23.650 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.050 * [progress]: [Phase 2 of 3] Improving.
0.051 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.051 * * [simplify]: Extracting # 0 : cost  0
0.051 * * [simplify]: Extracting # 1 : cost  0
0.051 * * [simplify]: Extracting # 2 : cost  0
0.051 * * [simplify]: Extracting # 3 : cost  0
0.051 * * [simplify]: Extracting # 4 : cost  0
0.051 * * [simplify]: Extracting # 5 : cost  0
0.051 * * [simplify]: Extracting # 6 : cost  0
0.051 * * [simplify]: Extracting # 7 : cost  0
0.051 * * [simplify]: Extracting # 8 : cost  0
0.051 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.053 * * [simplify]: Extracting # 0 : cost  0
0.053 * * [simplify]: Extracting # 1 : cost  0
0.053 * * [simplify]: Extracting # 2 : cost  0
0.053 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.056 * * [simplify]: Extracting # 0 : cost  0
0.056 * * [simplify]: iteration  2 :  24  enodes  (cost  15 )
0.060 * * [simplify]: Extracting # 0 : cost  0
0.060 * * [simplify]: iteration done:  24  enodes  (cost  15 )
0.060 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.061 * * [progress]: iteration 1 / 4
0.061 * * * [progress]: picking best candidate
0.063 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.063 * * * [progress]: localizing error
0.074 * * * [progress]: generating rewritten candidates
0.074 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.083 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.125 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.164 * * * [progress]: generating series expansions
0.165 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.165 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.165 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.165 * [taylor]: Taking taylor expansion of re in im
0.165 * [backup-simplify]: Simplify re into re
0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.165 * [taylor]: Taking taylor expansion of im in im
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.165 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.166 * [taylor]: Taking taylor expansion of re in re
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.166 * [taylor]: Taking taylor expansion of im in re
0.166 * [backup-simplify]: Simplify im into im
0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.167 * [taylor]: Taking taylor expansion of re in re
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.167 * [taylor]: Taking taylor expansion of im in re
0.167 * [backup-simplify]: Simplify im into im
0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.169 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.169 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.169 * [taylor]: Taking taylor expansion of 1/2 in im
0.169 * [backup-simplify]: Simplify 1/2 into 1/2
0.169 * [taylor]: Taking taylor expansion of im in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.171 * [taylor]: Taking taylor expansion of 0 in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.172 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.172 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.172 * [taylor]: Taking taylor expansion of im in im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 1 1) into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.173 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.173 * [taylor]: Taking taylor expansion of re in im
0.173 * [backup-simplify]: Simplify re into re
0.173 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.173 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.174 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify (sqrt 1) into 1
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [backup-simplify]: Simplify (+ 0 1) into 1
0.177 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.178 * [taylor]: Taking taylor expansion of im in re
0.178 * [backup-simplify]: Simplify im into im
0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.179 * [taylor]: Taking taylor expansion of re in re
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [backup-simplify]: Simplify (+ 0 1) into 1
0.180 * [backup-simplify]: Simplify (sqrt 1) into 1
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.181 * [taylor]: Taking taylor expansion of 1 in im
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.184 * [taylor]: Taking taylor expansion of 1/2 in im
0.184 * [backup-simplify]: Simplify 1/2 into 1/2
0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.184 * [taylor]: Taking taylor expansion of im in im
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.193 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.193 * [taylor]: Taking taylor expansion of im in im
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.194 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.195 * [backup-simplify]: Simplify (+ 1 0) into 1
0.196 * [backup-simplify]: Simplify (sqrt 1) into 1
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.198 * [taylor]: Taking taylor expansion of im in re
0.198 * [backup-simplify]: Simplify im into im
0.198 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.199 * [taylor]: Taking taylor expansion of re in re
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (sqrt 1) into 1
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [backup-simplify]: Simplify (+ 0 1) into 1
0.205 * [backup-simplify]: Simplify (sqrt 1) into 1
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.208 * [taylor]: Taking taylor expansion of 1 in im
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of 0 in im
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.213 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.213 * [taylor]: Taking taylor expansion of 1/2 in im
0.213 * [backup-simplify]: Simplify 1/2 into 1/2
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.213 * [taylor]: Taking taylor expansion of im in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* 1 1) into 1
0.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in im
0.225 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.227 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.228 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2))))
0.228 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.228 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.228 * [taylor]: Taking taylor expansion of re in im
0.228 * [backup-simplify]: Simplify re into re
0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.228 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.228 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.228 * [taylor]: Taking taylor expansion of re in im
0.228 * [backup-simplify]: Simplify re into re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.228 * [taylor]: Taking taylor expansion of im in im
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.229 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.229 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.229 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.230 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.230 * [taylor]: Taking taylor expansion of re in re
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.230 * [taylor]: Taking taylor expansion of re in re
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.230 * [taylor]: Taking taylor expansion of im in re
0.230 * [backup-simplify]: Simplify im into im
0.230 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.230 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.230 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 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
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.232 * [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
0.233 * [backup-simplify]: Simplify (+ 0 im) into im
0.233 * [taylor]: Taking taylor expansion of im in im
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [taylor]: Taking taylor expansion of 1 in im
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.236 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.236 * [taylor]: Taking taylor expansion of 1/2 in im
0.236 * [backup-simplify]: Simplify 1/2 into 1/2
0.236 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.236 * [taylor]: Taking taylor expansion of im in im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [taylor]: Taking taylor expansion of 0 in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.243 * [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)))))
0.243 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.243 * [taylor]: Taking taylor expansion of re in im
0.243 * [backup-simplify]: Simplify re into re
0.243 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.243 * [taylor]: Taking taylor expansion of im in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.244 * [backup-simplify]: Simplify (/ 1 1) into 1
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.244 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2)
0.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [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
0.247 * [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
0.248 * [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
0.253 * [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
0.254 * [taylor]: Taking taylor expansion of (/ 1 re) 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
0.254 * [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)
0.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [backup-simplify]: Simplify (+ 0 1) into 1
0.256 * [backup-simplify]: Simplify (sqrt 1) into 1
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [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
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [taylor]: Taking taylor expansion of 0 in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 2 into 2
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.266 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.266 * [taylor]: Taking taylor expansion of 1/2 in im
0.266 * [backup-simplify]: Simplify 1/2 into 1/2
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.266 * [taylor]: Taking taylor expansion of im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.278 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))
0.278 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
0.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.278 * [taylor]: Taking taylor expansion of im in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.279 * [taylor]: Taking taylor expansion of re in im
0.279 * [backup-simplify]: Simplify re into re
0.279 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.283 * [taylor]: Taking taylor expansion of re in im
0.283 * [backup-simplify]: Simplify re into re
0.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.283 * [taylor]: Taking taylor expansion of im in re
0.283 * [backup-simplify]: Simplify im into im
0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.284 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.284 * [taylor]: Taking taylor expansion of re in re
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [backup-simplify]: Simplify (sqrt 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.288 * [taylor]: Taking taylor expansion of re in re
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [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
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.289 * [taylor]: Taking taylor expansion of im in re
0.289 * [backup-simplify]: Simplify im into im
0.289 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.289 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.291 * [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
0.294 * [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
0.296 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (- 0) into 0
0.299 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.299 * [taylor]: Taking taylor expansion of 1/2 in im
0.299 * [backup-simplify]: Simplify 1/2 into 1/2
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.299 * [taylor]: Taking taylor expansion of im in im
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- 0) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [taylor]: Taking taylor expansion of 0 in im
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.306 * [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))))))
0.306 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0
0.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.306 * [taylor]: Taking taylor expansion of 2.0 in im
0.306 * [backup-simplify]: Simplify 2.0 into 2.0
0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im
0.307 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im
0.307 * [taylor]: Taking taylor expansion of re in im
0.307 * [backup-simplify]: Simplify re into re
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.307 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.307 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.307 * [taylor]: Taking taylor expansion of re in im
0.307 * [backup-simplify]: Simplify re into re
0.307 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.307 * [taylor]: Taking taylor expansion of im in im
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.307 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.307 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.308 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.308 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.308 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.308 * [taylor]: Taking taylor expansion of 2.0 in re
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.309 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.309 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.309 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.309 * [taylor]: Taking taylor expansion of im in re
0.309 * [backup-simplify]: Simplify im into im
0.309 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.309 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.310 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.310 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 im) into im
0.310 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re
0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.310 * [taylor]: Taking taylor expansion of 2.0 in re
0.310 * [backup-simplify]: Simplify 2.0 into 2.0
0.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.311 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re
0.311 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.311 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.311 * [taylor]: Taking taylor expansion of im in re
0.311 * [backup-simplify]: Simplify im into im
0.311 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.312 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.312 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 im) into im
0.312 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.312 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.313 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.313 * [taylor]: Taking taylor expansion of 2.0 in im
0.313 * [backup-simplify]: Simplify 2.0 into 2.0
0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.314 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.314 * [taylor]: Taking taylor expansion of im in im
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (sqrt 0) into 0
0.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.315 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.316 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.316 * [taylor]: Taking taylor expansion of 1/2 in im
0.316 * [backup-simplify]: Simplify 1/2 into 1/2
0.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.316 * [taylor]: Taking taylor expansion of 2.0 in im
0.316 * [backup-simplify]: Simplify 2.0 into 2.0
0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.317 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.317 * [taylor]: Taking taylor expansion of im in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (sqrt 0) into 0
0.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.319 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.323 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.325 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.326 * [backup-simplify]: Simplify (+ 1 0) into 1
0.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.326 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.327 * [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))))
0.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.329 * [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)))))
0.329 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.329 * [taylor]: Taking taylor expansion of 1/8 in im
0.329 * [backup-simplify]: Simplify 1/8 into 1/8
0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) 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
0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.330 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.330 * [taylor]: Taking taylor expansion of im in im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [backup-simplify]: Simplify (sqrt 0) into 0
0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.348 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.355 * [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)))))))
0.355 * [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)))))))
0.355 * [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
0.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.355 * [taylor]: Taking taylor expansion of 2.0 in im
0.355 * [backup-simplify]: Simplify 2.0 into 2.0
0.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.356 * [taylor]: Taking taylor expansion of re in im
0.356 * [backup-simplify]: Simplify re into re
0.356 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.356 * [taylor]: Taking taylor expansion of im in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.357 * [taylor]: Taking taylor expansion of re in im
0.357 * [backup-simplify]: Simplify re into re
0.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.357 * [backup-simplify]: Simplify (sqrt 1) into 1
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.359 * [backup-simplify]: Simplify (+ 0 1) into 1
0.359 * [backup-simplify]: Simplify (sqrt 0) into 0
0.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.360 * [taylor]: Taking taylor expansion of 2.0 in re
0.360 * [backup-simplify]: Simplify 2.0 into 2.0
0.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.361 * [taylor]: Taking taylor expansion of re in re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.362 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [backup-simplify]: Simplify (+ 0 1) into 1
0.363 * [backup-simplify]: Simplify (sqrt 1) into 1
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.365 * [backup-simplify]: Simplify (+ 1 1) into 2
0.365 * [backup-simplify]: Simplify (sqrt 0) into 0
0.366 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.366 * [taylor]: Taking taylor expansion of 2.0 in re
0.366 * [backup-simplify]: Simplify 2.0 into 2.0
0.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.366 * [taylor]: Taking taylor expansion of re in re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.368 * [backup-simplify]: Simplify (sqrt 1) into 1
0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.370 * [backup-simplify]: Simplify (+ 1 1) into 2
0.370 * [backup-simplify]: Simplify (sqrt 0) into 0
0.371 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.371 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.371 * [taylor]: Taking taylor expansion of 0 in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.372 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.372 * [taylor]: Taking taylor expansion of +nan.0 in im
0.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.372 * [taylor]: Taking taylor expansion of 2.0 in im
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 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.380 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.380 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.380 * [taylor]: Taking taylor expansion of +nan.0 in im
0.380 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.380 * [taylor]: Taking taylor expansion of 2.0 in im
0.380 * [backup-simplify]: Simplify 2.0 into 2.0
0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.382 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.383 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.385 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.390 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.392 * [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))
0.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.395 * [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)))))
0.395 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.395 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.395 * [taylor]: Taking taylor expansion of +nan.0 in im
0.395 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.395 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.395 * [taylor]: Taking taylor expansion of 2.0 in im
0.395 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.396 * [taylor]: Taking taylor expansion of im in im
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.398 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.398 * [taylor]: Taking taylor expansion of +nan.0 in im
0.398 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.398 * [taylor]: Taking taylor expansion of 2.0 in im
0.398 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.407 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.408 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.409 * [backup-simplify]: Simplify (- 0) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [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)))
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.419 * [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)))))
0.419 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.420 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.420 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.420 * [taylor]: Taking taylor expansion of +nan.0 in im
0.420 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.420 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.420 * [taylor]: Taking taylor expansion of 2.0 in im
0.420 * [backup-simplify]: Simplify 2.0 into 2.0
0.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.421 * [taylor]: Taking taylor expansion of im in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.422 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.422 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.423 * [taylor]: Taking taylor expansion of +nan.0 in im
0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.423 * [taylor]: Taking taylor expansion of 2.0 in im
0.423 * [backup-simplify]: Simplify 2.0 into 2.0
0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.433 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.434 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.437 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.439 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.441 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.446 * [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)))))))
0.447 * [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))))
0.447 * [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
0.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.447 * [taylor]: Taking taylor expansion of 2.0 in im
0.447 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.448 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
0.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.449 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.449 * [taylor]: Taking taylor expansion of re in im
0.450 * [backup-simplify]: Simplify re into re
0.450 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.450 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.450 * [backup-simplify]: Simplify (+ 1 0) into 1
0.451 * [backup-simplify]: Simplify (sqrt 1) into 1
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.453 * [taylor]: Taking taylor expansion of re in im
0.453 * [backup-simplify]: Simplify re into re
0.453 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.454 * [backup-simplify]: Simplify (+ 1 0) into 1
0.454 * [backup-simplify]: Simplify (sqrt 0) into 0
0.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.456 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.456 * [taylor]: Taking taylor expansion of 2.0 in re
0.456 * [backup-simplify]: Simplify 2.0 into 2.0
0.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.457 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.457 * [taylor]: Taking taylor expansion of im in re
0.458 * [backup-simplify]: Simplify im into im
0.458 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.458 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (* 1 1) into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (+ 0 1) into 1
0.460 * [backup-simplify]: Simplify (sqrt 1) into 1
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.463 * [taylor]: Taking taylor expansion of re in re
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [backup-simplify]: Simplify (- 1) into -1
0.464 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.471 * [backup-simplify]: Simplify (sqrt 0) into 0
0.472 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.472 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.472 * [taylor]: Taking taylor expansion of 2.0 in re
0.472 * [backup-simplify]: Simplify 2.0 into 2.0
0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.473 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
0.473 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.473 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.473 * [taylor]: Taking taylor expansion of im in re
0.473 * [backup-simplify]: Simplify im into im
0.473 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.474 * [taylor]: Taking taylor expansion of re in re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.475 * [backup-simplify]: Simplify (+ 0 1) into 1
0.475 * [backup-simplify]: Simplify (sqrt 1) into 1
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.478 * [taylor]: Taking taylor expansion of re in re
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [backup-simplify]: Simplify (- 1) into -1
0.479 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.486 * [backup-simplify]: Simplify (sqrt 0) into 0
0.487 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.487 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.487 * [taylor]: Taking taylor expansion of 0 in im
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.489 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.489 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.489 * [taylor]: Taking taylor expansion of +nan.0 in im
0.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.489 * [taylor]: Taking taylor expansion of 2.0 in im
0.489 * [backup-simplify]: Simplify 2.0 into 2.0
0.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.490 * [taylor]: Taking taylor expansion of im in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.497 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.509 * [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))))
0.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.509 * [taylor]: Taking taylor expansion of +nan.0 in im
0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.510 * [taylor]: Taking taylor expansion of 2.0 in im
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.511 * [taylor]: Taking taylor expansion of im in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.539 * [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))))))
0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.542 * [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))))))
0.543 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.543 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.543 * [taylor]: Taking taylor expansion of +nan.0 in im
0.543 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.543 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.543 * [taylor]: Taking taylor expansion of 2.0 in im
0.543 * [backup-simplify]: Simplify 2.0 into 2.0
0.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.544 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.546 * [taylor]: Taking taylor expansion of +nan.0 in im
0.546 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.546 * [taylor]: Taking taylor expansion of 2.0 in im
0.546 * [backup-simplify]: Simplify 2.0 into 2.0
0.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.547 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.547 * [taylor]: Taking taylor expansion of im in im
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (* 1 1) into 1
0.550 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.572 * [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
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.578 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify 0 into 0
0.594 * * * [progress]: simplifying candidates
0.596 * [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
0.598 * * [simplify]: Extracting # 0 : cost  0
0.598 * * [simplify]: Extracting # 1 : cost  0
0.598 * * [simplify]: Extracting # 2 : cost  0
0.599 * * [simplify]: Extracting # 3 : cost  0
0.599 * * [simplify]: Extracting # 4 : cost  0
0.599 * * [simplify]: Extracting # 5 : cost  0
0.599 * * [simplify]: Extracting # 6 : cost  0
0.600 * * [simplify]: Extracting # 7 : cost  0
0.600 * * [simplify]: Extracting # 8 : cost  0
0.600 * * [simplify]: Extracting # 9 : cost  0
0.600 * * [simplify]: Extracting # 10 : cost  0
0.601 * * [simplify]: Extracting # 11 : cost  0
0.601 * * [simplify]: Extracting # 12 : cost  0
0.601 * * [simplify]: iteration  0 :  99  enodes  (cost  722 )
0.643 * * [simplify]: Extracting # 0 : cost  0
0.643 * * [simplify]: Extracting # 1 : cost  0
0.644 * * [simplify]: Extracting # 2 : cost  0
0.644 * * [simplify]: Extracting # 3 : cost  0
0.645 * * [simplify]: Extracting # 4 : cost  0
0.645 * * [simplify]: iteration  1 :  243  enodes  (cost  617 )
0.734 * * [simplify]: Extracting # 0 : cost  0
0.735 * * [simplify]: Extracting # 1 : cost  0
0.736 * * [simplify]: Extracting # 2 : cost  0
0.736 * * [simplify]: Extracting # 3 : cost  0
0.737 * * [simplify]: Extracting # 4 : cost  0
0.737 * * [simplify]: iteration  2 :  642  enodes  (cost  569 )
1.066 * * [simplify]: Extracting # 0 : cost  0
1.069 * * [simplify]: Extracting # 1 : cost  0
1.072 * * [simplify]: Extracting # 2 : cost  0
1.075 * * [simplify]: Extracting # 3 : cost  0
1.079 * * [simplify]: Extracting # 4 : cost  0
1.082 * * [simplify]: iteration  3 :  1604  enodes  (cost  542 )
2.662 * * [simplify]: Extracting # 0 : cost  0
2.671 * * [simplify]: Extracting # 1 : cost  0
2.678 * * [simplify]: Extracting # 2 : cost  0
2.690 * * [simplify]: Extracting # 3 : cost  0
2.697 * * [simplify]: Extracting # 4 : cost  0
2.703 * * [simplify]: iteration  4 :  4024  enodes  (cost  537 )
4.384 * * [simplify]: Extracting # 0 : cost  0
4.393 * * [simplify]: Extracting # 1 : cost  0
4.412 * * [simplify]: Extracting # 2 : cost  0
4.421 * * [simplify]: Extracting # 3 : cost  0
4.429 * * [simplify]: Extracting # 4 : cost  0
4.438 * * [simplify]: iteration done:  5000  enodes  (cost  537 )
4.439 * [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
4.440 * * * [progress]: adding candidates to table
4.673 * * [progress]: iteration 2 / 4
4.673 * * * [progress]: picking best candidate
4.683 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
4.683 * * * [progress]: localizing error
4.702 * * * [progress]: generating rewritten candidates
4.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
4.714 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
4.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.895 * * * [progress]: generating series expansions
4.895 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
4.896 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
4.896 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
4.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
4.896 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
4.896 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.896 * [taylor]: Taking taylor expansion of re in im
4.896 * [backup-simplify]: Simplify re into re
4.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.896 * [taylor]: Taking taylor expansion of im in im
4.896 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify 1 into 1
4.896 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.896 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.897 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.897 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.898 * [backup-simplify]: Simplify (+ 0 0) into 0
4.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.898 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.898 * [taylor]: Taking taylor expansion of re in re
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 1 into 1
4.898 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.898 * [taylor]: Taking taylor expansion of im in re
4.898 * [backup-simplify]: Simplify im into im
4.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.898 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.899 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.899 * [backup-simplify]: Simplify (+ 0 0) into 0
4.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
4.899 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
4.899 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.899 * [taylor]: Taking taylor expansion of re in re
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 1 into 1
4.900 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.900 * [taylor]: Taking taylor expansion of im in re
4.900 * [backup-simplify]: Simplify im into im
4.900 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.900 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.900 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.900 * [backup-simplify]: Simplify (+ 0 0) into 0
4.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.901 * [taylor]: Taking taylor expansion of im in im
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [taylor]: Taking taylor expansion of 0 in im
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify (* 1 1) into 1
4.902 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.902 * [backup-simplify]: Simplify (+ 1 0) into 1
4.903 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.903 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.903 * [taylor]: Taking taylor expansion of 1/2 in im
4.903 * [backup-simplify]: Simplify 1/2 into 1/2
4.903 * [taylor]: Taking taylor expansion of im in im
4.903 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 1 into 1
4.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.907 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.907 * [backup-simplify]: Simplify (+ 0 0) into 0
4.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.907 * [taylor]: Taking taylor expansion of 0 in im
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.909 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.909 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.909 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.909 * [taylor]: Taking taylor expansion of im in im
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 1 into 1
4.909 * [backup-simplify]: Simplify (* 1 1) into 1
4.910 * [backup-simplify]: Simplify (/ 1 1) into 1
4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.910 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.910 * [taylor]: Taking taylor expansion of re in im
4.910 * [backup-simplify]: Simplify re into re
4.910 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.910 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.911 * [backup-simplify]: Simplify (+ 1 0) into 1
4.911 * [backup-simplify]: Simplify (sqrt 1) into 1
4.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.913 * [backup-simplify]: Simplify (+ 0 0) into 0
4.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.914 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.914 * [taylor]: Taking taylor expansion of im in re
4.914 * [backup-simplify]: Simplify im into im
4.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.914 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.914 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.914 * [taylor]: Taking taylor expansion of re in re
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 1 into 1
4.915 * [backup-simplify]: Simplify (* 1 1) into 1
4.915 * [backup-simplify]: Simplify (/ 1 1) into 1
4.916 * [backup-simplify]: Simplify (+ 0 1) into 1
4.916 * [backup-simplify]: Simplify (sqrt 1) into 1
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (+ 0 0) into 0
4.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.919 * [taylor]: Taking taylor expansion of im in re
4.919 * [backup-simplify]: Simplify im into im
4.919 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.919 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.919 * [taylor]: Taking taylor expansion of re in re
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (* 1 1) into 1
4.920 * [backup-simplify]: Simplify (/ 1 1) into 1
4.920 * [backup-simplify]: Simplify (+ 0 1) into 1
4.921 * [backup-simplify]: Simplify (sqrt 1) into 1
4.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.922 * [backup-simplify]: Simplify (+ 0 0) into 0
4.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.923 * [taylor]: Taking taylor expansion of 1 in im
4.923 * [backup-simplify]: Simplify 1 into 1
4.923 * [taylor]: Taking taylor expansion of 0 in im
4.923 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 1 into 1
4.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.926 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.927 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.927 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.927 * [taylor]: Taking taylor expansion of 1/2 in im
4.927 * [backup-simplify]: Simplify 1/2 into 1/2
4.927 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.927 * [taylor]: Taking taylor expansion of im in im
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 1 into 1
4.928 * [backup-simplify]: Simplify (* 1 1) into 1
4.928 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ 0 0) into 0
4.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.933 * [taylor]: Taking taylor expansion of 0 in im
4.933 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.936 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
4.936 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
4.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
4.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.936 * [taylor]: Taking taylor expansion of im in im
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 1 into 1
4.936 * [backup-simplify]: Simplify (* 1 1) into 1
4.937 * [backup-simplify]: Simplify (/ 1 1) into 1
4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.937 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.937 * [taylor]: Taking taylor expansion of re in im
4.937 * [backup-simplify]: Simplify re into re
4.937 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.937 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.937 * [backup-simplify]: Simplify (+ 1 0) into 1
4.938 * [backup-simplify]: Simplify (sqrt 1) into 1
4.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.939 * [backup-simplify]: Simplify (+ 0 0) into 0
4.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.940 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.940 * [taylor]: Taking taylor expansion of im in re
4.940 * [backup-simplify]: Simplify im into im
4.940 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.941 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.941 * [taylor]: Taking taylor expansion of re in re
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 1 into 1
4.941 * [backup-simplify]: Simplify (* 1 1) into 1
4.941 * [backup-simplify]: Simplify (/ 1 1) into 1
4.942 * [backup-simplify]: Simplify (+ 0 1) into 1
4.942 * [backup-simplify]: Simplify (sqrt 1) into 1
4.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.944 * [backup-simplify]: Simplify (+ 0 0) into 0
4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
4.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
4.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.945 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.945 * [taylor]: Taking taylor expansion of im in re
4.945 * [backup-simplify]: Simplify im into im
4.945 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.945 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.945 * [taylor]: Taking taylor expansion of re in re
4.945 * [backup-simplify]: Simplify 0 into 0
4.945 * [backup-simplify]: Simplify 1 into 1
4.946 * [backup-simplify]: Simplify (* 1 1) into 1
4.946 * [backup-simplify]: Simplify (/ 1 1) into 1
4.946 * [backup-simplify]: Simplify (+ 0 1) into 1
4.947 * [backup-simplify]: Simplify (sqrt 1) into 1
4.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.948 * [backup-simplify]: Simplify (+ 0 0) into 0
4.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.949 * [taylor]: Taking taylor expansion of 1 in im
4.949 * [backup-simplify]: Simplify 1 into 1
4.949 * [taylor]: Taking taylor expansion of 0 in im
4.949 * [backup-simplify]: Simplify 0 into 0
4.949 * [backup-simplify]: Simplify 1 into 1
4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.951 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
4.953 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.953 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.953 * [taylor]: Taking taylor expansion of 1/2 in im
4.953 * [backup-simplify]: Simplify 1/2 into 1/2
4.953 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.953 * [taylor]: Taking taylor expansion of im in im
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify 1 into 1
4.953 * [backup-simplify]: Simplify (* 1 1) into 1
4.954 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.955 * [backup-simplify]: Simplify 0 into 0
4.955 * [backup-simplify]: Simplify 0 into 0
4.955 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.958 * [backup-simplify]: Simplify (+ 0 0) into 0
4.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.959 * [taylor]: Taking taylor expansion of 0 in im
4.959 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
4.961 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.962 * [backup-simplify]: Simplify (sqrt (* (* im im) 2.0)) into (* (sqrt 2.0) im)
4.962 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
4.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.962 * [taylor]: Taking taylor expansion of 2.0 in im
4.962 * [backup-simplify]: Simplify 2.0 into 2.0
4.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.963 * [taylor]: Taking taylor expansion of im in im
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
4.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.963 * [taylor]: Taking taylor expansion of 2.0 in im
4.963 * [backup-simplify]: Simplify 2.0 into 2.0
4.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.964 * [taylor]: Taking taylor expansion of im in im
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 1 into 1
4.965 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
4.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.970 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
4.970 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.972 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.972 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.975 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.978 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.978 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.981 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
4.981 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
4.985 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) into (/ (sqrt 2.0) im)
4.985 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
4.985 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.986 * [taylor]: Taking taylor expansion of 2.0 in im
4.986 * [backup-simplify]: Simplify 2.0 into 2.0
4.986 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.987 * [taylor]: Taking taylor expansion of im in im
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 1 into 1
4.988 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.988 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
4.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
4.988 * [taylor]: Taking taylor expansion of 2.0 in im
4.988 * [backup-simplify]: Simplify 2.0 into 2.0
4.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.989 * [taylor]: Taking taylor expansion of im in im
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 1 into 1
4.990 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.990 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.991 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.994 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.000 * [backup-simplify]: Simplify 0 into 0
5.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.002 * [backup-simplify]: Simplify 0 into 0
5.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.005 * [backup-simplify]: Simplify 0 into 0
5.005 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
5.006 * [backup-simplify]: Simplify (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) into (/ (sqrt 2.0) im)
5.006 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
5.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.006 * [taylor]: Taking taylor expansion of 2.0 in im
5.006 * [backup-simplify]: Simplify 2.0 into 2.0
5.006 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.007 * [taylor]: Taking taylor expansion of im in im
5.007 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify 1 into 1
5.008 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.008 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.008 * [taylor]: Taking taylor expansion of 2.0 in im
5.008 * [backup-simplify]: Simplify 2.0 into 2.0
5.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.010 * [taylor]: Taking taylor expansion of im in im
5.010 * [backup-simplify]: Simplify 0 into 0
5.010 * [backup-simplify]: Simplify 1 into 1
5.010 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.013 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.014 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.016 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.017 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.019 * [backup-simplify]: Simplify 0 into 0
5.019 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
5.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
5.019 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
5.019 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
5.019 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.020 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.020 * [taylor]: Taking taylor expansion of re in im
5.020 * [backup-simplify]: Simplify re into re
5.020 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.020 * [taylor]: Taking taylor expansion of im in im
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify 1 into 1
5.020 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.020 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.020 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.020 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.020 * [backup-simplify]: Simplify (+ 0 0) into 0
5.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.020 * [taylor]: Taking taylor expansion of re in im
5.020 * [backup-simplify]: Simplify re into re
5.020 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
5.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.020 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.020 * [taylor]: Taking taylor expansion of re in re
5.020 * [backup-simplify]: Simplify 0 into 0
5.021 * [backup-simplify]: Simplify 1 into 1
5.021 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.021 * [taylor]: Taking taylor expansion of im in re
5.021 * [backup-simplify]: Simplify im into im
5.021 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.021 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.021 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.021 * [backup-simplify]: Simplify (+ 0 0) into 0
5.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.021 * [taylor]: Taking taylor expansion of re in re
5.021 * [backup-simplify]: Simplify 0 into 0
5.021 * [backup-simplify]: Simplify 1 into 1
5.021 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
5.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.021 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.021 * [taylor]: Taking taylor expansion of re in re
5.021 * [backup-simplify]: Simplify 0 into 0
5.021 * [backup-simplify]: Simplify 1 into 1
5.021 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.021 * [taylor]: Taking taylor expansion of im in re
5.021 * [backup-simplify]: Simplify im into im
5.021 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.022 * [backup-simplify]: Simplify (+ 0 0) into 0
5.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.022 * [taylor]: Taking taylor expansion of re in re
5.022 * [backup-simplify]: Simplify 0 into 0
5.022 * [backup-simplify]: Simplify 1 into 1
5.022 * [backup-simplify]: Simplify (- 0) into 0
5.022 * [backup-simplify]: Simplify (+ im 0) into im
5.022 * [taylor]: Taking taylor expansion of im in im
5.022 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify (- 1) into -1
5.023 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.023 * [taylor]: Taking taylor expansion of -1 in im
5.023 * [backup-simplify]: Simplify -1 into -1
5.023 * [backup-simplify]: Simplify -1 into -1
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [backup-simplify]: Simplify (* 1 1) into 1
5.024 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.028 * [backup-simplify]: Simplify (+ 1 0) into 1
5.029 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.029 * [backup-simplify]: Simplify (- 0) into 0
5.029 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
5.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.029 * [taylor]: Taking taylor expansion of 1/2 in im
5.029 * [backup-simplify]: Simplify 1/2 into 1/2
5.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.029 * [taylor]: Taking taylor expansion of im in im
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 1 into 1
5.029 * [backup-simplify]: Simplify (/ 1 1) into 1
5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 0 into 0
5.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.031 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.031 * [backup-simplify]: Simplify (+ 0 0) into 0
5.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.032 * [backup-simplify]: Simplify (- 0) into 0
5.032 * [backup-simplify]: Simplify (+ 0 0) into 0
5.032 * [taylor]: Taking taylor expansion of 0 in im
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
5.033 * [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))
5.033 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
5.033 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.034 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.034 * [taylor]: Taking taylor expansion of im in im
5.034 * [backup-simplify]: Simplify 0 into 0
5.034 * [backup-simplify]: Simplify 1 into 1
5.034 * [backup-simplify]: Simplify (* 1 1) into 1
5.034 * [backup-simplify]: Simplify (/ 1 1) into 1
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.034 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.034 * [taylor]: Taking taylor expansion of re in im
5.034 * [backup-simplify]: Simplify re into re
5.034 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.035 * [backup-simplify]: Simplify (+ 1 0) into 1
5.035 * [backup-simplify]: Simplify (sqrt 1) into 1
5.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.036 * [backup-simplify]: Simplify (+ 0 0) into 0
5.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.036 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.036 * [taylor]: Taking taylor expansion of re in im
5.036 * [backup-simplify]: Simplify re into re
5.036 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.036 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.037 * [taylor]: Taking taylor expansion of im in re
5.037 * [backup-simplify]: Simplify im into im
5.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.037 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.037 * [taylor]: Taking taylor expansion of re in re
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 1 into 1
5.037 * [backup-simplify]: Simplify (* 1 1) into 1
5.037 * [backup-simplify]: Simplify (/ 1 1) into 1
5.038 * [backup-simplify]: Simplify (+ 0 1) into 1
5.038 * [backup-simplify]: Simplify (sqrt 1) into 1
5.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.039 * [backup-simplify]: Simplify (+ 0 0) into 0
5.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.039 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.039 * [taylor]: Taking taylor expansion of re in re
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.040 * [backup-simplify]: Simplify (/ 1 1) into 1
5.040 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.040 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.040 * [taylor]: Taking taylor expansion of im in re
5.040 * [backup-simplify]: Simplify im into im
5.040 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.040 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.040 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.040 * [taylor]: Taking taylor expansion of re in re
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (* 1 1) into 1
5.041 * [backup-simplify]: Simplify (/ 1 1) into 1
5.042 * [backup-simplify]: Simplify (+ 0 1) into 1
5.042 * [backup-simplify]: Simplify (sqrt 1) into 1
5.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.044 * [backup-simplify]: Simplify (+ 0 0) into 0
5.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.045 * [taylor]: Taking taylor expansion of re in re
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify 1 into 1
5.045 * [backup-simplify]: Simplify (/ 1 1) into 1
5.046 * [backup-simplify]: Simplify (- 1) into -1
5.046 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.046 * [taylor]: Taking taylor expansion of 0 in im
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.047 * [backup-simplify]: Simplify (- 0) into 0
5.048 * [backup-simplify]: Simplify (+ 0 0) into 0
5.048 * [taylor]: Taking taylor expansion of 0 in im
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.052 * [backup-simplify]: Simplify (- 0) into 0
5.053 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.053 * [taylor]: Taking taylor expansion of 1/2 in im
5.053 * [backup-simplify]: Simplify 1/2 into 1/2
5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.053 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.053 * [taylor]: Taking taylor expansion of im in im
5.053 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (* 1 1) into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.056 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.059 * [backup-simplify]: Simplify (+ 0 0) into 0
5.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (- 0) into 0
5.062 * [backup-simplify]: Simplify (+ 0 0) into 0
5.062 * [taylor]: Taking taylor expansion of 0 in im
5.062 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [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)))))
5.065 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
5.065 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.065 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.066 * [taylor]: Taking taylor expansion of re in im
5.066 * [backup-simplify]: Simplify re into re
5.066 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.066 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.066 * [taylor]: Taking taylor expansion of im in im
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 1 into 1
5.066 * [backup-simplify]: Simplify (* 1 1) into 1
5.067 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.067 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.067 * [taylor]: Taking taylor expansion of re in im
5.067 * [backup-simplify]: Simplify re into re
5.067 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.067 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.067 * [backup-simplify]: Simplify (+ 1 0) into 1
5.068 * [backup-simplify]: Simplify (sqrt 1) into 1
5.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (+ 0 0) into 0
5.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.070 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.070 * [taylor]: Taking taylor expansion of re in re
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 1 into 1
5.071 * [backup-simplify]: Simplify (/ 1 1) into 1
5.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.071 * [taylor]: Taking taylor expansion of im in re
5.071 * [backup-simplify]: Simplify im into im
5.071 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.071 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.071 * [taylor]: Taking taylor expansion of re in re
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 1 into 1
5.072 * [backup-simplify]: Simplify (* 1 1) into 1
5.072 * [backup-simplify]: Simplify (/ 1 1) into 1
5.072 * [backup-simplify]: Simplify (+ 0 1) into 1
5.072 * [backup-simplify]: Simplify (sqrt 1) into 1
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ 0 0) into 0
5.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.074 * [taylor]: Taking taylor expansion of re in re
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify (/ 1 1) into 1
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.074 * [taylor]: Taking taylor expansion of im in re
5.074 * [backup-simplify]: Simplify im into im
5.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.074 * [taylor]: Taking taylor expansion of re in re
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (/ 1 1) into 1
5.075 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.077 * [backup-simplify]: Simplify (+ 0 0) into 0
5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.077 * [backup-simplify]: Simplify (+ 1 1) into 2
5.077 * [taylor]: Taking taylor expansion of 2 in im
5.077 * [backup-simplify]: Simplify 2 into 2
5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (+ 0 0) into 0
5.078 * [taylor]: Taking taylor expansion of 0 in im
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 2 into 2
5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.080 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.081 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.081 * [taylor]: Taking taylor expansion of 1/2 in im
5.081 * [backup-simplify]: Simplify 1/2 into 1/2
5.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.081 * [taylor]: Taking taylor expansion of im in im
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify (* 1 1) into 1
5.081 * [backup-simplify]: Simplify (/ 1 1) into 1
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.085 * [backup-simplify]: Simplify (+ 0 0) into 0
5.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.085 * [backup-simplify]: Simplify (+ 0 0) into 0
5.086 * [taylor]: Taking taylor expansion of 0 in im
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
5.087 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.088 * [backup-simplify]: Simplify (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
5.088 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
5.088 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
5.088 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.088 * [taylor]: Taking taylor expansion of 2.0 in re
5.088 * [backup-simplify]: Simplify 2.0 into 2.0
5.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.088 * [taylor]: Taking taylor expansion of im in re
5.088 * [backup-simplify]: Simplify im into im
5.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
5.089 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
5.089 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
5.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
5.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
5.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.089 * [taylor]: Taking taylor expansion of re in re
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify 1 into 1
5.089 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.089 * [taylor]: Taking taylor expansion of im in re
5.089 * [backup-simplify]: Simplify im into im
5.089 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.089 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.089 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.089 * [taylor]: Taking taylor expansion of re in re
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify 1 into 1
5.090 * [backup-simplify]: Simplify (- 0) into 0
5.090 * [backup-simplify]: Simplify (+ im 0) into im
5.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.090 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
5.090 * [backup-simplify]: Simplify (- 1) into -1
5.090 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
5.091 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
5.091 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
5.091 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
5.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.091 * [taylor]: Taking taylor expansion of 2.0 in im
5.091 * [backup-simplify]: Simplify 2.0 into 2.0
5.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.091 * [taylor]: Taking taylor expansion of im in im
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
5.091 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
5.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.091 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.092 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.092 * [taylor]: Taking taylor expansion of re in im
5.092 * [backup-simplify]: Simplify re into re
5.092 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.092 * [taylor]: Taking taylor expansion of im in im
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify 1 into 1
5.092 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.092 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.092 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.092 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.092 * [backup-simplify]: Simplify (+ 0 0) into 0
5.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.092 * [taylor]: Taking taylor expansion of re in im
5.092 * [backup-simplify]: Simplify re into re
5.092 * [backup-simplify]: Simplify (- re) into (- re)
5.092 * [backup-simplify]: Simplify (+ re (- re)) into 0
5.093 * [backup-simplify]: Simplify (- 0) into 0
5.093 * [backup-simplify]: Simplify (+ 0 0) into 0
5.093 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.093 * [backup-simplify]: Simplify (* 1 1) into 1
5.094 * [backup-simplify]: Simplify (+ 0 1) into 1
5.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.094 * [backup-simplify]: Simplify (- 0) into 0
5.094 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
5.094 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
5.094 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.095 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.096 * [backup-simplify]: Simplify (+ 0 0) into 0
5.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.096 * [backup-simplify]: Simplify (- 0) into 0
5.096 * [backup-simplify]: Simplify (+ 0 0) into 0
5.096 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
5.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.096 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
5.096 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
5.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.096 * [taylor]: Taking taylor expansion of 2.0 in im
5.096 * [backup-simplify]: Simplify 2.0 into 2.0
5.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.097 * [taylor]: Taking taylor expansion of im in im
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 1 into 1
5.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
5.097 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
5.097 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
5.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
5.097 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
5.097 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.097 * [taylor]: Taking taylor expansion of re in im
5.097 * [backup-simplify]: Simplify re into re
5.097 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.097 * [taylor]: Taking taylor expansion of im in im
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 1 into 1
5.097 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.098 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.098 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.098 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.098 * [backup-simplify]: Simplify (+ 0 0) into 0
5.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.098 * [taylor]: Taking taylor expansion of re in im
5.098 * [backup-simplify]: Simplify re into re
5.098 * [backup-simplify]: Simplify (- re) into (- re)
5.098 * [backup-simplify]: Simplify (+ re (- re)) into 0
5.098 * [backup-simplify]: Simplify (- 0) into 0
5.099 * [backup-simplify]: Simplify (+ 0 0) into 0
5.099 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.099 * [backup-simplify]: Simplify (* 1 1) into 1
5.099 * [backup-simplify]: Simplify (+ 0 1) into 1
5.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.101 * [backup-simplify]: Simplify (- 0) into 0
5.101 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
5.101 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
5.101 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.102 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.103 * [backup-simplify]: Simplify (+ 0 0) into 0
5.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.103 * [backup-simplify]: Simplify (- 0) into 0
5.104 * [backup-simplify]: Simplify (+ 0 0) into 0
5.104 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
5.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.105 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.105 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0
5.105 * [taylor]: Taking taylor expansion of 0 in re
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.107 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
5.109 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
5.109 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
5.109 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
5.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.109 * [taylor]: Taking taylor expansion of 2.0 in re
5.109 * [backup-simplify]: Simplify 2.0 into 2.0
5.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.110 * [taylor]: Taking taylor expansion of (sqrt 2) in re
5.110 * [taylor]: Taking taylor expansion of 2 in re
5.110 * [backup-simplify]: Simplify 2 into 2
5.110 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.111 * [taylor]: Taking taylor expansion of (sqrt re) in re
5.111 * [taylor]: Taking taylor expansion of re in re
5.111 * [backup-simplify]: Simplify 0 into 0
5.111 * [backup-simplify]: Simplify 1 into 1
5.111 * [backup-simplify]: Simplify (sqrt 0) into 0
5.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.114 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
5.115 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
5.115 * [backup-simplify]: Simplify 0 into 0
5.115 * [backup-simplify]: Simplify 0 into 0
5.117 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
5.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.118 * [backup-simplify]: Simplify (+ 0 0) into 0
5.119 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
5.120 * [backup-simplify]: Simplify (- 0) into 0
5.120 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
5.120 * [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))
5.122 * [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))))
5.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.124 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
5.126 * [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
5.126 * [taylor]: Taking taylor expansion of 0 in re
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
5.131 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.134 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.134 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
5.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.138 * [backup-simplify]: Simplify (+ 0 0) into 0
5.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
5.138 * [backup-simplify]: Simplify (- 0) into 0
5.139 * [backup-simplify]: Simplify (+ 0 0) into 0
5.139 * [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
5.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0
5.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.147 * [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)))))
5.147 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
5.147 * [taylor]: Taking taylor expansion of 1/4 in re
5.147 * [backup-simplify]: Simplify 1/4 into 1/4
5.147 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
5.147 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
5.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.147 * [taylor]: Taking taylor expansion of 2.0 in re
5.147 * [backup-simplify]: Simplify 2.0 into 2.0
5.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.148 * [taylor]: Taking taylor expansion of (sqrt 2) in re
5.148 * [taylor]: Taking taylor expansion of 2 in re
5.148 * [backup-simplify]: Simplify 2 into 2
5.149 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.151 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
5.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
5.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
5.151 * [taylor]: Taking taylor expansion of (pow re 3) in re
5.151 * [taylor]: Taking taylor expansion of re in re
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 1 into 1
5.151 * [backup-simplify]: Simplify (* 1 1) into 1
5.152 * [backup-simplify]: Simplify (* 1 1) into 1
5.152 * [backup-simplify]: Simplify (/ 1 1) into 1
5.157 * [backup-simplify]: Simplify (sqrt 0) into 0
5.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.166 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
5.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.170 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
5.174 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.179 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.180 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
5.186 * [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))))
5.188 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
5.188 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.192 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
5.194 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.196 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
5.202 * [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)))))))))
5.202 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) (sqrt (- (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)))))
5.202 * [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
5.202 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
5.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.203 * [taylor]: Taking taylor expansion of 2.0 in re
5.203 * [backup-simplify]: Simplify 2.0 into 2.0
5.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.203 * [taylor]: Taking taylor expansion of im in re
5.203 * [backup-simplify]: Simplify im into im
5.204 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
5.204 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
5.204 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
5.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.204 * [taylor]: Taking taylor expansion of im in re
5.204 * [backup-simplify]: Simplify im into im
5.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.204 * [taylor]: Taking taylor expansion of re in re
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 1 into 1
5.204 * [backup-simplify]: Simplify (* 1 1) into 1
5.205 * [backup-simplify]: Simplify (/ 1 1) into 1
5.205 * [backup-simplify]: Simplify (+ 0 1) into 1
5.205 * [backup-simplify]: Simplify (sqrt 1) into 1
5.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.206 * [backup-simplify]: Simplify (+ 0 0) into 0
5.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.207 * [taylor]: Taking taylor expansion of re in re
5.207 * [backup-simplify]: Simplify 0 into 0
5.207 * [backup-simplify]: Simplify 1 into 1
5.207 * [backup-simplify]: Simplify (/ 1 1) into 1
5.207 * [backup-simplify]: Simplify (- 1) into -1
5.207 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.208 * [backup-simplify]: Simplify (- 0) into 0
5.208 * [backup-simplify]: Simplify (+ 0 0) into 0
5.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.209 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
5.210 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.211 * [backup-simplify]: Simplify (- 0) into 0
5.211 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.211 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
5.212 * [backup-simplify]: Simplify (sqrt 0) into 0
5.212 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
5.212 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.212 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.212 * [taylor]: Taking taylor expansion of 2.0 in im
5.212 * [backup-simplify]: Simplify 2.0 into 2.0
5.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.214 * [taylor]: Taking taylor expansion of im in im
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.215 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.215 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.215 * [taylor]: Taking taylor expansion of im in im
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (* 1 1) into 1
5.216 * [backup-simplify]: Simplify (/ 1 1) into 1
5.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.216 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.216 * [taylor]: Taking taylor expansion of re in im
5.216 * [backup-simplify]: Simplify re into re
5.216 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.216 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.216 * [backup-simplify]: Simplify (+ 1 0) into 1
5.217 * [backup-simplify]: Simplify (sqrt 1) into 1
5.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.218 * [backup-simplify]: Simplify (+ 0 0) into 0
5.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.219 * [taylor]: Taking taylor expansion of re in im
5.219 * [backup-simplify]: Simplify re into re
5.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.220 * [backup-simplify]: Simplify (+ 1 0) into 1
5.220 * [backup-simplify]: Simplify (/ 1 1) into 1
5.220 * [backup-simplify]: Simplify (sqrt 0) into 0
5.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.222 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
5.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.222 * [taylor]: Taking taylor expansion of 2.0 in im
5.222 * [backup-simplify]: Simplify 2.0 into 2.0
5.222 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.223 * [taylor]: Taking taylor expansion of im in im
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify 1 into 1
5.224 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
5.224 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
5.224 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
5.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.224 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.224 * [taylor]: Taking taylor expansion of im in im
5.224 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify 1 into 1
5.225 * [backup-simplify]: Simplify (* 1 1) into 1
5.225 * [backup-simplify]: Simplify (/ 1 1) into 1
5.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.225 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.225 * [taylor]: Taking taylor expansion of re in im
5.225 * [backup-simplify]: Simplify re into re
5.225 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.225 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.226 * [backup-simplify]: Simplify (+ 1 0) into 1
5.226 * [backup-simplify]: Simplify (sqrt 1) into 1
5.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.228 * [backup-simplify]: Simplify (+ 0 0) into 0
5.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.229 * [taylor]: Taking taylor expansion of re in im
5.229 * [backup-simplify]: Simplify re into re
5.229 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.229 * [backup-simplify]: Simplify (+ 1 0) into 1
5.230 * [backup-simplify]: Simplify (/ 1 1) into 1
5.230 * [backup-simplify]: Simplify (sqrt 0) into 0
5.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.232 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.232 * [taylor]: Taking taylor expansion of 0 in re
5.232 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.235 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.235 * [taylor]: Taking taylor expansion of +nan.0 in re
5.235 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.235 * [taylor]: Taking taylor expansion of 2.0 in re
5.235 * [backup-simplify]: Simplify 2.0 into 2.0
5.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.236 * [backup-simplify]: Simplify 0 into 0
5.236 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
5.236 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
5.238 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
5.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.242 * [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)))))
5.242 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.242 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.242 * [taylor]: Taking taylor expansion of +nan.0 in re
5.242 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.242 * [taylor]: Taking taylor expansion of 2.0 in re
5.242 * [backup-simplify]: Simplify 2.0 into 2.0
5.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.243 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.243 * [taylor]: Taking taylor expansion of +nan.0 in re
5.243 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.243 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.243 * [taylor]: Taking taylor expansion of 2.0 in re
5.243 * [backup-simplify]: Simplify 2.0 into 2.0
5.244 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.245 * [taylor]: Taking taylor expansion of re in re
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.246 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.248 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.250 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.252 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.254 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.255 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.256 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.258 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.258 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.261 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.262 * [backup-simplify]: Simplify (- 0) into 0
5.262 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.263 * [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))))
5.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.268 * [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)))))))
5.268 * [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
5.268 * [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
5.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.268 * [taylor]: Taking taylor expansion of +nan.0 in re
5.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.268 * [taylor]: Taking taylor expansion of 2.0 in re
5.268 * [backup-simplify]: Simplify 2.0 into 2.0
5.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.269 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.269 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.269 * [taylor]: Taking taylor expansion of +nan.0 in re
5.269 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.270 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.270 * [taylor]: Taking taylor expansion of 2.0 in re
5.270 * [backup-simplify]: Simplify 2.0 into 2.0
5.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.271 * [taylor]: Taking taylor expansion of re in re
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (* 1 1) into 1
5.272 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.272 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.272 * [taylor]: Taking taylor expansion of +nan.0 in re
5.272 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.272 * [taylor]: Taking taylor expansion of 2.0 in re
5.272 * [backup-simplify]: Simplify 2.0 into 2.0
5.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.274 * [taylor]: Taking taylor expansion of re in re
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.278 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.288 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.290 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.293 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.295 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.297 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.302 * [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))))))))
5.303 * [backup-simplify]: Simplify (/ (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
5.303 * [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
5.303 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
5.303 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
5.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.303 * [taylor]: Taking taylor expansion of 2.0 in re
5.303 * [backup-simplify]: Simplify 2.0 into 2.0
5.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.304 * [taylor]: Taking taylor expansion of im in re
5.304 * [backup-simplify]: Simplify im into im
5.305 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
5.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
5.305 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
5.305 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
5.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.305 * [taylor]: Taking taylor expansion of re in re
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 1 into 1
5.305 * [backup-simplify]: Simplify (/ 1 1) into 1
5.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
5.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
5.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.305 * [taylor]: Taking taylor expansion of im in re
5.305 * [backup-simplify]: Simplify im into im
5.306 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.306 * [taylor]: Taking taylor expansion of re in re
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 1 into 1
5.306 * [backup-simplify]: Simplify (* 1 1) into 1
5.307 * [backup-simplify]: Simplify (/ 1 1) into 1
5.307 * [backup-simplify]: Simplify (+ 0 1) into 1
5.307 * [backup-simplify]: Simplify (sqrt 1) into 1
5.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.309 * [backup-simplify]: Simplify (+ 0 0) into 0
5.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.310 * [backup-simplify]: Simplify (+ 1 1) into 2
5.311 * [backup-simplify]: Simplify (/ 1 2) into 1/2
5.311 * [backup-simplify]: Simplify (sqrt 0) into 0
5.312 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
5.312 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.312 * [taylor]: Taking taylor expansion of 2.0 in im
5.313 * [backup-simplify]: Simplify 2.0 into 2.0
5.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.314 * [taylor]: Taking taylor expansion of im in im
5.314 * [backup-simplify]: Simplify 0 into 0
5.314 * [backup-simplify]: Simplify 1 into 1
5.315 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.315 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.315 * [taylor]: Taking taylor expansion of re in im
5.315 * [backup-simplify]: Simplify re into re
5.315 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.315 * [taylor]: Taking taylor expansion of im in im
5.315 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [backup-simplify]: Simplify (* 1 1) into 1
5.316 * [backup-simplify]: Simplify (/ 1 1) into 1
5.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.316 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.316 * [taylor]: Taking taylor expansion of re in im
5.316 * [backup-simplify]: Simplify re into re
5.316 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.316 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.317 * [backup-simplify]: Simplify (+ 1 0) into 1
5.317 * [backup-simplify]: Simplify (sqrt 1) into 1
5.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.319 * [backup-simplify]: Simplify (+ 0 0) into 0
5.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.320 * [backup-simplify]: Simplify (+ 0 1) into 1
5.320 * [backup-simplify]: Simplify (/ 1 1) into 1
5.321 * [backup-simplify]: Simplify (sqrt 0) into 0
5.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.322 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
5.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.322 * [taylor]: Taking taylor expansion of 2.0 in im
5.322 * [backup-simplify]: Simplify 2.0 into 2.0
5.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.323 * [taylor]: Taking taylor expansion of im in im
5.323 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
5.324 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
5.324 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
5.324 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.324 * [taylor]: Taking taylor expansion of re in im
5.324 * [backup-simplify]: Simplify re into re
5.324 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
5.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
5.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.325 * [taylor]: Taking taylor expansion of im in im
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [backup-simplify]: Simplify (* 1 1) into 1
5.325 * [backup-simplify]: Simplify (/ 1 1) into 1
5.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.325 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.325 * [taylor]: Taking taylor expansion of re in im
5.325 * [backup-simplify]: Simplify re into re
5.325 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.326 * [backup-simplify]: Simplify (+ 1 0) into 1
5.326 * [backup-simplify]: Simplify (sqrt 1) into 1
5.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.328 * [backup-simplify]: Simplify (+ 0 0) into 0
5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.329 * [backup-simplify]: Simplify (+ 0 1) into 1
5.330 * [backup-simplify]: Simplify (/ 1 1) into 1
5.330 * [backup-simplify]: Simplify (sqrt 0) into 0
5.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.332 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.332 * [taylor]: Taking taylor expansion of 0 in re
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.335 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.335 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
5.335 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.335 * [taylor]: Taking taylor expansion of +nan.0 in re
5.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.335 * [taylor]: Taking taylor expansion of 2.0 in re
5.335 * [backup-simplify]: Simplify 2.0 into 2.0
5.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.337 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.339 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.341 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.341 * [backup-simplify]: Simplify 0 into 0
5.341 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
5.342 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
5.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.346 * [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)))))
5.346 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.347 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.347 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.347 * [taylor]: Taking taylor expansion of +nan.0 in re
5.347 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.347 * [taylor]: Taking taylor expansion of 2.0 in re
5.347 * [backup-simplify]: Simplify 2.0 into 2.0
5.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.348 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.348 * [taylor]: Taking taylor expansion of +nan.0 in re
5.348 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.348 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.348 * [taylor]: Taking taylor expansion of 2.0 in re
5.348 * [backup-simplify]: Simplify 2.0 into 2.0
5.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.349 * [taylor]: Taking taylor expansion of re in re
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.351 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.353 * [backup-simplify]: Simplify (- 0) into 0
5.355 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.357 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.358 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.359 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.360 * [backup-simplify]: Simplify (- 0) into 0
5.360 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.362 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
5.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.363 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
5.365 * [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))))
5.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.370 * [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)))))))
5.370 * [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
5.370 * [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
5.370 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
5.370 * [taylor]: Taking taylor expansion of +nan.0 in re
5.370 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.370 * [taylor]: Taking taylor expansion of 2.0 in re
5.370 * [backup-simplify]: Simplify 2.0 into 2.0
5.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.371 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
5.371 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
5.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
5.372 * [taylor]: Taking taylor expansion of +nan.0 in re
5.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.372 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
5.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.372 * [taylor]: Taking taylor expansion of 2.0 in re
5.372 * [backup-simplify]: Simplify 2.0 into 2.0
5.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.373 * [taylor]: Taking taylor expansion of re in re
5.373 * [backup-simplify]: Simplify 0 into 0
5.373 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (* 1 1) into 1
5.374 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.374 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
5.374 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
5.374 * [taylor]: Taking taylor expansion of +nan.0 in re
5.374 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.374 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
5.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.374 * [taylor]: Taking taylor expansion of 2.0 in re
5.374 * [backup-simplify]: Simplify 2.0 into 2.0
5.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.376 * [taylor]: Taking taylor expansion of re in re
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 1 into 1
5.377 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.377 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.383 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.385 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.385 * [backup-simplify]: Simplify (- 0) into 0
5.386 * [backup-simplify]: Simplify (+ 0 0) into 0
5.386 * [backup-simplify]: Simplify (- 0) into 0
5.388 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.390 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.391 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.396 * [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)))))))
5.397 * * * [progress]: simplifying candidates
5.400 * [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 (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0)))
  (sqrt (* im im))
  (sqrt 2.0)
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (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)
  (- (log (sqrt (* (* im im) 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* (* im im) 2.0)) (sqrt (* (* im im) 2.0))) (sqrt (* (* im im) 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* im im) 2.0) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) 1)
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* im im)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* im im)) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) 1)
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt 1))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 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)))))))
5.408 * * [simplify]: Extracting # 0 : cost  0
5.408 * * [simplify]: Extracting # 1 : cost  0
5.408 * * [simplify]: Extracting # 2 : cost  0
5.409 * * [simplify]: Extracting # 3 : cost  0
5.409 * * [simplify]: Extracting # 4 : cost  0
5.410 * * [simplify]: Extracting # 5 : cost  0
5.410 * * [simplify]: Extracting # 6 : cost  0
5.411 * * [simplify]: Extracting # 7 : cost  0
5.411 * * [simplify]: Extracting # 8 : cost  0
5.412 * * [simplify]: Extracting # 9 : cost  0
5.412 * * [simplify]: Extracting # 10 : cost  0
5.412 * * [simplify]: Extracting # 11 : cost  0
5.413 * * [simplify]: Extracting # 12 : cost  0
5.413 * * [simplify]: iteration  0 :  195  enodes  (cost  2643 )
5.496 * * [simplify]: Extracting # 0 : cost  0
5.496 * * [simplify]: Extracting # 1 : cost  0
5.497 * * [simplify]: Extracting # 2 : cost  0
5.497 * * [simplify]: Extracting # 3 : cost  0
5.498 * * [simplify]: Extracting # 4 : cost  0
5.498 * * [simplify]: iteration  1 :  393  enodes  (cost  2410 )
5.696 * * [simplify]: Extracting # 0 : cost  0
5.699 * * [simplify]: Extracting # 1 : cost  0
5.701 * * [simplify]: Extracting # 2 : cost  0
5.704 * * [simplify]: Extracting # 3 : cost  0
5.706 * * [simplify]: Extracting # 4 : cost  0
5.708 * * [simplify]: iteration  2 :  1018  enodes  (cost  2314 )
6.403 * * [simplify]: Extracting # 0 : cost  0
6.409 * * [simplify]: Extracting # 1 : cost  0
6.415 * * [simplify]: Extracting # 2 : cost  0
6.428 * * [simplify]: Extracting # 3 : cost  0
6.434 * * [simplify]: Extracting # 4 : cost  0
6.440 * * [simplify]: iteration  3 :  2860  enodes  (cost  2285 )
7.878 * * [simplify]: Extracting # 0 : cost  0
7.890 * * [simplify]: Extracting # 1 : cost  0
7.900 * * [simplify]: Extracting # 2 : cost  0
7.920 * * [simplify]: Extracting # 3 : cost  0
7.930 * * [simplify]: Extracting # 4 : cost  0
7.936 * * [simplify]: iteration done:  5002  enodes  (cost  2279 )
7.937 * [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 (* (* im im) 2.0)))
  (exp (sqrt (* (* im im) 2.0)))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (cbrt (sqrt (* (* im im) 2.0)))
  (pow (sqrt (* (* im im) 2.0)) 3)
  (fabs im)
  (sqrt 2.0)
  1/2
  1/2
  1/2
  (sqrt (sqrt (* (* im im) 2.0)))
  (sqrt (sqrt (* (* im im) 2.0)))
  (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 (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)
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im)
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (* im im) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (cbrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* (* im im) 2.0)))
  (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (* im im) 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (* im im) 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (* im im) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (* im im) 2.0)))
  (/ (sqrt (* (* im im) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (* im im) 2.0)) (fabs im))
  im
  re
  (- re)
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (- (* (sqrt 2.0) im))
  (- im re)
  0
  (* -2 re)
  (* +nan.0 (+ (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re))) (- (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))))
  (- (* +nan.0 (- (sqrt 2.0) (* (/ (sqrt 2.0) im) (- re (/ re im))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0))))
7.938 * * * [progress]: adding candidates to table
8.415 * * [progress]: iteration 3 / 4
8.415 * * * [progress]: picking best candidate
8.457 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
8.457 * * * [progress]: localizing error
8.490 * * * [progress]: generating rewritten candidates
8.490 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
8.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
8.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
8.724 * * * [progress]: generating series expansions
8.724 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
8.724 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
8.724 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
8.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.724 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.724 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.724 * [taylor]: Taking taylor expansion of re in im
8.724 * [backup-simplify]: Simplify re into re
8.724 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.724 * [taylor]: Taking taylor expansion of im in im
8.724 * [backup-simplify]: Simplify 0 into 0
8.724 * [backup-simplify]: Simplify 1 into 1
8.724 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.724 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.724 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.724 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.725 * [backup-simplify]: Simplify (+ 0 0) into 0
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.725 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.725 * [taylor]: Taking taylor expansion of re in re
8.725 * [backup-simplify]: Simplify 0 into 0
8.725 * [backup-simplify]: Simplify 1 into 1
8.725 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.725 * [taylor]: Taking taylor expansion of im in re
8.725 * [backup-simplify]: Simplify im into im
8.725 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.725 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.726 * [backup-simplify]: Simplify (+ 0 0) into 0
8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.726 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.726 * [taylor]: Taking taylor expansion of re in re
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.726 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.726 * [taylor]: Taking taylor expansion of im in re
8.726 * [backup-simplify]: Simplify im into im
8.726 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.726 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.727 * [backup-simplify]: Simplify (+ 0 0) into 0
8.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.727 * [taylor]: Taking taylor expansion of im in im
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 1 into 1
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [taylor]: Taking taylor expansion of 0 in im
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (* 1 1) into 1
8.728 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.728 * [backup-simplify]: Simplify (+ 1 0) into 1
8.729 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.729 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.729 * [taylor]: Taking taylor expansion of 1/2 in im
8.729 * [backup-simplify]: Simplify 1/2 into 1/2
8.729 * [taylor]: Taking taylor expansion of im in im
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 1 into 1
8.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.731 * [backup-simplify]: Simplify (+ 0 0) into 0
8.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.731 * [taylor]: Taking taylor expansion of 0 in im
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.732 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.732 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.732 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.732 * [taylor]: Taking taylor expansion of im in im
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 1 into 1
8.733 * [backup-simplify]: Simplify (* 1 1) into 1
8.733 * [backup-simplify]: Simplify (/ 1 1) into 1
8.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.733 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.733 * [taylor]: Taking taylor expansion of re in im
8.733 * [backup-simplify]: Simplify re into re
8.733 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.733 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.733 * [backup-simplify]: Simplify (+ 1 0) into 1
8.734 * [backup-simplify]: Simplify (sqrt 1) into 1
8.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.735 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.735 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.735 * [taylor]: Taking taylor expansion of im in re
8.735 * [backup-simplify]: Simplify im into im
8.735 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.735 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.735 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.736 * [taylor]: Taking taylor expansion of re in re
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (* 1 1) into 1
8.736 * [backup-simplify]: Simplify (/ 1 1) into 1
8.736 * [backup-simplify]: Simplify (+ 0 1) into 1
8.736 * [backup-simplify]: Simplify (sqrt 1) into 1
8.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.738 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.738 * [taylor]: Taking taylor expansion of im in re
8.738 * [backup-simplify]: Simplify im into im
8.738 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.738 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.738 * [taylor]: Taking taylor expansion of re in re
8.738 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify 1 into 1
8.739 * [backup-simplify]: Simplify (* 1 1) into 1
8.739 * [backup-simplify]: Simplify (/ 1 1) into 1
8.739 * [backup-simplify]: Simplify (+ 0 1) into 1
8.739 * [backup-simplify]: Simplify (sqrt 1) into 1
8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.740 * [backup-simplify]: Simplify (+ 0 0) into 0
8.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.741 * [taylor]: Taking taylor expansion of 1 in im
8.741 * [backup-simplify]: Simplify 1 into 1
8.741 * [taylor]: Taking taylor expansion of 0 in im
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify 1 into 1
8.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.742 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.743 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.743 * [taylor]: Taking taylor expansion of 1/2 in im
8.743 * [backup-simplify]: Simplify 1/2 into 1/2
8.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.743 * [taylor]: Taking taylor expansion of im in im
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [backup-simplify]: Simplify (* 1 1) into 1
8.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.746 * [backup-simplify]: Simplify (+ 0 0) into 0
8.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.746 * [taylor]: Taking taylor expansion of 0 in im
8.746 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.748 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.749 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
8.749 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
8.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.749 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.749 * [taylor]: Taking taylor expansion of im in im
8.749 * [backup-simplify]: Simplify 0 into 0
8.749 * [backup-simplify]: Simplify 1 into 1
8.749 * [backup-simplify]: Simplify (* 1 1) into 1
8.750 * [backup-simplify]: Simplify (/ 1 1) into 1
8.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.750 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.750 * [taylor]: Taking taylor expansion of re in im
8.750 * [backup-simplify]: Simplify re into re
8.750 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.750 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.750 * [backup-simplify]: Simplify (+ 1 0) into 1
8.751 * [backup-simplify]: Simplify (sqrt 1) into 1
8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (+ 0 0) into 0
8.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.753 * [taylor]: Taking taylor expansion of im in re
8.754 * [backup-simplify]: Simplify im into im
8.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.754 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.754 * [taylor]: Taking taylor expansion of re in re
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.754 * [backup-simplify]: Simplify (* 1 1) into 1
8.755 * [backup-simplify]: Simplify (/ 1 1) into 1
8.755 * [backup-simplify]: Simplify (+ 0 1) into 1
8.756 * [backup-simplify]: Simplify (sqrt 1) into 1
8.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.757 * [backup-simplify]: Simplify (+ 0 0) into 0
8.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.758 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.758 * [taylor]: Taking taylor expansion of im in re
8.758 * [backup-simplify]: Simplify im into im
8.758 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.759 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.759 * [taylor]: Taking taylor expansion of re in re
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 1 into 1
8.759 * [backup-simplify]: Simplify (* 1 1) into 1
8.760 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [backup-simplify]: Simplify (+ 0 1) into 1
8.761 * [backup-simplify]: Simplify (sqrt 1) into 1
8.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.763 * [backup-simplify]: Simplify (+ 0 0) into 0
8.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.764 * [taylor]: Taking taylor expansion of 1 in im
8.764 * [backup-simplify]: Simplify 1 into 1
8.764 * [taylor]: Taking taylor expansion of 0 in im
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 1 into 1
8.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.766 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.767 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.767 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.767 * [taylor]: Taking taylor expansion of 1/2 in im
8.767 * [backup-simplify]: Simplify 1/2 into 1/2
8.767 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.767 * [taylor]: Taking taylor expansion of im in im
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.768 * [backup-simplify]: Simplify (* 1 1) into 1
8.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.773 * [backup-simplify]: Simplify (+ 0 0) into 0
8.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.773 * [taylor]: Taking taylor expansion of 0 in im
8.773 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
8.776 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
8.776 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
8.776 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.776 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.776 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.776 * [taylor]: Taking taylor expansion of re in im
8.776 * [backup-simplify]: Simplify re into re
8.776 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.776 * [taylor]: Taking taylor expansion of im in im
8.776 * [backup-simplify]: Simplify 0 into 0
8.776 * [backup-simplify]: Simplify 1 into 1
8.776 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.776 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.776 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.776 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.776 * [backup-simplify]: Simplify (+ 0 0) into 0
8.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.777 * [taylor]: Taking taylor expansion of re in im
8.777 * [backup-simplify]: Simplify re into re
8.777 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.777 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.777 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.777 * [taylor]: Taking taylor expansion of re in re
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 1 into 1
8.777 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.777 * [taylor]: Taking taylor expansion of im in re
8.777 * [backup-simplify]: Simplify im into im
8.777 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.777 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.777 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.777 * [backup-simplify]: Simplify (+ 0 0) into 0
8.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.777 * [taylor]: Taking taylor expansion of re in re
8.777 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.778 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.778 * [taylor]: Taking taylor expansion of re in re
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.778 * [taylor]: Taking taylor expansion of im in re
8.778 * [backup-simplify]: Simplify im into im
8.778 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.778 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.778 * [backup-simplify]: Simplify (+ 0 0) into 0
8.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.778 * [taylor]: Taking taylor expansion of re in re
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.779 * [backup-simplify]: Simplify (- 0) into 0
8.779 * [backup-simplify]: Simplify (+ im 0) into im
8.779 * [taylor]: Taking taylor expansion of im in im
8.779 * [backup-simplify]: Simplify 0 into 0
8.779 * [backup-simplify]: Simplify 1 into 1
8.779 * [backup-simplify]: Simplify 0 into 0
8.779 * [backup-simplify]: Simplify (- 1) into -1
8.779 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.779 * [taylor]: Taking taylor expansion of -1 in im
8.779 * [backup-simplify]: Simplify -1 into -1
8.779 * [backup-simplify]: Simplify -1 into -1
8.779 * [backup-simplify]: Simplify 1 into 1
8.780 * [backup-simplify]: Simplify (* 1 1) into 1
8.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.780 * [backup-simplify]: Simplify (+ 1 0) into 1
8.781 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.781 * [backup-simplify]: Simplify (- 0) into 0
8.781 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.781 * [taylor]: Taking taylor expansion of 1/2 in im
8.781 * [backup-simplify]: Simplify 1/2 into 1/2
8.781 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.781 * [taylor]: Taking taylor expansion of im in im
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 1 into 1
8.781 * [backup-simplify]: Simplify (/ 1 1) into 1
8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.782 * [backup-simplify]: Simplify 0 into 0
8.782 * [backup-simplify]: Simplify 0 into 0
8.782 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.783 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.783 * [backup-simplify]: Simplify (+ 0 0) into 0
8.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.784 * [backup-simplify]: Simplify (- 0) into 0
8.784 * [backup-simplify]: Simplify (+ 0 0) into 0
8.784 * [taylor]: Taking taylor expansion of 0 in im
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.785 * [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))
8.785 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
8.785 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.785 * [taylor]: Taking taylor expansion of im in im
8.785 * [backup-simplify]: Simplify 0 into 0
8.786 * [backup-simplify]: Simplify 1 into 1
8.786 * [backup-simplify]: Simplify (* 1 1) into 1
8.786 * [backup-simplify]: Simplify (/ 1 1) into 1
8.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.786 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.786 * [taylor]: Taking taylor expansion of re in im
8.786 * [backup-simplify]: Simplify re into re
8.786 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.786 * [backup-simplify]: Simplify (+ 1 0) into 1
8.787 * [backup-simplify]: Simplify (sqrt 1) into 1
8.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.788 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.788 * [taylor]: Taking taylor expansion of re in im
8.788 * [backup-simplify]: Simplify re into re
8.788 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.788 * [taylor]: Taking taylor expansion of im in re
8.788 * [backup-simplify]: Simplify im into im
8.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.789 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.789 * [taylor]: Taking taylor expansion of re in re
8.789 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify 1 into 1
8.789 * [backup-simplify]: Simplify (* 1 1) into 1
8.789 * [backup-simplify]: Simplify (/ 1 1) into 1
8.789 * [backup-simplify]: Simplify (+ 0 1) into 1
8.790 * [backup-simplify]: Simplify (sqrt 1) into 1
8.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.791 * [backup-simplify]: Simplify (+ 0 0) into 0
8.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.791 * [taylor]: Taking taylor expansion of re in re
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify 1 into 1
8.791 * [backup-simplify]: Simplify (/ 1 1) into 1
8.791 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.791 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.791 * [taylor]: Taking taylor expansion of im in re
8.791 * [backup-simplify]: Simplify im into im
8.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.792 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.792 * [taylor]: Taking taylor expansion of re in re
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [backup-simplify]: Simplify (* 1 1) into 1
8.792 * [backup-simplify]: Simplify (/ 1 1) into 1
8.792 * [backup-simplify]: Simplify (+ 0 1) into 1
8.793 * [backup-simplify]: Simplify (sqrt 1) into 1
8.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.798 * [backup-simplify]: Simplify (+ 0 0) into 0
8.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.798 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.798 * [taylor]: Taking taylor expansion of re in re
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify 1 into 1
8.798 * [backup-simplify]: Simplify (/ 1 1) into 1
8.799 * [backup-simplify]: Simplify (- 1) into -1
8.799 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.799 * [taylor]: Taking taylor expansion of 0 in im
8.799 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.800 * [backup-simplify]: Simplify (- 0) into 0
8.800 * [backup-simplify]: Simplify (+ 0 0) into 0
8.800 * [taylor]: Taking taylor expansion of 0 in im
8.800 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify 0 into 0
8.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.801 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.802 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.803 * [backup-simplify]: Simplify (- 0) into 0
8.803 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.803 * [taylor]: Taking taylor expansion of 1/2 in im
8.803 * [backup-simplify]: Simplify 1/2 into 1/2
8.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.803 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.803 * [taylor]: Taking taylor expansion of im in im
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.804 * [backup-simplify]: Simplify (/ 1 1) into 1
8.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.806 * [backup-simplify]: Simplify (+ 0 0) into 0
8.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (- 0) into 0
8.808 * [backup-simplify]: Simplify (+ 0 0) into 0
8.808 * [taylor]: Taking taylor expansion of 0 in im
8.808 * [backup-simplify]: Simplify 0 into 0
8.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.809 * [backup-simplify]: Simplify 0 into 0
8.809 * [backup-simplify]: Simplify 0 into 0
8.809 * [backup-simplify]: Simplify 0 into 0
8.810 * [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)))))
8.810 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
8.810 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
8.810 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.810 * [taylor]: Taking taylor expansion of re in im
8.810 * [backup-simplify]: Simplify re into re
8.810 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.810 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.810 * [taylor]: Taking taylor expansion of im in im
8.810 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify 1 into 1
8.810 * [backup-simplify]: Simplify (* 1 1) into 1
8.811 * [backup-simplify]: Simplify (/ 1 1) into 1
8.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.811 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.811 * [taylor]: Taking taylor expansion of re in im
8.811 * [backup-simplify]: Simplify re into re
8.811 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.811 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.811 * [backup-simplify]: Simplify (+ 1 0) into 1
8.811 * [backup-simplify]: Simplify (sqrt 1) into 1
8.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (+ 0 0) into 0
8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.813 * [taylor]: Taking taylor expansion of re in re
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.813 * [backup-simplify]: Simplify (/ 1 1) into 1
8.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.813 * [taylor]: Taking taylor expansion of im in re
8.813 * [backup-simplify]: Simplify im into im
8.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.813 * [taylor]: Taking taylor expansion of re in re
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (* 1 1) into 1
8.814 * [backup-simplify]: Simplify (/ 1 1) into 1
8.814 * [backup-simplify]: Simplify (+ 0 1) into 1
8.814 * [backup-simplify]: Simplify (sqrt 1) into 1
8.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.815 * [backup-simplify]: Simplify (+ 0 0) into 0
8.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.816 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
8.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.816 * [taylor]: Taking taylor expansion of re in re
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [backup-simplify]: Simplify (/ 1 1) into 1
8.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.816 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.816 * [taylor]: Taking taylor expansion of im in re
8.816 * [backup-simplify]: Simplify im into im
8.816 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.816 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.817 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.817 * [taylor]: Taking taylor expansion of re in re
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [backup-simplify]: Simplify (* 1 1) into 1
8.817 * [backup-simplify]: Simplify (/ 1 1) into 1
8.817 * [backup-simplify]: Simplify (+ 0 1) into 1
8.818 * [backup-simplify]: Simplify (sqrt 1) into 1
8.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.819 * [backup-simplify]: Simplify (+ 0 0) into 0
8.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.819 * [backup-simplify]: Simplify (+ 1 1) into 2
8.819 * [taylor]: Taking taylor expansion of 2 in im
8.819 * [backup-simplify]: Simplify 2 into 2
8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.821 * [backup-simplify]: Simplify (+ 0 0) into 0
8.821 * [taylor]: Taking taylor expansion of 0 in im
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 2 into 2
8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.824 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.825 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.825 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.826 * [taylor]: Taking taylor expansion of 1/2 in im
8.826 * [backup-simplify]: Simplify 1/2 into 1/2
8.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.826 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.826 * [taylor]: Taking taylor expansion of im in im
8.826 * [backup-simplify]: Simplify 0 into 0
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [backup-simplify]: Simplify (* 1 1) into 1
8.826 * [backup-simplify]: Simplify (/ 1 1) into 1
8.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.833 * [backup-simplify]: Simplify (+ 0 0) into 0
8.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.834 * [backup-simplify]: Simplify (+ 0 0) into 0
8.834 * [taylor]: Taking taylor expansion of 0 in im
8.834 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.836 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.837 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.837 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in (im) around 0
8.837 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.837 * [taylor]: Taking taylor expansion of (fabs im) in im
8.837 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.837 * [taylor]: Taking taylor expansion of 2.0 in im
8.837 * [backup-simplify]: Simplify 2.0 into 2.0
8.837 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.837 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.837 * [taylor]: Taking taylor expansion of (fabs im) in im
8.838 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.838 * [taylor]: Taking taylor expansion of 2.0 in im
8.838 * [backup-simplify]: Simplify 2.0 into 2.0
8.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.839 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.839 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.839 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.839 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.840 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.842 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.842 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.843 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.843 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.845 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.845 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.847 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.847 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.847 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in (im) around 0
8.847 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.847 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.847 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.847 * [taylor]: Taking taylor expansion of 2.0 in im
8.847 * [backup-simplify]: Simplify 2.0 into 2.0
8.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.848 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.848 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.848 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.848 * [taylor]: Taking taylor expansion of 2.0 in im
8.848 * [backup-simplify]: Simplify 2.0 into 2.0
8.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.849 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.850 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.850 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.850 * [backup-simplify]: Simplify 0 into 0
8.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.851 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.851 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.853 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.854 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
8.854 * [backup-simplify]: Simplify 0 into 0
8.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.856 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.857 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))))) into 0
8.857 * [backup-simplify]: Simplify 0 into 0
8.858 * [backup-simplify]: Simplify (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.858 * [backup-simplify]: Simplify (* (fabs (/ 1 (- im))) (sqrt 2.0)) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.858 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in (im) around 0
8.858 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.858 * [taylor]: Taking taylor expansion of 2.0 in im
8.858 * [backup-simplify]: Simplify 2.0 into 2.0
8.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.859 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.859 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.859 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
8.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.859 * [taylor]: Taking taylor expansion of 2.0 in im
8.859 * [backup-simplify]: Simplify 2.0 into 2.0
8.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.860 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
8.860 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
8.860 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.860 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
8.861 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.862 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
8.862 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.864 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
8.864 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.865 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0
8.865 * [backup-simplify]: Simplify 0 into 0
8.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.867 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0
8.867 * [backup-simplify]: Simplify 0 into 0
8.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.871 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))))) into 0
8.871 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))) into (* (fabs im) (sqrt 2.0))
8.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.873 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))))
8.873 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0
8.873 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re
8.873 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.873 * [taylor]: Taking taylor expansion of (fabs im) in re
8.873 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.873 * [taylor]: Taking taylor expansion of 2.0 in re
8.873 * [backup-simplify]: Simplify 2.0 into 2.0
8.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re
8.874 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re
8.874 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
8.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
8.874 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
8.874 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.874 * [taylor]: Taking taylor expansion of re in re
8.874 * [backup-simplify]: Simplify 0 into 0
8.874 * [backup-simplify]: Simplify 1 into 1
8.875 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.875 * [taylor]: Taking taylor expansion of im in re
8.875 * [backup-simplify]: Simplify im into im
8.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.875 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.875 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.875 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.876 * [backup-simplify]: Simplify (+ 0 0) into 0
8.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.876 * [taylor]: Taking taylor expansion of re in re
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify 1 into 1
8.876 * [backup-simplify]: Simplify (- 0) into 0
8.876 * [backup-simplify]: Simplify (+ im 0) into im
8.876 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.877 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
8.877 * [backup-simplify]: Simplify (- 1) into -1
8.877 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
8.878 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
8.878 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.878 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.878 * [taylor]: Taking taylor expansion of (fabs im) in im
8.878 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.878 * [taylor]: Taking taylor expansion of 2.0 in im
8.878 * [backup-simplify]: Simplify 2.0 into 2.0
8.879 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.879 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.879 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.880 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.880 * [taylor]: Taking taylor expansion of re in im
8.880 * [backup-simplify]: Simplify re into re
8.880 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.880 * [taylor]: Taking taylor expansion of im in im
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [backup-simplify]: Simplify 1 into 1
8.880 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.880 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.880 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.880 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.881 * [backup-simplify]: Simplify (+ 0 0) into 0
8.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.881 * [taylor]: Taking taylor expansion of re in im
8.881 * [backup-simplify]: Simplify re into re
8.881 * [backup-simplify]: Simplify (- re) into (- re)
8.881 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.882 * [backup-simplify]: Simplify (- 0) into 0
8.882 * [backup-simplify]: Simplify (+ 0 0) into 0
8.883 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.883 * [backup-simplify]: Simplify (* 1 1) into 1
8.883 * [backup-simplify]: Simplify (+ 0 1) into 1
8.884 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.885 * [backup-simplify]: Simplify (- 0) into 0
8.885 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.885 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.885 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.886 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.887 * [backup-simplify]: Simplify (+ 0 0) into 0
8.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.887 * [backup-simplify]: Simplify (- 0) into 0
8.888 * [backup-simplify]: Simplify (+ 0 0) into 0
8.888 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.888 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im
8.888 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im
8.888 * [taylor]: Taking taylor expansion of (fabs im) in im
8.888 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.888 * [taylor]: Taking taylor expansion of 2.0 in im
8.888 * [backup-simplify]: Simplify 2.0 into 2.0
8.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im
8.889 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im
8.889 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
8.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
8.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
8.890 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.890 * [taylor]: Taking taylor expansion of re in im
8.890 * [backup-simplify]: Simplify re into re
8.890 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.890 * [taylor]: Taking taylor expansion of im in im
8.890 * [backup-simplify]: Simplify 0 into 0
8.890 * [backup-simplify]: Simplify 1 into 1
8.890 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.890 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.890 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.890 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.891 * [backup-simplify]: Simplify (+ 0 0) into 0
8.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.891 * [taylor]: Taking taylor expansion of re in im
8.891 * [backup-simplify]: Simplify re into re
8.891 * [backup-simplify]: Simplify (- re) into (- re)
8.891 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.891 * [backup-simplify]: Simplify (- 0) into 0
8.892 * [backup-simplify]: Simplify (+ 0 0) into 0
8.892 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.893 * [backup-simplify]: Simplify (* 1 1) into 1
8.893 * [backup-simplify]: Simplify (+ 0 1) into 1
8.894 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.894 * [backup-simplify]: Simplify (- 0) into 0
8.894 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.894 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.894 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.895 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.896 * [backup-simplify]: Simplify (+ 0 0) into 0
8.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.896 * [backup-simplify]: Simplify (- 0) into 0
8.896 * [backup-simplify]: Simplify (+ 0 0) into 0
8.897 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.897 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.897 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re))
8.898 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re
8.898 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re
8.898 * [taylor]: Taking taylor expansion of (fabs im) in re
8.898 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.898 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
8.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.898 * [taylor]: Taking taylor expansion of 2.0 in re
8.898 * [backup-simplify]: Simplify 2.0 into 2.0
8.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.898 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.898 * [taylor]: Taking taylor expansion of 2 in re
8.898 * [backup-simplify]: Simplify 2 into 2
8.899 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.899 * [taylor]: Taking taylor expansion of (sqrt re) in re
8.899 * [taylor]: Taking taylor expansion of re in re
8.899 * [backup-simplify]: Simplify 0 into 0
8.899 * [backup-simplify]: Simplify 1 into 1
8.899 * [backup-simplify]: Simplify (sqrt 0) into 0
8.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.901 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
8.902 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2)))
8.903 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0
8.903 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.904 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0
8.904 * [taylor]: Taking taylor expansion of 0 in re
8.904 * [backup-simplify]: Simplify 0 into 0
8.904 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
8.909 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0
8.910 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.911 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.912 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
8.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.912 * [backup-simplify]: Simplify (+ 0 0) into 0
8.913 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
8.913 * [backup-simplify]: Simplify (- 0) into 0
8.913 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
8.914 * [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))
8.914 * [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))))
8.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.915 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.917 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
8.917 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
8.917 * [taylor]: Taking taylor expansion of 1/4 in re
8.917 * [backup-simplify]: Simplify 1/4 into 1/4
8.917 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
8.917 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re
8.917 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re
8.917 * [taylor]: Taking taylor expansion of (fabs im) in re
8.917 * [backup-simplify]: Simplify (fabs im) into (fabs im)
8.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.917 * [taylor]: Taking taylor expansion of 2.0 in re
8.917 * [backup-simplify]: Simplify 2.0 into 2.0
8.918 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.918 * [taylor]: Taking taylor expansion of (sqrt 2) in re
8.918 * [taylor]: Taking taylor expansion of 2 in re
8.918 * [backup-simplify]: Simplify 2 into 2
8.918 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.919 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0))
8.919 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))
8.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
8.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
8.920 * [taylor]: Taking taylor expansion of (pow re 3) in re
8.920 * [taylor]: Taking taylor expansion of re in re
8.920 * [backup-simplify]: Simplify 0 into 0
8.920 * [backup-simplify]: Simplify 1 into 1
8.920 * [backup-simplify]: Simplify (* 1 1) into 1
8.920 * [backup-simplify]: Simplify (* 1 1) into 1
8.920 * [backup-simplify]: Simplify (/ 1 1) into 1
8.921 * [backup-simplify]: Simplify (sqrt 0) into 0
8.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.925 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.926 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0
8.928 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
8.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.930 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.934 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
8.935 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.937 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.938 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0
8.940 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.941 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))
8.941 * [backup-simplify]: Simplify 0 into 0
8.944 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.948 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
8.949 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0
8.951 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.953 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2)))))
8.958 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
8.959 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))
8.959 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0
8.959 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re
8.959 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.959 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.959 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.959 * [taylor]: Taking taylor expansion of 2.0 in re
8.959 * [backup-simplify]: Simplify 2.0 into 2.0
8.960 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re
8.961 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re
8.961 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
8.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
8.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
8.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.961 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.961 * [taylor]: Taking taylor expansion of im in re
8.961 * [backup-simplify]: Simplify im into im
8.961 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.961 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.961 * [taylor]: Taking taylor expansion of re in re
8.961 * [backup-simplify]: Simplify 0 into 0
8.961 * [backup-simplify]: Simplify 1 into 1
8.962 * [backup-simplify]: Simplify (* 1 1) into 1
8.962 * [backup-simplify]: Simplify (/ 1 1) into 1
8.963 * [backup-simplify]: Simplify (+ 0 1) into 1
8.963 * [backup-simplify]: Simplify (sqrt 1) into 1
8.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.965 * [backup-simplify]: Simplify (+ 0 0) into 0
8.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.965 * [taylor]: Taking taylor expansion of re in re
8.966 * [backup-simplify]: Simplify 0 into 0
8.966 * [backup-simplify]: Simplify 1 into 1
8.966 * [backup-simplify]: Simplify (/ 1 1) into 1
8.966 * [backup-simplify]: Simplify (- 1) into -1
8.967 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (- 0) into 0
8.968 * [backup-simplify]: Simplify (+ 0 0) into 0
8.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.970 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
8.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.973 * [backup-simplify]: Simplify (- 0) into 0
8.973 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.974 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
8.974 * [backup-simplify]: Simplify (sqrt 0) into 0
8.975 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
8.975 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.975 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.975 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.975 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.975 * [taylor]: Taking taylor expansion of 2.0 in im
8.975 * [backup-simplify]: Simplify 2.0 into 2.0
8.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.976 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.976 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.976 * [taylor]: Taking taylor expansion of im in im
8.976 * [backup-simplify]: Simplify 0 into 0
8.977 * [backup-simplify]: Simplify 1 into 1
8.977 * [backup-simplify]: Simplify (* 1 1) into 1
8.977 * [backup-simplify]: Simplify (/ 1 1) into 1
8.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.977 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.977 * [taylor]: Taking taylor expansion of re in im
8.977 * [backup-simplify]: Simplify re into re
8.978 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.978 * [backup-simplify]: Simplify (+ 1 0) into 1
8.979 * [backup-simplify]: Simplify (sqrt 1) into 1
8.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.980 * [backup-simplify]: Simplify (+ 0 0) into 0
8.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.981 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.981 * [taylor]: Taking taylor expansion of re in im
8.981 * [backup-simplify]: Simplify re into re
8.981 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.982 * [backup-simplify]: Simplify (+ 1 0) into 1
8.982 * [backup-simplify]: Simplify (/ 1 1) into 1
8.982 * [backup-simplify]: Simplify (sqrt 0) into 0
8.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.983 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im
8.983 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im
8.983 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im
8.984 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.984 * [taylor]: Taking taylor expansion of 2.0 in im
8.984 * [backup-simplify]: Simplify 2.0 into 2.0
8.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im
8.985 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im
8.985 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
8.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
8.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
8.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.985 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.985 * [taylor]: Taking taylor expansion of im in im
8.985 * [backup-simplify]: Simplify 0 into 0
8.985 * [backup-simplify]: Simplify 1 into 1
8.986 * [backup-simplify]: Simplify (* 1 1) into 1
8.986 * [backup-simplify]: Simplify (/ 1 1) into 1
8.986 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.986 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.986 * [taylor]: Taking taylor expansion of re in im
8.986 * [backup-simplify]: Simplify re into re
8.986 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.986 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.987 * [backup-simplify]: Simplify (+ 1 0) into 1
8.987 * [backup-simplify]: Simplify (sqrt 1) into 1
8.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.989 * [backup-simplify]: Simplify (+ 0 0) into 0
8.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.990 * [taylor]: Taking taylor expansion of re in im
8.990 * [backup-simplify]: Simplify re into re
8.990 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.990 * [backup-simplify]: Simplify (+ 1 0) into 1
8.991 * [backup-simplify]: Simplify (/ 1 1) into 1
8.991 * [backup-simplify]: Simplify (sqrt 0) into 0
8.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.993 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
8.994 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0
8.994 * [taylor]: Taking taylor expansion of 0 in re
8.994 * [backup-simplify]: Simplify 0 into 0
8.995 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
8.996 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
8.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re
8.996 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
8.996 * [taylor]: Taking taylor expansion of +nan.0 in re
8.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.996 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
8.996 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
8.996 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
8.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.996 * [taylor]: Taking taylor expansion of 2.0 in re
8.996 * [backup-simplify]: Simplify 2.0 into 2.0
8.996 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.997 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
8.998 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
8.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
8.999 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
9.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.001 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
9.003 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))
9.003 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
9.003 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
9.003 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
9.003 * [taylor]: Taking taylor expansion of +nan.0 in re
9.003 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.003 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
9.003 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
9.003 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
9.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.003 * [taylor]: Taking taylor expansion of 2.0 in re
9.003 * [backup-simplify]: Simplify 2.0 into 2.0
9.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.004 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
9.004 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
9.004 * [taylor]: Taking taylor expansion of +nan.0 in re
9.004 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.004 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
9.004 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
9.005 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
9.005 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
9.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.005 * [taylor]: Taking taylor expansion of 2.0 in re
9.005 * [backup-simplify]: Simplify 2.0 into 2.0
9.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.006 * [taylor]: Taking taylor expansion of re in re
9.006 * [backup-simplify]: Simplify 0 into 0
9.006 * [backup-simplify]: Simplify 1 into 1
9.006 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.007 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.007 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
9.008 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.008 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.008 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.009 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.009 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.009 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
9.010 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.010 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.010 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.011 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
9.012 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.012 * [backup-simplify]: Simplify (- 0) into 0
9.013 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
9.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
9.013 * [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))))
9.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.015 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
9.016 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (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 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))))
9.016 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re
9.016 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re
9.016 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re
9.016 * [taylor]: Taking taylor expansion of +nan.0 in re
9.016 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.016 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
9.016 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
9.016 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
9.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.016 * [taylor]: Taking taylor expansion of 2.0 in re
9.016 * [backup-simplify]: Simplify 2.0 into 2.0
9.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.017 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re
9.017 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re
9.017 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re
9.017 * [taylor]: Taking taylor expansion of +nan.0 in re
9.017 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.017 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re
9.017 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
9.017 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
9.017 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
9.017 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.017 * [taylor]: Taking taylor expansion of 2.0 in re
9.017 * [backup-simplify]: Simplify 2.0 into 2.0
9.018 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.018 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.018 * [taylor]: Taking taylor expansion of re in re
9.018 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify 1 into 1
9.018 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.019 * [backup-simplify]: Simplify (* 1 1) into 1
9.019 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.019 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re
9.019 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re
9.019 * [taylor]: Taking taylor expansion of +nan.0 in re
9.019 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.019 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re
9.019 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re
9.019 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re
9.019 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im))
9.019 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.019 * [taylor]: Taking taylor expansion of 2.0 in re
9.019 * [backup-simplify]: Simplify 2.0 into 2.0
9.019 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.020 * [taylor]: Taking taylor expansion of re in re
9.020 * [backup-simplify]: Simplify 0 into 0
9.020 * [backup-simplify]: Simplify 1 into 1
9.020 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.021 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0))
9.021 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0
9.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0
9.023 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0
9.023 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))
9.024 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.024 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.024 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.025 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.025 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.025 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))
9.027 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
9.027 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 (- im))) (sqrt 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))
9.028 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0
9.028 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re
9.028 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.028 * [taylor]: Taking taylor expansion of 2.0 in re
9.028 * [backup-simplify]: Simplify 2.0 into 2.0
9.028 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.028 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.028 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re
9.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re
9.028 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
9.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.029 * [taylor]: Taking taylor expansion of re in re
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 1 into 1
9.029 * [backup-simplify]: Simplify (/ 1 1) into 1
9.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
9.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.029 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.029 * [taylor]: Taking taylor expansion of im in re
9.029 * [backup-simplify]: Simplify im into im
9.029 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.029 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.029 * [taylor]: Taking taylor expansion of re in re
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify 1 into 1
9.029 * [backup-simplify]: Simplify (* 1 1) into 1
9.030 * [backup-simplify]: Simplify (/ 1 1) into 1
9.030 * [backup-simplify]: Simplify (+ 0 1) into 1
9.030 * [backup-simplify]: Simplify (sqrt 1) into 1
9.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (+ 0 0) into 0
9.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.032 * [backup-simplify]: Simplify (+ 1 1) into 2
9.036 * [backup-simplify]: Simplify (/ 1 2) into 1/2
9.036 * [backup-simplify]: Simplify (sqrt 0) into 0
9.038 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
9.038 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
9.038 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
9.038 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.038 * [taylor]: Taking taylor expansion of 2.0 in im
9.038 * [backup-simplify]: Simplify 2.0 into 2.0
9.038 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
9.039 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
9.040 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.040 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.040 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.040 * [taylor]: Taking taylor expansion of re in im
9.040 * [backup-simplify]: Simplify re into re
9.040 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.040 * [taylor]: Taking taylor expansion of im in im
9.040 * [backup-simplify]: Simplify 0 into 0
9.040 * [backup-simplify]: Simplify 1 into 1
9.040 * [backup-simplify]: Simplify (* 1 1) into 1
9.041 * [backup-simplify]: Simplify (/ 1 1) into 1
9.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.041 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.041 * [taylor]: Taking taylor expansion of re in im
9.041 * [backup-simplify]: Simplify re into re
9.041 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.041 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.042 * [backup-simplify]: Simplify (+ 1 0) into 1
9.042 * [backup-simplify]: Simplify (sqrt 1) into 1
9.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.044 * [backup-simplify]: Simplify (+ 0 0) into 0
9.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.045 * [backup-simplify]: Simplify (+ 0 1) into 1
9.046 * [backup-simplify]: Simplify (/ 1 1) into 1
9.046 * [backup-simplify]: Simplify (sqrt 0) into 0
9.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.048 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im
9.048 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im
9.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.048 * [taylor]: Taking taylor expansion of 2.0 in im
9.048 * [backup-simplify]: Simplify 2.0 into 2.0
9.048 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.049 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im
9.049 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im
9.049 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im
9.049 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
9.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.049 * [taylor]: Taking taylor expansion of re in im
9.049 * [backup-simplify]: Simplify re into re
9.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
9.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
9.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.049 * [taylor]: Taking taylor expansion of im in im
9.049 * [backup-simplify]: Simplify 0 into 0
9.049 * [backup-simplify]: Simplify 1 into 1
9.050 * [backup-simplify]: Simplify (* 1 1) into 1
9.050 * [backup-simplify]: Simplify (/ 1 1) into 1
9.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.050 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.050 * [taylor]: Taking taylor expansion of re in im
9.050 * [backup-simplify]: Simplify re into re
9.050 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.051 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.051 * [backup-simplify]: Simplify (+ 1 0) into 1
9.051 * [backup-simplify]: Simplify (sqrt 1) into 1
9.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.052 * [backup-simplify]: Simplify (+ 0 0) into 0
9.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.053 * [backup-simplify]: Simplify (+ 0 1) into 1
9.053 * [backup-simplify]: Simplify (/ 1 1) into 1
9.054 * [backup-simplify]: Simplify (sqrt 0) into 0
9.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.055 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.055 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0
9.055 * [taylor]: Taking taylor expansion of 0 in re
9.055 * [backup-simplify]: Simplify 0 into 0
9.055 * [backup-simplify]: Simplify 0 into 0
9.055 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
9.056 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
9.056 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
9.056 * [taylor]: Taking taylor expansion of +nan.0 in re
9.056 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.056 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.056 * [taylor]: Taking taylor expansion of 2.0 in re
9.056 * [backup-simplify]: Simplify 2.0 into 2.0
9.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.057 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.057 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.057 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.058 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
9.058 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.058 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.058 * [backup-simplify]: Simplify 0 into 0
9.058 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
9.059 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
9.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.060 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
9.061 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))
9.062 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
9.062 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
9.062 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
9.062 * [taylor]: Taking taylor expansion of +nan.0 in re
9.062 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.062 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
9.062 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.062 * [taylor]: Taking taylor expansion of 2.0 in re
9.062 * [backup-simplify]: Simplify 2.0 into 2.0
9.062 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.062 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.062 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.062 * [taylor]: Taking taylor expansion of re in re
9.063 * [backup-simplify]: Simplify 0 into 0
9.063 * [backup-simplify]: Simplify 1 into 1
9.063 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.063 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.063 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
9.063 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
9.063 * [taylor]: Taking taylor expansion of +nan.0 in re
9.063 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.063 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.063 * [taylor]: Taking taylor expansion of 2.0 in re
9.063 * [backup-simplify]: Simplify 2.0 into 2.0
9.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.064 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.064 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.064 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
9.066 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
9.066 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.066 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
9.067 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.067 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.067 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.068 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.068 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
9.069 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
9.069 * [backup-simplify]: Simplify (- 0) into 0
9.069 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2))
9.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.071 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
9.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
9.072 * [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))))
9.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.074 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0
9.075 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))))
9.075 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re
9.075 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re
9.075 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re
9.075 * [taylor]: Taking taylor expansion of +nan.0 in re
9.075 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.075 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re
9.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.075 * [taylor]: Taking taylor expansion of 2.0 in re
9.075 * [backup-simplify]: Simplify 2.0 into 2.0
9.076 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.076 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.076 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.076 * [taylor]: Taking taylor expansion of re in re
9.076 * [backup-simplify]: Simplify 0 into 0
9.076 * [backup-simplify]: Simplify 1 into 1
9.077 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.077 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.077 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re
9.077 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re
9.077 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re
9.077 * [taylor]: Taking taylor expansion of +nan.0 in re
9.077 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.077 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re
9.077 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.077 * [taylor]: Taking taylor expansion of 2.0 in re
9.077 * [backup-simplify]: Simplify 2.0 into 2.0
9.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.078 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.078 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.078 * [taylor]: Taking taylor expansion of re in re
9.078 * [backup-simplify]: Simplify 0 into 0
9.078 * [backup-simplify]: Simplify 1 into 1
9.078 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.078 * [backup-simplify]: Simplify (* 1 1) into 1
9.079 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.079 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re
9.079 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re
9.079 * [taylor]: Taking taylor expansion of +nan.0 in re
9.079 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.079 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re
9.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.079 * [taylor]: Taking taylor expansion of 2.0 in re
9.079 * [backup-simplify]: Simplify 2.0 into 2.0
9.079 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.080 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re
9.080 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im))
9.080 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
9.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
9.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0
9.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.083 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0
9.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.084 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0
9.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0
9.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.089 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0
9.089 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im)))
9.090 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))
9.090 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.091 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.092 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.092 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.093 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.094 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))
9.096 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
9.096 * * * [progress]: simplifying candidates
9.099 * [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)))
  (- 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)
  (* (fabs im) (sqrt 2.0))
  (+ (log (fabs im)) (log (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs im) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) (sqrt 1))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (* (fabs im) 1)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (log (fabs im)) (log (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (log (* (fabs im) (sqrt 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (* (fabs im) (sqrt 2.0)) (* (fabs im) (sqrt 2.0))) (* (fabs im) (sqrt 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt 1))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (fabs im) (sqrt 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (* (fabs im) (sqrt 2.0))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))))))
  (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))))))
9.105 * * [simplify]: Extracting # 0 : cost  0
9.105 * * [simplify]: Extracting # 1 : cost  0
9.106 * * [simplify]: Extracting # 2 : cost  0
9.106 * * [simplify]: Extracting # 3 : cost  0
9.107 * * [simplify]: Extracting # 4 : cost  0
9.107 * * [simplify]: Extracting # 5 : cost  0
9.107 * * [simplify]: Extracting # 6 : cost  0
9.108 * * [simplify]: Extracting # 7 : cost  0
9.108 * * [simplify]: Extracting # 8 : cost  0
9.109 * * [simplify]: Extracting # 9 : cost  0
9.109 * * [simplify]: Extracting # 10 : cost  0
9.110 * * [simplify]: Extracting # 11 : cost  0
9.110 * * [simplify]: Extracting # 12 : cost  0
9.111 * * [simplify]: Extracting # 13 : cost  0
9.111 * * [simplify]: Extracting # 14 : cost  0
9.112 * * [simplify]: Extracting # 15 : cost  0
9.112 * * [simplify]: Extracting # 16 : cost  0
9.113 * * [simplify]: iteration  0 :  193  enodes  (cost  1652 )
9.201 * * [simplify]: Extracting # 0 : cost  0
9.202 * * [simplify]: Extracting # 1 : cost  0
9.203 * * [simplify]: Extracting # 2 : cost  0
9.205 * * [simplify]: Extracting # 3 : cost  0
9.206 * * [simplify]: Extracting # 4 : cost  0
9.207 * * [simplify]: iteration  1 :  449  enodes  (cost  1480 )
9.462 * * [simplify]: Extracting # 0 : cost  0
9.464 * * [simplify]: Extracting # 1 : cost  0
9.466 * * [simplify]: Extracting # 2 : cost  0
9.468 * * [simplify]: Extracting # 3 : cost  0
9.470 * * [simplify]: Extracting # 4 : cost  0
9.472 * * [simplify]: iteration  2 :  1618  enodes  (cost  1364 )
10.865 * * [simplify]: Extracting # 0 : cost  0
10.873 * * [simplify]: Extracting # 1 : cost  0
10.886 * * [simplify]: Extracting # 2 : cost  0
10.893 * * [simplify]: Extracting # 3 : cost  0
10.904 * * [simplify]: Extracting # 4 : cost  0
10.915 * * [simplify]: iteration done:  5000  enodes  (cost  1333 )
10.916 * [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 (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (+ (* im im) 0)
  (+ (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)
  (* (sqrt 2.0) (fabs im))
  (log (* (fabs im) (sqrt 2.0)))
  (log (* (fabs im) (sqrt 2.0)))
  (exp (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (* (cbrt (* (fabs im) (sqrt 2.0))) (cbrt (* (fabs im) (sqrt 2.0))))
  (cbrt (* (fabs im) (sqrt 2.0)))
  (pow (* (sqrt 2.0) (fabs im)) 3)
  (sqrt (* (fabs im) (sqrt 2.0)))
  (sqrt (* (fabs im) (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (sqrt (fabs im)) (sqrt (sqrt 2.0)))
  (* (fabs im) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (fabs im))
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (fabs im) (sqrt (sqrt 2.0)))
  (fabs im)
  (* (cbrt (fabs im)) (sqrt 2.0))
  (* (sqrt (fabs im)) (sqrt 2.0))
  (* (sqrt 2.0) (fabs im))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (* (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (pow (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 3)
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (* (fabs im) (sqrt 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (* (fabs im) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0)))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (sqrt 2.0) (fabs im))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (fabs im))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt 2.0) (/ (sqrt (+ (* im im) 0)) (fabs im)))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* (sqrt 2.0) (fabs im))
  (* +nan.0 (+ (- (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))
  (+ (/ +nan.0 (/ im (* (sqrt 2.0) (fabs im)))) (- (* (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)) (+ (/ +nan.0 im) +nan.0))))
  (* +nan.0 (+ (* (/ (fabs im) im) (- (sqrt 2.0) (/ (sqrt 2.0) im))) (- (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))))
10.917 * * * [progress]: adding candidates to table
11.220 * * [progress]: iteration 4 / 4
11.220 * * * [progress]: picking best candidate
11.255 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
11.255 * * * [progress]: localizing error
11.299 * * * [progress]: generating rewritten candidates
11.299 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
11.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
11.332 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
11.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
11.475 * * * [progress]: generating series expansions
11.475 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
11.475 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
11.475 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
11.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.475 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.475 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.475 * [taylor]: Taking taylor expansion of re in im
11.476 * [backup-simplify]: Simplify re into re
11.476 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.476 * [taylor]: Taking taylor expansion of im in im
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 1 into 1
11.476 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.476 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.477 * [backup-simplify]: Simplify (+ 0 0) into 0
11.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.477 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.477 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.477 * [taylor]: Taking taylor expansion of re in re
11.477 * [backup-simplify]: Simplify 0 into 0
11.477 * [backup-simplify]: Simplify 1 into 1
11.477 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.477 * [taylor]: Taking taylor expansion of im in re
11.477 * [backup-simplify]: Simplify im into im
11.477 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.478 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.478 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.478 * [backup-simplify]: Simplify (+ 0 0) into 0
11.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.479 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.479 * [taylor]: Taking taylor expansion of re in re
11.479 * [backup-simplify]: Simplify 0 into 0
11.479 * [backup-simplify]: Simplify 1 into 1
11.479 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.479 * [taylor]: Taking taylor expansion of im in re
11.479 * [backup-simplify]: Simplify im into im
11.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.479 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.480 * [backup-simplify]: Simplify (+ 0 0) into 0
11.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.480 * [taylor]: Taking taylor expansion of im in im
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify 1 into 1
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [taylor]: Taking taylor expansion of 0 in im
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify 1 into 1
11.481 * [backup-simplify]: Simplify (* 1 1) into 1
11.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.482 * [backup-simplify]: Simplify (+ 1 0) into 1
11.482 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.483 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.483 * [taylor]: Taking taylor expansion of 1/2 in im
11.483 * [backup-simplify]: Simplify 1/2 into 1/2
11.483 * [taylor]: Taking taylor expansion of im in im
11.483 * [backup-simplify]: Simplify 0 into 0
11.483 * [backup-simplify]: Simplify 1 into 1
11.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.484 * [backup-simplify]: Simplify 0 into 0
11.484 * [backup-simplify]: Simplify 0 into 0
11.484 * [backup-simplify]: Simplify 0 into 0
11.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.486 * [backup-simplify]: Simplify (+ 0 0) into 0
11.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.486 * [taylor]: Taking taylor expansion of 0 in im
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 0 into 0
11.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.487 * [backup-simplify]: Simplify 0 into 0
11.488 * [backup-simplify]: Simplify 0 into 0
11.488 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.488 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.488 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.488 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.488 * [taylor]: Taking taylor expansion of im in im
11.488 * [backup-simplify]: Simplify 0 into 0
11.488 * [backup-simplify]: Simplify 1 into 1
11.489 * [backup-simplify]: Simplify (* 1 1) into 1
11.489 * [backup-simplify]: Simplify (/ 1 1) into 1
11.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.489 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.489 * [taylor]: Taking taylor expansion of re in im
11.489 * [backup-simplify]: Simplify re into re
11.489 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.489 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.490 * [backup-simplify]: Simplify (+ 1 0) into 1
11.490 * [backup-simplify]: Simplify (sqrt 1) into 1
11.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.492 * [backup-simplify]: Simplify (+ 0 0) into 0
11.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.493 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.493 * [taylor]: Taking taylor expansion of im in re
11.493 * [backup-simplify]: Simplify im into im
11.493 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.493 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.493 * [taylor]: Taking taylor expansion of re in re
11.493 * [backup-simplify]: Simplify 0 into 0
11.493 * [backup-simplify]: Simplify 1 into 1
11.494 * [backup-simplify]: Simplify (* 1 1) into 1
11.494 * [backup-simplify]: Simplify (/ 1 1) into 1
11.495 * [backup-simplify]: Simplify (+ 0 1) into 1
11.495 * [backup-simplify]: Simplify (sqrt 1) into 1
11.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.497 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.498 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.498 * [taylor]: Taking taylor expansion of im in re
11.498 * [backup-simplify]: Simplify im into im
11.498 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.498 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.498 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.498 * [taylor]: Taking taylor expansion of re in re
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.499 * [backup-simplify]: Simplify (* 1 1) into 1
11.499 * [backup-simplify]: Simplify (/ 1 1) into 1
11.500 * [backup-simplify]: Simplify (+ 0 1) into 1
11.500 * [backup-simplify]: Simplify (sqrt 1) into 1
11.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.502 * [backup-simplify]: Simplify (+ 0 0) into 0
11.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.503 * [taylor]: Taking taylor expansion of 1 in im
11.503 * [backup-simplify]: Simplify 1 into 1
11.503 * [taylor]: Taking taylor expansion of 0 in im
11.503 * [backup-simplify]: Simplify 0 into 0
11.503 * [backup-simplify]: Simplify 1 into 1
11.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.505 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.507 * [taylor]: Taking taylor expansion of 1/2 in im
11.507 * [backup-simplify]: Simplify 1/2 into 1/2
11.507 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.507 * [taylor]: Taking taylor expansion of im in im
11.507 * [backup-simplify]: Simplify 0 into 0
11.507 * [backup-simplify]: Simplify 1 into 1
11.507 * [backup-simplify]: Simplify (* 1 1) into 1
11.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.509 * [backup-simplify]: Simplify 0 into 0
11.510 * [backup-simplify]: Simplify 0 into 0
11.510 * [backup-simplify]: Simplify 0 into 0
11.510 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.513 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.514 * [taylor]: Taking taylor expansion of 0 in im
11.514 * [backup-simplify]: Simplify 0 into 0
11.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.516 * [backup-simplify]: Simplify 0 into 0
11.516 * [backup-simplify]: Simplify 0 into 0
11.516 * [backup-simplify]: Simplify 0 into 0
11.516 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.516 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.516 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.517 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.517 * [taylor]: Taking taylor expansion of im in im
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (* 1 1) into 1
11.517 * [backup-simplify]: Simplify (/ 1 1) into 1
11.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.517 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.518 * [taylor]: Taking taylor expansion of re in im
11.518 * [backup-simplify]: Simplify re into re
11.518 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.518 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.518 * [backup-simplify]: Simplify (+ 1 0) into 1
11.524 * [backup-simplify]: Simplify (sqrt 1) into 1
11.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.526 * [backup-simplify]: Simplify (+ 0 0) into 0
11.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.527 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.527 * [taylor]: Taking taylor expansion of im in re
11.527 * [backup-simplify]: Simplify im into im
11.528 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.528 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.528 * [taylor]: Taking taylor expansion of re in re
11.528 * [backup-simplify]: Simplify 0 into 0
11.528 * [backup-simplify]: Simplify 1 into 1
11.528 * [backup-simplify]: Simplify (* 1 1) into 1
11.529 * [backup-simplify]: Simplify (/ 1 1) into 1
11.529 * [backup-simplify]: Simplify (+ 0 1) into 1
11.530 * [backup-simplify]: Simplify (sqrt 1) into 1
11.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.531 * [backup-simplify]: Simplify (+ 0 0) into 0
11.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.532 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.532 * [taylor]: Taking taylor expansion of im in re
11.533 * [backup-simplify]: Simplify im into im
11.533 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.533 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.533 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.533 * [taylor]: Taking taylor expansion of re in re
11.533 * [backup-simplify]: Simplify 0 into 0
11.533 * [backup-simplify]: Simplify 1 into 1
11.534 * [backup-simplify]: Simplify (* 1 1) into 1
11.534 * [backup-simplify]: Simplify (/ 1 1) into 1
11.535 * [backup-simplify]: Simplify (+ 0 1) into 1
11.535 * [backup-simplify]: Simplify (sqrt 1) into 1
11.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.538 * [taylor]: Taking taylor expansion of 1 in im
11.538 * [backup-simplify]: Simplify 1 into 1
11.538 * [taylor]: Taking taylor expansion of 0 in im
11.538 * [backup-simplify]: Simplify 0 into 0
11.538 * [backup-simplify]: Simplify 1 into 1
11.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.541 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.541 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.541 * [taylor]: Taking taylor expansion of 1/2 in im
11.541 * [backup-simplify]: Simplify 1/2 into 1/2
11.541 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.542 * [taylor]: Taking taylor expansion of im in im
11.542 * [backup-simplify]: Simplify 0 into 0
11.542 * [backup-simplify]: Simplify 1 into 1
11.542 * [backup-simplify]: Simplify (* 1 1) into 1
11.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.547 * [backup-simplify]: Simplify (+ 0 0) into 0
11.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.548 * [taylor]: Taking taylor expansion of 0 in im
11.548 * [backup-simplify]: Simplify 0 into 0
11.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.550 * [backup-simplify]: Simplify 0 into 0
11.550 * [backup-simplify]: Simplify 0 into 0
11.550 * [backup-simplify]: Simplify 0 into 0
11.550 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
11.550 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
11.550 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
11.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.551 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.551 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.551 * [taylor]: Taking taylor expansion of re in im
11.551 * [backup-simplify]: Simplify re into re
11.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.551 * [taylor]: Taking taylor expansion of im in im
11.551 * [backup-simplify]: Simplify 0 into 0
11.551 * [backup-simplify]: Simplify 1 into 1
11.551 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.551 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.551 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.551 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.552 * [backup-simplify]: Simplify (+ 0 0) into 0
11.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.552 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.552 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.552 * [taylor]: Taking taylor expansion of re in re
11.552 * [backup-simplify]: Simplify 0 into 0
11.552 * [backup-simplify]: Simplify 1 into 1
11.552 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.552 * [taylor]: Taking taylor expansion of im in re
11.552 * [backup-simplify]: Simplify im into im
11.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.552 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.552 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.553 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.553 * [backup-simplify]: Simplify (+ 0 0) into 0
11.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.553 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.553 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.553 * [taylor]: Taking taylor expansion of re in re
11.553 * [backup-simplify]: Simplify 0 into 0
11.553 * [backup-simplify]: Simplify 1 into 1
11.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.553 * [taylor]: Taking taylor expansion of im in re
11.553 * [backup-simplify]: Simplify im into im
11.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.554 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.554 * [backup-simplify]: Simplify (+ 0 0) into 0
11.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.554 * [taylor]: Taking taylor expansion of im in im
11.554 * [backup-simplify]: Simplify 0 into 0
11.554 * [backup-simplify]: Simplify 1 into 1
11.554 * [backup-simplify]: Simplify 0 into 0
11.554 * [taylor]: Taking taylor expansion of 0 in im
11.555 * [backup-simplify]: Simplify 0 into 0
11.555 * [backup-simplify]: Simplify 0 into 0
11.555 * [backup-simplify]: Simplify 1 into 1
11.555 * [backup-simplify]: Simplify (* 1 1) into 1
11.555 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.556 * [backup-simplify]: Simplify (+ 1 0) into 1
11.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.557 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.557 * [taylor]: Taking taylor expansion of 1/2 in im
11.557 * [backup-simplify]: Simplify 1/2 into 1/2
11.557 * [taylor]: Taking taylor expansion of im in im
11.557 * [backup-simplify]: Simplify 0 into 0
11.557 * [backup-simplify]: Simplify 1 into 1
11.557 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.558 * [backup-simplify]: Simplify 0 into 0
11.558 * [backup-simplify]: Simplify 0 into 0
11.558 * [backup-simplify]: Simplify 0 into 0
11.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.560 * [backup-simplify]: Simplify (+ 0 0) into 0
11.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.560 * [taylor]: Taking taylor expansion of 0 in im
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 0 into 0
11.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.561 * [backup-simplify]: Simplify 0 into 0
11.561 * [backup-simplify]: Simplify 0 into 0
11.561 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.561 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.562 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.562 * [taylor]: Taking taylor expansion of im in im
11.562 * [backup-simplify]: Simplify 0 into 0
11.562 * [backup-simplify]: Simplify 1 into 1
11.562 * [backup-simplify]: Simplify (* 1 1) into 1
11.562 * [backup-simplify]: Simplify (/ 1 1) into 1
11.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.562 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.562 * [taylor]: Taking taylor expansion of re in im
11.562 * [backup-simplify]: Simplify re into re
11.563 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.563 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.563 * [backup-simplify]: Simplify (+ 1 0) into 1
11.563 * [backup-simplify]: Simplify (sqrt 1) into 1
11.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.564 * [backup-simplify]: Simplify (+ 0 0) into 0
11.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.565 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.565 * [taylor]: Taking taylor expansion of im in re
11.565 * [backup-simplify]: Simplify im into im
11.565 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.565 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.565 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.565 * [taylor]: Taking taylor expansion of re in re
11.565 * [backup-simplify]: Simplify 0 into 0
11.565 * [backup-simplify]: Simplify 1 into 1
11.565 * [backup-simplify]: Simplify (* 1 1) into 1
11.566 * [backup-simplify]: Simplify (/ 1 1) into 1
11.566 * [backup-simplify]: Simplify (+ 0 1) into 1
11.566 * [backup-simplify]: Simplify (sqrt 1) into 1
11.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.567 * [backup-simplify]: Simplify (+ 0 0) into 0
11.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.568 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.568 * [taylor]: Taking taylor expansion of im in re
11.568 * [backup-simplify]: Simplify im into im
11.568 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.568 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.568 * [taylor]: Taking taylor expansion of re in re
11.568 * [backup-simplify]: Simplify 0 into 0
11.568 * [backup-simplify]: Simplify 1 into 1
11.568 * [backup-simplify]: Simplify (* 1 1) into 1
11.568 * [backup-simplify]: Simplify (/ 1 1) into 1
11.569 * [backup-simplify]: Simplify (+ 0 1) into 1
11.569 * [backup-simplify]: Simplify (sqrt 1) into 1
11.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.570 * [backup-simplify]: Simplify (+ 0 0) into 0
11.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.570 * [taylor]: Taking taylor expansion of 1 in im
11.570 * [backup-simplify]: Simplify 1 into 1
11.571 * [taylor]: Taking taylor expansion of 0 in im
11.571 * [backup-simplify]: Simplify 0 into 0
11.571 * [backup-simplify]: Simplify 1 into 1
11.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.572 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.573 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.573 * [taylor]: Taking taylor expansion of 1/2 in im
11.573 * [backup-simplify]: Simplify 1/2 into 1/2
11.573 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.573 * [taylor]: Taking taylor expansion of im in im
11.573 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify 1 into 1
11.573 * [backup-simplify]: Simplify (* 1 1) into 1
11.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.576 * [backup-simplify]: Simplify (+ 0 0) into 0
11.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.576 * [taylor]: Taking taylor expansion of 0 in im
11.576 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.578 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
11.578 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
11.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.578 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.578 * [taylor]: Taking taylor expansion of im in im
11.578 * [backup-simplify]: Simplify 0 into 0
11.578 * [backup-simplify]: Simplify 1 into 1
11.578 * [backup-simplify]: Simplify (* 1 1) into 1
11.578 * [backup-simplify]: Simplify (/ 1 1) into 1
11.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.578 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.578 * [taylor]: Taking taylor expansion of re in im
11.578 * [backup-simplify]: Simplify re into re
11.578 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.579 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.579 * [backup-simplify]: Simplify (+ 1 0) into 1
11.579 * [backup-simplify]: Simplify (sqrt 1) into 1
11.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.580 * [backup-simplify]: Simplify (+ 0 0) into 0
11.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.581 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.581 * [taylor]: Taking taylor expansion of im in re
11.581 * [backup-simplify]: Simplify im into im
11.581 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.581 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.581 * [taylor]: Taking taylor expansion of re in re
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify 1 into 1
11.581 * [backup-simplify]: Simplify (* 1 1) into 1
11.581 * [backup-simplify]: Simplify (/ 1 1) into 1
11.582 * [backup-simplify]: Simplify (+ 0 1) into 1
11.582 * [backup-simplify]: Simplify (sqrt 1) into 1
11.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.583 * [backup-simplify]: Simplify (+ 0 0) into 0
11.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.583 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.583 * [taylor]: Taking taylor expansion of im in re
11.583 * [backup-simplify]: Simplify im into im
11.583 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.584 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.584 * [taylor]: Taking taylor expansion of re in re
11.584 * [backup-simplify]: Simplify 0 into 0
11.584 * [backup-simplify]: Simplify 1 into 1
11.584 * [backup-simplify]: Simplify (* 1 1) into 1
11.584 * [backup-simplify]: Simplify (/ 1 1) into 1
11.584 * [backup-simplify]: Simplify (+ 0 1) into 1
11.585 * [backup-simplify]: Simplify (sqrt 1) into 1
11.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.586 * [backup-simplify]: Simplify (+ 0 0) into 0
11.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.586 * [taylor]: Taking taylor expansion of 1 in im
11.586 * [backup-simplify]: Simplify 1 into 1
11.586 * [taylor]: Taking taylor expansion of 0 in im
11.586 * [backup-simplify]: Simplify 0 into 0
11.586 * [backup-simplify]: Simplify 1 into 1
11.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.588 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.588 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.589 * [taylor]: Taking taylor expansion of 1/2 in im
11.589 * [backup-simplify]: Simplify 1/2 into 1/2
11.589 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.589 * [taylor]: Taking taylor expansion of im in im
11.589 * [backup-simplify]: Simplify 0 into 0
11.589 * [backup-simplify]: Simplify 1 into 1
11.589 * [backup-simplify]: Simplify (* 1 1) into 1
11.589 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.592 * [backup-simplify]: Simplify (+ 0 0) into 0
11.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.592 * [taylor]: Taking taylor expansion of 0 in im
11.592 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.593 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
11.594 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
11.594 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
11.594 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
11.594 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.594 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.594 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.594 * [taylor]: Taking taylor expansion of re in im
11.594 * [backup-simplify]: Simplify re into re
11.594 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.594 * [taylor]: Taking taylor expansion of im in im
11.594 * [backup-simplify]: Simplify 0 into 0
11.594 * [backup-simplify]: Simplify 1 into 1
11.594 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.594 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.594 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.594 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.594 * [backup-simplify]: Simplify (+ 0 0) into 0
11.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.594 * [taylor]: Taking taylor expansion of re in im
11.595 * [backup-simplify]: Simplify re into re
11.595 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.595 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.595 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.595 * [taylor]: Taking taylor expansion of re in re
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 1 into 1
11.595 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.595 * [taylor]: Taking taylor expansion of im in re
11.595 * [backup-simplify]: Simplify im into im
11.595 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.595 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.595 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.595 * [backup-simplify]: Simplify (+ 0 0) into 0
11.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.595 * [taylor]: Taking taylor expansion of re in re
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 1 into 1
11.595 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.595 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.595 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.595 * [taylor]: Taking taylor expansion of re in re
11.595 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 1 into 1
11.596 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.596 * [taylor]: Taking taylor expansion of im in re
11.596 * [backup-simplify]: Simplify im into im
11.596 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.596 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.596 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.596 * [backup-simplify]: Simplify (+ 0 0) into 0
11.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.596 * [taylor]: Taking taylor expansion of re in re
11.596 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 1 into 1
11.597 * [backup-simplify]: Simplify (- 0) into 0
11.597 * [backup-simplify]: Simplify (+ im 0) into im
11.597 * [taylor]: Taking taylor expansion of im in im
11.597 * [backup-simplify]: Simplify 0 into 0
11.597 * [backup-simplify]: Simplify 1 into 1
11.597 * [backup-simplify]: Simplify 0 into 0
11.597 * [backup-simplify]: Simplify (- 1) into -1
11.597 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.597 * [taylor]: Taking taylor expansion of -1 in im
11.597 * [backup-simplify]: Simplify -1 into -1
11.597 * [backup-simplify]: Simplify -1 into -1
11.597 * [backup-simplify]: Simplify 1 into 1
11.597 * [backup-simplify]: Simplify (* 1 1) into 1
11.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.598 * [backup-simplify]: Simplify (+ 1 0) into 1
11.598 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.599 * [backup-simplify]: Simplify (- 0) into 0
11.599 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
11.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.599 * [taylor]: Taking taylor expansion of 1/2 in im
11.599 * [backup-simplify]: Simplify 1/2 into 1/2
11.599 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.599 * [taylor]: Taking taylor expansion of im in im
11.599 * [backup-simplify]: Simplify 0 into 0
11.599 * [backup-simplify]: Simplify 1 into 1
11.599 * [backup-simplify]: Simplify (/ 1 1) into 1
11.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.601 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.601 * [backup-simplify]: Simplify (+ 0 0) into 0
11.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.601 * [backup-simplify]: Simplify (- 0) into 0
11.602 * [backup-simplify]: Simplify (+ 0 0) into 0
11.602 * [taylor]: Taking taylor expansion of 0 in im
11.602 * [backup-simplify]: Simplify 0 into 0
11.602 * [backup-simplify]: Simplify 0 into 0
11.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.603 * [backup-simplify]: Simplify 0 into 0
11.603 * [backup-simplify]: Simplify 0 into 0
11.603 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
11.603 * [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))
11.603 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
11.603 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.603 * [taylor]: Taking taylor expansion of im in im
11.603 * [backup-simplify]: Simplify 0 into 0
11.603 * [backup-simplify]: Simplify 1 into 1
11.604 * [backup-simplify]: Simplify (* 1 1) into 1
11.604 * [backup-simplify]: Simplify (/ 1 1) into 1
11.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.604 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.604 * [taylor]: Taking taylor expansion of re in im
11.604 * [backup-simplify]: Simplify re into re
11.604 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.604 * [backup-simplify]: Simplify (+ 1 0) into 1
11.605 * [backup-simplify]: Simplify (sqrt 1) into 1
11.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.606 * [backup-simplify]: Simplify (+ 0 0) into 0
11.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.606 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.606 * [taylor]: Taking taylor expansion of re in im
11.606 * [backup-simplify]: Simplify re into re
11.606 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.606 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.606 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.606 * [taylor]: Taking taylor expansion of im in re
11.606 * [backup-simplify]: Simplify im into im
11.606 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.607 * [taylor]: Taking taylor expansion of re in re
11.607 * [backup-simplify]: Simplify 0 into 0
11.607 * [backup-simplify]: Simplify 1 into 1
11.607 * [backup-simplify]: Simplify (* 1 1) into 1
11.607 * [backup-simplify]: Simplify (/ 1 1) into 1
11.607 * [backup-simplify]: Simplify (+ 0 1) into 1
11.608 * [backup-simplify]: Simplify (sqrt 1) into 1
11.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.609 * [backup-simplify]: Simplify (+ 0 0) into 0
11.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.609 * [taylor]: Taking taylor expansion of re in re
11.609 * [backup-simplify]: Simplify 0 into 0
11.609 * [backup-simplify]: Simplify 1 into 1
11.609 * [backup-simplify]: Simplify (/ 1 1) into 1
11.609 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.610 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.610 * [taylor]: Taking taylor expansion of im in re
11.610 * [backup-simplify]: Simplify im into im
11.610 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.610 * [taylor]: Taking taylor expansion of re in re
11.610 * [backup-simplify]: Simplify 0 into 0
11.610 * [backup-simplify]: Simplify 1 into 1
11.610 * [backup-simplify]: Simplify (* 1 1) into 1
11.610 * [backup-simplify]: Simplify (/ 1 1) into 1
11.611 * [backup-simplify]: Simplify (+ 0 1) into 1
11.611 * [backup-simplify]: Simplify (sqrt 1) into 1
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.612 * [backup-simplify]: Simplify (+ 0 0) into 0
11.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.612 * [taylor]: Taking taylor expansion of re in re
11.612 * [backup-simplify]: Simplify 0 into 0
11.612 * [backup-simplify]: Simplify 1 into 1
11.613 * [backup-simplify]: Simplify (/ 1 1) into 1
11.613 * [backup-simplify]: Simplify (- 1) into -1
11.613 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.613 * [taylor]: Taking taylor expansion of 0 in im
11.613 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.614 * [backup-simplify]: Simplify (- 0) into 0
11.614 * [backup-simplify]: Simplify (+ 0 0) into 0
11.614 * [taylor]: Taking taylor expansion of 0 in im
11.614 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify 0 into 0
11.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.616 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.617 * [backup-simplify]: Simplify (- 0) into 0
11.617 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.617 * [taylor]: Taking taylor expansion of 1/2 in im
11.617 * [backup-simplify]: Simplify 1/2 into 1/2
11.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.618 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.618 * [taylor]: Taking taylor expansion of im in im
11.618 * [backup-simplify]: Simplify 0 into 0
11.618 * [backup-simplify]: Simplify 1 into 1
11.618 * [backup-simplify]: Simplify (* 1 1) into 1
11.618 * [backup-simplify]: Simplify (/ 1 1) into 1
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.619 * [backup-simplify]: Simplify 0 into 0
11.619 * [backup-simplify]: Simplify 0 into 0
11.619 * [backup-simplify]: Simplify 0 into 0
11.620 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.621 * [backup-simplify]: Simplify (+ 0 0) into 0
11.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.622 * [backup-simplify]: Simplify (- 0) into 0
11.622 * [backup-simplify]: Simplify (+ 0 0) into 0
11.622 * [taylor]: Taking taylor expansion of 0 in im
11.623 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [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)))))
11.624 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
11.624 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.625 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.625 * [taylor]: Taking taylor expansion of re in im
11.625 * [backup-simplify]: Simplify re into re
11.625 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.625 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.625 * [taylor]: Taking taylor expansion of im in im
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 1 into 1
11.625 * [backup-simplify]: Simplify (* 1 1) into 1
11.625 * [backup-simplify]: Simplify (/ 1 1) into 1
11.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.625 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.625 * [taylor]: Taking taylor expansion of re in im
11.625 * [backup-simplify]: Simplify re into re
11.625 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.626 * [backup-simplify]: Simplify (+ 1 0) into 1
11.626 * [backup-simplify]: Simplify (sqrt 1) into 1
11.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.627 * [backup-simplify]: Simplify (+ 0 0) into 0
11.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.627 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.627 * [taylor]: Taking taylor expansion of re in re
11.627 * [backup-simplify]: Simplify 0 into 0
11.627 * [backup-simplify]: Simplify 1 into 1
11.628 * [backup-simplify]: Simplify (/ 1 1) into 1
11.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.628 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.628 * [taylor]: Taking taylor expansion of im in re
11.628 * [backup-simplify]: Simplify im into im
11.628 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.628 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.628 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.628 * [taylor]: Taking taylor expansion of re in re
11.628 * [backup-simplify]: Simplify 0 into 0
11.628 * [backup-simplify]: Simplify 1 into 1
11.628 * [backup-simplify]: Simplify (* 1 1) into 1
11.629 * [backup-simplify]: Simplify (/ 1 1) into 1
11.629 * [backup-simplify]: Simplify (+ 0 1) into 1
11.629 * [backup-simplify]: Simplify (sqrt 1) into 1
11.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.630 * [backup-simplify]: Simplify (+ 0 0) into 0
11.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.631 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.631 * [taylor]: Taking taylor expansion of re in re
11.631 * [backup-simplify]: Simplify 0 into 0
11.631 * [backup-simplify]: Simplify 1 into 1
11.631 * [backup-simplify]: Simplify (/ 1 1) into 1
11.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.631 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.631 * [taylor]: Taking taylor expansion of im in re
11.631 * [backup-simplify]: Simplify im into im
11.631 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.631 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.631 * [taylor]: Taking taylor expansion of re in re
11.631 * [backup-simplify]: Simplify 0 into 0
11.631 * [backup-simplify]: Simplify 1 into 1
11.637 * [backup-simplify]: Simplify (* 1 1) into 1
11.638 * [backup-simplify]: Simplify (/ 1 1) into 1
11.638 * [backup-simplify]: Simplify (+ 0 1) into 1
11.639 * [backup-simplify]: Simplify (sqrt 1) into 1
11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.641 * [backup-simplify]: Simplify (+ 0 0) into 0
11.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.642 * [backup-simplify]: Simplify (+ 1 1) into 2
11.642 * [taylor]: Taking taylor expansion of 2 in im
11.642 * [backup-simplify]: Simplify 2 into 2
11.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.643 * [backup-simplify]: Simplify (+ 0 0) into 0
11.643 * [taylor]: Taking taylor expansion of 0 in im
11.643 * [backup-simplify]: Simplify 0 into 0
11.643 * [backup-simplify]: Simplify 2 into 2
11.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.647 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.648 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.648 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.648 * [taylor]: Taking taylor expansion of 1/2 in im
11.648 * [backup-simplify]: Simplify 1/2 into 1/2
11.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.648 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.648 * [taylor]: Taking taylor expansion of im in im
11.648 * [backup-simplify]: Simplify 0 into 0
11.648 * [backup-simplify]: Simplify 1 into 1
11.649 * [backup-simplify]: Simplify (* 1 1) into 1
11.649 * [backup-simplify]: Simplify (/ 1 1) into 1
11.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.651 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify 0 into 0
11.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.655 * [backup-simplify]: Simplify (+ 0 0) into 0
11.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.656 * [backup-simplify]: Simplify (+ 0 0) into 0
11.656 * [taylor]: Taking taylor expansion of 0 in im
11.656 * [backup-simplify]: Simplify 0 into 0
11.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.659 * [backup-simplify]: Simplify 0 into 0
11.659 * [backup-simplify]: Simplify 0 into 0
11.659 * [backup-simplify]: Simplify 0 into 0
11.659 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
11.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
11.660 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re)
11.660 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0
11.660 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im
11.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
11.660 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
11.660 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.660 * [taylor]: Taking taylor expansion of re in im
11.660 * [backup-simplify]: Simplify re into re
11.660 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.660 * [taylor]: Taking taylor expansion of im in im
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 1 into 1
11.660 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.661 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.661 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.661 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.661 * [backup-simplify]: Simplify (+ 0 0) into 0
11.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.661 * [taylor]: Taking taylor expansion of re in im
11.661 * [backup-simplify]: Simplify re into re
11.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.662 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.662 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.662 * [taylor]: Taking taylor expansion of re in re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 1 into 1
11.662 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.662 * [taylor]: Taking taylor expansion of im in re
11.662 * [backup-simplify]: Simplify im into im
11.662 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.662 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.662 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.663 * [backup-simplify]: Simplify (+ 0 0) into 0
11.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.663 * [taylor]: Taking taylor expansion of re in re
11.663 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify 1 into 1
11.663 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re
11.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
11.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
11.663 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.663 * [taylor]: Taking taylor expansion of re in re
11.663 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify 1 into 1
11.663 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.663 * [taylor]: Taking taylor expansion of im in re
11.663 * [backup-simplify]: Simplify im into im
11.663 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.663 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.664 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.664 * [backup-simplify]: Simplify (+ 0 0) into 0
11.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.664 * [taylor]: Taking taylor expansion of re in re
11.664 * [backup-simplify]: Simplify 0 into 0
11.664 * [backup-simplify]: Simplify 1 into 1
11.665 * [backup-simplify]: Simplify (- 0) into 0
11.665 * [backup-simplify]: Simplify (+ im 0) into im
11.665 * [taylor]: Taking taylor expansion of im in im
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify 1 into 1
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify (- 1) into -1
11.666 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.666 * [taylor]: Taking taylor expansion of -1 in im
11.666 * [backup-simplify]: Simplify -1 into -1
11.666 * [backup-simplify]: Simplify -1 into -1
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [backup-simplify]: Simplify (* 1 1) into 1
11.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.667 * [backup-simplify]: Simplify (+ 1 0) into 1
11.668 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.668 * [backup-simplify]: Simplify (- 0) into 0
11.669 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
11.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.669 * [taylor]: Taking taylor expansion of 1/2 in im
11.669 * [backup-simplify]: Simplify 1/2 into 1/2
11.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.669 * [taylor]: Taking taylor expansion of im in im
11.669 * [backup-simplify]: Simplify 0 into 0
11.669 * [backup-simplify]: Simplify 1 into 1
11.669 * [backup-simplify]: Simplify (/ 1 1) into 1
11.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 0 into 0
11.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.672 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.673 * [backup-simplify]: Simplify (+ 0 0) into 0
11.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.673 * [backup-simplify]: Simplify (- 0) into 0
11.674 * [backup-simplify]: Simplify (+ 0 0) into 0
11.674 * [taylor]: Taking taylor expansion of 0 in im
11.674 * [backup-simplify]: Simplify 0 into 0
11.674 * [backup-simplify]: Simplify 0 into 0
11.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
11.677 * [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))
11.677 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0
11.677 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im
11.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.677 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.677 * [taylor]: Taking taylor expansion of im in im
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 1 into 1
11.677 * [backup-simplify]: Simplify (* 1 1) into 1
11.678 * [backup-simplify]: Simplify (/ 1 1) into 1
11.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.678 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.678 * [taylor]: Taking taylor expansion of re in im
11.678 * [backup-simplify]: Simplify re into re
11.678 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.678 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.679 * [backup-simplify]: Simplify (+ 1 0) into 1
11.679 * [backup-simplify]: Simplify (sqrt 1) into 1
11.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.682 * [backup-simplify]: Simplify (+ 0 0) into 0
11.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.682 * [taylor]: Taking taylor expansion of re in im
11.682 * [backup-simplify]: Simplify re into re
11.683 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.683 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.683 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.683 * [taylor]: Taking taylor expansion of im in re
11.683 * [backup-simplify]: Simplify im into im
11.683 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.683 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.683 * [taylor]: Taking taylor expansion of re in re
11.683 * [backup-simplify]: Simplify 0 into 0
11.683 * [backup-simplify]: Simplify 1 into 1
11.684 * [backup-simplify]: Simplify (* 1 1) into 1
11.684 * [backup-simplify]: Simplify (/ 1 1) into 1
11.684 * [backup-simplify]: Simplify (+ 0 1) into 1
11.685 * [backup-simplify]: Simplify (sqrt 1) into 1
11.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.687 * [backup-simplify]: Simplify (+ 0 0) into 0
11.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.688 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.688 * [taylor]: Taking taylor expansion of re in re
11.688 * [backup-simplify]: Simplify 0 into 0
11.688 * [backup-simplify]: Simplify 1 into 1
11.688 * [backup-simplify]: Simplify (/ 1 1) into 1
11.688 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re
11.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.688 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.688 * [taylor]: Taking taylor expansion of im in re
11.688 * [backup-simplify]: Simplify im into im
11.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.689 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.689 * [taylor]: Taking taylor expansion of re in re
11.689 * [backup-simplify]: Simplify 0 into 0
11.689 * [backup-simplify]: Simplify 1 into 1
11.689 * [backup-simplify]: Simplify (* 1 1) into 1
11.689 * [backup-simplify]: Simplify (/ 1 1) into 1
11.690 * [backup-simplify]: Simplify (+ 0 1) into 1
11.690 * [backup-simplify]: Simplify (sqrt 1) into 1
11.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.693 * [backup-simplify]: Simplify (+ 0 0) into 0
11.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.693 * [taylor]: Taking taylor expansion of re in re
11.693 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 1 into 1
11.694 * [backup-simplify]: Simplify (/ 1 1) into 1
11.694 * [backup-simplify]: Simplify (- 1) into -1
11.695 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.695 * [taylor]: Taking taylor expansion of 0 in im
11.695 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.696 * [backup-simplify]: Simplify (- 0) into 0
11.697 * [backup-simplify]: Simplify (+ 0 0) into 0
11.697 * [taylor]: Taking taylor expansion of 0 in im
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify 0 into 0
11.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.699 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.700 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.702 * [backup-simplify]: Simplify (- 0) into 0
11.702 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.702 * [taylor]: Taking taylor expansion of 1/2 in im
11.702 * [backup-simplify]: Simplify 1/2 into 1/2
11.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.702 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.702 * [taylor]: Taking taylor expansion of im in im
11.702 * [backup-simplify]: Simplify 0 into 0
11.702 * [backup-simplify]: Simplify 1 into 1
11.702 * [backup-simplify]: Simplify (* 1 1) into 1
11.703 * [backup-simplify]: Simplify (/ 1 1) into 1
11.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.708 * [backup-simplify]: Simplify (+ 0 0) into 0
11.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.710 * [backup-simplify]: Simplify (- 0) into 0
11.710 * [backup-simplify]: Simplify (+ 0 0) into 0
11.710 * [taylor]: Taking taylor expansion of 0 in im
11.710 * [backup-simplify]: Simplify 0 into 0
11.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.713 * [backup-simplify]: Simplify 0 into 0
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [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)))))
11.714 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
11.714 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
11.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.714 * [taylor]: Taking taylor expansion of re in im
11.714 * [backup-simplify]: Simplify re into re
11.714 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
11.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
11.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.714 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.715 * [taylor]: Taking taylor expansion of im in im
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 1 into 1
11.715 * [backup-simplify]: Simplify (* 1 1) into 1
11.715 * [backup-simplify]: Simplify (/ 1 1) into 1
11.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.715 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.715 * [taylor]: Taking taylor expansion of re in im
11.716 * [backup-simplify]: Simplify re into re
11.716 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.716 * [backup-simplify]: Simplify (+ 1 0) into 1
11.717 * [backup-simplify]: Simplify (sqrt 1) into 1
11.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.718 * [backup-simplify]: Simplify (+ 0 0) into 0
11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.719 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.719 * [taylor]: Taking taylor expansion of re in re
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 1 into 1
11.720 * [backup-simplify]: Simplify (/ 1 1) into 1
11.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.720 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.720 * [taylor]: Taking taylor expansion of im in re
11.720 * [backup-simplify]: Simplify im into im
11.720 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.720 * [taylor]: Taking taylor expansion of re in re
11.720 * [backup-simplify]: Simplify 0 into 0
11.720 * [backup-simplify]: Simplify 1 into 1
11.721 * [backup-simplify]: Simplify (* 1 1) into 1
11.721 * [backup-simplify]: Simplify (/ 1 1) into 1
11.722 * [backup-simplify]: Simplify (+ 0 1) into 1
11.722 * [backup-simplify]: Simplify (sqrt 1) into 1
11.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.724 * [backup-simplify]: Simplify (+ 0 0) into 0
11.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.725 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
11.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.725 * [taylor]: Taking taylor expansion of re in re
11.725 * [backup-simplify]: Simplify 0 into 0
11.725 * [backup-simplify]: Simplify 1 into 1
11.725 * [backup-simplify]: Simplify (/ 1 1) into 1
11.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
11.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.725 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.725 * [taylor]: Taking taylor expansion of im in re
11.725 * [backup-simplify]: Simplify im into im
11.725 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.726 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.726 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.726 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.726 * [taylor]: Taking taylor expansion of re in re
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 1 into 1
11.726 * [backup-simplify]: Simplify (* 1 1) into 1
11.726 * [backup-simplify]: Simplify (/ 1 1) into 1
11.727 * [backup-simplify]: Simplify (+ 0 1) into 1
11.727 * [backup-simplify]: Simplify (sqrt 1) into 1
11.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.729 * [backup-simplify]: Simplify (+ 0 0) into 0
11.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.730 * [backup-simplify]: Simplify (+ 1 1) into 2
11.730 * [taylor]: Taking taylor expansion of 2 in im
11.730 * [backup-simplify]: Simplify 2 into 2
11.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.731 * [backup-simplify]: Simplify (+ 0 0) into 0
11.731 * [taylor]: Taking taylor expansion of 0 in im
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 2 into 2
11.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.735 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
11.736 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.736 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.736 * [taylor]: Taking taylor expansion of 1/2 in im
11.736 * [backup-simplify]: Simplify 1/2 into 1/2
11.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.736 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.736 * [taylor]: Taking taylor expansion of im in im
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.737 * [backup-simplify]: Simplify (* 1 1) into 1
11.737 * [backup-simplify]: Simplify (/ 1 1) into 1
11.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.739 * [backup-simplify]: Simplify 0 into 0
11.739 * [backup-simplify]: Simplify 0 into 0
11.740 * [backup-simplify]: Simplify 0 into 0
11.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.741 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.743 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.744 * [backup-simplify]: Simplify (+ 0 0) into 0
11.745 * [taylor]: Taking taylor expansion of 0 in im
11.745 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.748 * [backup-simplify]: Simplify 0 into 0
11.748 * [backup-simplify]: Simplify 0 into 0
11.748 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
11.749 * * * [progress]: simplifying candidates
11.751 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (/ (exp (sqrt (+ (* 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)
  (/ (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)
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
11.753 * * [simplify]: Extracting # 0 : cost  0
11.753 * * [simplify]: Extracting # 1 : cost  0
11.753 * * [simplify]: Extracting # 2 : cost  0
11.754 * * [simplify]: Extracting # 3 : cost  0
11.754 * * [simplify]: Extracting # 4 : cost  0
11.754 * * [simplify]: Extracting # 5 : cost  0
11.754 * * [simplify]: Extracting # 6 : cost  0
11.754 * * [simplify]: iteration  0 :  64  enodes  (cost  962 )
11.779 * * [simplify]: Extracting # 0 : cost  0
11.780 * * [simplify]: Extracting # 1 : cost  0
11.780 * * [simplify]: Extracting # 2 : cost  0
11.780 * * [simplify]: Extracting # 3 : cost  0
11.781 * * [simplify]: Extracting # 4 : cost  0
11.781 * * [simplify]: iteration  1 :  137  enodes  (cost  842 )
11.846 * * [simplify]: Extracting # 0 : cost  0
11.847 * * [simplify]: Extracting # 1 : cost  0
11.848 * * [simplify]: Extracting # 2 : cost  0
11.848 * * [simplify]: Extracting # 3 : cost  0
11.849 * * [simplify]: Extracting # 4 : cost  0
11.849 * * [simplify]: iteration  2 :  328  enodes  (cost  782 )
12.007 * * [simplify]: Extracting # 0 : cost  0
12.009 * * [simplify]: Extracting # 1 : cost  0
12.011 * * [simplify]: Extracting # 2 : cost  0
12.012 * * [simplify]: Extracting # 3 : cost  0
12.014 * * [simplify]: iteration  3 :  767  enodes  (cost  762 )
12.553 * * [simplify]: Extracting # 0 : cost  0
12.555 * * [simplify]: Extracting # 1 : cost  0
12.558 * * [simplify]: Extracting # 2 : cost  0
12.559 * * [simplify]: Extracting # 3 : cost  0
12.561 * * [simplify]: Extracting # 4 : cost  0
12.563 * * [simplify]: iteration  4 :  1986  enodes  (cost  758 )
13.581 * * [simplify]: Extracting # 0 : cost  0
13.591 * * [simplify]: Extracting # 1 : cost  0
13.603 * * [simplify]: Extracting # 2 : cost  0
13.614 * * [simplify]: Extracting # 3 : cost  0
13.625 * * [simplify]: Extracting # 4 : cost  0
13.637 * * [simplify]: iteration done:  5000  enodes  (cost  758 )
13.638 * [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 (+ (* 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 (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (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)
  (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 (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im))
  (- re)
  (pow im 2)
  (+ (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
  (- re)
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (- im re)
  0
  (* -2 re)
13.639 * * * [progress]: adding candidates to table
14.067 * [progress]: [Phase 3 of 3] Extracting.
14.067 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.069 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
14.069 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.112 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
14.177 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.285 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.434 * * * [regime]: Found split indices: #<option (#s(si 4 38) #s(si 5 95) #s(si 6 133) #s(si 1 148) #s(si 7 155) #s(si 1 170) #s(si 7 255))>
14.435 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.806 * [regimes]: Found splitpoints: (#s(sp 4 re -5.330091552844717e+114) #s(sp 5 re -4.2156616274993736e-144) #s(sp 6 re 5.124751274050741e-246) #s(sp 1 re 1.2802976578175363e-204) #s(sp 7 re 9.727118253535962e-160) #s(sp 1 re 4.202834506095947e-94) #s(sp 7 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (sqrt (* (* im im) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))))> #<alt (λ (re im) (* 0.5 (/ (* (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (fabs im) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (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 (+ re re)))))>)
14.807 * [simplify]: Simplifying:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 1.2802976578175363e-204) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (if (<= re 9.727118253535962e-160) (* 0.5 (sqrt (* 2.0 (+ re re)))) (if (<= re 4.202834506095947e-94) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))))
14.808 * * [simplify]: Extracting # 0 : cost  0
14.808 * * [simplify]: Extracting # 1 : cost  0
14.808 * * [simplify]: Extracting # 2 : cost  0
14.808 * * [simplify]: Extracting # 3 : cost  0
14.808 * * [simplify]: Extracting # 4 : cost  0
14.808 * * [simplify]: Extracting # 5 : cost  0
14.808 * * [simplify]: Extracting # 6 : cost  0
14.808 * * [simplify]: Extracting # 7 : cost  0
14.808 * * [simplify]: Extracting # 8 : cost  0
14.809 * * [simplify]: Extracting # 9 : cost  0
14.809 * * [simplify]: Extracting # 10 : cost  0
14.809 * * [simplify]: Extracting # 11 : cost  0
14.809 * * [simplify]: Extracting # 12 : cost  0
14.809 * * [simplify]: Extracting # 13 : cost  0
14.809 * * [simplify]: Extracting # 14 : cost  0
14.809 * * [simplify]: Extracting # 15 : cost  0
14.810 * * [simplify]: Extracting # 16 : cost  0
14.810 * * [simplify]: Extracting # 17 : cost  0
14.810 * * [simplify]: Extracting # 18 : cost  0
14.810 * * [simplify]: iteration  0 :  53  enodes  (cost  131 )
14.816 * * [simplify]: Extracting # 0 : cost  0
14.816 * * [simplify]: Extracting # 1 : cost  0
14.816 * * [simplify]: Extracting # 2 : cost  0
14.816 * * [simplify]: Extracting # 3 : cost  0
14.816 * * [simplify]: Extracting # 4 : cost  0
14.816 * * [simplify]: Extracting # 5 : cost  0
14.817 * * [simplify]: Extracting # 6 : cost  0
14.817 * * [simplify]: Extracting # 7 : cost  0
14.817 * * [simplify]: Extracting # 8 : cost  0
14.817 * * [simplify]: iteration  1 :  68  enodes  (cost  124 )
14.824 * * [simplify]: Extracting # 0 : cost  0
14.824 * * [simplify]: Extracting # 1 : cost  0
14.825 * * [simplify]: Extracting # 2 : cost  0
14.825 * * [simplify]: Extracting # 3 : cost  0
14.825 * * [simplify]: Extracting # 4 : cost  0
14.825 * * [simplify]: Extracting # 5 : cost  0
14.825 * * [simplify]: Extracting # 6 : cost  0
14.826 * * [simplify]: iteration  2 :  71  enodes  (cost  106 )
14.832 * * [simplify]: Extracting # 0 : cost  0
14.833 * * [simplify]: Extracting # 1 : cost  0
14.833 * * [simplify]: Extracting # 2 : cost  0
14.833 * * [simplify]: iteration  3 :  74  enodes  (cost  106 )
14.840 * * [simplify]: Extracting # 0 : cost  0
14.840 * * [simplify]: Extracting # 1 : cost  0
14.841 * * [simplify]: Extracting # 2 : cost  0
14.841 * * [simplify]: Extracting # 3 : cost  0
14.841 * * [simplify]: Extracting # 4 : cost  0
14.841 * * [simplify]: iteration done:  74  enodes  (cost  105 )
14.841 * [simplify]: Simplified to:
  (if (<= re -5.330091552844717e+114) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (* -2 re)))) (if (<= re -4.2156616274993736e-144) (* 0.5 (/ (/ (* (fabs im) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 5.124751274050741e-246) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (or (<= re 1.2802976578175363e-204) (and (not (<= re 9.727118253535962e-160)) (<= re 4.202834506095947e-94))) (* 0.5 (sqrt (* (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0)) im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
17.794 * [regime-testing]: Baseline error score: 37.36978294310329
17.795 * [regime-testing]: Oracle error score: 8.017430076410848
17.796 * [regime-testing]: End program error score: 22.640607958720416
17.868 * [regime-testing]: Target error score: 33.251680000556505