backup-simplify]: Simplify (+ 0 0) into 0
10.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.257 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.257 * [taylor]: Taking taylor expansion of re in re
10.257 * [backup-simplify]: Simplify 0 into 0
10.257 * [backup-simplify]: Simplify 1 into 1
10.258 * [backup-simplify]: Simplify (/ 1 1) into 1
10.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.258 * [taylor]: Taking taylor expansion of im in re
10.258 * [backup-simplify]: Simplify im into im
10.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.258 * [taylor]: Taking taylor expansion of re in re
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 1 into 1
10.258 * [backup-simplify]: Simplify (* 1 1) into 1
10.258 * [backup-simplify]: Simplify (/ 1 1) into 1
10.259 * [backup-simplify]: Simplify (+ 0 1) into 1
10.259 * [backup-simplify]: Simplify (sqrt 1) into 1
10.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.265 * [backup-simplify]: Simplify (+ 0 0) into 0
10.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.266 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
10.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.266 * [taylor]: Taking taylor expansion of re in re
10.266 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify 1 into 1
10.266 * [backup-simplify]: Simplify (/ 1 1) into 1
10.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
10.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
10.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.266 * [taylor]: Taking taylor expansion of im in re
10.266 * [backup-simplify]: Simplify im into im
10.266 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.267 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.267 * [taylor]: Taking taylor expansion of re in re
10.267 * [backup-simplify]: Simplify 0 into 0
10.267 * [backup-simplify]: Simplify 1 into 1
10.267 * [backup-simplify]: Simplify (* 1 1) into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.268 * [backup-simplify]: Simplify (+ 0 1) into 1
10.268 * [backup-simplify]: Simplify (sqrt 1) into 1
10.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.270 * [backup-simplify]: Simplify (+ 0 0) into 0
10.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.271 * [backup-simplify]: Simplify (+ 1 1) into 2
10.271 * [taylor]: Taking taylor expansion of 2 in im
10.271 * [backup-simplify]: Simplify 2 into 2
10.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.272 * [backup-simplify]: Simplify (+ 0 0) into 0
10.272 * [taylor]: Taking taylor expansion of 0 in im
10.272 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 2 into 2
10.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.275 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
10.277 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.277 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
10.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.277 * [taylor]: Taking taylor expansion of 1/2 in im
10.277 * [backup-simplify]: Simplify 1/2 into 1/2
10.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.277 * [taylor]: Taking taylor expansion of im in im
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 1 into 1
10.278 * [backup-simplify]: Simplify (* 1 1) into 1
10.278 * [backup-simplify]: Simplify (/ 1 1) into 1
10.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.281 * [backup-simplify]: Simplify (+ 0 0) into 0
10.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.282 * [backup-simplify]: Simplify (+ 0 0) into 0
10.282 * [taylor]: Taking taylor expansion of 0 in im
10.282 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
10.284 * * * [progress]: simplifying candidates
10.286 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (- (* (log im) 2) (log (- (sqrt (+ (* re re) (* im im))) re)))
  (- (* (log im) 2) (log (- (sqrt (+ (* re re) (* im im))) re)))
  (- (log (pow im 2)) (log (- (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (- (pow im 2))
  (- (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow (cbrt im) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (cbrt im) 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (* (cbrt im) (cbrt im)) 2) 1)
  (/ (pow (cbrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (cbrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (* (cbrt im) (cbrt im)) 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (cbrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (* (cbrt im) (cbrt im)) 2) 1)
  (/ (pow (cbrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (sqrt im) 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow (sqrt im) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (sqrt im) 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (sqrt im) 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (sqrt im) 2) 1)
  (/ (pow (sqrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (sqrt im) 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (sqrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (sqrt im) 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (sqrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (sqrt im) 2) 1)
  (/ (pow (sqrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow 1 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow 1 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow 1 2) 1)
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow 1 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow 1 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow 1 2) 1)
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im 1)
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im 1)
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (pow im 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)
  (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)
  (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (pow im 2)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (pow im 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (pow im 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (pow im 2)) 1)
  (/ (sqrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (sqrt (pow im 2)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (sqrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (sqrt (pow im 2)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (sqrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (sqrt (pow im 2)) 1)
  (/ (sqrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 1)
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ 1 1)
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow im (/ 2 2)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im (/ 2 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im (/ 2 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im (/ 2 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im (/ 2 2)) 1)
  (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow im (/ 2 2)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im (/ 2 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im (/ 2 2)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im (/ 2 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im (/ 2 2)) 1)
  (/ (pow im (/ 2 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (- (sqrt (+ (* re re) (* im im))) re))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (pow im 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im 2) 1)
  (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) 1)
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow (sqrt im) 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) im)
  (/ (- (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2)))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (pow im 2)))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2)))
  (/ (pow im 2) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (log (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt 2.0)
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (pow im 2)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  (* 2 re)
  (+ re im)
  0
  (- (+ (* +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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
  (- im re)
  0
  (* -2 re)
10.290 * * [simplify]: Extracting # 0 : cost  0
10.290 * * [simplify]: Extracting # 1 : cost  0
10.290 * * [simplify]: Extracting # 2 : cost  0
10.291 * * [simplify]: Extracting # 3 : cost  0
10.291 * * [simplify]: Extracting # 4 : cost  0
10.291 * * [simplify]: Extracting # 5 : cost  0
10.291 * * [simplify]: Extracting # 6 : cost  0
10.292 * * [simplify]: Extracting # 7 : cost  0
10.292 * * [simplify]: Extracting # 8 : cost  0
10.292 * * [simplify]: Extracting # 9 : cost  0
10.293 * * [simplify]: Extracting # 10 : cost  0
10.293 * * [simplify]: Extracting # 11 : cost  0
10.293 * * [simplify]: Extracting # 12 : cost  0
10.293 * * [simplify]: Extracting # 13 : cost  0
10.294 * * [simplify]: Extracting # 14 : cost  0
10.294 * * [simplify]: Extracting # 15 : cost  0
10.294 * * [simplify]: iteration  0 :  215  enodes  (cost  2796 )
10.361 * * [simplify]: Extracting # 0 : cost  0
10.362 * * [simplify]: Extracting # 1 : cost  0
10.366 * * [simplify]: Extracting # 2 : cost  0
10.367 * * [simplify]: Extracting # 3 : cost  0
10.367 * * [simplify]: Extracting # 4 : cost  0
10.368 * * [simplify]: iteration  1 :  439  enodes  (cost  2604 )
10.603 * * [simplify]: Extracting # 0 : cost  0
10.604 * * [simplify]: Extracting # 1 : cost  0
10.606 * * [simplify]: Extracting # 2 : cost  0
10.607 * * [simplify]: Extracting # 3 : cost  0
10.608 * * [simplify]: Extracting # 4 : cost  0
10.609 * * [simplify]: iteration  2 :  1171  enodes  (cost  2399 )
11.734 * * [simplify]: Extracting # 0 : cost  0
11.739 * * [simplify]: Extracting # 1 : cost  0
11.746 * * [simplify]: Extracting # 2 : cost  0
11.755 * * [simplify]: Extracting # 3 : cost  0
11.763 * * [simplify]: Extracting # 4 : cost  0
11.771 * * [simplify]: iteration  3 :  3985  enodes  (cost  2370 )
13.423 * * [simplify]: Extracting # 0 : cost  0
13.443 * * [simplify]: Extracting # 1 : cost  0
13.454 * * [simplify]: Extracting # 2 : cost  0
13.460 * * [simplify]: iteration done:  5000  enodes  (cost  2370 )
13.461 * [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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (- (pow im 4) (* (* re re) (* im im))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (pow (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 3)
  (* (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (pow (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 3)
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (- (pow im 2))
  (- (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (cbrt im) 4) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow (cbrt im) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (cbrt im) 4) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow (cbrt im) 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (pow (cbrt im) 4)
  (/ (pow (cbrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (pow (cbrt im) 4) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (cbrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (cbrt im) 4) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow (cbrt im) 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (pow (cbrt im) 4)
  (/ (pow (cbrt im) 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  1
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  1
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (pow im 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (pow im 2)) (cbrt (pow im 2)))
  (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (* (cbrt (pow im 2)) (cbrt (pow im 2)))
  (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (fabs im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (fabs im)
  (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))
  (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (fabs im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (fabs im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (fabs im)
  (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  1
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  1
  (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  im
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (- (sqrt (+ (* re re) (* im im))) re))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (pow im 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* im im)
  (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (* im im)
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) im)
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) im)
  (/ (- (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2)))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (fabs im))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2))
  (/ (- (sqrt (+ (* re re) (* im im))) re) im)
  (/ (pow im 2) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (/ (* im im) (+ (* im im) 0))
  (log (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (pow (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))) 3)
  (sqrt 2.0)
  (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (pow im 2)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (- (sqrt (+ (* re re) (* im im))) 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))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (- re)
  (* 2 re)
  (+ re im)
  0
  (* +nan.0 (+ (- (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re)))))
  (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im)))))
  (- (+ (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)) (* +nan.0 (sqrt 2.0))))
  (- im re)
  0
  (* -2 re)
13.462 * * * [progress]: adding candidates to table
13.935 * * [progress]: iteration 4 / 4
13.935 * * * [progress]: picking best candidate
13.961 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))>
13.961 * * * [progress]: localizing error
13.975 * * * [progress]: generating rewritten candidates
13.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1)
13.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
14.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2)
14.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
14.352 * * * [progress]: generating series expansions
14.352 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1)
14.352 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
14.352 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
14.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.352 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.352 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.352 * [taylor]: Taking taylor expansion of re in im
14.352 * [backup-simplify]: Simplify re into re
14.352 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.352 * [taylor]: Taking taylor expansion of im in im
14.352 * [backup-simplify]: Simplify 0 into 0
14.352 * [backup-simplify]: Simplify 1 into 1
14.352 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.354 * [backup-simplify]: Simplify (+ 0 0) into 0
14.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.354 * [taylor]: Taking taylor expansion of re in re
14.354 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify 1 into 1
14.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.354 * [taylor]: Taking taylor expansion of im in re
14.354 * [backup-simplify]: Simplify im into im
14.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.354 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.355 * [backup-simplify]: Simplify (+ 0 0) into 0
14.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.355 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.355 * [taylor]: Taking taylor expansion of re in re
14.355 * [backup-simplify]: Simplify 0 into 0
14.355 * [backup-simplify]: Simplify 1 into 1
14.355 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.355 * [taylor]: Taking taylor expansion of im in re
14.355 * [backup-simplify]: Simplify im into im
14.356 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.356 * [backup-simplify]: Simplify (+ 0 0) into 0
14.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.357 * [taylor]: Taking taylor expansion of im in im
14.357 * [backup-simplify]: Simplify 0 into 0
14.357 * [backup-simplify]: Simplify 1 into 1
14.357 * [backup-simplify]: Simplify 0 into 0
14.357 * [taylor]: Taking taylor expansion of 0 in im
14.357 * [backup-simplify]: Simplify 0 into 0
14.357 * [backup-simplify]: Simplify 0 into 0
14.357 * [backup-simplify]: Simplify 1 into 1
14.357 * [backup-simplify]: Simplify (* 1 1) into 1
14.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.358 * [backup-simplify]: Simplify (+ 1 0) into 1
14.359 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.359 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
14.359 * [taylor]: Taking taylor expansion of 1/2 in im
14.359 * [backup-simplify]: Simplify 1/2 into 1/2
14.359 * [taylor]: Taking taylor expansion of im in im
14.359 * [backup-simplify]: Simplify 0 into 0
14.359 * [backup-simplify]: Simplify 1 into 1
14.360 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.361 * [backup-simplify]: Simplify 0 into 0
14.361 * [backup-simplify]: Simplify 0 into 0
14.361 * [backup-simplify]: Simplify 0 into 0
14.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.362 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.362 * [backup-simplify]: Simplify (+ 0 0) into 0
14.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.363 * [taylor]: Taking taylor expansion of 0 in im
14.363 * [backup-simplify]: Simplify 0 into 0
14.363 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.364 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
14.364 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
14.364 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
14.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.364 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.364 * [taylor]: Taking taylor expansion of im in im
14.364 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify 1 into 1
14.365 * [backup-simplify]: Simplify (* 1 1) into 1
14.365 * [backup-simplify]: Simplify (/ 1 1) into 1
14.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.365 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.365 * [taylor]: Taking taylor expansion of re in im
14.365 * [backup-simplify]: Simplify re into re
14.365 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.365 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.366 * [backup-simplify]: Simplify (+ 1 0) into 1
14.366 * [backup-simplify]: Simplify (sqrt 1) into 1
14.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.368 * [backup-simplify]: Simplify (+ 0 0) into 0
14.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.369 * [taylor]: Taking taylor expansion of im in re
14.369 * [backup-simplify]: Simplify im into im
14.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.369 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.369 * [taylor]: Taking taylor expansion of re in re
14.369 * [backup-simplify]: Simplify 0 into 0
14.369 * [backup-simplify]: Simplify 1 into 1
14.370 * [backup-simplify]: Simplify (* 1 1) into 1
14.370 * [backup-simplify]: Simplify (/ 1 1) into 1
14.370 * [backup-simplify]: Simplify (+ 0 1) into 1
14.371 * [backup-simplify]: Simplify (sqrt 1) into 1
14.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.373 * [backup-simplify]: Simplify (+ 0 0) into 0
14.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.373 * [taylor]: Taking taylor expansion of im in re
14.373 * [backup-simplify]: Simplify im into im
14.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.374 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.374 * [taylor]: Taking taylor expansion of re in re
14.374 * [backup-simplify]: Simplify 0 into 0
14.374 * [backup-simplify]: Simplify 1 into 1
14.374 * [backup-simplify]: Simplify (* 1 1) into 1
14.375 * [backup-simplify]: Simplify (/ 1 1) into 1
14.375 * [backup-simplify]: Simplify (+ 0 1) into 1
14.375 * [backup-simplify]: Simplify (sqrt 1) into 1
14.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.377 * [backup-simplify]: Simplify (+ 0 0) into 0
14.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.378 * [taylor]: Taking taylor expansion of 1 in im
14.378 * [backup-simplify]: Simplify 1 into 1
14.378 * [taylor]: Taking taylor expansion of 0 in im
14.378 * [backup-simplify]: Simplify 0 into 0
14.378 * [backup-simplify]: Simplify 1 into 1
14.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.380 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
14.382 * [taylor]: Taking taylor expansion of 1/2 in im
14.382 * [backup-simplify]: Simplify 1/2 into 1/2
14.382 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.382 * [taylor]: Taking taylor expansion of im in im
14.382 * [backup-simplify]: Simplify 0 into 0
14.382 * [backup-simplify]: Simplify 1 into 1
14.382 * [backup-simplify]: Simplify (* 1 1) into 1
14.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.383 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
14.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.385 * [backup-simplify]: Simplify (+ 0 0) into 0
14.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.385 * [taylor]: Taking taylor expansion of 0 in im
14.385 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.386 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
14.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
14.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
14.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.387 * [taylor]: Taking taylor expansion of im in im
14.387 * [backup-simplify]: Simplify 0 into 0
14.387 * [backup-simplify]: Simplify 1 into 1
14.387 * [backup-simplify]: Simplify (* 1 1) into 1
14.387 * [backup-simplify]: Simplify (/ 1 1) into 1
14.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.387 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.387 * [taylor]: Taking taylor expansion of re in im
14.387 * [backup-simplify]: Simplify re into re
14.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.388 * [backup-simplify]: Simplify (+ 1 0) into 1
14.388 * [backup-simplify]: Simplify (sqrt 1) into 1
14.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.389 * [backup-simplify]: Simplify (+ 0 0) into 0
14.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.390 * [taylor]: Taking taylor expansion of im in re
14.390 * [backup-simplify]: Simplify im into im
14.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.390 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.390 * [taylor]: Taking taylor expansion of re in re
14.390 * [backup-simplify]: Simplify 0 into 0
14.390 * [backup-simplify]: Simplify 1 into 1
14.390 * [backup-simplify]: Simplify (* 1 1) into 1
14.390 * [backup-simplify]: Simplify (/ 1 1) into 1
14.390 * [backup-simplify]: Simplify (+ 0 1) into 1
14.391 * [backup-simplify]: Simplify (sqrt 1) into 1
14.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.392 * [backup-simplify]: Simplify (+ 0 0) into 0
14.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.392 * [taylor]: Taking taylor expansion of im in re
14.392 * [backup-simplify]: Simplify im into im
14.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.392 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.392 * [taylor]: Taking taylor expansion of re in re
14.392 * [backup-simplify]: Simplify 0 into 0
14.392 * [backup-simplify]: Simplify 1 into 1
14.393 * [backup-simplify]: Simplify (* 1 1) into 1
14.393 * [backup-simplify]: Simplify (/ 1 1) into 1
14.393 * [backup-simplify]: Simplify (+ 0 1) into 1
14.393 * [backup-simplify]: Simplify (sqrt 1) into 1
14.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.394 * [backup-simplify]: Simplify (+ 0 0) into 0
14.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.395 * [taylor]: Taking taylor expansion of 1 in im
14.395 * [backup-simplify]: Simplify 1 into 1
14.395 * [taylor]: Taking taylor expansion of 0 in im
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 1 into 1
14.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.396 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.397 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
14.397 * [taylor]: Taking taylor expansion of 1/2 in im
14.397 * [backup-simplify]: Simplify 1/2 into 1/2
14.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.397 * [taylor]: Taking taylor expansion of im in im
14.397 * [backup-simplify]: Simplify 0 into 0
14.397 * [backup-simplify]: Simplify 1 into 1
14.397 * [backup-simplify]: Simplify (* 1 1) into 1
14.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
14.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.400 * [backup-simplify]: Simplify (+ 0 0) into 0
14.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.400 * [taylor]: Taking taylor expansion of 0 in im
14.400 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
14.402 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
14.402 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
14.402 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
14.402 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
14.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
14.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.402 * [taylor]: Taking taylor expansion of 2.0 in re
14.402 * [backup-simplify]: Simplify 2.0 into 2.0
14.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.403 * [taylor]: Taking taylor expansion of im in re
14.403 * [backup-simplify]: Simplify im into im
14.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
14.403 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
14.403 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
14.403 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.403 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.403 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.403 * [taylor]: Taking taylor expansion of re in re
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 1 into 1
14.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.403 * [taylor]: Taking taylor expansion of im in re
14.403 * [backup-simplify]: Simplify im into im
14.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.403 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.403 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.404 * [backup-simplify]: Simplify (+ 0 0) into 0
14.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.404 * [taylor]: Taking taylor expansion of re in re
14.404 * [backup-simplify]: Simplify 0 into 0
14.404 * [backup-simplify]: Simplify 1 into 1
14.404 * [backup-simplify]: Simplify (- 0) into 0
14.404 * [backup-simplify]: Simplify (+ im 0) into im
14.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.404 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
14.404 * [backup-simplify]: Simplify (- 1) into -1
14.405 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
14.405 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
14.405 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
14.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
14.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.405 * [taylor]: Taking taylor expansion of 2.0 in im
14.405 * [backup-simplify]: Simplify 2.0 into 2.0
14.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.406 * [taylor]: Taking taylor expansion of im in im
14.406 * [backup-simplify]: Simplify 0 into 0
14.406 * [backup-simplify]: Simplify 1 into 1
14.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
14.406 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
14.406 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
14.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.406 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.406 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.406 * [taylor]: Taking taylor expansion of re in im
14.406 * [backup-simplify]: Simplify re into re
14.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.406 * [taylor]: Taking taylor expansion of im in im
14.406 * [backup-simplify]: Simplify 0 into 0
14.406 * [backup-simplify]: Simplify 1 into 1
14.406 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.406 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.406 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.406 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.406 * [backup-simplify]: Simplify (+ 0 0) into 0
14.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.407 * [taylor]: Taking taylor expansion of re in im
14.407 * [backup-simplify]: Simplify re into re
14.407 * [backup-simplify]: Simplify (- re) into (- re)
14.407 * [backup-simplify]: Simplify (+ re (- re)) into 0
14.407 * [backup-simplify]: Simplify (- 0) into 0
14.407 * [backup-simplify]: Simplify (+ 0 0) into 0
14.411 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.412 * [backup-simplify]: Simplify (* 1 1) into 1
14.412 * [backup-simplify]: Simplify (+ 0 1) into 1
14.413 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
14.413 * [backup-simplify]: Simplify (- 0) into 0
14.413 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
14.413 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
14.414 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
14.414 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
14.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.415 * [backup-simplify]: Simplify (+ 0 0) into 0
14.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
14.416 * [backup-simplify]: Simplify (- 0) into 0
14.416 * [backup-simplify]: Simplify (+ 0 0) into 0
14.416 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
14.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
14.417 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
14.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
14.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.417 * [taylor]: Taking taylor expansion of 2.0 in im
14.417 * [backup-simplify]: Simplify 2.0 into 2.0
14.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.418 * [taylor]: Taking taylor expansion of im in im
14.418 * [backup-simplify]: Simplify 0 into 0
14.418 * [backup-simplify]: Simplify 1 into 1
14.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
14.418 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
14.418 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
14.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.418 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.418 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.418 * [taylor]: Taking taylor expansion of re in im
14.418 * [backup-simplify]: Simplify re into re
14.418 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.418 * [taylor]: Taking taylor expansion of im in im
14.418 * [backup-simplify]: Simplify 0 into 0
14.418 * [backup-simplify]: Simplify 1 into 1
14.418 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.419 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.419 * [backup-simplify]: Simplify (+ 0 0) into 0
14.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.420 * [taylor]: Taking taylor expansion of re in im
14.420 * [backup-simplify]: Simplify re into re
14.420 * [backup-simplify]: Simplify (- re) into (- re)
14.420 * [backup-simplify]: Simplify (+ re (- re)) into 0
14.420 * [backup-simplify]: Simplify (- 0) into 0
14.420 * [backup-simplify]: Simplify (+ 0 0) into 0
14.421 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.421 * [backup-simplify]: Simplify (* 1 1) into 1
14.422 * [backup-simplify]: Simplify (+ 0 1) into 1
14.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
14.423 * [backup-simplify]: Simplify (- 0) into 0
14.423 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
14.423 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
14.423 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
14.424 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
14.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.425 * [backup-simplify]: Simplify (+ 0 0) into 0
14.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
14.425 * [backup-simplify]: Simplify (- 0) into 0
14.426 * [backup-simplify]: Simplify (+ 0 0) into 0
14.426 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
14.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
14.427 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
14.427 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
14.427 * [taylor]: Taking taylor expansion of 0 in re
14.427 * [backup-simplify]: Simplify 0 into 0
14.427 * [backup-simplify]: Simplify 0 into 0
14.429 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
14.430 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
14.430 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
14.431 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
14.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.431 * [taylor]: Taking taylor expansion of 2.0 in re
14.431 * [backup-simplify]: Simplify 2.0 into 2.0
14.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.432 * [taylor]: Taking taylor expansion of (sqrt 2) in re
14.432 * [taylor]: Taking taylor expansion of 2 in re
14.432 * [backup-simplify]: Simplify 2 into 2
14.432 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.433 * [taylor]: Taking taylor expansion of (sqrt re) in re
14.433 * [taylor]: Taking taylor expansion of re in re
14.433 * [backup-simplify]: Simplify 0 into 0
14.433 * [backup-simplify]: Simplify 1 into 1
14.433 * [backup-simplify]: Simplify (sqrt 0) into 0
14.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.437 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
14.438 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
14.438 * [backup-simplify]: Simplify 0 into 0
14.438 * [backup-simplify]: Simplify 0 into 0
14.439 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
14.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.441 * [backup-simplify]: Simplify (+ 0 0) into 0
14.442 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
14.442 * [backup-simplify]: Simplify (- 0) into 0
14.442 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
14.443 * [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))
14.444 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))
14.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
14.448 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0
14.448 * [taylor]: Taking taylor expansion of 0 in re
14.449 * [backup-simplify]: Simplify 0 into 0
14.449 * [backup-simplify]: Simplify 0 into 0
14.450 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
14.453 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
14.456 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
14.456 * [backup-simplify]: Simplify 0 into 0
14.458 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
14.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.459 * [backup-simplify]: Simplify (+ 0 0) into 0
14.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
14.460 * [backup-simplify]: Simplify (- 0) into 0
14.460 * [backup-simplify]: Simplify (+ 0 0) into 0
14.461 * [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
14.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
14.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
14.468 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
14.468 * [taylor]: Taking taylor expansion of 1/4 in re
14.468 * [backup-simplify]: Simplify 1/4 into 1/4
14.468 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
14.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
14.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.468 * [taylor]: Taking taylor expansion of 2.0 in re
14.468 * [backup-simplify]: Simplify 2.0 into 2.0
14.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.469 * [taylor]: Taking taylor expansion of (sqrt 2) in re
14.469 * [taylor]: Taking taylor expansion of 2 in re
14.469 * [backup-simplify]: Simplify 2 into 2
14.470 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.472 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
14.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
14.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
14.472 * [taylor]: Taking taylor expansion of (pow re 3) in re
14.472 * [taylor]: Taking taylor expansion of re in re
14.472 * [backup-simplify]: Simplify 0 into 0
14.472 * [backup-simplify]: Simplify 1 into 1
14.472 * [backup-simplify]: Simplify (* 1 1) into 1
14.473 * [backup-simplify]: Simplify (* 1 1) into 1
14.473 * [backup-simplify]: Simplify (/ 1 1) into 1
14.473 * [backup-simplify]: Simplify (sqrt 0) into 0
14.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.480 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.481 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
14.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
14.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
14.489 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
14.493 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
14.493 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
14.502 * [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))))
14.505 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
14.505 * [backup-simplify]: Simplify 0 into 0
14.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
14.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
14.516 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
14.519 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
14.529 * [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)))))))))
14.530 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ (/ 1 im) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
14.530 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
14.530 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
14.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
14.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.530 * [taylor]: Taking taylor expansion of 2.0 in re
14.530 * [backup-simplify]: Simplify 2.0 into 2.0
14.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.530 * [taylor]: Taking taylor expansion of im in re
14.530 * [backup-simplify]: Simplify im into im
14.531 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
14.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
14.531 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
14.531 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
14.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.531 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.531 * [taylor]: Taking taylor expansion of im in re
14.531 * [backup-simplify]: Simplify im into im
14.531 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.531 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.531 * [taylor]: Taking taylor expansion of re in re
14.531 * [backup-simplify]: Simplify 0 into 0
14.531 * [backup-simplify]: Simplify 1 into 1
14.531 * [backup-simplify]: Simplify (* 1 1) into 1
14.532 * [backup-simplify]: Simplify (/ 1 1) into 1
14.532 * [backup-simplify]: Simplify (+ 0 1) into 1
14.532 * [backup-simplify]: Simplify (sqrt 1) into 1
14.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.533 * [backup-simplify]: Simplify (+ 0 0) into 0
14.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.534 * [taylor]: Taking taylor expansion of re in re
14.534 * [backup-simplify]: Simplify 0 into 0
14.534 * [backup-simplify]: Simplify 1 into 1
14.534 * [backup-simplify]: Simplify (/ 1 1) into 1
14.534 * [backup-simplify]: Simplify (- 1) into -1
14.534 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.535 * [backup-simplify]: Simplify (- 0) into 0
14.535 * [backup-simplify]: Simplify (+ 0 0) into 0
14.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.536 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.538 * [backup-simplify]: Simplify (- 0) into 0
14.539 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.539 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
14.539 * [backup-simplify]: Simplify (sqrt 0) into 0
14.539 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
14.539 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
14.539 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
14.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.540 * [taylor]: Taking taylor expansion of 2.0 in im
14.540 * [backup-simplify]: Simplify 2.0 into 2.0
14.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.540 * [taylor]: Taking taylor expansion of im in im
14.540 * [backup-simplify]: Simplify 0 into 0
14.540 * [backup-simplify]: Simplify 1 into 1
14.541 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
14.541 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
14.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
14.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.541 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.541 * [taylor]: Taking taylor expansion of im in im
14.541 * [backup-simplify]: Simplify 0 into 0
14.541 * [backup-simplify]: Simplify 1 into 1
14.541 * [backup-simplify]: Simplify (* 1 1) into 1
14.542 * [backup-simplify]: Simplify (/ 1 1) into 1
14.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.542 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.542 * [taylor]: Taking taylor expansion of re in im
14.542 * [backup-simplify]: Simplify re into re
14.542 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.542 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.542 * [backup-simplify]: Simplify (+ 1 0) into 1
14.542 * [backup-simplify]: Simplify (sqrt 1) into 1
14.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.543 * [backup-simplify]: Simplify (+ 0 0) into 0
14.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.544 * [taylor]: Taking taylor expansion of re in im
14.544 * [backup-simplify]: Simplify re into re
14.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.548 * [backup-simplify]: Simplify (+ 1 0) into 1
14.548 * [backup-simplify]: Simplify (/ 1 1) into 1
14.549 * [backup-simplify]: Simplify (sqrt 0) into 0
14.550 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.550 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
14.550 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
14.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.550 * [taylor]: Taking taylor expansion of 2.0 in im
14.550 * [backup-simplify]: Simplify 2.0 into 2.0
14.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.551 * [taylor]: Taking taylor expansion of im in im
14.551 * [backup-simplify]: Simplify 0 into 0
14.551 * [backup-simplify]: Simplify 1 into 1
14.551 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
14.551 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
14.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
14.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.551 * [taylor]: Taking taylor expansion of im in im
14.551 * [backup-simplify]: Simplify 0 into 0
14.551 * [backup-simplify]: Simplify 1 into 1
14.552 * [backup-simplify]: Simplify (* 1 1) into 1
14.552 * [backup-simplify]: Simplify (/ 1 1) into 1
14.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.552 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.552 * [taylor]: Taking taylor expansion of re in im
14.552 * [backup-simplify]: Simplify re into re
14.552 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.552 * [backup-simplify]: Simplify (+ 1 0) into 1
14.553 * [backup-simplify]: Simplify (sqrt 1) into 1
14.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.554 * [backup-simplify]: Simplify (+ 0 0) into 0
14.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.554 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.554 * [taylor]: Taking taylor expansion of re in im
14.554 * [backup-simplify]: Simplify re into re
14.554 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.554 * [backup-simplify]: Simplify (+ 1 0) into 1
14.555 * [backup-simplify]: Simplify (/ 1 1) into 1
14.555 * [backup-simplify]: Simplify (sqrt 0) into 0
14.556 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.556 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
14.556 * [taylor]: Taking taylor expansion of 0 in re
14.556 * [backup-simplify]: Simplify 0 into 0
14.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.558 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
14.558 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
14.558 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.558 * [taylor]: Taking taylor expansion of +nan.0 in re
14.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.558 * [taylor]: Taking taylor expansion of 2.0 in re
14.558 * [backup-simplify]: Simplify 2.0 into 2.0
14.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.559 * [backup-simplify]: Simplify 0 into 0
14.560 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
14.560 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
14.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
14.561 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
14.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.565 * [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)))))
14.565 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
14.565 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
14.565 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.565 * [taylor]: Taking taylor expansion of +nan.0 in re
14.565 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.565 * [taylor]: Taking taylor expansion of 2.0 in re
14.565 * [backup-simplify]: Simplify 2.0 into 2.0
14.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
14.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
14.566 * [taylor]: Taking taylor expansion of +nan.0 in re
14.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
14.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.566 * [taylor]: Taking taylor expansion of 2.0 in re
14.566 * [backup-simplify]: Simplify 2.0 into 2.0
14.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.568 * [taylor]: Taking taylor expansion of re in re
14.568 * [backup-simplify]: Simplify 0 into 0
14.568 * [backup-simplify]: Simplify 1 into 1
14.569 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.569 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.571 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.573 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.576 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.577 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.578 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.580 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.581 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.581 * [backup-simplify]: Simplify 0 into 0
14.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.583 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
14.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
14.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.585 * [backup-simplify]: Simplify (- 0) into 0
14.586 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
14.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
14.587 * [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))))
14.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.591 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
14.591 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
14.591 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
14.592 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.592 * [taylor]: Taking taylor expansion of +nan.0 in re
14.592 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.592 * [taylor]: Taking taylor expansion of 2.0 in re
14.592 * [backup-simplify]: Simplify 2.0 into 2.0
14.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.593 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
14.593 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
14.593 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
14.593 * [taylor]: Taking taylor expansion of +nan.0 in re
14.593 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.593 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
14.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.593 * [taylor]: Taking taylor expansion of 2.0 in re
14.593 * [backup-simplify]: Simplify 2.0 into 2.0
14.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.594 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.594 * [taylor]: Taking taylor expansion of re in re
14.594 * [backup-simplify]: Simplify 0 into 0
14.594 * [backup-simplify]: Simplify 1 into 1
14.595 * [backup-simplify]: Simplify (* 1 1) into 1
14.596 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.596 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
14.596 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
14.596 * [taylor]: Taking taylor expansion of +nan.0 in re
14.596 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.596 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
14.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.596 * [taylor]: Taking taylor expansion of 2.0 in re
14.596 * [backup-simplify]: Simplify 2.0 into 2.0
14.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.597 * [taylor]: Taking taylor expansion of re in re
14.597 * [backup-simplify]: Simplify 0 into 0
14.597 * [backup-simplify]: Simplify 1 into 1
14.598 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
14.602 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.603 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.605 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.608 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.611 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.613 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.614 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.620 * [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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
14.621 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ (/ 1 (- im)) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
14.621 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
14.621 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
14.621 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
14.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.621 * [taylor]: Taking taylor expansion of 2.0 in re
14.621 * [backup-simplify]: Simplify 2.0 into 2.0
14.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.622 * [taylor]: Taking taylor expansion of im in re
14.622 * [backup-simplify]: Simplify im into im
14.623 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
14.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
14.623 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
14.623 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
14.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.623 * [taylor]: Taking taylor expansion of re in re
14.623 * [backup-simplify]: Simplify 0 into 0
14.623 * [backup-simplify]: Simplify 1 into 1
14.623 * [backup-simplify]: Simplify (/ 1 1) into 1
14.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.623 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.623 * [taylor]: Taking taylor expansion of im in re
14.623 * [backup-simplify]: Simplify im into im
14.623 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.624 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.624 * [taylor]: Taking taylor expansion of re in re
14.624 * [backup-simplify]: Simplify 0 into 0
14.624 * [backup-simplify]: Simplify 1 into 1
14.624 * [backup-simplify]: Simplify (* 1 1) into 1
14.625 * [backup-simplify]: Simplify (/ 1 1) into 1
14.625 * [backup-simplify]: Simplify (+ 0 1) into 1
14.625 * [backup-simplify]: Simplify (sqrt 1) into 1
14.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.627 * [backup-simplify]: Simplify (+ 0 0) into 0
14.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.628 * [backup-simplify]: Simplify (+ 1 1) into 2
14.629 * [backup-simplify]: Simplify (/ 1 2) into 1/2
14.629 * [backup-simplify]: Simplify (sqrt 0) into 0
14.630 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
14.630 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
14.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
14.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.631 * [taylor]: Taking taylor expansion of 2.0 in im
14.631 * [backup-simplify]: Simplify 2.0 into 2.0
14.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.632 * [taylor]: Taking taylor expansion of im in im
14.632 * [backup-simplify]: Simplify 0 into 0
14.632 * [backup-simplify]: Simplify 1 into 1
14.633 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
14.633 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
14.633 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
14.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.633 * [taylor]: Taking taylor expansion of re in im
14.633 * [backup-simplify]: Simplify re into re
14.633 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.633 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.633 * [taylor]: Taking taylor expansion of im in im
14.633 * [backup-simplify]: Simplify 0 into 0
14.633 * [backup-simplify]: Simplify 1 into 1
14.634 * [backup-simplify]: Simplify (* 1 1) into 1
14.634 * [backup-simplify]: Simplify (/ 1 1) into 1
14.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.634 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.634 * [taylor]: Taking taylor expansion of re in im
14.634 * [backup-simplify]: Simplify re into re
14.634 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.634 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.635 * [backup-simplify]: Simplify (+ 1 0) into 1
14.635 * [backup-simplify]: Simplify (sqrt 1) into 1
14.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.637 * [backup-simplify]: Simplify (+ 0 0) into 0
14.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.638 * [backup-simplify]: Simplify (+ 0 1) into 1
14.639 * [backup-simplify]: Simplify (/ 1 1) into 1
14.639 * [backup-simplify]: Simplify (sqrt 0) into 0
14.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.640 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
14.640 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
14.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.640 * [taylor]: Taking taylor expansion of 2.0 in im
14.640 * [backup-simplify]: Simplify 2.0 into 2.0
14.641 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.642 * [taylor]: Taking taylor expansion of im in im
14.642 * [backup-simplify]: Simplify 0 into 0
14.642 * [backup-simplify]: Simplify 1 into 1
14.643 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
14.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
14.643 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
14.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.643 * [taylor]: Taking taylor expansion of re in im
14.643 * [backup-simplify]: Simplify re into re
14.643 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.643 * [taylor]: Taking taylor expansion of im in im
14.643 * [backup-simplify]: Simplify 0 into 0
14.643 * [backup-simplify]: Simplify 1 into 1
14.643 * [backup-simplify]: Simplify (* 1 1) into 1
14.644 * [backup-simplify]: Simplify (/ 1 1) into 1
14.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.644 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.644 * [taylor]: Taking taylor expansion of re in im
14.644 * [backup-simplify]: Simplify re into re
14.644 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.644 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.645 * [backup-simplify]: Simplify (+ 1 0) into 1
14.645 * [backup-simplify]: Simplify (sqrt 1) into 1
14.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.647 * [backup-simplify]: Simplify (+ 0 0) into 0
14.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.648 * [backup-simplify]: Simplify (+ 0 1) into 1
14.648 * [backup-simplify]: Simplify (/ 1 1) into 1
14.649 * [backup-simplify]: Simplify (sqrt 0) into 0
14.650 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.651 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
14.651 * [taylor]: Taking taylor expansion of 0 in re
14.651 * [backup-simplify]: Simplify 0 into 0
14.651 * [backup-simplify]: Simplify 0 into 0
14.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.654 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
14.654 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
14.654 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.654 * [taylor]: Taking taylor expansion of +nan.0 in re
14.654 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.654 * [taylor]: Taking taylor expansion of 2.0 in re
14.654 * [backup-simplify]: Simplify 2.0 into 2.0
14.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.656 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.658 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.660 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.660 * [backup-simplify]: Simplify 0 into 0
14.660 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
14.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
14.661 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
14.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.665 * [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)))))
14.665 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
14.665 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
14.665 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.665 * [taylor]: Taking taylor expansion of +nan.0 in re
14.665 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.666 * [taylor]: Taking taylor expansion of 2.0 in re
14.666 * [backup-simplify]: Simplify 2.0 into 2.0
14.666 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.667 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
14.667 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
14.667 * [taylor]: Taking taylor expansion of +nan.0 in re
14.667 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
14.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.667 * [taylor]: Taking taylor expansion of 2.0 in re
14.667 * [backup-simplify]: Simplify 2.0 into 2.0
14.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.668 * [taylor]: Taking taylor expansion of re in re
14.668 * [backup-simplify]: Simplify 0 into 0
14.668 * [backup-simplify]: Simplify 1 into 1
14.669 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.670 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.672 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
14.672 * [backup-simplify]: Simplify (- 0) into 0
14.674 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
14.676 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.678 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.679 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
14.679 * [backup-simplify]: Simplify (- 0) into 0
14.679 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
14.682 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
14.683 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
14.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
14.684 * [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))))
14.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.695 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
14.695 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re
14.695 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re
14.695 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
14.695 * [taylor]: Taking taylor expansion of +nan.0 in re
14.695 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.695 * [taylor]: Taking taylor expansion of 2.0 in re
14.695 * [backup-simplify]: Simplify 2.0 into 2.0
14.696 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.696 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
14.696 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
14.696 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
14.696 * [taylor]: Taking taylor expansion of +nan.0 in re
14.696 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
14.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.696 * [taylor]: Taking taylor expansion of 2.0 in re
14.696 * [backup-simplify]: Simplify 2.0 into 2.0
14.696 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.697 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.697 * [taylor]: Taking taylor expansion of re in re
14.697 * [backup-simplify]: Simplify 0 into 0
14.697 * [backup-simplify]: Simplify 1 into 1
14.697 * [backup-simplify]: Simplify (* 1 1) into 1
14.698 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
14.698 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
14.698 * [taylor]: Taking taylor expansion of +nan.0 in re
14.698 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.698 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
14.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.698 * [taylor]: Taking taylor expansion of 2.0 in re
14.698 * [backup-simplify]: Simplify 2.0 into 2.0
14.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.699 * [taylor]: Taking taylor expansion of re in re
14.699 * [backup-simplify]: Simplify 0 into 0
14.699 * [backup-simplify]: Simplify 1 into 1
14.699 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
14.700 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
14.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.703 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
14.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
14.704 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
14.704 * [backup-simplify]: Simplify (- 0) into 0
14.704 * [backup-simplify]: Simplify (+ 0 0) into 0
14.705 * [backup-simplify]: Simplify (- 0) into 0
14.705 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
14.707 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
14.708 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
14.711 * [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) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
14.711 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2)
14.711 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
14.711 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
14.711 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
14.711 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.711 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.711 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.711 * [taylor]: Taking taylor expansion of re in im
14.711 * [backup-simplify]: Simplify re into re
14.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.711 * [taylor]: Taking taylor expansion of im in im
14.711 * [backup-simplify]: Simplify 0 into 0
14.711 * [backup-simplify]: Simplify 1 into 1
14.711 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.711 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.711 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.712 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.712 * [backup-simplify]: Simplify (+ 0 0) into 0
14.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.712 * [taylor]: Taking taylor expansion of re in im
14.712 * [backup-simplify]: Simplify re into re
14.712 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
14.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.712 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.712 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.712 * [taylor]: Taking taylor expansion of re in re
14.712 * [backup-simplify]: Simplify 0 into 0
14.712 * [backup-simplify]: Simplify 1 into 1
14.712 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.712 * [taylor]: Taking taylor expansion of im in re
14.712 * [backup-simplify]: Simplify im into im
14.712 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.712 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.712 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.712 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.713 * [backup-simplify]: Simplify (+ 0 0) into 0
14.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.713 * [taylor]: Taking taylor expansion of re in re
14.713 * [backup-simplify]: Simplify 0 into 0
14.713 * [backup-simplify]: Simplify 1 into 1
14.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
14.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.713 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.713 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.713 * [taylor]: Taking taylor expansion of re in re
14.713 * [backup-simplify]: Simplify 0 into 0
14.713 * [backup-simplify]: Simplify 1 into 1
14.713 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.713 * [taylor]: Taking taylor expansion of im in re
14.713 * [backup-simplify]: Simplify im into im
14.713 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.713 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.713 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.713 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.714 * [backup-simplify]: Simplify (+ 0 0) into 0
14.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.714 * [taylor]: Taking taylor expansion of re in re
14.714 * [backup-simplify]: Simplify 0 into 0
14.714 * [backup-simplify]: Simplify 1 into 1
14.714 * [backup-simplify]: Simplify (- 0) into 0
14.714 * [backup-simplify]: Simplify (+ im 0) into im
14.714 * [taylor]: Taking taylor expansion of im in im
14.714 * [backup-simplify]: Simplify 0 into 0
14.714 * [backup-simplify]: Simplify 1 into 1
14.714 * [backup-simplify]: Simplify 0 into 0
14.714 * [backup-simplify]: Simplify (- 1) into -1
14.715 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.715 * [taylor]: Taking taylor expansion of -1 in im
14.715 * [backup-simplify]: Simplify -1 into -1
14.715 * [backup-simplify]: Simplify -1 into -1
14.715 * [backup-simplify]: Simplify 1 into 1
14.715 * [backup-simplify]: Simplify (* 1 1) into 1
14.715 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.715 * [backup-simplify]: Simplify (+ 1 0) into 1
14.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.716 * [backup-simplify]: Simplify (- 0) into 0
14.716 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
14.716 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
14.716 * [taylor]: Taking taylor expansion of 1/2 in im
14.716 * [backup-simplify]: Simplify 1/2 into 1/2
14.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.716 * [taylor]: Taking taylor expansion of im in im
14.716 * [backup-simplify]: Simplify 0 into 0
14.716 * [backup-simplify]: Simplify 1 into 1
14.717 * [backup-simplify]: Simplify (/ 1 1) into 1
14.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.717 * [backup-simplify]: Simplify 0 into 0
14.717 * [backup-simplify]: Simplify 0 into 0
14.717 * [backup-simplify]: Simplify 0 into 0
14.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.719 * [backup-simplify]: Simplify (+ 0 0) into 0
14.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.719 * [backup-simplify]: Simplify (- 0) into 0
14.719 * [backup-simplify]: Simplify (+ 0 0) into 0
14.719 * [taylor]: Taking taylor expansion of 0 in im
14.719 * [backup-simplify]: Simplify 0 into 0
14.719 * [backup-simplify]: Simplify 0 into 0
14.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.720 * [backup-simplify]: Simplify 0 into 0
14.720 * [backup-simplify]: Simplify 0 into 0
14.720 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
14.721 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
14.721 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
14.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
14.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.721 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.721 * [taylor]: Taking taylor expansion of im in im
14.721 * [backup-simplify]: Simplify 0 into 0
14.721 * [backup-simplify]: Simplify 1 into 1
14.721 * [backup-simplify]: Simplify (* 1 1) into 1
14.721 * [backup-simplify]: Simplify (/ 1 1) into 1
14.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.721 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.722 * [taylor]: Taking taylor expansion of re in im
14.722 * [backup-simplify]: Simplify re into re
14.722 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.722 * [backup-simplify]: Simplify (+ 1 0) into 1
14.723 * [backup-simplify]: Simplify (sqrt 1) into 1
14.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.724 * [backup-simplify]: Simplify (+ 0 0) into 0
14.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.725 * [taylor]: Taking taylor expansion of re in im
14.725 * [backup-simplify]: Simplify re into re
14.725 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.725 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
14.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.725 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.725 * [taylor]: Taking taylor expansion of im in re
14.725 * [backup-simplify]: Simplify im into im
14.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.726 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.726 * [taylor]: Taking taylor expansion of re in re
14.726 * [backup-simplify]: Simplify 0 into 0
14.726 * [backup-simplify]: Simplify 1 into 1
14.726 * [backup-simplify]: Simplify (* 1 1) into 1
14.727 * [backup-simplify]: Simplify (/ 1 1) into 1
14.727 * [backup-simplify]: Simplify (+ 0 1) into 1
14.727 * [backup-simplify]: Simplify (sqrt 1) into 1
14.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.729 * [backup-simplify]: Simplify (+ 0 0) into 0
14.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.730 * [taylor]: Taking taylor expansion of re in re
14.730 * [backup-simplify]: Simplify 0 into 0
14.730 * [backup-simplify]: Simplify 1 into 1
14.730 * [backup-simplify]: Simplify (/ 1 1) into 1
14.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
14.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.730 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.730 * [taylor]: Taking taylor expansion of im in re
14.730 * [backup-simplify]: Simplify im into im
14.731 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.731 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.731 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.731 * [taylor]: Taking taylor expansion of re in re
14.731 * [backup-simplify]: Simplify 0 into 0
14.731 * [backup-simplify]: Simplify 1 into 1
14.731 * [backup-simplify]: Simplify (* 1 1) into 1
14.732 * [backup-simplify]: Simplify (/ 1 1) into 1
14.732 * [backup-simplify]: Simplify (+ 0 1) into 1
14.732 * [backup-simplify]: Simplify (sqrt 1) into 1
14.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.734 * [backup-simplify]: Simplify (+ 0 0) into 0
14.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.735 * [taylor]: Taking taylor expansion of re in re
14.735 * [backup-simplify]: Simplify 0 into 0
14.735 * [backup-simplify]: Simplify 1 into 1
14.735 * [backup-simplify]: Simplify (/ 1 1) into 1
14.736 * [backup-simplify]: Simplify (- 1) into -1
14.736 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.736 * [taylor]: Taking taylor expansion of 0 in im
14.736 * [backup-simplify]: Simplify 0 into 0
14.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.737 * [backup-simplify]: Simplify (- 0) into 0
14.738 * [backup-simplify]: Simplify (+ 0 0) into 0
14.738 * [taylor]: Taking taylor expansion of 0 in im
14.738 * [backup-simplify]: Simplify 0 into 0
14.738 * [backup-simplify]: Simplify 0 into 0
14.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.740 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.742 * [backup-simplify]: Simplify (- 0) into 0
14.743 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
14.743 * [taylor]: Taking taylor expansion of 1/2 in im
14.743 * [backup-simplify]: Simplify 1/2 into 1/2
14.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.743 * [taylor]: Taking taylor expansion of im in im
14.743 * [backup-simplify]: Simplify 0 into 0
14.743 * [backup-simplify]: Simplify 1 into 1
14.743 * [backup-simplify]: Simplify (* 1 1) into 1
14.743 * [backup-simplify]: Simplify (/ 1 1) into 1
14.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.746 * [backup-simplify]: Simplify 0 into 0
14.746 * [backup-simplify]: Simplify 0 into 0
14.746 * [backup-simplify]: Simplify 0 into 0
14.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
14.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.748 * [backup-simplify]: Simplify (+ 0 0) into 0
14.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.750 * [backup-simplify]: Simplify (- 0) into 0
14.751 * [backup-simplify]: Simplify (+ 0 0) into 0
14.751 * [taylor]: Taking taylor expansion of 0 in im
14.751 * [backup-simplify]: Simplify 0 into 0
14.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.753 * [backup-simplify]: Simplify 0 into 0
14.754 * [backup-simplify]: Simplify 0 into 0
14.754 * [backup-simplify]: Simplify 0 into 0
14.754 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
14.754 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
14.754 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
14.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.754 * [taylor]: Taking taylor expansion of re in im
14.754 * [backup-simplify]: Simplify re into re
14.754 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.754 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.754 * [taylor]: Taking taylor expansion of im in im
14.755 * [backup-simplify]: Simplify 0 into 0
14.755 * [backup-simplify]: Simplify 1 into 1
14.755 * [backup-simplify]: Simplify (* 1 1) into 1
14.755 * [backup-simplify]: Simplify (/ 1 1) into 1
14.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.755 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.755 * [taylor]: Taking taylor expansion of re in im
14.755 * [backup-simplify]: Simplify re into re
14.755 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.756 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.756 * [backup-simplify]: Simplify (+ 1 0) into 1
14.756 * [backup-simplify]: Simplify (sqrt 1) into 1
14.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.758 * [backup-simplify]: Simplify (+ 0 0) into 0
14.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.759 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
14.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.759 * [taylor]: Taking taylor expansion of re in re
14.759 * [backup-simplify]: Simplify 0 into 0
14.759 * [backup-simplify]: Simplify 1 into 1
14.760 * [backup-simplify]: Simplify (/ 1 1) into 1
14.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.760 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.760 * [taylor]: Taking taylor expansion of im in re
14.760 * [backup-simplify]: Simplify im into im
14.760 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.760 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.760 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.760 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.760 * [taylor]: Taking taylor expansion of re in re
14.760 * [backup-simplify]: Simplify 0 into 0
14.760 * [backup-simplify]: Simplify 1 into 1
14.761 * [backup-simplify]: Simplify (* 1 1) into 1
14.761 * [backup-simplify]: Simplify (/ 1 1) into 1
14.761 * [backup-simplify]: Simplify (+ 0 1) into 1
14.762 * [backup-simplify]: Simplify (sqrt 1) into 1
14.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.763 * [backup-simplify]: Simplify (+ 0 0) into 0
14.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.764 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
14.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.764 * [taylor]: Taking taylor expansion of re in re
14.764 * [backup-simplify]: Simplify 0 into 0
14.764 * [backup-simplify]: Simplify 1 into 1
14.765 * [backup-simplify]: Simplify (/ 1 1) into 1
14.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.765 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.765 * [taylor]: Taking taylor expansion of im in re
14.765 * [backup-simplify]: Simplify im into im
14.765 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.765 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.765 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.765 * [taylor]: Taking taylor expansion of re in re
14.765 * [backup-simplify]: Simplify 0 into 0
14.765 * [backup-simplify]: Simplify 1 into 1
14.766 * [backup-simplify]: Simplify (* 1 1) into 1
14.766 * [backup-simplify]: Simplify (/ 1 1) into 1
14.766 * [backup-simplify]: Simplify (+ 0 1) into 1
14.767 * [backup-simplify]: Simplify (sqrt 1) into 1
14.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.768 * [backup-simplify]: Simplify (+ 0 0) into 0
14.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.770 * [backup-simplify]: Simplify (+ 1 1) into 2
14.770 * [taylor]: Taking taylor expansion of 2 in im
14.770 * [backup-simplify]: Simplify 2 into 2
14.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.771 * [backup-simplify]: Simplify (+ 0 0) into 0
14.771 * [taylor]: Taking taylor expansion of 0 in im
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 2 into 2
14.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.774 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.775 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.775 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
14.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
14.775 * [taylor]: Taking taylor expansion of 1/2 in im
14.775 * [backup-simplify]: Simplify 1/2 into 1/2
14.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.775 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.775 * [taylor]: Taking taylor expansion of im in im
14.775 * [backup-simplify]: Simplify 0 into 0
14.775 * [backup-simplify]: Simplify 1 into 1
14.776 * [backup-simplify]: Simplify (* 1 1) into 1
14.776 * [backup-simplify]: Simplify (/ 1 1) into 1
14.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.778 * [backup-simplify]: Simplify 0 into 0
14.778 * [backup-simplify]: Simplify 0 into 0
14.778 * [backup-simplify]: Simplify 0 into 0
14.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
14.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.782 * [backup-simplify]: Simplify (+ 0 0) into 0
14.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.783 * [backup-simplify]: Simplify (+ 0 0) into 0
14.783 * [taylor]: Taking taylor expansion of 0 in im
14.783 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.786 * [backup-simplify]: Simplify 0 into 0
14.786 * [backup-simplify]: Simplify 0 into 0
14.786 * [backup-simplify]: Simplify 0 into 0
14.786 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
14.786 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
14.786 * [backup-simplify]: Simplify (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))) into (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re))
14.786 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0
14.786 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
14.787 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.787 * [taylor]: Taking taylor expansion of im in re
14.787 * [backup-simplify]: Simplify im into im
14.787 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
14.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
14.787 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
14.787 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.787 * [taylor]: Taking taylor expansion of re in re
14.787 * [backup-simplify]: Simplify 0 into 0
14.787 * [backup-simplify]: Simplify 1 into 1
14.787 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.787 * [taylor]: Taking taylor expansion of im in re
14.787 * [backup-simplify]: Simplify im into im
14.787 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.787 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.787 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.788 * [backup-simplify]: Simplify (+ 0 0) into 0
14.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.788 * [taylor]: Taking taylor expansion of re in re
14.788 * [backup-simplify]: Simplify 0 into 0
14.788 * [backup-simplify]: Simplify 1 into 1
14.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.789 * [backup-simplify]: Simplify (- 0) into 0
14.789 * [backup-simplify]: Simplify (+ im 0) into im
14.789 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
14.789 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
14.789 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.789 * [taylor]: Taking taylor expansion of im in im
14.789 * [backup-simplify]: Simplify 0 into 0
14.789 * [backup-simplify]: Simplify 1 into 1
14.789 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
14.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.789 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.789 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.789 * [taylor]: Taking taylor expansion of re in im
14.789 * [backup-simplify]: Simplify re into re
14.789 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.789 * [taylor]: Taking taylor expansion of im in im
14.789 * [backup-simplify]: Simplify 0 into 0
14.789 * [backup-simplify]: Simplify 1 into 1
14.789 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.789 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.790 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.790 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.790 * [backup-simplify]: Simplify (+ 0 0) into 0
14.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.790 * [taylor]: Taking taylor expansion of re in im
14.790 * [backup-simplify]: Simplify re into re
14.791 * [backup-simplify]: Simplify (* 1 1) into 1
14.791 * [backup-simplify]: Simplify (- re) into (- re)
14.791 * [backup-simplify]: Simplify (+ re (- re)) into 0
14.791 * [backup-simplify]: Simplify (- 0) into 0
14.792 * [backup-simplify]: Simplify (+ 0 0) into 0
14.792 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.792 * [backup-simplify]: Simplify (* 1 1) into 1
14.793 * [backup-simplify]: Simplify (+ 0 1) into 1
14.794 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
14.794 * [backup-simplify]: Simplify (- 0) into 0
14.794 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
14.794 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
14.794 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
14.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.795 * [taylor]: Taking taylor expansion of im in im
14.795 * [backup-simplify]: Simplify 0 into 0
14.795 * [backup-simplify]: Simplify 1 into 1
14.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
14.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
14.795 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
14.795 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.795 * [taylor]: Taking taylor expansion of re in im
14.795 * [backup-simplify]: Simplify re into re
14.795 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.795 * [taylor]: Taking taylor expansion of im in im
14.795 * [backup-simplify]: Simplify 0 into 0
14.795 * [backup-simplify]: Simplify 1 into 1
14.795 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.795 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.796 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.796 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.796 * [backup-simplify]: Simplify (+ 0 0) into 0
14.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.796 * [taylor]: Taking taylor expansion of re in im
14.796 * [backup-simplify]: Simplify re into re
14.797 * [backup-simplify]: Simplify (* 1 1) into 1
14.797 * [backup-simplify]: Simplify (- re) into (- re)
14.797 * [backup-simplify]: Simplify (+ re (- re)) into 0
14.797 * [backup-simplify]: Simplify (- 0) into 0
14.798 * [backup-simplify]: Simplify (+ 0 0) into 0
14.798 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.798 * [backup-simplify]: Simplify (* 1 1) into 1
14.799 * [backup-simplify]: Simplify (+ 0 1) into 1
14.800 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
14.800 * [backup-simplify]: Simplify (- 0) into 0
14.800 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
14.800 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
14.800 * [taylor]: Taking taylor expansion of (* 2 re) in re
14.800 * [taylor]: Taking taylor expansion of 2 in re
14.800 * [backup-simplify]: Simplify 2 into 2
14.800 * [taylor]: Taking taylor expansion of re in re
14.800 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify 1 into 1
14.801 * [backup-simplify]: Simplify (* 2 0) into 0
14.801 * [backup-simplify]: Simplify 0 into 0
14.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.802 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
14.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.803 * [backup-simplify]: Simplify (+ 0 0) into 0
14.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
14.803 * [backup-simplify]: Simplify (- 0) into 0
14.803 * [backup-simplify]: Simplify (+ 0 0) into 0
14.803 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
14.803 * [taylor]: Taking taylor expansion of 0 in re
14.803 * [backup-simplify]: Simplify 0 into 0
14.803 * [backup-simplify]: Simplify 0 into 0
14.804 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
14.804 * [backup-simplify]: Simplify 2 into 2
14.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.805 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
14.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.806 * [backup-simplify]: Simplify (+ 0 0) into 0
14.806 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
14.806 * [backup-simplify]: Simplify (- 0) into 0
14.807 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
14.807 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
14.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
14.807 * [taylor]: Taking taylor expansion of 1/2 in re
14.807 * [backup-simplify]: Simplify 1/2 into 1/2
14.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.807 * [taylor]: Taking taylor expansion of re in re
14.807 * [backup-simplify]: Simplify 0 into 0
14.807 * [backup-simplify]: Simplify 1 into 1
14.807 * [backup-simplify]: Simplify (/ 1 1) into 1
14.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.808 * [backup-simplify]: Simplify 0 into 0
14.808 * [backup-simplify]: Simplify 0 into 0
14.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
14.809 * [backup-simplify]: Simplify 0 into 0
14.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.810 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
14.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.811 * [backup-simplify]: Simplify (+ 0 0) into 0
14.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
14.812 * [backup-simplify]: Simplify (- 0) into 0
14.812 * [backup-simplify]: Simplify (+ 0 0) into 0
14.812 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 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
14.812 * [taylor]: Taking taylor expansion of 0 in re
14.812 * [backup-simplify]: Simplify 0 into 0
14.812 * [backup-simplify]: Simplify 0 into 0
14.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.813 * [backup-simplify]: Simplify 0 into 0
14.813 * [backup-simplify]: Simplify 0 into 0
14.813 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
14.814 * [backup-simplify]: Simplify (* (/ 1 im) (/ (/ 1 im) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)))
14.814 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0
14.814 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re
14.814 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re
14.814 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
14.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.814 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.814 * [taylor]: Taking taylor expansion of im in re
14.814 * [backup-simplify]: Simplify im into im
14.814 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.814 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.814 * [taylor]: Taking taylor expansion of re in re
14.814 * [backup-simplify]: Simplify 0 into 0
14.814 * [backup-simplify]: Simplify 1 into 1
14.818 * [backup-simplify]: Simplify (* 1 1) into 1
14.818 * [backup-simplify]: Simplify (/ 1 1) into 1
14.818 * [backup-simplify]: Simplify (+ 0 1) into 1
14.819 * [backup-simplify]: Simplify (sqrt 1) into 1
14.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.820 * [backup-simplify]: Simplify (+ 0 0) into 0
14.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.820 * [taylor]: Taking taylor expansion of re in re
14.820 * [backup-simplify]: Simplify 0 into 0
14.820 * [backup-simplify]: Simplify 1 into 1
14.820 * [backup-simplify]: Simplify (/ 1 1) into 1
14.820 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.820 * [taylor]: Taking taylor expansion of im in re
14.820 * [backup-simplify]: Simplify im into im
14.821 * [backup-simplify]: Simplify (- 1) into -1
14.821 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.821 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.821 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0
14.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.822 * [backup-simplify]: Simplify (- 0) into 0
14.823 * [backup-simplify]: Simplify (+ 0 0) into 0
14.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0
14.823 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.825 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
14.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.828 * [backup-simplify]: Simplify (- 0) into 0
14.828 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2
14.830 * [backup-simplify]: Simplify (/ 1 1/2) into 2
14.830 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
14.830 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
14.830 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
14.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.830 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.830 * [taylor]: Taking taylor expansion of im in im
14.830 * [backup-simplify]: Simplify 0 into 0
14.830 * [backup-simplify]: Simplify 1 into 1
14.830 * [backup-simplify]: Simplify (* 1 1) into 1
14.831 * [backup-simplify]: Simplify (/ 1 1) into 1
14.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.831 * [taylor]: Taking taylor expansion of re in im
14.831 * [backup-simplify]: Simplify re into re
14.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.831 * [backup-simplify]: Simplify (+ 1 0) into 1
14.832 * [backup-simplify]: Simplify (sqrt 1) into 1
14.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.833 * [backup-simplify]: Simplify (+ 0 0) into 0
14.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.834 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.834 * [taylor]: Taking taylor expansion of re in im
14.834 * [backup-simplify]: Simplify re into re
14.834 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.834 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.834 * [taylor]: Taking taylor expansion of im in im
14.834 * [backup-simplify]: Simplify 0 into 0
14.834 * [backup-simplify]: Simplify 1 into 1
14.835 * [backup-simplify]: Simplify (+ 1 0) into 1
14.835 * [backup-simplify]: Simplify (* 1 1) into 1
14.836 * [backup-simplify]: Simplify (* 1 1) into 1
14.836 * [backup-simplify]: Simplify (/ 1 1) into 1
14.836 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im
14.836 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im
14.836 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
14.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.836 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.836 * [taylor]: Taking taylor expansion of im in im
14.836 * [backup-simplify]: Simplify 0 into 0
14.836 * [backup-simplify]: Simplify 1 into 1
14.837 * [backup-simplify]: Simplify (* 1 1) into 1
14.837 * [backup-simplify]: Simplify (/ 1 1) into 1
14.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.837 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.837 * [taylor]: Taking taylor expansion of re in im
14.837 * [backup-simplify]: Simplify re into re
14.837 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.837 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.838 * [backup-simplify]: Simplify (+ 1 0) into 1
14.838 * [backup-simplify]: Simplify (sqrt 1) into 1
14.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.840 * [backup-simplify]: Simplify (+ 0 0) into 0
14.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.841 * [taylor]: Taking taylor expansion of re in im
14.841 * [backup-simplify]: Simplify re into re
14.841 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.841 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.841 * [taylor]: Taking taylor expansion of im in im
14.841 * [backup-simplify]: Simplify 0 into 0
14.841 * [backup-simplify]: Simplify 1 into 1
14.842 * [backup-simplify]: Simplify (+ 1 0) into 1
14.842 * [backup-simplify]: Simplify (* 1 1) into 1
14.842 * [backup-simplify]: Simplify (* 1 1) into 1
14.843 * [backup-simplify]: Simplify (/ 1 1) into 1
14.843 * [taylor]: Taking taylor expansion of 1 in re
14.843 * [backup-simplify]: Simplify 1 into 1
14.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.844 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
14.844 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
14.844 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re))
14.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
14.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.844 * [taylor]: Taking taylor expansion of re in re
14.844 * [backup-simplify]: Simplify 0 into 0
14.844 * [backup-simplify]: Simplify 1 into 1
14.845 * [backup-simplify]: Simplify (/ 1 1) into 1
14.845 * [backup-simplify]: Simplify 1 into 1
14.845 * [backup-simplify]: Simplify 1 into 1
14.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.848 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
14.849 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
14.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.850 * [backup-simplify]: Simplify (- 0) into 0
14.850 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
14.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
14.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
14.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
14.851 * [taylor]: Taking taylor expansion of 1/2 in re
14.851 * [backup-simplify]: Simplify 1/2 into 1/2
14.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.851 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.851 * [taylor]: Taking taylor expansion of re in re
14.851 * [backup-simplify]: Simplify 0 into 0
14.852 * [backup-simplify]: Simplify 1 into 1
14.852 * [backup-simplify]: Simplify (* 1 1) into 1
14.852 * [backup-simplify]: Simplify (/ 1 1) into 1
14.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.855 * [backup-simplify]: Simplify 0 into 0
14.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.855 * [backup-simplify]: Simplify 0 into 0
14.855 * [backup-simplify]: Simplify 0 into 0
14.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.858 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
14.860 * [backup-simplify]: Simplify (+ 0 0) into 0
14.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
14.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
14.861 * [backup-simplify]: Simplify (- 0) into 0
14.861 * [backup-simplify]: Simplify (+ 0 0) into 0
14.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0
14.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
14.863 * [taylor]: Taking taylor expansion of 0 in re
14.864 * [backup-simplify]: Simplify 0 into 0
14.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.866 * [backup-simplify]: Simplify 0 into 0
14.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.867 * [backup-simplify]: Simplify 0 into 0
14.867 * [backup-simplify]: Simplify 0 into 0
14.868 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
14.868 * [backup-simplify]: Simplify (* (/ 1 (- im)) (/ (/ 1 (- im)) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)))
14.868 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0
14.868 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re
14.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re
14.869 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
14.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.869 * [taylor]: Taking taylor expansion of re in re
14.869 * [backup-simplify]: Simplify 0 into 0
14.869 * [backup-simplify]: Simplify 1 into 1
14.869 * [backup-simplify]: Simplify (/ 1 1) into 1
14.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
14.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
14.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
14.869 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.869 * [taylor]: Taking taylor expansion of im in re
14.869 * [backup-simplify]: Simplify im into im
14.869 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
14.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.870 * [taylor]: Taking taylor expansion of re in re
14.870 * [backup-simplify]: Simplify 0 into 0
14.870 * [backup-simplify]: Simplify 1 into 1
14.870 * [backup-simplify]: Simplify (* 1 1) into 1
14.871 * [backup-simplify]: Simplify (/ 1 1) into 1
14.871 * [backup-simplify]: Simplify (+ 0 1) into 1
14.872 * [backup-simplify]: Simplify (sqrt 1) into 1
14.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.873 * [backup-simplify]: Simplify (+ 0 0) into 0
14.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.874 * [taylor]: Taking taylor expansion of (pow im 2) in re
14.874 * [taylor]: Taking taylor expansion of im in re
14.874 * [backup-simplify]: Simplify im into im
14.875 * [backup-simplify]: Simplify (+ 1 1) into 2
14.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.875 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
14.875 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
14.875 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
14.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
14.875 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
14.875 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.875 * [taylor]: Taking taylor expansion of re in im
14.875 * [backup-simplify]: Simplify re into re
14.875 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.875 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.875 * [taylor]: Taking taylor expansion of im in im
14.876 * [backup-simplify]: Simplify 0 into 0
14.876 * [backup-simplify]: Simplify 1 into 1
14.876 * [backup-simplify]: Simplify (* 1 1) into 1
14.876 * [backup-simplify]: Simplify (/ 1 1) into 1
14.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.876 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.876 * [taylor]: Taking taylor expansion of re in im
14.876 * [backup-simplify]: Simplify re into re
14.876 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.877 * [backup-simplify]: Simplify (+ 1 0) into 1
14.877 * [backup-simplify]: Simplify (sqrt 1) into 1
14.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.879 * [backup-simplify]: Simplify (+ 0 0) into 0
14.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.880 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.880 * [taylor]: Taking taylor expansion of im in im
14.880 * [backup-simplify]: Simplify 0 into 0
14.880 * [backup-simplify]: Simplify 1 into 1
14.880 * [backup-simplify]: Simplify (+ 0 1) into 1
14.881 * [backup-simplify]: Simplify (* 1 1) into 1
14.881 * [backup-simplify]: Simplify (* 1 1) into 1
14.881 * [backup-simplify]: Simplify (/ 1 1) into 1
14.881 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im
14.881 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im
14.882 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
14.882 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.882 * [taylor]: Taking taylor expansion of re in im
14.882 * [backup-simplify]: Simplify re into re
14.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
14.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
14.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.882 * [taylor]: Taking taylor expansion of im in im
14.882 * [backup-simplify]: Simplify 0 into 0
14.882 * [backup-simplify]: Simplify 1 into 1
14.882 * [backup-simplify]: Simplify (* 1 1) into 1
14.883 * [backup-simplify]: Simplify (/ 1 1) into 1
14.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.883 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.883 * [taylor]: Taking taylor expansion of re in im
14.883 * [backup-simplify]: Simplify re into re
14.883 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.883 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.883 * [backup-simplify]: Simplify (+ 1 0) into 1
14.884 * [backup-simplify]: Simplify (sqrt 1) into 1
14.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.885 * [backup-simplify]: Simplify (+ 0 0) into 0
14.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.886 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.886 * [taylor]: Taking taylor expansion of im in im
14.886 * [backup-simplify]: Simplify 0 into 0
14.886 * [backup-simplify]: Simplify 1 into 1
14.887 * [backup-simplify]: Simplify (+ 0 1) into 1
14.887 * [backup-simplify]: Simplify (* 1 1) into 1
14.887 * [backup-simplify]: Simplify (* 1 1) into 1
14.888 * [backup-simplify]: Simplify (/ 1 1) into 1
14.888 * [taylor]: Taking taylor expansion of 1 in re
14.888 * [backup-simplify]: Simplify 1 into 1
14.888 * [backup-simplify]: Simplify 0 into 0
14.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.889 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
14.889 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
14.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
14.889 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
14.889 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.889 * [taylor]: Taking taylor expansion of re in re
14.889 * [backup-simplify]: Simplify 0 into 0
14.889 * [backup-simplify]: Simplify 1 into 1
14.890 * [backup-simplify]: Simplify (/ 1 1) into 1
14.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.892 * [backup-simplify]: Simplify (- 0) into 0
14.892 * [backup-simplify]: Simplify 0 into 0
14.892 * [backup-simplify]: Simplify 0 into 0
14.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.895 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
14.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
14.896 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
14.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
14.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
14.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
14.897 * [taylor]: Taking taylor expansion of 1/2 in re
14.897 * [backup-simplify]: Simplify 1/2 into 1/2
14.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
14.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
14.898 * [taylor]: Taking taylor expansion of re in re
14.898 * [backup-simplify]: Simplify 0 into 0
14.898 * [backup-simplify]: Simplify 1 into 1
14.898 * [backup-simplify]: Simplify (* 1 1) into 1
14.898 * [backup-simplify]: Simplify (/ 1 1) into 1
14.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.904 * [backup-simplify]: Simplify 0 into 0
14.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.906 * [backup-simplify]: Simplify (- 0) into 0
14.906 * [backup-simplify]: Simplify 0 into 0
14.906 * [backup-simplify]: Simplify 0 into 0
14.906 * [backup-simplify]: Simplify 0 into 0
14.906 * * * [progress]: simplifying candidates
14.908 * [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 (- (sqrt (+ (* re re) (* im im))) re))))))
  (exp (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (* (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt 2.0)
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (+ (log im) (- (log im) (log (- (sqrt (+ (* re re) (* im im))) re))))
  (+ (log im) (log (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (log (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* im im) im) (/ (* (* im im) im) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* im im) im) (* (* (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ im (- (sqrt (+ (* re re) (* im im))) re))) (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))) (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))) (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (/ (sqrt im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (/ (sqrt im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (/ (* (cbrt im) (cbrt im)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (/ (* (cbrt im) (cbrt im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (/ (* (cbrt im) (cbrt im)) 1))
  (* im (/ (* (cbrt im) (cbrt im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (* (cbrt im) (cbrt im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (* (cbrt im) (cbrt im)) 1))
  (* im (/ (sqrt im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (/ (sqrt im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (/ (sqrt im) 1))
  (* im (/ (sqrt im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (sqrt im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (sqrt im) 1))
  (* im (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (/ 1 1))
  (* im (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ 1 1))
  (* im 1)
  (* im im)
  (* im (/ im (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (* im (/ im (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (* (cbrt im) (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt im) (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* im im)
  im
  re
  (* -1 re)
  (- (+ (* +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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0)))))))
  (- im re)
  0
  (* -2 re)
  (* 2 re)
  (+ re im)
  0
14.913 * * [simplify]: Extracting # 0 : cost  0
14.913 * * [simplify]: Extracting # 1 : cost  0
14.914 * * [simplify]: Extracting # 2 : cost  0
14.914 * * [simplify]: Extracting # 3 : cost  0
14.914 * * [simplify]: Extracting # 4 : cost  0
14.915 * * [simplify]: Extracting # 5 : cost  0
14.915 * * [simplify]: Extracting # 6 : cost  0
14.916 * * [simplify]: Extracting # 7 : cost  0
14.916 * * [simplify]: Extracting # 8 : cost  0
14.917 * * [simplify]: Extracting # 9 : cost  0
14.917 * * [simplify]: Extracting # 10 : cost  0
14.917 * * [simplify]: Extracting # 11 : cost  0
14.918 * * [simplify]: Extracting # 12 : cost  0
14.918 * * [simplify]: Extracting # 13 : cost  0
14.919 * * [simplify]: Extracting # 14 : cost  0
14.919 * * [simplify]: iteration  0 :  178  enodes  (cost  1570 )
15.001 * * [simplify]: Extracting # 0 : cost  0
15.002 * * [simplify]: Extracting # 1 : cost  0
15.002 * * [simplify]: Extracting # 2 : cost  0
15.003 * * [simplify]: Extracting # 3 : cost  0
15.003 * * [simplify]: Extracting # 4 : cost  0
15.004 * * [simplify]: iteration  1 :  428  enodes  (cost  1440 )
15.247 * * [simplify]: Extracting # 0 : cost  0
15.250 * * [simplify]: Extracting # 1 : cost  0
15.253 * * [simplify]: Extracting # 2 : cost  0
15.255 * * [simplify]: Extracting # 3 : cost  0
15.258 * * [simplify]: Extracting # 4 : cost  0
15.262 * * [simplify]: iteration  2 :  1140  enodes  (cost  1292 )
16.109 * * [simplify]: Extracting # 0 : cost  0
16.116 * * [simplify]: Extracting # 1 : cost  0
16.122 * * [simplify]: Extracting # 2 : cost  0
16.127 * * [simplify]: Extracting # 3 : cost  0
16.133 * * [simplify]: Extracting # 4 : cost  0
16.138 * * [simplify]: iteration  3 :  3051  enodes  (cost  1263 )
17.587 * * [simplify]: Extracting # 0 : cost  0
17.598 * * [simplify]: Extracting # 1 : cost  0
17.608 * * [simplify]: Extracting # 2 : cost  0
17.627 * * [simplify]: Extracting # 3 : cost  0
17.637 * * [simplify]: Extracting # 4 : cost  0
17.647 * * [simplify]: iteration done:  5001  enodes  (cost  1259 )
17.648 * [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))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow im 6) (pow re 6)))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (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 (- (sqrt (+ (* re re) (* im im))) re))))))
  (exp (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (* (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))
  (cbrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (pow (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))) 3)
  (sqrt 2.0)
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  1/2
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))))
  (exp (- (sqrt (+ (* re re) (* im im))) 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))
  (pow (- (sqrt (+ (* re re) (* im im))) re) 3)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))))
  (- re)
  (* im im)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (log (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (log (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (log (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (pow (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* im (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (sqrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))
  (* im (/ (* (cbrt im) (cbrt im)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (/ (* (cbrt im) (cbrt im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (cbrt im) (cbrt im)) im)
  (* im (/ (* (cbrt im) (cbrt im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (* (cbrt im) (cbrt im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (* (cbrt im) (cbrt im)) im)
  (* im (/ (sqrt im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (* im (/ (sqrt im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt im) im)
  (* im (/ (sqrt im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* im (/ (sqrt im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (sqrt im) im)
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  im
  im
  (* im im)
  (* im (/ im (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (* im im) (* im im))
  (* (cbrt im) (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt im) (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))
  (* im im)
  im
  re
  (- re)
  (* +nan.0 (+ (- (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re)))))
  (* +nan.0 (+ (* (/ (sqrt 2.0) im) (- re (/ re im))) (- (sqrt 2.0))))
  (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0))))
  (- im re)
  0
  (* -2 re)
  (* 2 re)
  (+ re im)
  0
17.650 * * * [progress]: adding candidates to table
17.996 * [progress]: [Phase 3 of 3] Extracting.
17.996 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
17.998 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
17.998 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
18.075 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>)
18.114 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
18.196 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
18.307 * * * [regime]: Found split indices: #<option (#s(si 7 36) #s(si 5 128) #s(si 2 142) #s(si 3 215) #s(si 4 255))>
18.308 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
18.610 * [regimes]: Found splitpoints: (#s(sp 7 re -3.0368624680251324e+161) #s(sp 5 re -2.180790474222034e-229) #s(sp 2 re -5.338971335212211e-289) #s(sp 3 re 2.076008095509726e+76) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (pow im 2) (- (- re) re))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* im (* (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ im (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))))>)
18.610 * [simplify]: Simplifying:
  (if (<= re -3.0368624680251324e+161) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))) (if (<= re -2.180790474222034e-229) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))) (if (<= re -5.338971335212211e-289) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 2.076008095509726e+76) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))))
18.610 * * [simplify]: Extracting # 0 : cost  0
18.610 * * [simplify]: Extracting # 1 : cost  0
18.610 * * [simplify]: Extracting # 2 : cost  0
18.610 * * [simplify]: Extracting # 3 : cost  0
18.610 * * [simplify]: Extracting # 4 : cost  0
18.611 * * [simplify]: Extracting # 5 : cost  0
18.611 * * [simplify]: Extracting # 6 : cost  0
18.611 * * [simplify]: Extracting # 7 : cost  0
18.611 * * [simplify]: Extracting # 8 : cost  0
18.611 * * [simplify]: Extracting # 9 : cost  0
18.611 * * [simplify]: Extracting # 10 : cost  0
18.611 * * [simplify]: Extracting # 11 : cost  0
18.611 * * [simplify]: Extracting # 12 : cost  0
18.611 * * [simplify]: Extracting # 13 : cost  0
18.611 * * [simplify]: Extracting # 14 : cost  0
18.611 * * [simplify]: Extracting # 15 : cost  0
18.611 * * [simplify]: Extracting # 16 : cost  0
18.611 * * [simplify]: Extracting # 17 : cost  0
18.611 * * [simplify]: Extracting # 18 : cost  0
18.611 * * [simplify]: iteration  0 :  49  enodes  (cost  99 )
18.614 * * [simplify]: Extracting # 0 : cost  0
18.614 * * [simplify]: iteration  1 :  67  enodes  (cost  99 )
18.616 * * [simplify]: Extracting # 0 : cost  0
18.617 * * [simplify]: iteration done:  67  enodes  (cost  99 )
18.617 * [simplify]: Simplified to:
  (if (<= re -3.0368624680251324e+161) (* 0.5 (sqrt (* 2.0 (* im (/ im (* -2 re)))))) (if (<= re -2.180790474222034e-229) (* 0.5 (sqrt (* 2.0 (* im (/ im (- (sqrt (+ (* re re) (* im im))) re)))))) (if (<= re -5.338971335212211e-289) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 2.076008095509726e+76) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (* 2 re))))))))
20.267 * [regime-testing]: Baseline error score: 40.70340731220204
20.269 * [regime-testing]: Oracle error score: 12.968524461947597
20.270 * [regime-testing]: End program error score: 23.02323772210826
20.341 * [regime-testing]: Target error score: 33.772357022689036