26.295 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.052 * * * [progress]: [2/2] Setting up program.
0.057 * [progress]: [Phase 2 of 3] Improving.
0.057 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.058 * * [simplify]: Extracting # 0 : cost  0
0.058 * * [simplify]: Extracting # 1 : cost  0
0.058 * * [simplify]: Extracting # 2 : cost  0
0.058 * * [simplify]: Extracting # 3 : cost  0
0.058 * * [simplify]: Extracting # 4 : cost  0
0.058 * * [simplify]: Extracting # 5 : cost  0
0.058 * * [simplify]: Extracting # 6 : cost  0
0.058 * * [simplify]: Extracting # 7 : cost  0
0.058 * * [simplify]: Extracting # 8 : cost  0
0.058 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.063 * * [simplify]: Extracting # 0 : cost  0
0.063 * * [simplify]: Extracting # 1 : cost  0
0.063 * * [simplify]: Extracting # 2 : cost  0
0.063 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.072 * * [simplify]: Extracting # 0 : cost  0
0.072 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.081 * * [simplify]: Extracting # 0 : cost  0
0.081 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.090 * * [simplify]: Extracting # 0 : cost  0
0.090 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.090 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.097 * * [progress]: iteration 1 / 4
0.097 * * * [progress]: picking best candidate
0.104 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.104 * * * [progress]: localizing error
0.119 * * * [progress]: generating rewritten candidates
0.119 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.132 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2)
0.132 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.151 * * * [progress]: generating series expansions
0.151 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.151 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.151 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.151 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.151 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.151 * [taylor]: Taking taylor expansion of (* re re) in im
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.152 * [taylor]: Taking taylor expansion of re in im
0.152 * [backup-simplify]: Simplify re into re
0.152 * [taylor]: Taking taylor expansion of (* im im) in im
0.152 * [taylor]: Taking taylor expansion of im in im
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of im in im
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.152 * [backup-simplify]: Simplify (* 0 0) into 0
0.153 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.153 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.153 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.154 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.154 * [taylor]: Taking taylor expansion of re in re
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.154 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.154 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.154 * [taylor]: Taking taylor expansion of (* re re) in re
0.155 * [taylor]: Taking taylor expansion of re in re
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of re in re
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of (* im im) in re
0.155 * [taylor]: Taking taylor expansion of im in re
0.155 * [backup-simplify]: Simplify im into im
0.155 * [taylor]: Taking taylor expansion of im in re
0.155 * [backup-simplify]: Simplify im into im
0.155 * [backup-simplify]: Simplify (* 0 0) into 0
0.155 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.156 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.157 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.157 * [taylor]: Taking taylor expansion of (* re re) in re
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of re in re
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (* im im) in re
0.157 * [taylor]: Taking taylor expansion of im in re
0.157 * [backup-simplify]: Simplify im into im
0.157 * [taylor]: Taking taylor expansion of im in re
0.157 * [backup-simplify]: Simplify im into im
0.158 * [backup-simplify]: Simplify (* 0 0) into 0
0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.158 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.158 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.159 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 im) into im
0.160 * [taylor]: Taking taylor expansion of im in im
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ 1 0) into 1
0.160 * [taylor]: Taking taylor expansion of 1 in im
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.161 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.162 * [backup-simplify]: Simplify (+ 1 0) into 1
0.163 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.163 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.163 * [taylor]: Taking taylor expansion of 1/2 in im
0.163 * [backup-simplify]: Simplify 1/2 into 1/2
0.163 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.168 * [backup-simplify]: Simplify (+ 0 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
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.170 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.170 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.170 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.170 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.170 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.170 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.170 * [taylor]: Taking taylor expansion of re in im
0.170 * [backup-simplify]: Simplify re into re
0.170 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.171 * [taylor]: Taking taylor expansion of re in im
0.171 * [backup-simplify]: Simplify re into re
0.171 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.171 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.171 * [taylor]: Taking taylor expansion of im in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.171 * [taylor]: Taking taylor expansion of im in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (+ 0 1) into 1
0.173 * [backup-simplify]: Simplify (sqrt 1) into 1
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.176 * [taylor]: Taking taylor expansion of re in im
0.176 * [backup-simplify]: Simplify re into re
0.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.176 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.176 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.176 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.176 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.177 * [taylor]: Taking taylor expansion of re in re
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (/ 1 1) into 1
0.178 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.178 * [taylor]: Taking taylor expansion of im in re
0.178 * [backup-simplify]: Simplify im into im
0.178 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.178 * [taylor]: Taking taylor expansion of im in re
0.178 * [backup-simplify]: Simplify im into im
0.178 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (+ 1 0) into 1
0.179 * [backup-simplify]: Simplify (sqrt 1) into 1
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.182 * [taylor]: Taking taylor expansion of re in re
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.183 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.183 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.183 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.183 * [taylor]: Taking taylor expansion of re in re
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.184 * [taylor]: Taking taylor expansion of re in re
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.184 * [taylor]: Taking taylor expansion of im in re
0.184 * [backup-simplify]: Simplify im into im
0.184 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.184 * [taylor]: Taking taylor expansion of im in re
0.184 * [backup-simplify]: Simplify im into im
0.184 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (+ 1 0) into 1
0.191 * [backup-simplify]: Simplify (sqrt 1) into 1
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.194 * [taylor]: Taking taylor expansion of re in re
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (/ 1 1) into 1
0.195 * [backup-simplify]: Simplify (+ 1 1) into 2
0.195 * [taylor]: Taking taylor expansion of 2 in im
0.195 * [backup-simplify]: Simplify 2 into 2
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [taylor]: Taking taylor expansion of 0 in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 2 into 2
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.199 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.199 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.201 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.202 * [taylor]: Taking taylor expansion of 1/2 in im
0.202 * [backup-simplify]: Simplify 1/2 into 1/2
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.202 * [taylor]: Taking taylor expansion of im in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [taylor]: Taking taylor expansion of 0 in im
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.214 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.214 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.214 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.214 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.214 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.214 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.214 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.214 * [taylor]: Taking taylor expansion of -1 in im
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.214 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.214 * [taylor]: Taking taylor expansion of -1 in im
0.214 * [backup-simplify]: Simplify -1 into -1
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.215 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.215 * [taylor]: Taking taylor expansion of -1 in im
0.215 * [backup-simplify]: Simplify -1 into -1
0.215 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ -1 1) into -1
0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.215 * [taylor]: Taking taylor expansion of -1 in im
0.215 * [backup-simplify]: Simplify -1 into -1
0.215 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (/ -1 1) into -1
0.216 * [backup-simplify]: Simplify (* -1 -1) into 1
0.217 * [backup-simplify]: Simplify (+ 0 1) into 1
0.217 * [backup-simplify]: Simplify (sqrt 1) into 1
0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.220 * [taylor]: Taking taylor expansion of re in im
0.220 * [backup-simplify]: Simplify re into re
0.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.220 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.220 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.221 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.221 * [taylor]: Taking taylor expansion of -1 in re
0.221 * [backup-simplify]: Simplify -1 into -1
0.221 * [taylor]: Taking taylor expansion of re in re
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (/ -1 1) into -1
0.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.221 * [taylor]: Taking taylor expansion of -1 in re
0.221 * [backup-simplify]: Simplify -1 into -1
0.221 * [taylor]: Taking taylor expansion of re in re
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (/ -1 1) into -1
0.222 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.222 * [taylor]: Taking taylor expansion of -1 in re
0.222 * [backup-simplify]: Simplify -1 into -1
0.222 * [taylor]: Taking taylor expansion of im in re
0.222 * [backup-simplify]: Simplify im into im
0.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.222 * [taylor]: Taking taylor expansion of -1 in re
0.222 * [backup-simplify]: Simplify -1 into -1
0.222 * [taylor]: Taking taylor expansion of im in re
0.222 * [backup-simplify]: Simplify im into im
0.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.223 * [backup-simplify]: Simplify (* -1 -1) into 1
0.223 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.227 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.228 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.228 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.228 * [taylor]: Taking taylor expansion of -1 in re
0.228 * [backup-simplify]: Simplify -1 into -1
0.228 * [taylor]: Taking taylor expansion of re in re
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (/ -1 1) into -1
0.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.228 * [taylor]: Taking taylor expansion of -1 in re
0.228 * [backup-simplify]: Simplify -1 into -1
0.228 * [taylor]: Taking taylor expansion of re in re
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (/ -1 1) into -1
0.229 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.229 * [taylor]: Taking taylor expansion of -1 in re
0.229 * [backup-simplify]: Simplify -1 into -1
0.229 * [taylor]: Taking taylor expansion of im in re
0.229 * [backup-simplify]: Simplify im into im
0.229 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.229 * [taylor]: Taking taylor expansion of -1 in re
0.229 * [backup-simplify]: Simplify -1 into -1
0.229 * [taylor]: Taking taylor expansion of im in re
0.229 * [backup-simplify]: Simplify im into im
0.229 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.230 * [backup-simplify]: Simplify (* -1 -1) into 1
0.230 * [backup-simplify]: Simplify (+ 1 0) into 1
0.231 * [backup-simplify]: Simplify (sqrt 1) into 1
0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.234 * [taylor]: Taking taylor expansion of re in re
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [backup-simplify]: Simplify (- 1) into -1
0.235 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.235 * [taylor]: Taking taylor expansion of 0 in im
0.235 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (- 0) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [taylor]: Taking taylor expansion of 0 in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.240 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- 0) into 0
0.243 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.243 * [taylor]: Taking taylor expansion of 1/2 in im
0.243 * [backup-simplify]: Simplify 1/2 into 1/2
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
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.250 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (- 0) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in im
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2)
0.256 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.256 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.256 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.256 * [taylor]: Taking taylor expansion of (* re re) in im
0.256 * [taylor]: Taking taylor expansion of re in im
0.256 * [backup-simplify]: Simplify re into re
0.256 * [taylor]: Taking taylor expansion of re in im
0.256 * [backup-simplify]: Simplify re into re
0.256 * [taylor]: Taking taylor expansion of (* im im) in im
0.256 * [taylor]: Taking taylor expansion of im in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of im in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.256 * [backup-simplify]: Simplify (* 0 0) into 0
0.257 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.257 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.257 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.258 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.258 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.258 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.258 * [taylor]: Taking taylor expansion of (* re re) in re
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of (* im im) in re
0.259 * [taylor]: Taking taylor expansion of im in re
0.259 * [backup-simplify]: Simplify im into im
0.259 * [taylor]: Taking taylor expansion of im in re
0.259 * [backup-simplify]: Simplify im into im
0.259 * [backup-simplify]: Simplify (* 0 0) into 0
0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.259 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.261 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.261 * [taylor]: Taking taylor expansion of (* re re) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of (* im im) in re
0.261 * [taylor]: Taking taylor expansion of im in re
0.261 * [backup-simplify]: Simplify im into im
0.261 * [taylor]: Taking taylor expansion of im in re
0.261 * [backup-simplify]: Simplify im into im
0.261 * [backup-simplify]: Simplify (* 0 0) into 0
0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.263 * [taylor]: Taking taylor expansion of im in im
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [taylor]: Taking taylor expansion of 0 in im
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.265 * [backup-simplify]: Simplify (+ 1 0) into 1
0.266 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.266 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.270 * [taylor]: Taking taylor expansion of 0 in im
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.271 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.271 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.271 * [taylor]: Taking taylor expansion of re in im
0.271 * [backup-simplify]: Simplify re into re
0.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.272 * [taylor]: Taking taylor expansion of re in im
0.272 * [backup-simplify]: Simplify re into re
0.272 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.272 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [backup-simplify]: Simplify (sqrt 1) into 1
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.277 * [taylor]: Taking taylor expansion of re in re
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.278 * [taylor]: Taking taylor expansion of re in re
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.278 * [taylor]: Taking taylor expansion of im in re
0.278 * [backup-simplify]: Simplify im into im
0.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.278 * [taylor]: Taking taylor expansion of im in re
0.279 * [backup-simplify]: Simplify im into im
0.279 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 (hypot (/ 1 re) (/ 1 im)) in re
0.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.284 * [taylor]: Taking taylor expansion of re in re
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.284 * [taylor]: Taking taylor expansion of im in re
0.284 * [backup-simplify]: Simplify im into im
0.284 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.284 * [taylor]: Taking taylor expansion of im in re
0.284 * [backup-simplify]: Simplify im into im
0.284 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ 1 0) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of 1 in im
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of 0 in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.292 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.293 * [taylor]: Taking taylor expansion of 1/2 in im
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.293 * [taylor]: Taking taylor expansion of im in im
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (* 1 1) into 1
0.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.303 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.303 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.303 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.303 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.303 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.303 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.303 * [taylor]: Taking taylor expansion of -1 in im
0.303 * [backup-simplify]: Simplify -1 into -1
0.303 * [taylor]: Taking taylor expansion of re in im
0.303 * [backup-simplify]: Simplify re into re
0.303 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.303 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.303 * [taylor]: Taking taylor expansion of -1 in im
0.303 * [backup-simplify]: Simplify -1 into -1
0.303 * [taylor]: Taking taylor expansion of re in im
0.303 * [backup-simplify]: Simplify re into re
0.303 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.304 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.304 * [taylor]: Taking taylor expansion of -1 in im
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of im in im
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ -1 1) into -1
0.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.304 * [taylor]: Taking taylor expansion of -1 in im
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of im in im
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (/ -1 1) into -1
0.305 * [backup-simplify]: Simplify (* -1 -1) into 1
0.305 * [backup-simplify]: Simplify (+ 0 1) into 1
0.306 * [backup-simplify]: Simplify (sqrt 1) into 1
0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.310 * [taylor]: Taking taylor expansion of -1 in re
0.310 * [backup-simplify]: Simplify -1 into -1
0.310 * [taylor]: Taking taylor expansion of re in re
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (/ -1 1) into -1
0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.310 * [taylor]: Taking taylor expansion of -1 in re
0.310 * [backup-simplify]: Simplify -1 into -1
0.310 * [taylor]: Taking taylor expansion of re in re
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ -1 1) into -1
0.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.311 * [taylor]: Taking taylor expansion of -1 in re
0.311 * [backup-simplify]: Simplify -1 into -1
0.311 * [taylor]: Taking taylor expansion of im in re
0.311 * [backup-simplify]: Simplify im into im
0.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.311 * [taylor]: Taking taylor expansion of -1 in re
0.311 * [backup-simplify]: Simplify -1 into -1
0.311 * [taylor]: Taking taylor expansion of im in re
0.311 * [backup-simplify]: Simplify im into im
0.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.312 * [backup-simplify]: Simplify (* -1 -1) into 1
0.312 * [backup-simplify]: Simplify (+ 1 0) into 1
0.312 * [backup-simplify]: Simplify (sqrt 1) into 1
0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.316 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.316 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.316 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.316 * [taylor]: Taking taylor expansion of -1 in re
0.316 * [backup-simplify]: Simplify -1 into -1
0.316 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.317 * [taylor]: Taking taylor expansion of -1 in re
0.317 * [backup-simplify]: Simplify -1 into -1
0.317 * [taylor]: Taking taylor expansion of re in re
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ -1 1) into -1
0.318 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.318 * [taylor]: Taking taylor expansion of -1 in re
0.318 * [backup-simplify]: Simplify -1 into -1
0.318 * [taylor]: Taking taylor expansion of im in re
0.318 * [backup-simplify]: Simplify im into im
0.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.318 * [taylor]: Taking taylor expansion of -1 in re
0.318 * [backup-simplify]: Simplify -1 into -1
0.318 * [taylor]: Taking taylor expansion of im in re
0.318 * [backup-simplify]: Simplify im into im
0.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.318 * [backup-simplify]: Simplify (* -1 -1) into 1
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (sqrt 1) into 1
0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.323 * [taylor]: Taking taylor expansion of 1 in im
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [taylor]: Taking taylor expansion of 0 in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.326 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.327 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.327 * [taylor]: Taking taylor expansion of 1/2 in im
0.327 * [backup-simplify]: Simplify 1/2 into 1/2
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.327 * [taylor]: Taking taylor expansion of im in im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in im
0.332 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.339 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.339 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
0.339 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
0.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
0.339 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
0.339 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.339 * [taylor]: Taking taylor expansion of re in im
0.339 * [backup-simplify]: Simplify re into re
0.339 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.339 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.339 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.339 * [taylor]: Taking taylor expansion of (* re re) in im
0.339 * [taylor]: Taking taylor expansion of re in im
0.339 * [backup-simplify]: Simplify re into re
0.339 * [taylor]: Taking taylor expansion of re in im
0.339 * [backup-simplify]: Simplify re into re
0.339 * [taylor]: Taking taylor expansion of (* im im) in im
0.339 * [taylor]: Taking taylor expansion of im in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of im in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.340 * [backup-simplify]: Simplify (* 0 0) into 0
0.340 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.340 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.340 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.340 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.341 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.341 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.341 * [taylor]: Taking taylor expansion of 2.0 in im
0.341 * [backup-simplify]: Simplify 2.0 into 2.0
0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.342 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.342 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.342 * [taylor]: Taking taylor expansion of re in re
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.342 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.342 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.342 * [taylor]: Taking taylor expansion of (* re re) in re
0.342 * [taylor]: Taking taylor expansion of re in re
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of re in re
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of (* im im) in re
0.342 * [taylor]: Taking taylor expansion of im in re
0.342 * [backup-simplify]: Simplify im into im
0.342 * [taylor]: Taking taylor expansion of im in re
0.342 * [backup-simplify]: Simplify im into im
0.343 * [backup-simplify]: Simplify (* 0 0) into 0
0.343 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.343 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.343 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.343 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 im) into im
0.344 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.344 * [backup-simplify]: Simplify (+ 1 0) into 1
0.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.344 * [taylor]: Taking taylor expansion of 2.0 in re
0.344 * [backup-simplify]: Simplify 2.0 into 2.0
0.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.345 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.345 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.345 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.345 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.345 * [taylor]: Taking taylor expansion of (* re re) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (* im im) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [backup-simplify]: Simplify (* 0 0) into 0
0.346 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.346 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.346 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 im) into im
0.347 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.347 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.347 * [taylor]: Taking taylor expansion of 2.0 in re
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
0.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.348 * [taylor]: Taking taylor expansion of 2.0 in im
0.348 * [backup-simplify]: Simplify 2.0 into 2.0
0.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.349 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.349 * [taylor]: Taking taylor expansion of im in im
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (sqrt 0) into 0
0.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.350 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.351 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.351 * [taylor]: Taking taylor expansion of 1/2 in im
0.351 * [backup-simplify]: Simplify 1/2 into 1/2
0.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.351 * [taylor]: Taking taylor expansion of 2.0 in im
0.351 * [backup-simplify]: Simplify 2.0 into 2.0
0.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.352 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.352 * [taylor]: Taking taylor expansion of im in im
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [backup-simplify]: Simplify (sqrt 0) into 0
0.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.354 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.358 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.365 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.366 * [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))))
0.367 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.367 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.367 * [taylor]: Taking taylor expansion of 1/8 in im
0.367 * [backup-simplify]: Simplify 1/8 into 1/8
0.367 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.367 * [taylor]: Taking taylor expansion of 2.0 in im
0.367 * [backup-simplify]: Simplify 2.0 into 2.0
0.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.368 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.368 * [taylor]: Taking taylor expansion of im in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (sqrt 0) into 0
0.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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)))
0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.382 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.389 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [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)))))))
0.394 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
0.394 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
0.394 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.394 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.394 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.394 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.394 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.395 * [taylor]: Taking taylor expansion of re in im
0.395 * [backup-simplify]: Simplify re into re
0.395 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.395 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.395 * [taylor]: Taking taylor expansion of re in im
0.395 * [backup-simplify]: Simplify re into re
0.395 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.395 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.395 * [taylor]: Taking taylor expansion of im in im
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.395 * [taylor]: Taking taylor expansion of im in im
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.397 * [backup-simplify]: Simplify (+ 0 1) into 1
0.397 * [backup-simplify]: Simplify (sqrt 1) into 1
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.401 * [taylor]: Taking taylor expansion of re in im
0.401 * [backup-simplify]: Simplify re into re
0.401 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.401 * [backup-simplify]: Simplify (+ 1 0) into 1
0.401 * [backup-simplify]: Simplify (sqrt 0) into 0
0.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.402 * [taylor]: Taking taylor expansion of 2.0 in im
0.402 * [backup-simplify]: Simplify 2.0 into 2.0
0.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.403 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.403 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.403 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.403 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.403 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.403 * [taylor]: Taking taylor expansion of re in re
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.404 * [taylor]: Taking taylor expansion of re in re
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.404 * [taylor]: Taking taylor expansion of im in re
0.404 * [backup-simplify]: Simplify im into im
0.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.404 * [taylor]: Taking taylor expansion of im in re
0.404 * [backup-simplify]: Simplify im into im
0.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 1 0) into 1
0.405 * [backup-simplify]: Simplify (sqrt 1) into 1
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.407 * [taylor]: Taking taylor expansion of re in re
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.407 * [backup-simplify]: Simplify (+ 1 1) into 2
0.407 * [backup-simplify]: Simplify (sqrt 0) into 0
0.408 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.408 * [taylor]: Taking taylor expansion of 2.0 in re
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.409 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.409 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.409 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.409 * [taylor]: Taking taylor expansion of re in re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.409 * [taylor]: Taking taylor expansion of re in re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (/ 1 1) into 1
0.410 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.410 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.410 * [taylor]: Taking taylor expansion of im in re
0.410 * [backup-simplify]: Simplify im into im
0.410 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.410 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.410 * [taylor]: Taking taylor expansion of im in re
0.410 * [backup-simplify]: Simplify im into im
0.410 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (+ 1 0) into 1
0.410 * [backup-simplify]: Simplify (sqrt 1) into 1
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.412 * [taylor]: Taking taylor expansion of re in re
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify (+ 1 1) into 2
0.413 * [backup-simplify]: Simplify (sqrt 0) into 0
0.414 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.414 * [taylor]: Taking taylor expansion of 2.0 in re
0.414 * [backup-simplify]: Simplify 2.0 into 2.0
0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.415 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
0.415 * [taylor]: Taking taylor expansion of 0 in im
0.415 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.416 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.416 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.416 * [taylor]: Taking taylor expansion of +nan.0 in im
0.416 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.416 * [taylor]: Taking taylor expansion of 2.0 in im
0.416 * [backup-simplify]: Simplify 2.0 into 2.0
0.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.420 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (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
0.422 * [taylor]: Taking taylor expansion of +nan.0 in im
0.422 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.422 * [taylor]: Taking taylor expansion of 2.0 in im
0.422 * [backup-simplify]: Simplify 2.0 into 2.0
0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.423 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.425 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.427 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.428 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.431 * [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))
0.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.433 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.433 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.433 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.433 * [taylor]: Taking taylor expansion of +nan.0 in im
0.433 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.433 * [taylor]: Taking taylor expansion of 2.0 in im
0.433 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.434 * [taylor]: Taking taylor expansion of im in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.435 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.435 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.435 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.435 * [taylor]: Taking taylor expansion of +nan.0 in im
0.436 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.436 * [taylor]: Taking taylor expansion of 2.0 in im
0.436 * [backup-simplify]: Simplify 2.0 into 2.0
0.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.442 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.444 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.445 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.445 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.450 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [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)))
0.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.465 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.465 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.465 * [taylor]: Taking taylor expansion of +nan.0 in im
0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.465 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.465 * [taylor]: Taking taylor expansion of 2.0 in im
0.465 * [backup-simplify]: Simplify 2.0 into 2.0
0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.466 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.466 * [taylor]: Taking taylor expansion of im in im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.468 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.468 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.468 * [taylor]: Taking taylor expansion of +nan.0 in im
0.468 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.468 * [taylor]: Taking taylor expansion of 2.0 in im
0.468 * [backup-simplify]: Simplify 2.0 into 2.0
0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.477 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.481 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.483 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.485 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.489 * [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)))))))
0.490 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.490 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.490 * [taylor]: Taking taylor expansion of 2.0 in im
0.490 * [backup-simplify]: Simplify 2.0 into 2.0
0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.491 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.491 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.491 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.492 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.492 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.492 * [taylor]: Taking taylor expansion of -1 in im
0.492 * [backup-simplify]: Simplify -1 into -1
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.492 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.492 * [taylor]: Taking taylor expansion of -1 in im
0.492 * [backup-simplify]: Simplify -1 into -1
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.492 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.492 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.492 * [taylor]: Taking taylor expansion of -1 in im
0.492 * [backup-simplify]: Simplify -1 into -1
0.492 * [taylor]: Taking taylor expansion of im in im
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ -1 1) into -1
0.493 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.493 * [taylor]: Taking taylor expansion of -1 in im
0.493 * [backup-simplify]: Simplify -1 into -1
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ -1 1) into -1
0.493 * [backup-simplify]: Simplify (* -1 -1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.497 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.498 * [taylor]: Taking taylor expansion of re in im
0.498 * [backup-simplify]: Simplify re into re
0.498 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (sqrt 0) into 0
0.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.500 * [taylor]: Taking taylor expansion of 2.0 in re
0.500 * [backup-simplify]: Simplify 2.0 into 2.0
0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.501 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.501 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.501 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.502 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.502 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.502 * [taylor]: Taking taylor expansion of -1 in re
0.502 * [backup-simplify]: Simplify -1 into -1
0.502 * [taylor]: Taking taylor expansion of re in re
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ -1 1) into -1
0.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.502 * [taylor]: Taking taylor expansion of -1 in re
0.502 * [backup-simplify]: Simplify -1 into -1
0.502 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (/ -1 1) into -1
0.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.503 * [taylor]: Taking taylor expansion of -1 in re
0.503 * [backup-simplify]: Simplify -1 into -1
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.503 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.503 * [taylor]: Taking taylor expansion of -1 in re
0.503 * [backup-simplify]: Simplify -1 into -1
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.503 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.504 * [backup-simplify]: Simplify (* -1 -1) into 1
0.504 * [backup-simplify]: Simplify (+ 1 0) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (- 1) into -1
0.509 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.513 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.514 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.517 * [backup-simplify]: Simplify (sqrt 0) into 0
0.517 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.517 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.518 * [taylor]: Taking taylor expansion of 2.0 in re
0.518 * [backup-simplify]: Simplify 2.0 into 2.0
0.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.519 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.519 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.519 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.519 * [taylor]: Taking taylor expansion of -1 in re
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of re in re
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.520 * [taylor]: Taking taylor expansion of -1 in re
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of re in re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.520 * [taylor]: Taking taylor expansion of -1 in re
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.520 * [taylor]: Taking taylor expansion of -1 in re
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of im in re
0.521 * [backup-simplify]: Simplify im into im
0.521 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.521 * [backup-simplify]: Simplify (* -1 -1) into 1
0.521 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [backup-simplify]: Simplify (sqrt 1) into 1
0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.523 * [taylor]: Taking taylor expansion of re in re
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [backup-simplify]: Simplify (- 1) into -1
0.524 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.527 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.527 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.528 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.529 * [backup-simplify]: Simplify (sqrt 0) into 0
0.529 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.529 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.529 * [taylor]: Taking taylor expansion of 0 in im
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.530 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.530 * [taylor]: Taking taylor expansion of +nan.0 in im
0.530 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.530 * [taylor]: Taking taylor expansion of 2.0 in im
0.530 * [backup-simplify]: Simplify 2.0 into 2.0
0.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.531 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.531 * [taylor]: Taking taylor expansion of im in im
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (* 1 1) into 1
0.532 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.533 * [backup-simplify]: Simplify (- 0) into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- 0) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.539 * [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))))
0.539 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.539 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.539 * [taylor]: Taking taylor expansion of +nan.0 in im
0.539 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.539 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.539 * [taylor]: Taking taylor expansion of 2.0 in im
0.539 * [backup-simplify]: Simplify 2.0 into 2.0
0.539 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.540 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.540 * [taylor]: Taking taylor expansion of im in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (* 1 1) into 1
0.540 * [backup-simplify]: Simplify (* 1 1) into 1
0.541 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.550 * [backup-simplify]: Simplify (- 0) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.555 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.556 * [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))))))
0.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.559 * [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))))))
0.559 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.560 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.560 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.560 * [taylor]: Taking taylor expansion of +nan.0 in im
0.560 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.560 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.560 * [taylor]: Taking taylor expansion of 2.0 in im
0.560 * [backup-simplify]: Simplify 2.0 into 2.0
0.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.561 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.561 * [taylor]: Taking taylor expansion of im in im
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.562 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.563 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.563 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.563 * [taylor]: Taking taylor expansion of +nan.0 in im
0.563 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.563 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.563 * [taylor]: Taking taylor expansion of 2.0 in im
0.563 * [backup-simplify]: Simplify 2.0 into 2.0
0.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.564 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.564 * [taylor]: Taking taylor expansion of im in im
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 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)))) into 0
0.592 * [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
0.593 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (- 0) into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.594 * * * [progress]: simplifying candidates
0.594 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +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
0.595 * * [simplify]: Extracting # 0 : cost  0
0.595 * * [simplify]: Extracting # 1 : cost  0
0.595 * * [simplify]: Extracting # 2 : cost  0
0.595 * * [simplify]: Extracting # 3 : cost  0
0.595 * * [simplify]: Extracting # 4 : cost  0
0.595 * * [simplify]: Extracting # 5 : cost  0
0.596 * * [simplify]: Extracting # 6 : cost  0
0.596 * * [simplify]: Extracting # 7 : cost  0
0.596 * * [simplify]: Extracting # 8 : cost  0
0.596 * * [simplify]: Extracting # 9 : cost  0
0.596 * * [simplify]: Extracting # 10 : cost  0
0.596 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
0.619 * * [simplify]: Extracting # 0 : cost  0
0.619 * * [simplify]: Extracting # 1 : cost  0
0.620 * * [simplify]: Extracting # 2 : cost  0
0.620 * * [simplify]: Extracting # 3 : cost  0
0.620 * * [simplify]: Extracting # 4 : cost  0
0.620 * * [simplify]: iteration  1 :  187  enodes  (cost  377 )
0.704 * * [simplify]: Extracting # 0 : cost  0
0.705 * * [simplify]: Extracting # 1 : cost  0
0.706 * * [simplify]: Extracting # 2 : cost  0
0.707 * * [simplify]: Extracting # 3 : cost  0
0.708 * * [simplify]: iteration  2 :  459  enodes  (cost  354 )
0.991 * * [simplify]: Extracting # 0 : cost  0
0.993 * * [simplify]: Extracting # 1 : cost  0
0.994 * * [simplify]: Extracting # 2 : cost  0
0.995 * * [simplify]: Extracting # 3 : cost  0
0.996 * * [simplify]: Extracting # 4 : cost  0
0.997 * * [simplify]: iteration  3 :  1221  enodes  (cost  345 )
2.789 * * [simplify]: Extracting # 0 : cost  0
2.793 * * [simplify]: Extracting # 1 : cost  0
2.796 * * [simplify]: Extracting # 2 : cost  0
2.799 * * [simplify]: Extracting # 3 : cost  0
2.802 * * [simplify]: iteration  4 :  3261  enodes  (cost  344 )
5.148 * * [simplify]: Extracting # 0 : cost  0
5.158 * * [simplify]: Extracting # 1 : cost  0
5.167 * * [simplify]: Extracting # 2 : cost  0
5.182 * * [simplify]: Extracting # 3 : cost  0
5.191 * * [simplify]: Extracting # 4 : cost  0
5.199 * * [simplify]: iteration done:  5001  enodes  (cost  344 )
5.200 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* (sqrt 2.0) +nan.0) (fma re (- re) (- im re)))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
5.201 * * * [progress]: adding candidates to table
5.410 * * [progress]: iteration 2 / 4
5.410 * * * [progress]: picking best candidate
5.425 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))>
5.425 * * * [progress]: localizing error
5.434 * * * [progress]: generating rewritten candidates
5.434 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
5.444 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
5.470 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
5.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.487 * * * [progress]: generating series expansions
5.487 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.487 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
5.487 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
5.487 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.487 * [taylor]: Taking taylor expansion of re in im
5.487 * [backup-simplify]: Simplify re into re
5.487 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.487 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.487 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.487 * [taylor]: Taking taylor expansion of (* re re) in im
5.487 * [taylor]: Taking taylor expansion of re in im
5.487 * [backup-simplify]: Simplify re into re
5.487 * [taylor]: Taking taylor expansion of re in im
5.487 * [backup-simplify]: Simplify re into re
5.488 * [taylor]: Taking taylor expansion of (* im im) in im
5.488 * [taylor]: Taking taylor expansion of im in im
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [taylor]: Taking taylor expansion of im in im
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.488 * [backup-simplify]: Simplify (* 0 0) into 0
5.489 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.489 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.489 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.489 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.490 * [backup-simplify]: Simplify (+ 0 0) into 0
5.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.490 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.490 * [taylor]: Taking taylor expansion of re in re
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.490 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.490 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.490 * [taylor]: Taking taylor expansion of (* re re) in re
5.490 * [taylor]: Taking taylor expansion of re in re
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [taylor]: Taking taylor expansion of re in re
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [taylor]: Taking taylor expansion of (* im im) in re
5.490 * [taylor]: Taking taylor expansion of im in re
5.491 * [backup-simplify]: Simplify im into im
5.491 * [taylor]: Taking taylor expansion of im in re
5.491 * [backup-simplify]: Simplify im into im
5.491 * [backup-simplify]: Simplify (* 0 0) into 0
5.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.491 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.492 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.492 * [backup-simplify]: Simplify (+ 0 0) into 0
5.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.493 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.493 * [taylor]: Taking taylor expansion of re in re
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 1 into 1
5.493 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.493 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.493 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.493 * [taylor]: Taking taylor expansion of (* re re) in re
5.493 * [taylor]: Taking taylor expansion of re in re
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 1 into 1
5.493 * [taylor]: Taking taylor expansion of re in re
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 1 into 1
5.493 * [taylor]: Taking taylor expansion of (* im im) in re
5.493 * [taylor]: Taking taylor expansion of im in re
5.493 * [backup-simplify]: Simplify im into im
5.493 * [taylor]: Taking taylor expansion of im in re
5.493 * [backup-simplify]: Simplify im into im
5.494 * [backup-simplify]: Simplify (* 0 0) into 0
5.494 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.494 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.494 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.495 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.495 * [backup-simplify]: Simplify (+ 0 0) into 0
5.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.495 * [backup-simplify]: Simplify (+ 0 im) into im
5.495 * [taylor]: Taking taylor expansion of im in im
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 1 into 1
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (+ 1 0) into 1
5.496 * [taylor]: Taking taylor expansion of 1 in im
5.496 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.497 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.498 * [backup-simplify]: Simplify (+ 1 0) into 1
5.499 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.499 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.499 * [taylor]: Taking taylor expansion of 1/2 in im
5.499 * [backup-simplify]: Simplify 1/2 into 1/2
5.499 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.499 * [taylor]: Taking taylor expansion of im in im
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 1 into 1
5.499 * [backup-simplify]: Simplify (/ 1 1) into 1
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.503 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.503 * [backup-simplify]: Simplify (+ 0 0) into 0
5.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.504 * [backup-simplify]: Simplify (+ 0 0) into 0
5.504 * [taylor]: Taking taylor expansion of 0 in im
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.506 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
5.506 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
5.506 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.506 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.506 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.506 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.507 * [taylor]: Taking taylor expansion of re in im
5.507 * [backup-simplify]: Simplify re into re
5.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.507 * [taylor]: Taking taylor expansion of re in im
5.507 * [backup-simplify]: Simplify re into re
5.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.507 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.507 * [taylor]: Taking taylor expansion of im in im
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.507 * [taylor]: Taking taylor expansion of im in im
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.508 * [backup-simplify]: Simplify (/ 1 1) into 1
5.508 * [backup-simplify]: Simplify (* 1 1) into 1
5.508 * [backup-simplify]: Simplify (+ 0 1) into 1
5.509 * [backup-simplify]: Simplify (sqrt 1) into 1
5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.511 * [backup-simplify]: Simplify (+ 0 0) into 0
5.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.512 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.512 * [taylor]: Taking taylor expansion of re in im
5.512 * [backup-simplify]: Simplify re into re
5.512 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.512 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.512 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.512 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.512 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.512 * [taylor]: Taking taylor expansion of re in re
5.512 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (/ 1 1) into 1
5.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.513 * [taylor]: Taking taylor expansion of re in re
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (/ 1 1) into 1
5.513 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.513 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.513 * [taylor]: Taking taylor expansion of im in re
5.513 * [backup-simplify]: Simplify im into im
5.514 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.514 * [taylor]: Taking taylor expansion of im in re
5.514 * [backup-simplify]: Simplify im into im
5.514 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.514 * [backup-simplify]: Simplify (* 1 1) into 1
5.514 * [backup-simplify]: Simplify (+ 1 0) into 1
5.515 * [backup-simplify]: Simplify (sqrt 1) into 1
5.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.517 * [backup-simplify]: Simplify (+ 0 0) into 0
5.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.518 * [taylor]: Taking taylor expansion of re in re
5.518 * [backup-simplify]: Simplify 0 into 0
5.518 * [backup-simplify]: Simplify 1 into 1
5.518 * [backup-simplify]: Simplify (/ 1 1) into 1
5.518 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.519 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.519 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.519 * [taylor]: Taking taylor expansion of re in re
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 1 into 1
5.519 * [backup-simplify]: Simplify (/ 1 1) into 1
5.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.519 * [taylor]: Taking taylor expansion of re in re
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 1 into 1
5.520 * [backup-simplify]: Simplify (/ 1 1) into 1
5.520 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.520 * [taylor]: Taking taylor expansion of im in re
5.520 * [backup-simplify]: Simplify im into im
5.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.520 * [taylor]: Taking taylor expansion of im in re
5.520 * [backup-simplify]: Simplify im into im
5.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.520 * [backup-simplify]: Simplify (* 1 1) into 1
5.521 * [backup-simplify]: Simplify (+ 1 0) into 1
5.521 * [backup-simplify]: Simplify (sqrt 1) into 1
5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.523 * [backup-simplify]: Simplify (+ 0 0) into 0
5.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.524 * [taylor]: Taking taylor expansion of re in re
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 1 into 1
5.525 * [backup-simplify]: Simplify (/ 1 1) into 1
5.525 * [backup-simplify]: Simplify (+ 1 1) into 2
5.525 * [taylor]: Taking taylor expansion of 2 in im
5.525 * [backup-simplify]: Simplify 2 into 2
5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.526 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [taylor]: Taking taylor expansion of 0 in im
5.526 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify 2 into 2
5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.529 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.529 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.532 * [taylor]: Taking taylor expansion of 1/2 in im
5.532 * [backup-simplify]: Simplify 1/2 into 1/2
5.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.532 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.532 * [taylor]: Taking taylor expansion of im in im
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 1 into 1
5.532 * [backup-simplify]: Simplify (* 1 1) into 1
5.533 * [backup-simplify]: Simplify (/ 1 1) into 1
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.538 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.538 * [backup-simplify]: Simplify (+ 0 0) into 0
5.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.546 * [backup-simplify]: Simplify (+ 0 0) into 0
5.546 * [taylor]: Taking taylor expansion of 0 in im
5.546 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.550 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
5.550 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
5.550 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.550 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.550 * [taylor]: Taking taylor expansion of -1 in im
5.550 * [backup-simplify]: Simplify -1 into -1
5.550 * [taylor]: Taking taylor expansion of re in im
5.550 * [backup-simplify]: Simplify re into re
5.550 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.550 * [taylor]: Taking taylor expansion of -1 in im
5.550 * [backup-simplify]: Simplify -1 into -1
5.550 * [taylor]: Taking taylor expansion of re in im
5.550 * [backup-simplify]: Simplify re into re
5.550 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.550 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.550 * [taylor]: Taking taylor expansion of -1 in im
5.551 * [backup-simplify]: Simplify -1 into -1
5.551 * [taylor]: Taking taylor expansion of im in im
5.551 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify 1 into 1
5.551 * [backup-simplify]: Simplify (/ -1 1) into -1
5.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.551 * [taylor]: Taking taylor expansion of -1 in im
5.551 * [backup-simplify]: Simplify -1 into -1
5.551 * [taylor]: Taking taylor expansion of im in im
5.551 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify 1 into 1
5.552 * [backup-simplify]: Simplify (/ -1 1) into -1
5.552 * [backup-simplify]: Simplify (* -1 -1) into 1
5.552 * [backup-simplify]: Simplify (+ 0 1) into 1
5.553 * [backup-simplify]: Simplify (sqrt 1) into 1
5.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.555 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.555 * [backup-simplify]: Simplify (+ 0 0) into 0
5.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.556 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.556 * [taylor]: Taking taylor expansion of re in im
5.556 * [backup-simplify]: Simplify re into re
5.556 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.556 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.557 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.557 * [taylor]: Taking taylor expansion of -1 in re
5.557 * [backup-simplify]: Simplify -1 into -1
5.557 * [taylor]: Taking taylor expansion of re in re
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify 1 into 1
5.557 * [backup-simplify]: Simplify (/ -1 1) into -1
5.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.557 * [taylor]: Taking taylor expansion of -1 in re
5.557 * [backup-simplify]: Simplify -1 into -1
5.557 * [taylor]: Taking taylor expansion of re in re
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify 1 into 1
5.558 * [backup-simplify]: Simplify (/ -1 1) into -1
5.558 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.558 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.558 * [taylor]: Taking taylor expansion of -1 in re
5.558 * [backup-simplify]: Simplify -1 into -1
5.558 * [taylor]: Taking taylor expansion of im in re
5.558 * [backup-simplify]: Simplify im into im
5.558 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.558 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.558 * [taylor]: Taking taylor expansion of -1 in re
5.558 * [backup-simplify]: Simplify -1 into -1
5.558 * [taylor]: Taking taylor expansion of im in re
5.558 * [backup-simplify]: Simplify im into im
5.558 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.558 * [backup-simplify]: Simplify (* -1 -1) into 1
5.559 * [backup-simplify]: Simplify (+ 1 0) into 1
5.559 * [backup-simplify]: Simplify (sqrt 1) into 1
5.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.562 * [backup-simplify]: Simplify (+ 0 0) into 0
5.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.563 * [taylor]: Taking taylor expansion of re in re
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 1 into 1
5.563 * [backup-simplify]: Simplify (/ 1 1) into 1
5.563 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.563 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.563 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.563 * [taylor]: Taking taylor expansion of -1 in re
5.563 * [backup-simplify]: Simplify -1 into -1
5.563 * [taylor]: Taking taylor expansion of re in re
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 1 into 1
5.564 * [backup-simplify]: Simplify (/ -1 1) into -1
5.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.564 * [taylor]: Taking taylor expansion of -1 in re
5.564 * [backup-simplify]: Simplify -1 into -1
5.564 * [taylor]: Taking taylor expansion of re in re
5.564 * [backup-simplify]: Simplify 0 into 0
5.564 * [backup-simplify]: Simplify 1 into 1
5.564 * [backup-simplify]: Simplify (/ -1 1) into -1
5.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.565 * [taylor]: Taking taylor expansion of -1 in re
5.565 * [backup-simplify]: Simplify -1 into -1
5.565 * [taylor]: Taking taylor expansion of im in re
5.565 * [backup-simplify]: Simplify im into im
5.565 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.565 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.565 * [taylor]: Taking taylor expansion of -1 in re
5.565 * [backup-simplify]: Simplify -1 into -1
5.565 * [taylor]: Taking taylor expansion of im in re
5.565 * [backup-simplify]: Simplify im into im
5.565 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.565 * [backup-simplify]: Simplify (* -1 -1) into 1
5.566 * [backup-simplify]: Simplify (+ 1 0) into 1
5.566 * [backup-simplify]: Simplify (sqrt 1) into 1
5.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.569 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.569 * [taylor]: Taking taylor expansion of re in re
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 1 into 1
5.570 * [backup-simplify]: Simplify (/ 1 1) into 1
5.570 * [backup-simplify]: Simplify (- 1) into -1
5.570 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.571 * [taylor]: Taking taylor expansion of 0 in im
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.572 * [backup-simplify]: Simplify (- 0) into 0
5.572 * [backup-simplify]: Simplify (+ 0 0) into 0
5.572 * [taylor]: Taking taylor expansion of 0 in im
5.572 * [backup-simplify]: Simplify 0 into 0
5.572 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.575 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.575 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.575 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.576 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.578 * [backup-simplify]: Simplify (- 0) into 0
5.578 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.578 * [taylor]: Taking taylor expansion of 1/2 in im
5.578 * [backup-simplify]: Simplify 1/2 into 1/2
5.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.578 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.578 * [taylor]: Taking taylor expansion of im in im
5.578 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify 1 into 1
5.578 * [backup-simplify]: Simplify (* 1 1) into 1
5.579 * [backup-simplify]: Simplify (/ 1 1) into 1
5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.584 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.584 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.584 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.584 * [backup-simplify]: Simplify (+ 0 0) into 0
5.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.586 * [backup-simplify]: Simplify (- 0) into 0
5.587 * [backup-simplify]: Simplify (+ 0 0) into 0
5.587 * [taylor]: Taking taylor expansion of 0 in im
5.587 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
5.590 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
5.590 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
5.590 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
5.590 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
5.590 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.590 * [taylor]: Taking taylor expansion of re in im
5.590 * [backup-simplify]: Simplify re into re
5.590 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.591 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.591 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.591 * [taylor]: Taking taylor expansion of (* re re) in im
5.591 * [taylor]: Taking taylor expansion of re in im
5.591 * [backup-simplify]: Simplify re into re
5.591 * [taylor]: Taking taylor expansion of re in im
5.591 * [backup-simplify]: Simplify re into re
5.591 * [taylor]: Taking taylor expansion of (* im im) in im
5.591 * [taylor]: Taking taylor expansion of im in im
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [taylor]: Taking taylor expansion of im in im
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.591 * [backup-simplify]: Simplify (* 0 0) into 0
5.592 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.592 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.592 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.592 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.593 * [backup-simplify]: Simplify (+ 0 0) into 0
5.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.593 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.593 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.593 * [backup-simplify]: Simplify (+ 0 0) into 0
5.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.594 * [taylor]: Taking taylor expansion of 2.0 in im
5.594 * [backup-simplify]: Simplify 2.0 into 2.0
5.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.594 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
5.594 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.594 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.594 * [taylor]: Taking taylor expansion of re in re
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 1 into 1
5.594 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.595 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.595 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.595 * [taylor]: Taking taylor expansion of (* re re) in re
5.595 * [taylor]: Taking taylor expansion of re in re
5.595 * [backup-simplify]: Simplify 0 into 0
5.595 * [backup-simplify]: Simplify 1 into 1
5.595 * [taylor]: Taking taylor expansion of re in re
5.595 * [backup-simplify]: Simplify 0 into 0
5.595 * [backup-simplify]: Simplify 1 into 1
5.595 * [taylor]: Taking taylor expansion of (* im im) in re
5.595 * [taylor]: Taking taylor expansion of im in re
5.595 * [backup-simplify]: Simplify im into im
5.595 * [taylor]: Taking taylor expansion of im in re
5.595 * [backup-simplify]: Simplify im into im
5.595 * [backup-simplify]: Simplify (* 0 0) into 0
5.595 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.595 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.595 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.596 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.596 * [backup-simplify]: Simplify (+ 0 0) into 0
5.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.596 * [backup-simplify]: Simplify (+ 0 im) into im
5.596 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.596 * [backup-simplify]: Simplify (+ 1 0) into 1
5.596 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.596 * [taylor]: Taking taylor expansion of 2.0 in re
5.596 * [backup-simplify]: Simplify 2.0 into 2.0
5.597 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.597 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
5.597 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.597 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.597 * [taylor]: Taking taylor expansion of re in re
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.597 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.597 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.597 * [taylor]: Taking taylor expansion of (* re re) in re
5.597 * [taylor]: Taking taylor expansion of re in re
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [taylor]: Taking taylor expansion of re in re
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [taylor]: Taking taylor expansion of (* im im) in re
5.597 * [taylor]: Taking taylor expansion of im in re
5.597 * [backup-simplify]: Simplify im into im
5.597 * [taylor]: Taking taylor expansion of im in re
5.597 * [backup-simplify]: Simplify im into im
5.598 * [backup-simplify]: Simplify (* 0 0) into 0
5.598 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.598 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.598 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.598 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.599 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.599 * [backup-simplify]: Simplify (+ 0 0) into 0
5.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.599 * [backup-simplify]: Simplify (+ 0 im) into im
5.599 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.599 * [backup-simplify]: Simplify (+ 1 0) into 1
5.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.599 * [taylor]: Taking taylor expansion of 2.0 in re
5.599 * [backup-simplify]: Simplify 2.0 into 2.0
5.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.600 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
5.600 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
5.600 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.600 * [taylor]: Taking taylor expansion of 2.0 in im
5.600 * [backup-simplify]: Simplify 2.0 into 2.0
5.601 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.601 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.601 * [taylor]: Taking taylor expansion of im in im
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 1 into 1
5.601 * [backup-simplify]: Simplify (sqrt 0) into 0
5.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.603 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
5.603 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
5.603 * [taylor]: Taking taylor expansion of 1/2 in im
5.603 * [backup-simplify]: Simplify 1/2 into 1/2
5.603 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
5.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.603 * [taylor]: Taking taylor expansion of 2.0 in im
5.603 * [backup-simplify]: Simplify 2.0 into 2.0
5.603 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.604 * [taylor]: Taking taylor expansion of im in im
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 1 into 1
5.604 * [backup-simplify]: Simplify (/ 1 1) into 1
5.604 * [backup-simplify]: Simplify (sqrt 0) into 0
5.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.606 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.607 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.609 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.610 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.611 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.612 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.613 * [backup-simplify]: Simplify (+ 1 0) into 1
5.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.614 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.615 * [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))))
5.616 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
5.616 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
5.616 * [taylor]: Taking taylor expansion of 1/8 in im
5.616 * [backup-simplify]: Simplify 1/8 into 1/8
5.616 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
5.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.616 * [taylor]: Taking taylor expansion of 2.0 in im
5.616 * [backup-simplify]: Simplify 2.0 into 2.0
5.616 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.617 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.617 * [taylor]: Taking taylor expansion of im in im
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.618 * [backup-simplify]: Simplify (* 1 1) into 1
5.618 * [backup-simplify]: Simplify (* 1 1) into 1
5.618 * [backup-simplify]: Simplify (/ 1 1) into 1
5.619 * [backup-simplify]: Simplify (sqrt 0) into 0
5.620 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.628 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.630 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.630 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.634 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.635 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.638 * [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)))))))
5.639 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
5.639 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
5.639 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
5.639 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
5.639 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.639 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.639 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.639 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.639 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.639 * [taylor]: Taking taylor expansion of re in im
5.639 * [backup-simplify]: Simplify re into re
5.639 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.639 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.639 * [taylor]: Taking taylor expansion of re in im
5.639 * [backup-simplify]: Simplify re into re
5.639 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.639 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.639 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.639 * [taylor]: Taking taylor expansion of im in im
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [backup-simplify]: Simplify (/ 1 1) into 1
5.639 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.639 * [taylor]: Taking taylor expansion of im in im
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.640 * [backup-simplify]: Simplify (/ 1 1) into 1
5.640 * [backup-simplify]: Simplify (* 1 1) into 1
5.640 * [backup-simplify]: Simplify (+ 0 1) into 1
5.640 * [backup-simplify]: Simplify (sqrt 1) into 1
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.642 * [backup-simplify]: Simplify (+ 0 0) into 0
5.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.642 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.642 * [taylor]: Taking taylor expansion of re in im
5.642 * [backup-simplify]: Simplify re into re
5.642 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.642 * [backup-simplify]: Simplify (+ 1 0) into 1
5.643 * [backup-simplify]: Simplify (sqrt 0) into 0
5.643 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.643 * [taylor]: Taking taylor expansion of 2.0 in im
5.643 * [backup-simplify]: Simplify 2.0 into 2.0
5.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.644 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.644 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.644 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.644 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.644 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.644 * [taylor]: Taking taylor expansion of re in re
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify 1 into 1
5.645 * [backup-simplify]: Simplify (/ 1 1) into 1
5.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.645 * [taylor]: Taking taylor expansion of re in re
5.645 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify 1 into 1
5.645 * [backup-simplify]: Simplify (/ 1 1) into 1
5.645 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.645 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.645 * [taylor]: Taking taylor expansion of im in re
5.645 * [backup-simplify]: Simplify im into im
5.645 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.645 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.645 * [taylor]: Taking taylor expansion of im in re
5.645 * [backup-simplify]: Simplify im into im
5.645 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.645 * [backup-simplify]: Simplify (* 1 1) into 1
5.646 * [backup-simplify]: Simplify (+ 1 0) into 1
5.646 * [backup-simplify]: Simplify (sqrt 1) into 1
5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.647 * [backup-simplify]: Simplify (+ 0 0) into 0
5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.648 * [taylor]: Taking taylor expansion of re in re
5.648 * [backup-simplify]: Simplify 0 into 0
5.648 * [backup-simplify]: Simplify 1 into 1
5.648 * [backup-simplify]: Simplify (/ 1 1) into 1
5.648 * [backup-simplify]: Simplify (+ 1 1) into 2
5.648 * [backup-simplify]: Simplify (sqrt 0) into 0
5.650 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.650 * [taylor]: Taking taylor expansion of 2.0 in re
5.650 * [backup-simplify]: Simplify 2.0 into 2.0
5.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.650 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.650 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.651 * [taylor]: Taking taylor expansion of re in re
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 1 into 1
5.651 * [backup-simplify]: Simplify (/ 1 1) into 1
5.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.651 * [taylor]: Taking taylor expansion of re in re
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 1 into 1
5.651 * [backup-simplify]: Simplify (/ 1 1) into 1
5.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.651 * [taylor]: Taking taylor expansion of im in re
5.651 * [backup-simplify]: Simplify im into im
5.651 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.651 * [taylor]: Taking taylor expansion of im in re
5.651 * [backup-simplify]: Simplify im into im
5.651 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.652 * [backup-simplify]: Simplify (* 1 1) into 1
5.652 * [backup-simplify]: Simplify (+ 1 0) into 1
5.652 * [backup-simplify]: Simplify (sqrt 1) into 1
5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.653 * [backup-simplify]: Simplify (+ 0 0) into 0
5.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.654 * [taylor]: Taking taylor expansion of re in re
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 1 into 1
5.654 * [backup-simplify]: Simplify (/ 1 1) into 1
5.654 * [backup-simplify]: Simplify (+ 1 1) into 2
5.655 * [backup-simplify]: Simplify (sqrt 0) into 0
5.655 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.655 * [taylor]: Taking taylor expansion of 2.0 in re
5.655 * [backup-simplify]: Simplify 2.0 into 2.0
5.656 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.656 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
5.656 * [taylor]: Taking taylor expansion of 0 in im
5.656 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.658 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.658 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.658 * [taylor]: Taking taylor expansion of +nan.0 in im
5.658 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.658 * [taylor]: Taking taylor expansion of 2.0 in im
5.658 * [backup-simplify]: Simplify 2.0 into 2.0
5.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.664 * [backup-simplify]: Simplify 0 into 0
5.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.667 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.669 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.669 * [taylor]: Taking taylor expansion of +nan.0 in im
5.669 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.669 * [taylor]: Taking taylor expansion of 2.0 in im
5.669 * [backup-simplify]: Simplify 2.0 into 2.0
5.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.670 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.671 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.672 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.672 * [backup-simplify]: Simplify 0 into 0
5.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.674 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.676 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.677 * [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))
5.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
5.678 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
5.678 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
5.678 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.678 * [taylor]: Taking taylor expansion of +nan.0 in im
5.678 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.678 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.678 * [taylor]: Taking taylor expansion of 2.0 in im
5.679 * [backup-simplify]: Simplify 2.0 into 2.0
5.679 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.679 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.679 * [taylor]: Taking taylor expansion of im in im
5.679 * [backup-simplify]: Simplify 0 into 0
5.679 * [backup-simplify]: Simplify 1 into 1
5.680 * [backup-simplify]: Simplify (* 1 1) into 1
5.680 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.680 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.680 * [taylor]: Taking taylor expansion of +nan.0 in im
5.680 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.680 * [taylor]: Taking taylor expansion of 2.0 in im
5.680 * [backup-simplify]: Simplify 2.0 into 2.0
5.680 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.682 * [backup-simplify]: Simplify (+ 0 0) into 0
5.683 * [backup-simplify]: Simplify (- 0) into 0
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.684 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.685 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.685 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.686 * [backup-simplify]: Simplify (- 0) into 0
5.686 * [backup-simplify]: Simplify 0 into 0
5.686 * [backup-simplify]: Simplify 0 into 0
5.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.688 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.688 * [backup-simplify]: Simplify (+ 0 0) into 0
5.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.690 * [backup-simplify]: Simplify (+ 0 0) into 0
5.690 * [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)))
5.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
5.692 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
5.692 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
5.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.692 * [taylor]: Taking taylor expansion of +nan.0 in im
5.692 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.692 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.692 * [taylor]: Taking taylor expansion of 2.0 in im
5.692 * [backup-simplify]: Simplify 2.0 into 2.0
5.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.693 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.693 * [taylor]: Taking taylor expansion of im in im
5.693 * [backup-simplify]: Simplify 0 into 0
5.693 * [backup-simplify]: Simplify 1 into 1
5.693 * [backup-simplify]: Simplify (* 1 1) into 1
5.694 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.694 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.694 * [taylor]: Taking taylor expansion of +nan.0 in im
5.694 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.694 * [taylor]: Taking taylor expansion of 2.0 in im
5.694 * [backup-simplify]: Simplify 2.0 into 2.0
5.694 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.696 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.696 * [backup-simplify]: Simplify (+ 0 0) into 0
5.696 * [backup-simplify]: Simplify (- 0) into 0
5.696 * [backup-simplify]: Simplify 0 into 0
5.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.699 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.699 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.700 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.702 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.703 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.704 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.706 * [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)))))))
5.707 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
5.707 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
5.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
5.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.707 * [taylor]: Taking taylor expansion of 2.0 in im
5.707 * [backup-simplify]: Simplify 2.0 into 2.0
5.707 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.708 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
5.708 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.708 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.708 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.708 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.708 * [taylor]: Taking taylor expansion of -1 in im
5.708 * [backup-simplify]: Simplify -1 into -1
5.708 * [taylor]: Taking taylor expansion of re in im
5.708 * [backup-simplify]: Simplify re into re
5.708 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.708 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.708 * [taylor]: Taking taylor expansion of -1 in im
5.708 * [backup-simplify]: Simplify -1 into -1
5.708 * [taylor]: Taking taylor expansion of re in im
5.708 * [backup-simplify]: Simplify re into re
5.708 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.708 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.708 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.708 * [taylor]: Taking taylor expansion of -1 in im
5.708 * [backup-simplify]: Simplify -1 into -1
5.708 * [taylor]: Taking taylor expansion of im in im
5.708 * [backup-simplify]: Simplify 0 into 0
5.708 * [backup-simplify]: Simplify 1 into 1
5.709 * [backup-simplify]: Simplify (/ -1 1) into -1
5.709 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.709 * [taylor]: Taking taylor expansion of -1 in im
5.709 * [backup-simplify]: Simplify -1 into -1
5.709 * [taylor]: Taking taylor expansion of im in im
5.709 * [backup-simplify]: Simplify 0 into 0
5.709 * [backup-simplify]: Simplify 1 into 1
5.709 * [backup-simplify]: Simplify (/ -1 1) into -1
5.709 * [backup-simplify]: Simplify (* -1 -1) into 1
5.709 * [backup-simplify]: Simplify (+ 0 1) into 1
5.710 * [backup-simplify]: Simplify (sqrt 1) into 1
5.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.711 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.711 * [backup-simplify]: Simplify (+ 0 0) into 0
5.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.712 * [taylor]: Taking taylor expansion of re in im
5.712 * [backup-simplify]: Simplify re into re
5.712 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.712 * [backup-simplify]: Simplify (+ 1 0) into 1
5.712 * [backup-simplify]: Simplify (sqrt 0) into 0
5.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.713 * [taylor]: Taking taylor expansion of 2.0 in re
5.713 * [backup-simplify]: Simplify 2.0 into 2.0
5.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.714 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.714 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.714 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.714 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.714 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.714 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.714 * [taylor]: Taking taylor expansion of -1 in re
5.714 * [backup-simplify]: Simplify -1 into -1
5.714 * [taylor]: Taking taylor expansion of re in re
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.714 * [backup-simplify]: Simplify (/ -1 1) into -1
5.714 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.714 * [taylor]: Taking taylor expansion of -1 in re
5.714 * [backup-simplify]: Simplify -1 into -1
5.714 * [taylor]: Taking taylor expansion of re in re
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.715 * [backup-simplify]: Simplify (/ -1 1) into -1
5.715 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.715 * [taylor]: Taking taylor expansion of -1 in re
5.715 * [backup-simplify]: Simplify -1 into -1
5.715 * [taylor]: Taking taylor expansion of im in re
5.715 * [backup-simplify]: Simplify im into im
5.715 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.715 * [taylor]: Taking taylor expansion of -1 in re
5.715 * [backup-simplify]: Simplify -1 into -1
5.715 * [taylor]: Taking taylor expansion of im in re
5.715 * [backup-simplify]: Simplify im into im
5.715 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.715 * [backup-simplify]: Simplify (* -1 -1) into 1
5.715 * [backup-simplify]: Simplify (+ 1 0) into 1
5.716 * [backup-simplify]: Simplify (sqrt 1) into 1
5.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.717 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.717 * [backup-simplify]: Simplify (+ 0 0) into 0
5.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.717 * [taylor]: Taking taylor expansion of re in re
5.718 * [backup-simplify]: Simplify 0 into 0
5.718 * [backup-simplify]: Simplify 1 into 1
5.718 * [backup-simplify]: Simplify (/ 1 1) into 1
5.718 * [backup-simplify]: Simplify (- 1) into -1
5.718 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.719 * [backup-simplify]: Simplify (- 0) into 0
5.719 * [backup-simplify]: Simplify (+ 0 0) into 0
5.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.721 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.723 * [backup-simplify]: Simplify (- 0) into 0
5.723 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.723 * [backup-simplify]: Simplify (sqrt 0) into 0
5.724 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.724 * [taylor]: Taking taylor expansion of 2.0 in re
5.724 * [backup-simplify]: Simplify 2.0 into 2.0
5.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.725 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.725 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.725 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.726 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.726 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.726 * [taylor]: Taking taylor expansion of -1 in re
5.726 * [backup-simplify]: Simplify -1 into -1
5.726 * [taylor]: Taking taylor expansion of re in re
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 1 into 1
5.726 * [backup-simplify]: Simplify (/ -1 1) into -1
5.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.726 * [taylor]: Taking taylor expansion of -1 in re
5.726 * [backup-simplify]: Simplify -1 into -1
5.726 * [taylor]: Taking taylor expansion of re in re
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 1 into 1
5.727 * [backup-simplify]: Simplify (/ -1 1) into -1
5.727 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.727 * [taylor]: Taking taylor expansion of -1 in re
5.727 * [backup-simplify]: Simplify -1 into -1
5.727 * [taylor]: Taking taylor expansion of im in re
5.727 * [backup-simplify]: Simplify im into im
5.727 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.727 * [taylor]: Taking taylor expansion of -1 in re
5.727 * [backup-simplify]: Simplify -1 into -1
5.727 * [taylor]: Taking taylor expansion of im in re
5.727 * [backup-simplify]: Simplify im into im
5.727 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.728 * [backup-simplify]: Simplify (* -1 -1) into 1
5.728 * [backup-simplify]: Simplify (+ 1 0) into 1
5.728 * [backup-simplify]: Simplify (sqrt 1) into 1
5.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.731 * [backup-simplify]: Simplify (+ 0 0) into 0
5.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.732 * [taylor]: Taking taylor expansion of re in re
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 1 into 1
5.732 * [backup-simplify]: Simplify (/ 1 1) into 1
5.732 * [backup-simplify]: Simplify (- 1) into -1
5.733 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify (- 0) into 0
5.734 * [backup-simplify]: Simplify (+ 0 0) into 0
5.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.737 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.737 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.738 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.739 * [backup-simplify]: Simplify (- 0) into 0
5.739 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.739 * [backup-simplify]: Simplify (sqrt 0) into 0
5.740 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.740 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.740 * [taylor]: Taking taylor expansion of 0 in im
5.740 * [backup-simplify]: Simplify 0 into 0
5.740 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
5.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.741 * [taylor]: Taking taylor expansion of +nan.0 in im
5.741 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.741 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.741 * [taylor]: Taking taylor expansion of 2.0 in im
5.741 * [backup-simplify]: Simplify 2.0 into 2.0
5.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.741 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.741 * [taylor]: Taking taylor expansion of im in im
5.741 * [backup-simplify]: Simplify 0 into 0
5.741 * [backup-simplify]: Simplify 1 into 1
5.742 * [backup-simplify]: Simplify (* 1 1) into 1
5.742 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.743 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.744 * [backup-simplify]: Simplify (- 0) into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.745 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.746 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.746 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.746 * [backup-simplify]: Simplify (+ 0 0) into 0
5.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (- 0) into 0
5.747 * [backup-simplify]: Simplify (+ 0 0) into 0
5.748 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
5.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.749 * [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))))
5.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
5.749 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.749 * [taylor]: Taking taylor expansion of +nan.0 in im
5.749 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.749 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.749 * [taylor]: Taking taylor expansion of 2.0 in im
5.749 * [backup-simplify]: Simplify 2.0 into 2.0
5.750 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.750 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.750 * [taylor]: Taking taylor expansion of im in im
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (* 1 1) into 1
5.751 * [backup-simplify]: Simplify (* 1 1) into 1
5.751 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.764 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.764 * [backup-simplify]: Simplify (- 0) into 0
5.764 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.766 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.766 * [backup-simplify]: Simplify (- 0) into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.768 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.768 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.769 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.769 * [backup-simplify]: Simplify (+ 0 0) into 0
5.770 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.771 * [backup-simplify]: Simplify (- 0) into 0
5.771 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.771 * [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))))))
5.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.773 * [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))))))
5.773 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
5.773 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
5.773 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.773 * [taylor]: Taking taylor expansion of +nan.0 in im
5.773 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.773 * [taylor]: Taking taylor expansion of 2.0 in im
5.773 * [backup-simplify]: Simplify 2.0 into 2.0
5.773 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.774 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.774 * [taylor]: Taking taylor expansion of im in im
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.774 * [backup-simplify]: Simplify (* 1 1) into 1
5.774 * [backup-simplify]: Simplify (* 1 1) into 1
5.775 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
5.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
5.775 * [taylor]: Taking taylor expansion of +nan.0 in im
5.775 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
5.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.775 * [taylor]: Taking taylor expansion of 2.0 in im
5.775 * [backup-simplify]: Simplify 2.0 into 2.0
5.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.776 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.776 * [taylor]: Taking taylor expansion of im in im
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.777 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.785 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.798 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
5.798 * [backup-simplify]: Simplify (- 0) into 0
5.798 * [backup-simplify]: Simplify (+ 0 0) into 0
5.798 * [backup-simplify]: Simplify (- 0) into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
5.798 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
5.798 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.798 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.799 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.799 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.799 * [taylor]: Taking taylor expansion of (* re re) in im
5.799 * [taylor]: Taking taylor expansion of re in im
5.799 * [backup-simplify]: Simplify re into re
5.799 * [taylor]: Taking taylor expansion of re in im
5.799 * [backup-simplify]: Simplify re into re
5.799 * [taylor]: Taking taylor expansion of (* im im) in im
5.799 * [taylor]: Taking taylor expansion of im in im
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 1 into 1
5.799 * [taylor]: Taking taylor expansion of im in im
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 1 into 1
5.799 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.799 * [backup-simplify]: Simplify (* 0 0) into 0
5.799 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.799 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.799 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.800 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.800 * [backup-simplify]: Simplify (+ 0 0) into 0
5.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.800 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.800 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.800 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.800 * [taylor]: Taking taylor expansion of (* re re) in re
5.800 * [taylor]: Taking taylor expansion of re in re
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 1 into 1
5.800 * [taylor]: Taking taylor expansion of re in re
5.800 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [taylor]: Taking taylor expansion of (* im im) in re
5.801 * [taylor]: Taking taylor expansion of im in re
5.801 * [backup-simplify]: Simplify im into im
5.801 * [taylor]: Taking taylor expansion of im in re
5.801 * [backup-simplify]: Simplify im into im
5.801 * [backup-simplify]: Simplify (* 0 0) into 0
5.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.801 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.801 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.801 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.802 * [backup-simplify]: Simplify (+ 0 0) into 0
5.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.802 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.802 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.802 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.802 * [taylor]: Taking taylor expansion of (* re re) in re
5.802 * [taylor]: Taking taylor expansion of re in re
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 1 into 1
5.802 * [taylor]: Taking taylor expansion of re in re
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 1 into 1
5.802 * [taylor]: Taking taylor expansion of (* im im) in re
5.802 * [taylor]: Taking taylor expansion of im in re
5.802 * [backup-simplify]: Simplify im into im
5.802 * [taylor]: Taking taylor expansion of im in re
5.802 * [backup-simplify]: Simplify im into im
5.802 * [backup-simplify]: Simplify (* 0 0) into 0
5.802 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.802 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.803 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.803 * [backup-simplify]: Simplify (+ 0 0) into 0
5.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.803 * [taylor]: Taking taylor expansion of im in im
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 1 into 1
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [taylor]: Taking taylor expansion of 0 in im
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.804 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.804 * [backup-simplify]: Simplify (+ 1 0) into 1
5.805 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.805 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.805 * [taylor]: Taking taylor expansion of 1/2 in im
5.805 * [backup-simplify]: Simplify 1/2 into 1/2
5.805 * [taylor]: Taking taylor expansion of im in im
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 1 into 1
5.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.807 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.807 * [backup-simplify]: Simplify (+ 0 0) into 0
5.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.807 * [taylor]: Taking taylor expansion of 0 in im
5.807 * [backup-simplify]: Simplify 0 into 0
5.807 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.808 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
5.808 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.808 * [taylor]: Taking taylor expansion of re in im
5.808 * [backup-simplify]: Simplify re into re
5.808 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.808 * [taylor]: Taking taylor expansion of re in im
5.808 * [backup-simplify]: Simplify re into re
5.808 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.808 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.808 * [taylor]: Taking taylor expansion of im in im
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (/ 1 1) into 1
5.809 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.809 * [taylor]: Taking taylor expansion of im in im
5.809 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (/ 1 1) into 1
5.809 * [backup-simplify]: Simplify (* 1 1) into 1
5.809 * [backup-simplify]: Simplify (+ 0 1) into 1
5.810 * [backup-simplify]: Simplify (sqrt 1) into 1
5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.811 * [backup-simplify]: Simplify (+ 0 0) into 0
5.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.811 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.812 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.812 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.812 * [taylor]: Taking taylor expansion of re in re
5.812 * [backup-simplify]: Simplify 0 into 0
5.812 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (/ 1 1) into 1
5.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.812 * [taylor]: Taking taylor expansion of re in re
5.812 * [backup-simplify]: Simplify 0 into 0
5.812 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (/ 1 1) into 1
5.812 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.812 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.812 * [taylor]: Taking taylor expansion of im in re
5.812 * [backup-simplify]: Simplify im into im
5.812 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.812 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.812 * [taylor]: Taking taylor expansion of im in re
5.812 * [backup-simplify]: Simplify im into im
5.812 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.813 * [backup-simplify]: Simplify (* 1 1) into 1
5.813 * [backup-simplify]: Simplify (+ 1 0) into 1
5.813 * [backup-simplify]: Simplify (sqrt 1) into 1
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.815 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.815 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.815 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.815 * [taylor]: Taking taylor expansion of re in re
5.815 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (/ 1 1) into 1
5.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.815 * [taylor]: Taking taylor expansion of re in re
5.815 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify 1 into 1
5.816 * [backup-simplify]: Simplify (/ 1 1) into 1
5.816 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.816 * [taylor]: Taking taylor expansion of im in re
5.816 * [backup-simplify]: Simplify im into im
5.816 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.816 * [taylor]: Taking taylor expansion of im in re
5.816 * [backup-simplify]: Simplify im into im
5.816 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.816 * [backup-simplify]: Simplify (* 1 1) into 1
5.816 * [backup-simplify]: Simplify (+ 1 0) into 1
5.816 * [backup-simplify]: Simplify (sqrt 1) into 1
5.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.818 * [backup-simplify]: Simplify (+ 0 0) into 0
5.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.818 * [taylor]: Taking taylor expansion of 1 in im
5.818 * [backup-simplify]: Simplify 1 into 1
5.818 * [taylor]: Taking taylor expansion of 0 in im
5.818 * [backup-simplify]: Simplify 0 into 0
5.818 * [backup-simplify]: Simplify 1 into 1
5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.820 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.820 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.821 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.821 * [taylor]: Taking taylor expansion of 1/2 in im
5.821 * [backup-simplify]: Simplify 1/2 into 1/2
5.821 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.821 * [taylor]: Taking taylor expansion of im in im
5.821 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify 1 into 1
5.821 * [backup-simplify]: Simplify (* 1 1) into 1
5.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.822 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.824 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.824 * [backup-simplify]: Simplify (+ 0 0) into 0
5.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.825 * [taylor]: Taking taylor expansion of 0 in im
5.825 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.826 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
5.826 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.826 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.826 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.826 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.826 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.826 * [taylor]: Taking taylor expansion of -1 in im
5.826 * [backup-simplify]: Simplify -1 into -1
5.826 * [taylor]: Taking taylor expansion of re in im
5.826 * [backup-simplify]: Simplify re into re
5.826 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.826 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.826 * [taylor]: Taking taylor expansion of -1 in im
5.826 * [backup-simplify]: Simplify -1 into -1
5.827 * [taylor]: Taking taylor expansion of re in im
5.827 * [backup-simplify]: Simplify re into re
5.827 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.827 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.827 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.827 * [taylor]: Taking taylor expansion of -1 in im
5.827 * [backup-simplify]: Simplify -1 into -1
5.827 * [taylor]: Taking taylor expansion of im in im
5.827 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 1 into 1
5.827 * [backup-simplify]: Simplify (/ -1 1) into -1
5.827 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.827 * [taylor]: Taking taylor expansion of -1 in im
5.827 * [backup-simplify]: Simplify -1 into -1
5.827 * [taylor]: Taking taylor expansion of im in im
5.827 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 1 into 1
5.827 * [backup-simplify]: Simplify (/ -1 1) into -1
5.828 * [backup-simplify]: Simplify (* -1 -1) into 1
5.828 * [backup-simplify]: Simplify (+ 0 1) into 1
5.828 * [backup-simplify]: Simplify (sqrt 1) into 1
5.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.829 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.829 * [backup-simplify]: Simplify (+ 0 0) into 0
5.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.830 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.830 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.830 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.830 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.830 * [taylor]: Taking taylor expansion of -1 in re
5.830 * [backup-simplify]: Simplify -1 into -1
5.830 * [taylor]: Taking taylor expansion of re in re
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 1 into 1
5.830 * [backup-simplify]: Simplify (/ -1 1) into -1
5.830 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.830 * [taylor]: Taking taylor expansion of -1 in re
5.831 * [backup-simplify]: Simplify -1 into -1
5.831 * [taylor]: Taking taylor expansion of re in re
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 1 into 1
5.831 * [backup-simplify]: Simplify (/ -1 1) into -1
5.831 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.831 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.831 * [taylor]: Taking taylor expansion of -1 in re
5.831 * [backup-simplify]: Simplify -1 into -1
5.831 * [taylor]: Taking taylor expansion of im in re
5.831 * [backup-simplify]: Simplify im into im
5.831 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.831 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.831 * [taylor]: Taking taylor expansion of -1 in re
5.831 * [backup-simplify]: Simplify -1 into -1
5.831 * [taylor]: Taking taylor expansion of im in re
5.831 * [backup-simplify]: Simplify im into im
5.831 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.831 * [backup-simplify]: Simplify (* -1 -1) into 1
5.832 * [backup-simplify]: Simplify (+ 1 0) into 1
5.832 * [backup-simplify]: Simplify (sqrt 1) into 1
5.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.833 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.833 * [backup-simplify]: Simplify (+ 0 0) into 0
5.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.834 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.834 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.834 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.834 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.834 * [taylor]: Taking taylor expansion of -1 in re
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of re in re
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 1 into 1
5.834 * [backup-simplify]: Simplify (/ -1 1) into -1
5.834 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.834 * [taylor]: Taking taylor expansion of -1 in re
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of re in re
5.834 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify 1 into 1
5.835 * [backup-simplify]: Simplify (/ -1 1) into -1
5.835 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.835 * [taylor]: Taking taylor expansion of -1 in re
5.835 * [backup-simplify]: Simplify -1 into -1
5.835 * [taylor]: Taking taylor expansion of im in re
5.835 * [backup-simplify]: Simplify im into im
5.835 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.835 * [taylor]: Taking taylor expansion of -1 in re
5.835 * [backup-simplify]: Simplify -1 into -1
5.835 * [taylor]: Taking taylor expansion of im in re
5.835 * [backup-simplify]: Simplify im into im
5.835 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.835 * [backup-simplify]: Simplify (* -1 -1) into 1
5.835 * [backup-simplify]: Simplify (+ 1 0) into 1
5.836 * [backup-simplify]: Simplify (sqrt 1) into 1
5.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.837 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.837 * [backup-simplify]: Simplify (+ 0 0) into 0
5.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.837 * [taylor]: Taking taylor expansion of 1 in im
5.837 * [backup-simplify]: Simplify 1 into 1
5.838 * [taylor]: Taking taylor expansion of 0 in im
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.839 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.839 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.840 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.840 * [taylor]: Taking taylor expansion of 1/2 in im
5.840 * [backup-simplify]: Simplify 1/2 into 1/2
5.840 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.840 * [taylor]: Taking taylor expansion of im in im
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 1 into 1
5.846 * [backup-simplify]: Simplify (* 1 1) into 1
5.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.848 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify 0 into 0
5.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.849 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.850 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.850 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.850 * [backup-simplify]: Simplify (+ 0 0) into 0
5.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.851 * [taylor]: Taking taylor expansion of 0 in im
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
5.852 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im)))
5.852 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0
5.852 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
5.852 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.852 * [taylor]: Taking taylor expansion of re in im
5.852 * [backup-simplify]: Simplify re into re
5.852 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.852 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.852 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.852 * [taylor]: Taking taylor expansion of (* re re) in im
5.852 * [taylor]: Taking taylor expansion of re in im
5.852 * [backup-simplify]: Simplify re into re
5.852 * [taylor]: Taking taylor expansion of re in im
5.852 * [backup-simplify]: Simplify re into re
5.852 * [taylor]: Taking taylor expansion of (* im im) in im
5.852 * [taylor]: Taking taylor expansion of im in im
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 1 into 1
5.852 * [taylor]: Taking taylor expansion of im in im
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.853 * [backup-simplify]: Simplify (* 0 0) into 0
5.853 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.853 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.853 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.853 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.854 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.854 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.854 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.854 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.854 * [taylor]: Taking taylor expansion of re in re
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.854 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.854 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.854 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.854 * [taylor]: Taking taylor expansion of (* re re) in re
5.854 * [taylor]: Taking taylor expansion of re in re
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.854 * [taylor]: Taking taylor expansion of re in re
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.854 * [taylor]: Taking taylor expansion of (* im im) in re
5.854 * [taylor]: Taking taylor expansion of im in re
5.854 * [backup-simplify]: Simplify im into im
5.854 * [taylor]: Taking taylor expansion of im in re
5.854 * [backup-simplify]: Simplify im into im
5.855 * [backup-simplify]: Simplify (* 0 0) into 0
5.855 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.855 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.855 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.855 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.856 * [backup-simplify]: Simplify (+ 0 0) into 0
5.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.856 * [backup-simplify]: Simplify (+ 0 im) into im
5.856 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.856 * [backup-simplify]: Simplify (+ 1 0) into 1
5.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.856 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.856 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.856 * [taylor]: Taking taylor expansion of re in re
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.856 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.856 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.856 * [taylor]: Taking taylor expansion of (* re re) in re
5.856 * [taylor]: Taking taylor expansion of re in re
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [taylor]: Taking taylor expansion of re in re
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [taylor]: Taking taylor expansion of (* im im) in re
5.856 * [taylor]: Taking taylor expansion of im in re
5.856 * [backup-simplify]: Simplify im into im
5.856 * [taylor]: Taking taylor expansion of im in re
5.856 * [backup-simplify]: Simplify im into im
5.857 * [backup-simplify]: Simplify (* 0 0) into 0
5.857 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.857 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.857 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.857 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.857 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.858 * [backup-simplify]: Simplify (+ 0 0) into 0
5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.858 * [backup-simplify]: Simplify (+ 0 im) into im
5.858 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.858 * [backup-simplify]: Simplify (+ 1 0) into 1
5.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.858 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.858 * [taylor]: Taking taylor expansion of im in im
5.858 * [backup-simplify]: Simplify 0 into 0
5.858 * [backup-simplify]: Simplify 1 into 1
5.858 * [backup-simplify]: Simplify (sqrt 0) into 0
5.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.859 * [backup-simplify]: Simplify 0 into 0
5.859 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
5.859 * [taylor]: Taking taylor expansion of 1/2 in im
5.859 * [backup-simplify]: Simplify 1/2 into 1/2
5.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.859 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.859 * [taylor]: Taking taylor expansion of im in im
5.859 * [backup-simplify]: Simplify 0 into 0
5.859 * [backup-simplify]: Simplify 1 into 1
5.860 * [backup-simplify]: Simplify (/ 1 1) into 1
5.860 * [backup-simplify]: Simplify (sqrt 0) into 0
5.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.861 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
5.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.862 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.862 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.863 * [backup-simplify]: Simplify (+ 1 0) into 1
5.863 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.863 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.864 * [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))))
5.864 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
5.864 * [taylor]: Taking taylor expansion of 1/8 in im
5.864 * [backup-simplify]: Simplify 1/8 into 1/8
5.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.864 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.864 * [taylor]: Taking taylor expansion of im in im
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 1 into 1
5.864 * [backup-simplify]: Simplify (* 1 1) into 1
5.864 * [backup-simplify]: Simplify (* 1 1) into 1
5.864 * [backup-simplify]: Simplify (/ 1 1) into 1
5.865 * [backup-simplify]: Simplify (sqrt 0) into 0
5.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.868 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.869 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
5.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.870 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
5.870 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))
5.870 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
5.870 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
5.870 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.870 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.870 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.870 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.871 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.871 * [taylor]: Taking taylor expansion of re in im
5.871 * [backup-simplify]: Simplify re into re
5.871 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.871 * [taylor]: Taking taylor expansion of re in im
5.871 * [backup-simplify]: Simplify re into re
5.871 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.871 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.871 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.871 * [taylor]: Taking taylor expansion of im in im
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (/ 1 1) into 1
5.871 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.871 * [taylor]: Taking taylor expansion of im in im
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (/ 1 1) into 1
5.872 * [backup-simplify]: Simplify (* 1 1) into 1
5.872 * [backup-simplify]: Simplify (+ 0 1) into 1
5.872 * [backup-simplify]: Simplify (sqrt 1) into 1
5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.873 * [backup-simplify]: Simplify (+ 0 0) into 0
5.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.874 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.874 * [taylor]: Taking taylor expansion of re in im
5.874 * [backup-simplify]: Simplify re into re
5.874 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.874 * [backup-simplify]: Simplify (+ 1 0) into 1
5.874 * [backup-simplify]: Simplify (sqrt 0) into 0
5.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.875 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.875 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.875 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.875 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.875 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.875 * [taylor]: Taking taylor expansion of re in re
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 1 into 1
5.876 * [backup-simplify]: Simplify (/ 1 1) into 1
5.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.876 * [taylor]: Taking taylor expansion of re in re
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 1 into 1
5.876 * [backup-simplify]: Simplify (/ 1 1) into 1
5.876 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.876 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.876 * [taylor]: Taking taylor expansion of im in re
5.876 * [backup-simplify]: Simplify im into im
5.876 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.876 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.876 * [taylor]: Taking taylor expansion of im in re
5.876 * [backup-simplify]: Simplify im into im
5.876 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.876 * [backup-simplify]: Simplify (* 1 1) into 1
5.877 * [backup-simplify]: Simplify (+ 1 0) into 1
5.877 * [backup-simplify]: Simplify (sqrt 1) into 1
5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.878 * [backup-simplify]: Simplify (+ 0 0) into 0
5.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.879 * [taylor]: Taking taylor expansion of re in re
5.879 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify 1 into 1
5.879 * [backup-simplify]: Simplify (/ 1 1) into 1
5.879 * [backup-simplify]: Simplify (+ 1 1) into 2
5.879 * [backup-simplify]: Simplify (sqrt 0) into 0
5.880 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.880 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.880 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.880 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.880 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.880 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.880 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.880 * [taylor]: Taking taylor expansion of re in re
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (/ 1 1) into 1
5.881 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.881 * [taylor]: Taking taylor expansion of re in re
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (/ 1 1) into 1
5.881 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.881 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.881 * [taylor]: Taking taylor expansion of im in re
5.881 * [backup-simplify]: Simplify im into im
5.881 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.881 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.881 * [taylor]: Taking taylor expansion of im in re
5.881 * [backup-simplify]: Simplify im into im
5.881 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.881 * [backup-simplify]: Simplify (* 1 1) into 1
5.882 * [backup-simplify]: Simplify (+ 1 0) into 1
5.882 * [backup-simplify]: Simplify (sqrt 1) into 1
5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.883 * [backup-simplify]: Simplify (+ 0 0) into 0
5.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.884 * [taylor]: Taking taylor expansion of re in re
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify 1 into 1
5.884 * [backup-simplify]: Simplify (/ 1 1) into 1
5.884 * [backup-simplify]: Simplify (+ 1 1) into 2
5.884 * [backup-simplify]: Simplify (sqrt 0) into 0
5.885 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.885 * [taylor]: Taking taylor expansion of 0 in im
5.885 * [backup-simplify]: Simplify 0 into 0
5.885 * [taylor]: Taking taylor expansion of +nan.0 in im
5.885 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.885 * [backup-simplify]: Simplify 0 into 0
5.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.886 * [backup-simplify]: Simplify (+ 0 0) into 0
5.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.887 * [taylor]: Taking taylor expansion of +nan.0 in im
5.887 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.887 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.887 * [backup-simplify]: Simplify 0 into 0
5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.889 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.889 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.890 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.892 * [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))
5.892 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.892 * [taylor]: Taking taylor expansion of +nan.0 in im
5.892 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.892 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.892 * [taylor]: Taking taylor expansion of 1/2 in im
5.892 * [backup-simplify]: Simplify 1/2 into 1/2
5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.892 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.892 * [taylor]: Taking taylor expansion of im in im
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [backup-simplify]: Simplify (* 1 1) into 1
5.893 * [backup-simplify]: Simplify (/ 1 1) into 1
5.893 * [taylor]: Taking taylor expansion of +nan.0 in im
5.893 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.894 * [backup-simplify]: Simplify (+ 0 0) into 0
5.894 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.895 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.895 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.895 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.897 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.897 * [backup-simplify]: Simplify (+ 0 0) into 0
5.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.898 * [backup-simplify]: Simplify (+ 0 0) into 0
5.899 * [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)))
5.899 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.899 * [taylor]: Taking taylor expansion of +nan.0 in im
5.899 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.899 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.899 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.899 * [taylor]: Taking taylor expansion of +nan.0 in im
5.899 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.899 * [taylor]: Taking taylor expansion of im in im
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 1 into 1
5.899 * [backup-simplify]: Simplify (* 1 1) into 1
5.900 * [backup-simplify]: Simplify (/ 1 1) into 1
5.900 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.900 * [taylor]: Taking taylor expansion of +nan.0 in im
5.900 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.901 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.901 * [backup-simplify]: Simplify (+ 0 0) into 0
5.902 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.902 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.903 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.903 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.906 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.907 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.909 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.909 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.910 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
5.911 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
5.911 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
5.911 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
5.911 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.911 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.911 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.911 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.911 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.911 * [taylor]: Taking taylor expansion of -1 in im
5.911 * [backup-simplify]: Simplify -1 into -1
5.911 * [taylor]: Taking taylor expansion of re in im
5.911 * [backup-simplify]: Simplify re into re
5.911 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.911 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.911 * [taylor]: Taking taylor expansion of -1 in im
5.911 * [backup-simplify]: Simplify -1 into -1
5.911 * [taylor]: Taking taylor expansion of re in im
5.911 * [backup-simplify]: Simplify re into re
5.911 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.911 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.911 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.911 * [taylor]: Taking taylor expansion of -1 in im
5.911 * [backup-simplify]: Simplify -1 into -1
5.911 * [taylor]: Taking taylor expansion of im in im
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 1 into 1
5.912 * [backup-simplify]: Simplify (/ -1 1) into -1
5.912 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.912 * [taylor]: Taking taylor expansion of -1 in im
5.912 * [backup-simplify]: Simplify -1 into -1
5.912 * [taylor]: Taking taylor expansion of im in im
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 1 into 1
5.913 * [backup-simplify]: Simplify (/ -1 1) into -1
5.913 * [backup-simplify]: Simplify (* -1 -1) into 1
5.913 * [backup-simplify]: Simplify (+ 0 1) into 1
5.914 * [backup-simplify]: Simplify (sqrt 1) into 1
5.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.916 * [backup-simplify]: Simplify (+ 0 0) into 0
5.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.917 * [taylor]: Taking taylor expansion of re in im
5.917 * [backup-simplify]: Simplify re into re
5.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.917 * [backup-simplify]: Simplify (+ 1 0) into 1
5.918 * [backup-simplify]: Simplify (sqrt 0) into 0
5.919 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.919 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.919 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.919 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.919 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.919 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.919 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.920 * [taylor]: Taking taylor expansion of -1 in re
5.920 * [backup-simplify]: Simplify -1 into -1
5.920 * [taylor]: Taking taylor expansion of re in re
5.920 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify 1 into 1
5.920 * [backup-simplify]: Simplify (/ -1 1) into -1
5.920 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.920 * [taylor]: Taking taylor expansion of -1 in re
5.920 * [backup-simplify]: Simplify -1 into -1
5.920 * [taylor]: Taking taylor expansion of re in re
5.920 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify (/ -1 1) into -1
5.921 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.921 * [taylor]: Taking taylor expansion of -1 in re
5.921 * [backup-simplify]: Simplify -1 into -1
5.921 * [taylor]: Taking taylor expansion of im in re
5.921 * [backup-simplify]: Simplify im into im
5.921 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.921 * [taylor]: Taking taylor expansion of -1 in re
5.921 * [backup-simplify]: Simplify -1 into -1
5.921 * [taylor]: Taking taylor expansion of im in re
5.921 * [backup-simplify]: Simplify im into im
5.921 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.921 * [backup-simplify]: Simplify (* -1 -1) into 1
5.922 * [backup-simplify]: Simplify (+ 1 0) into 1
5.922 * [backup-simplify]: Simplify (sqrt 1) into 1
5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.924 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.925 * [backup-simplify]: Simplify (+ 0 0) into 0
5.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.926 * [taylor]: Taking taylor expansion of re in re
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (/ 1 1) into 1
5.926 * [backup-simplify]: Simplify (- 1) into -1
5.927 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.928 * [backup-simplify]: Simplify (- 0) into 0
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.931 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.933 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (- 0) into 0
5.934 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.935 * [backup-simplify]: Simplify (sqrt 0) into 0
5.935 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.935 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.935 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.935 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.936 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.936 * [taylor]: Taking taylor expansion of -1 in re
5.936 * [backup-simplify]: Simplify -1 into -1
5.936 * [taylor]: Taking taylor expansion of re in re
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 1 into 1
5.936 * [backup-simplify]: Simplify (/ -1 1) into -1
5.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.936 * [taylor]: Taking taylor expansion of -1 in re
5.936 * [backup-simplify]: Simplify -1 into -1
5.936 * [taylor]: Taking taylor expansion of re in re
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 1 into 1
5.937 * [backup-simplify]: Simplify (/ -1 1) into -1
5.937 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.937 * [taylor]: Taking taylor expansion of -1 in re
5.937 * [backup-simplify]: Simplify -1 into -1
5.937 * [taylor]: Taking taylor expansion of im in re
5.937 * [backup-simplify]: Simplify im into im
5.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.937 * [taylor]: Taking taylor expansion of -1 in re
5.937 * [backup-simplify]: Simplify -1 into -1
5.937 * [taylor]: Taking taylor expansion of im in re
5.937 * [backup-simplify]: Simplify im into im
5.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.938 * [backup-simplify]: Simplify (* -1 -1) into 1
5.938 * [backup-simplify]: Simplify (+ 1 0) into 1
5.938 * [backup-simplify]: Simplify (sqrt 1) into 1
5.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.941 * [backup-simplify]: Simplify (+ 0 0) into 0
5.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.941 * [taylor]: Taking taylor expansion of re in re
5.942 * [backup-simplify]: Simplify 0 into 0
5.942 * [backup-simplify]: Simplify 1 into 1
5.942 * [backup-simplify]: Simplify (/ 1 1) into 1
5.942 * [backup-simplify]: Simplify (- 1) into -1
5.943 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.944 * [backup-simplify]: Simplify (- 0) into 0
5.944 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.947 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.949 * [backup-simplify]: Simplify (- 0) into 0
5.950 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.950 * [backup-simplify]: Simplify (sqrt 0) into 0
5.951 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.951 * [taylor]: Taking taylor expansion of 0 in im
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
5.951 * [taylor]: Taking taylor expansion of +nan.0 in im
5.951 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.951 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.951 * [taylor]: Taking taylor expansion of im in im
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 1 into 1
5.952 * [backup-simplify]: Simplify (* 1 1) into 1
5.959 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
5.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.964 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.964 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.964 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.965 * [backup-simplify]: Simplify (+ 0 0) into 0
5.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (- 0) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.968 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
5.968 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
5.968 * [taylor]: Taking taylor expansion of +nan.0 in im
5.968 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.968 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.968 * [taylor]: Taking taylor expansion of im in im
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [backup-simplify]: Simplify (* 1 1) into 1
5.969 * [backup-simplify]: Simplify (* 1 1) into 1
5.969 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.978 * [backup-simplify]: Simplify 0 into 0
5.978 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.982 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.982 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.982 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.984 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify (- 0) into 0
5.986 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.987 * [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))))))
5.987 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
5.987 * [taylor]: Taking taylor expansion of +nan.0 in im
5.987 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.987 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
5.987 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
5.987 * [taylor]: Taking taylor expansion of 1/8 in im
5.987 * [backup-simplify]: Simplify 1/8 into 1/8
5.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
5.987 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.987 * [taylor]: Taking taylor expansion of im in im
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.988 * [backup-simplify]: Simplify (* 1 1) into 1
5.988 * [backup-simplify]: Simplify (* 1 1) into 1
5.988 * [backup-simplify]: Simplify (/ 1 1) into 1
5.988 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
5.988 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
5.988 * [taylor]: Taking taylor expansion of +nan.0 in im
5.989 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
5.989 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.989 * [taylor]: Taking taylor expansion of im in im
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (* 1 1) into 1
5.989 * [backup-simplify]: Simplify (* 1 1) into 1
5.990 * [backup-simplify]: Simplify (* 1 1) into 1
5.990 * [backup-simplify]: Simplify (/ 1 1) into 1
5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.999 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.016 * [backup-simplify]: Simplify (- 0) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
6.018 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.018 * [backup-simplify]: Simplify (- 0) into 0
6.018 * [backup-simplify]: Simplify (+ 0 0) into 0
6.019 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
6.019 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (- 0) into 0
6.020 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
6.020 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
6.021 * [backup-simplify]: Simplify (- 0) into 0
6.021 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
6.021 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.021 * [backup-simplify]: Simplify (- 0) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.022 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.022 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.023 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.024 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * * * [progress]: simplifying candidates
6.025 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) 1)
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ (pow re 3) (pow (hypot re im) 3)))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (- (* re re) (* (hypot re im) (hypot re im))))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ 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
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
  0
6.027 * * [simplify]: Extracting # 0 : cost  0
6.027 * * [simplify]: Extracting # 1 : cost  0
6.027 * * [simplify]: Extracting # 2 : cost  0
6.027 * * [simplify]: Extracting # 3 : cost  0
6.027 * * [simplify]: Extracting # 4 : cost  0
6.027 * * [simplify]: Extracting # 5 : cost  0
6.028 * * [simplify]: Extracting # 6 : cost  0
6.028 * * [simplify]: Extracting # 7 : cost  0
6.028 * * [simplify]: Extracting # 8 : cost  0
6.028 * * [simplify]: Extracting # 9 : cost  0
6.028 * * [simplify]: Extracting # 10 : cost  0
6.028 * * [simplify]: Extracting # 11 : cost  0
6.028 * * [simplify]: iteration  0 :  135  enodes  (cost  898 )
6.055 * * [simplify]: Extracting # 0 : cost  0
6.055 * * [simplify]: Extracting # 1 : cost  0
6.056 * * [simplify]: Extracting # 2 : cost  0
6.056 * * [simplify]: Extracting # 3 : cost  0
6.056 * * [simplify]: Extracting # 4 : cost  0
6.057 * * [simplify]: iteration  1 :  298  enodes  (cost  819 )
6.227 * * [simplify]: Extracting # 0 : cost  0
6.229 * * [simplify]: Extracting # 1 : cost  0
6.230 * * [simplify]: Extracting # 2 : cost  0
6.232 * * [simplify]: Extracting # 3 : cost  0
6.233 * * [simplify]: Extracting # 4 : cost  0
6.235 * * [simplify]: iteration  2 :  742  enodes  (cost  778 )
6.927 * * [simplify]: Extracting # 0 : cost  0
6.931 * * [simplify]: Extracting # 1 : cost  0
6.935 * * [simplify]: Extracting # 2 : cost  0
6.938 * * [simplify]: Extracting # 3 : cost  0
6.942 * * [simplify]: Extracting # 4 : cost  0
6.945 * * [simplify]: iteration  3 :  1970  enodes  (cost  766 )
10.179 * * [simplify]: Extracting # 0 : cost  0
10.190 * * [simplify]: Extracting # 1 : cost  0
10.198 * * [simplify]: Extracting # 2 : cost  0
10.213 * * [simplify]: Extracting # 3 : cost  0
10.220 * * [simplify]: Extracting # 4 : cost  0
10.228 * * [simplify]: iteration done:  5000  enodes  (cost  764 )
10.229 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* 2.0 (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* 2.0 (+ re (hypot re im)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* 2.0 (+ re (hypot re im)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (fabs (cbrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (sqrt (+ re (hypot re im)))
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt 2.0))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (pow (sqrt (+ re (hypot re im))) 3)
  (fabs (cbrt (+ re (hypot re im))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  1
  (sqrt (+ re (hypot re im)))
  1
  (sqrt (+ re (hypot re im)))
  (hypot (pow re 3/2) (pow (hypot re im) 3/2))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (- (* re re) (* (hypot re im) (hypot re im))))
  (sqrt (- re (hypot re im)))
  1/2
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ re im)
  (* 2 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
  im
  re
  (- re)
  (- (* +nan.0 (- (fma re re re) im)))
  (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re)))
  0
10.230 * * * [progress]: adding candidates to table
10.538 * * [progress]: iteration 3 / 4
10.538 * * * [progress]: picking best candidate
10.551 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>
10.551 * * * [progress]: localizing error
10.565 * * * [progress]: generating rewritten candidates
10.565 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
10.577 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
10.595 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
10.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1)
10.605 * * * [progress]: generating series expansions
10.605 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
10.605 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
10.605 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
10.605 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
10.605 * [taylor]: Taking taylor expansion of re in im
10.605 * [backup-simplify]: Simplify re into re
10.605 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.606 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.606 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.606 * [taylor]: Taking taylor expansion of (* re re) in im
10.606 * [taylor]: Taking taylor expansion of re in im
10.606 * [backup-simplify]: Simplify re into re
10.606 * [taylor]: Taking taylor expansion of re in im
10.606 * [backup-simplify]: Simplify re into re
10.606 * [taylor]: Taking taylor expansion of (* im im) in im
10.606 * [taylor]: Taking taylor expansion of im in im
10.606 * [backup-simplify]: Simplify 0 into 0
10.606 * [backup-simplify]: Simplify 1 into 1
10.606 * [taylor]: Taking taylor expansion of im in im
10.606 * [backup-simplify]: Simplify 0 into 0
10.606 * [backup-simplify]: Simplify 1 into 1
10.606 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.606 * [backup-simplify]: Simplify (* 0 0) into 0
10.606 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.606 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.606 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.607 * [backup-simplify]: Simplify (+ 0 0) into 0
10.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.607 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
10.607 * [taylor]: Taking taylor expansion of re in re
10.607 * [backup-simplify]: Simplify 0 into 0
10.607 * [backup-simplify]: Simplify 1 into 1
10.607 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.607 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.607 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.607 * [taylor]: Taking taylor expansion of (* re re) in re
10.607 * [taylor]: Taking taylor expansion of re in re
10.607 * [backup-simplify]: Simplify 0 into 0
10.607 * [backup-simplify]: Simplify 1 into 1
10.607 * [taylor]: Taking taylor expansion of re in re
10.608 * [backup-simplify]: Simplify 0 into 0
10.608 * [backup-simplify]: Simplify 1 into 1
10.608 * [taylor]: Taking taylor expansion of (* im im) in re
10.608 * [taylor]: Taking taylor expansion of im in re
10.608 * [backup-simplify]: Simplify im into im
10.608 * [taylor]: Taking taylor expansion of im in re
10.608 * [backup-simplify]: Simplify im into im
10.608 * [backup-simplify]: Simplify (* 0 0) into 0
10.608 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.608 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.608 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.608 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.609 * [backup-simplify]: Simplify (+ 0 0) into 0
10.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.609 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
10.609 * [taylor]: Taking taylor expansion of re in re
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify 1 into 1
10.609 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.609 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.609 * [taylor]: Taking taylor expansion of (* re re) in re
10.609 * [taylor]: Taking taylor expansion of re in re
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify 1 into 1
10.609 * [taylor]: Taking taylor expansion of re in re
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify 1 into 1
10.609 * [taylor]: Taking taylor expansion of (* im im) in re
10.609 * [taylor]: Taking taylor expansion of im in re
10.609 * [backup-simplify]: Simplify im into im
10.609 * [taylor]: Taking taylor expansion of im in re
10.609 * [backup-simplify]: Simplify im into im
10.612 * [backup-simplify]: Simplify (* 0 0) into 0
10.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.613 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.613 * [backup-simplify]: Simplify (+ 0 0) into 0
10.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.614 * [backup-simplify]: Simplify (+ 0 im) into im
10.614 * [taylor]: Taking taylor expansion of im in im
10.614 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify 1 into 1
10.614 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify (+ 1 0) into 1
10.614 * [taylor]: Taking taylor expansion of 1 in im
10.614 * [backup-simplify]: Simplify 1 into 1
10.614 * [backup-simplify]: Simplify 1 into 1
10.614 * [backup-simplify]: Simplify 1 into 1
10.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.615 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.615 * [backup-simplify]: Simplify (+ 1 0) into 1
10.616 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.616 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
10.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
10.616 * [taylor]: Taking taylor expansion of 1/2 in im
10.616 * [backup-simplify]: Simplify 1/2 into 1/2
10.616 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.616 * [taylor]: Taking taylor expansion of im in im
10.616 * [backup-simplify]: Simplify 0 into 0
10.616 * [backup-simplify]: Simplify 1 into 1
10.616 * [backup-simplify]: Simplify (/ 1 1) into 1
10.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.617 * [backup-simplify]: Simplify 0 into 0
10.617 * [backup-simplify]: Simplify 0 into 0
10.617 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.619 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.619 * [backup-simplify]: Simplify (+ 0 0) into 0
10.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.619 * [backup-simplify]: Simplify (+ 0 0) into 0
10.620 * [taylor]: Taking taylor expansion of 0 in im
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.621 * [backup-simplify]: Simplify 0 into 0
10.621 * [backup-simplify]: Simplify 0 into 0
10.622 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
10.622 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
10.622 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
10.622 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
10.622 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.622 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.622 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.623 * [taylor]: Taking taylor expansion of re in im
10.623 * [backup-simplify]: Simplify re into re
10.623 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.623 * [taylor]: Taking taylor expansion of re in im
10.623 * [backup-simplify]: Simplify re into re
10.623 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.623 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.623 * [taylor]: Taking taylor expansion of im in im
10.623 * [backup-simplify]: Simplify 0 into 0
10.623 * [backup-simplify]: Simplify 1 into 1
10.623 * [backup-simplify]: Simplify (/ 1 1) into 1
10.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.623 * [taylor]: Taking taylor expansion of im in im
10.623 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify 1 into 1
10.624 * [backup-simplify]: Simplify (/ 1 1) into 1
10.624 * [backup-simplify]: Simplify (* 1 1) into 1
10.625 * [backup-simplify]: Simplify (+ 0 1) into 1
10.625 * [backup-simplify]: Simplify (sqrt 1) into 1
10.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.627 * [backup-simplify]: Simplify (+ 0 0) into 0
10.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.628 * [taylor]: Taking taylor expansion of re in im
10.628 * [backup-simplify]: Simplify re into re
10.628 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.628 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.628 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.629 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.629 * [taylor]: Taking taylor expansion of re in re
10.629 * [backup-simplify]: Simplify 0 into 0
10.629 * [backup-simplify]: Simplify 1 into 1
10.629 * [backup-simplify]: Simplify (/ 1 1) into 1
10.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.629 * [taylor]: Taking taylor expansion of re in re
10.629 * [backup-simplify]: Simplify 0 into 0
10.629 * [backup-simplify]: Simplify 1 into 1
10.630 * [backup-simplify]: Simplify (/ 1 1) into 1
10.630 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.630 * [taylor]: Taking taylor expansion of im in re
10.630 * [backup-simplify]: Simplify im into im
10.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.630 * [taylor]: Taking taylor expansion of im in re
10.630 * [backup-simplify]: Simplify im into im
10.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.630 * [backup-simplify]: Simplify (* 1 1) into 1
10.631 * [backup-simplify]: Simplify (+ 1 0) into 1
10.631 * [backup-simplify]: Simplify (sqrt 1) into 1
10.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.634 * [backup-simplify]: Simplify (+ 0 0) into 0
10.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.634 * [taylor]: Taking taylor expansion of re in re
10.635 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify 1 into 1
10.635 * [backup-simplify]: Simplify (/ 1 1) into 1
10.635 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.635 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.635 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.635 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.635 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.635 * [taylor]: Taking taylor expansion of re in re
10.635 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify 1 into 1
10.636 * [backup-simplify]: Simplify (/ 1 1) into 1
10.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.636 * [taylor]: Taking taylor expansion of re in re
10.636 * [backup-simplify]: Simplify 0 into 0
10.636 * [backup-simplify]: Simplify 1 into 1
10.636 * [backup-simplify]: Simplify (/ 1 1) into 1
10.636 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.636 * [taylor]: Taking taylor expansion of im in re
10.636 * [backup-simplify]: Simplify im into im
10.636 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.636 * [taylor]: Taking taylor expansion of im in re
10.636 * [backup-simplify]: Simplify im into im
10.637 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.637 * [backup-simplify]: Simplify (* 1 1) into 1
10.637 * [backup-simplify]: Simplify (+ 1 0) into 1
10.638 * [backup-simplify]: Simplify (sqrt 1) into 1
10.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.640 * [backup-simplify]: Simplify (+ 0 0) into 0
10.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.641 * [taylor]: Taking taylor expansion of re in re
10.641 * [backup-simplify]: Simplify 0 into 0
10.641 * [backup-simplify]: Simplify 1 into 1
10.641 * [backup-simplify]: Simplify (/ 1 1) into 1
10.642 * [backup-simplify]: Simplify (+ 1 1) into 2
10.642 * [taylor]: Taking taylor expansion of 2 in im
10.642 * [backup-simplify]: Simplify 2 into 2
10.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.643 * [backup-simplify]: Simplify (+ 0 0) into 0
10.643 * [taylor]: Taking taylor expansion of 0 in im
10.643 * [backup-simplify]: Simplify 0 into 0
10.643 * [backup-simplify]: Simplify 2 into 2
10.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.646 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.646 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.648 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.649 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.649 * [taylor]: Taking taylor expansion of 1/2 in im
10.649 * [backup-simplify]: Simplify 1/2 into 1/2
10.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.649 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.649 * [taylor]: Taking taylor expansion of im in im
10.649 * [backup-simplify]: Simplify 0 into 0
10.649 * [backup-simplify]: Simplify 1 into 1
10.650 * [backup-simplify]: Simplify (* 1 1) into 1
10.650 * [backup-simplify]: Simplify (/ 1 1) into 1
10.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.652 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify 0 into 0
10.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.656 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.656 * [backup-simplify]: Simplify (+ 0 0) into 0
10.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.658 * [backup-simplify]: Simplify (+ 0 0) into 0
10.658 * [taylor]: Taking taylor expansion of 0 in im
10.658 * [backup-simplify]: Simplify 0 into 0
10.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.661 * [backup-simplify]: Simplify 0 into 0
10.661 * [backup-simplify]: Simplify 0 into 0
10.661 * [backup-simplify]: Simplify 0 into 0
10.661 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
10.661 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
10.661 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
10.661 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
10.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.662 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.662 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.662 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.662 * [taylor]: Taking taylor expansion of -1 in im
10.662 * [backup-simplify]: Simplify -1 into -1
10.662 * [taylor]: Taking taylor expansion of re in im
10.662 * [backup-simplify]: Simplify re into re
10.662 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.662 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.662 * [taylor]: Taking taylor expansion of -1 in im
10.662 * [backup-simplify]: Simplify -1 into -1
10.662 * [taylor]: Taking taylor expansion of re in im
10.662 * [backup-simplify]: Simplify re into re
10.662 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.662 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.662 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.662 * [taylor]: Taking taylor expansion of -1 in im
10.662 * [backup-simplify]: Simplify -1 into -1
10.662 * [taylor]: Taking taylor expansion of im in im
10.662 * [backup-simplify]: Simplify 0 into 0
10.662 * [backup-simplify]: Simplify 1 into 1
10.663 * [backup-simplify]: Simplify (/ -1 1) into -1
10.663 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.663 * [taylor]: Taking taylor expansion of -1 in im
10.663 * [backup-simplify]: Simplify -1 into -1
10.663 * [taylor]: Taking taylor expansion of im in im
10.663 * [backup-simplify]: Simplify 0 into 0
10.663 * [backup-simplify]: Simplify 1 into 1
10.663 * [backup-simplify]: Simplify (/ -1 1) into -1
10.664 * [backup-simplify]: Simplify (* -1 -1) into 1
10.664 * [backup-simplify]: Simplify (+ 0 1) into 1
10.665 * [backup-simplify]: Simplify (sqrt 1) into 1
10.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.667 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.667 * [backup-simplify]: Simplify (+ 0 0) into 0
10.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.668 * [taylor]: Taking taylor expansion of re in im
10.668 * [backup-simplify]: Simplify re into re
10.668 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.668 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.668 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.668 * [taylor]: Taking taylor expansion of -1 in re
10.668 * [backup-simplify]: Simplify -1 into -1
10.668 * [taylor]: Taking taylor expansion of re in re
10.668 * [backup-simplify]: Simplify 0 into 0
10.669 * [backup-simplify]: Simplify 1 into 1
10.669 * [backup-simplify]: Simplify (/ -1 1) into -1
10.669 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.669 * [taylor]: Taking taylor expansion of -1 in re
10.669 * [backup-simplify]: Simplify -1 into -1
10.669 * [taylor]: Taking taylor expansion of re in re
10.669 * [backup-simplify]: Simplify 0 into 0
10.669 * [backup-simplify]: Simplify 1 into 1
10.670 * [backup-simplify]: Simplify (/ -1 1) into -1
10.670 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.670 * [taylor]: Taking taylor expansion of -1 in re
10.670 * [backup-simplify]: Simplify -1 into -1
10.670 * [taylor]: Taking taylor expansion of im in re
10.670 * [backup-simplify]: Simplify im into im
10.670 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.670 * [taylor]: Taking taylor expansion of -1 in re
10.670 * [backup-simplify]: Simplify -1 into -1
10.670 * [taylor]: Taking taylor expansion of im in re
10.670 * [backup-simplify]: Simplify im into im
10.670 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.671 * [backup-simplify]: Simplify (* -1 -1) into 1
10.671 * [backup-simplify]: Simplify (+ 1 0) into 1
10.671 * [backup-simplify]: Simplify (sqrt 1) into 1
10.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.673 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.674 * [backup-simplify]: Simplify (+ 0 0) into 0
10.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.675 * [taylor]: Taking taylor expansion of re in re
10.675 * [backup-simplify]: Simplify 0 into 0
10.675 * [backup-simplify]: Simplify 1 into 1
10.675 * [backup-simplify]: Simplify (/ 1 1) into 1
10.675 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.675 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.675 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.675 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.676 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.676 * [taylor]: Taking taylor expansion of -1 in re
10.676 * [backup-simplify]: Simplify -1 into -1
10.676 * [taylor]: Taking taylor expansion of re in re
10.676 * [backup-simplify]: Simplify 0 into 0
10.676 * [backup-simplify]: Simplify 1 into 1
10.676 * [backup-simplify]: Simplify (/ -1 1) into -1
10.676 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.676 * [taylor]: Taking taylor expansion of -1 in re
10.676 * [backup-simplify]: Simplify -1 into -1
10.676 * [taylor]: Taking taylor expansion of re in re
10.676 * [backup-simplify]: Simplify 0 into 0
10.676 * [backup-simplify]: Simplify 1 into 1
10.677 * [backup-simplify]: Simplify (/ -1 1) into -1
10.677 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.677 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.677 * [taylor]: Taking taylor expansion of -1 in re
10.677 * [backup-simplify]: Simplify -1 into -1
10.677 * [taylor]: Taking taylor expansion of im in re
10.677 * [backup-simplify]: Simplify im into im
10.677 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.677 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.677 * [taylor]: Taking taylor expansion of -1 in re
10.677 * [backup-simplify]: Simplify -1 into -1
10.677 * [taylor]: Taking taylor expansion of im in re
10.677 * [backup-simplify]: Simplify im into im
10.677 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.678 * [backup-simplify]: Simplify (* -1 -1) into 1
10.678 * [backup-simplify]: Simplify (+ 1 0) into 1
10.678 * [backup-simplify]: Simplify (sqrt 1) into 1
10.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.681 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.681 * [backup-simplify]: Simplify (+ 0 0) into 0
10.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.682 * [taylor]: Taking taylor expansion of re in re
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [backup-simplify]: Simplify 1 into 1
10.682 * [backup-simplify]: Simplify (/ 1 1) into 1
10.682 * [backup-simplify]: Simplify (- 1) into -1
10.682 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.682 * [taylor]: Taking taylor expansion of 0 in im
10.682 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.683 * [backup-simplify]: Simplify (- 0) into 0
10.683 * [backup-simplify]: Simplify (+ 0 0) into 0
10.683 * [taylor]: Taking taylor expansion of 0 in im
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 0 into 0
10.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.685 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.685 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.687 * [backup-simplify]: Simplify (- 0) into 0
10.687 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
10.687 * [taylor]: Taking taylor expansion of 1/2 in im
10.687 * [backup-simplify]: Simplify 1/2 into 1/2
10.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.687 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.687 * [taylor]: Taking taylor expansion of im in im
10.687 * [backup-simplify]: Simplify 0 into 0
10.687 * [backup-simplify]: Simplify 1 into 1
10.687 * [backup-simplify]: Simplify (* 1 1) into 1
10.687 * [backup-simplify]: Simplify (/ 1 1) into 1
10.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.690 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.690 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.691 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.691 * [backup-simplify]: Simplify (+ 0 0) into 0
10.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.692 * [backup-simplify]: Simplify (- 0) into 0
10.692 * [backup-simplify]: Simplify (+ 0 0) into 0
10.692 * [taylor]: Taking taylor expansion of 0 in im
10.692 * [backup-simplify]: Simplify 0 into 0
10.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
10.694 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
10.694 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
10.694 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.694 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.694 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.694 * [taylor]: Taking taylor expansion of (* re re) in im
10.694 * [taylor]: Taking taylor expansion of re in im
10.694 * [backup-simplify]: Simplify re into re
10.694 * [taylor]: Taking taylor expansion of re in im
10.694 * [backup-simplify]: Simplify re into re
10.694 * [taylor]: Taking taylor expansion of (* im im) in im
10.694 * [taylor]: Taking taylor expansion of im in im
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 1 into 1
10.694 * [taylor]: Taking taylor expansion of im in im
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify 1 into 1
10.694 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.695 * [backup-simplify]: Simplify (* 0 0) into 0
10.695 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.695 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.696 * [backup-simplify]: Simplify (+ 0 0) into 0
10.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.696 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.696 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.696 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.696 * [taylor]: Taking taylor expansion of (* re re) in re
10.696 * [taylor]: Taking taylor expansion of re in re
10.696 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify 1 into 1
10.696 * [taylor]: Taking taylor expansion of re in re
10.696 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify 1 into 1
10.696 * [taylor]: Taking taylor expansion of (* im im) in re
10.696 * [taylor]: Taking taylor expansion of im in re
10.696 * [backup-simplify]: Simplify im into im
10.696 * [taylor]: Taking taylor expansion of im in re
10.696 * [backup-simplify]: Simplify im into im
10.696 * [backup-simplify]: Simplify (* 0 0) into 0
10.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.696 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.697 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.697 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.698 * [taylor]: Taking taylor expansion of (* re re) in re
10.698 * [taylor]: Taking taylor expansion of re in re
10.698 * [backup-simplify]: Simplify 0 into 0
10.698 * [backup-simplify]: Simplify 1 into 1
10.698 * [taylor]: Taking taylor expansion of re in re
10.698 * [backup-simplify]: Simplify 0 into 0
10.698 * [backup-simplify]: Simplify 1 into 1
10.698 * [taylor]: Taking taylor expansion of (* im im) in re
10.698 * [taylor]: Taking taylor expansion of im in re
10.698 * [backup-simplify]: Simplify im into im
10.698 * [taylor]: Taking taylor expansion of im in re
10.698 * [backup-simplify]: Simplify im into im
10.698 * [backup-simplify]: Simplify (* 0 0) into 0
10.698 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.698 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.699 * [backup-simplify]: Simplify (+ 0 0) into 0
10.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.699 * [taylor]: Taking taylor expansion of im in im
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 1 into 1
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [taylor]: Taking taylor expansion of 0 in im
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 1 into 1
10.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.700 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.700 * [backup-simplify]: Simplify (+ 1 0) into 1
10.701 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.701 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.701 * [taylor]: Taking taylor expansion of 1/2 in im
10.701 * [backup-simplify]: Simplify 1/2 into 1/2
10.701 * [taylor]: Taking taylor expansion of im in im
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify 1 into 1
10.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
10.704 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.704 * [backup-simplify]: Simplify (+ 0 0) into 0
10.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.704 * [taylor]: Taking taylor expansion of 0 in im
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.705 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.706 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
10.706 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
10.706 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.706 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.706 * [taylor]: Taking taylor expansion of re in im
10.706 * [backup-simplify]: Simplify re into re
10.706 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.706 * [taylor]: Taking taylor expansion of re in im
10.706 * [backup-simplify]: Simplify re into re
10.707 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.707 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.707 * [taylor]: Taking taylor expansion of im in im
10.707 * [backup-simplify]: Simplify 0 into 0
10.707 * [backup-simplify]: Simplify 1 into 1
10.707 * [backup-simplify]: Simplify (/ 1 1) into 1
10.707 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.707 * [taylor]: Taking taylor expansion of im in im
10.707 * [backup-simplify]: Simplify 0 into 0
10.707 * [backup-simplify]: Simplify 1 into 1
10.708 * [backup-simplify]: Simplify (/ 1 1) into 1
10.708 * [backup-simplify]: Simplify (* 1 1) into 1
10.708 * [backup-simplify]: Simplify (+ 0 1) into 1
10.709 * [backup-simplify]: Simplify (sqrt 1) into 1
10.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.711 * [backup-simplify]: Simplify (+ 0 0) into 0
10.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.712 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.712 * [taylor]: Taking taylor expansion of re in re
10.712 * [backup-simplify]: Simplify 0 into 0
10.712 * [backup-simplify]: Simplify 1 into 1
10.713 * [backup-simplify]: Simplify (/ 1 1) into 1
10.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.713 * [taylor]: Taking taylor expansion of re in re
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 1 into 1
10.713 * [backup-simplify]: Simplify (/ 1 1) into 1
10.713 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.713 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.713 * [taylor]: Taking taylor expansion of im in re
10.713 * [backup-simplify]: Simplify im into im
10.713 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.714 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.714 * [taylor]: Taking taylor expansion of im in re
10.714 * [backup-simplify]: Simplify im into im
10.714 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.714 * [backup-simplify]: Simplify (* 1 1) into 1
10.714 * [backup-simplify]: Simplify (+ 1 0) into 1
10.715 * [backup-simplify]: Simplify (sqrt 1) into 1
10.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.717 * [backup-simplify]: Simplify (+ 0 0) into 0
10.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.718 * [taylor]: Taking taylor expansion of re in re
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 1 into 1
10.719 * [backup-simplify]: Simplify (/ 1 1) into 1
10.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.719 * [taylor]: Taking taylor expansion of re in re
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 1 into 1
10.719 * [backup-simplify]: Simplify (/ 1 1) into 1
10.719 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.720 * [taylor]: Taking taylor expansion of im in re
10.720 * [backup-simplify]: Simplify im into im
10.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.720 * [taylor]: Taking taylor expansion of im in re
10.720 * [backup-simplify]: Simplify im into im
10.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.720 * [backup-simplify]: Simplify (* 1 1) into 1
10.721 * [backup-simplify]: Simplify (+ 1 0) into 1
10.721 * [backup-simplify]: Simplify (sqrt 1) into 1
10.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.724 * [backup-simplify]: Simplify (+ 0 0) into 0
10.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.724 * [taylor]: Taking taylor expansion of 1 in im
10.725 * [backup-simplify]: Simplify 1 into 1
10.725 * [taylor]: Taking taylor expansion of 0 in im
10.725 * [backup-simplify]: Simplify 0 into 0
10.725 * [backup-simplify]: Simplify 1 into 1
10.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.727 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.728 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.729 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.729 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.729 * [taylor]: Taking taylor expansion of 1/2 in im
10.729 * [backup-simplify]: Simplify 1/2 into 1/2
10.729 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.729 * [taylor]: Taking taylor expansion of im in im
10.729 * [backup-simplify]: Simplify 0 into 0
10.729 * [backup-simplify]: Simplify 1 into 1
10.729 * [backup-simplify]: Simplify (* 1 1) into 1
10.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.732 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.733 * [backup-simplify]: Simplify (+ 0 0) into 0
10.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.733 * [taylor]: Taking taylor expansion of 0 in im
10.733 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.735 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
10.735 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
10.735 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.735 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.735 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.735 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.735 * [taylor]: Taking taylor expansion of -1 in im
10.735 * [backup-simplify]: Simplify -1 into -1
10.735 * [taylor]: Taking taylor expansion of re in im
10.735 * [backup-simplify]: Simplify re into re
10.735 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.735 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.735 * [taylor]: Taking taylor expansion of -1 in im
10.735 * [backup-simplify]: Simplify -1 into -1
10.735 * [taylor]: Taking taylor expansion of re in im
10.735 * [backup-simplify]: Simplify re into re
10.735 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.735 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.735 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.735 * [taylor]: Taking taylor expansion of -1 in im
10.735 * [backup-simplify]: Simplify -1 into -1
10.735 * [taylor]: Taking taylor expansion of im in im
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 1 into 1
10.735 * [backup-simplify]: Simplify (/ -1 1) into -1
10.736 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.736 * [taylor]: Taking taylor expansion of -1 in im
10.736 * [backup-simplify]: Simplify -1 into -1
10.736 * [taylor]: Taking taylor expansion of im in im
10.736 * [backup-simplify]: Simplify 0 into 0
10.736 * [backup-simplify]: Simplify 1 into 1
10.736 * [backup-simplify]: Simplify (/ -1 1) into -1
10.736 * [backup-simplify]: Simplify (* -1 -1) into 1
10.736 * [backup-simplify]: Simplify (+ 0 1) into 1
10.737 * [backup-simplify]: Simplify (sqrt 1) into 1
10.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.738 * [backup-simplify]: Simplify (+ 0 0) into 0
10.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.742 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.742 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.742 * [taylor]: Taking taylor expansion of -1 in re
10.742 * [backup-simplify]: Simplify -1 into -1
10.742 * [taylor]: Taking taylor expansion of re in re
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 1 into 1
10.743 * [backup-simplify]: Simplify (/ -1 1) into -1
10.743 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.743 * [taylor]: Taking taylor expansion of -1 in re
10.743 * [backup-simplify]: Simplify -1 into -1
10.743 * [taylor]: Taking taylor expansion of re in re
10.743 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify 1 into 1
10.743 * [backup-simplify]: Simplify (/ -1 1) into -1
10.743 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.743 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.743 * [taylor]: Taking taylor expansion of -1 in re
10.743 * [backup-simplify]: Simplify -1 into -1
10.743 * [taylor]: Taking taylor expansion of im in re
10.743 * [backup-simplify]: Simplify im into im
10.743 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.743 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.743 * [taylor]: Taking taylor expansion of -1 in re
10.743 * [backup-simplify]: Simplify -1 into -1
10.743 * [taylor]: Taking taylor expansion of im in re
10.743 * [backup-simplify]: Simplify im into im
10.743 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.744 * [backup-simplify]: Simplify (* -1 -1) into 1
10.744 * [backup-simplify]: Simplify (+ 1 0) into 1
10.744 * [backup-simplify]: Simplify (sqrt 1) into 1
10.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.746 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.746 * [backup-simplify]: Simplify (+ 0 0) into 0
10.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.746 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.746 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.746 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.746 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.746 * [taylor]: Taking taylor expansion of -1 in re
10.746 * [backup-simplify]: Simplify -1 into -1
10.746 * [taylor]: Taking taylor expansion of re in re
10.746 * [backup-simplify]: Simplify 0 into 0
10.746 * [backup-simplify]: Simplify 1 into 1
10.747 * [backup-simplify]: Simplify (/ -1 1) into -1
10.747 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.747 * [taylor]: Taking taylor expansion of -1 in re
10.747 * [backup-simplify]: Simplify -1 into -1
10.747 * [taylor]: Taking taylor expansion of re in re
10.747 * [backup-simplify]: Simplify 0 into 0
10.747 * [backup-simplify]: Simplify 1 into 1
10.747 * [backup-simplify]: Simplify (/ -1 1) into -1
10.747 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.747 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.747 * [taylor]: Taking taylor expansion of -1 in re
10.747 * [backup-simplify]: Simplify -1 into -1
10.747 * [taylor]: Taking taylor expansion of im in re
10.747 * [backup-simplify]: Simplify im into im
10.747 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.747 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.747 * [taylor]: Taking taylor expansion of -1 in re
10.747 * [backup-simplify]: Simplify -1 into -1
10.747 * [taylor]: Taking taylor expansion of im in re
10.747 * [backup-simplify]: Simplify im into im
10.748 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.748 * [backup-simplify]: Simplify (* -1 -1) into 1
10.748 * [backup-simplify]: Simplify (+ 1 0) into 1
10.748 * [backup-simplify]: Simplify (sqrt 1) into 1
10.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.750 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.750 * [backup-simplify]: Simplify (+ 0 0) into 0
10.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.751 * [taylor]: Taking taylor expansion of 1 in im
10.751 * [backup-simplify]: Simplify 1 into 1
10.751 * [taylor]: Taking taylor expansion of 0 in im
10.751 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify 1 into 1
10.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.754 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.754 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.756 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.756 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.756 * [taylor]: Taking taylor expansion of 1/2 in im
10.756 * [backup-simplify]: Simplify 1/2 into 1/2
10.756 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.756 * [taylor]: Taking taylor expansion of im in im
10.756 * [backup-simplify]: Simplify 0 into 0
10.756 * [backup-simplify]: Simplify 1 into 1
10.756 * [backup-simplify]: Simplify (* 1 1) into 1
10.757 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.761 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.762 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.762 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.762 * [backup-simplify]: Simplify (+ 0 0) into 0
10.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.763 * [taylor]: Taking taylor expansion of 0 in im
10.763 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.765 * [backup-simplify]: Simplify 0 into 0
10.765 * [backup-simplify]: Simplify 0 into 0
10.765 * [backup-simplify]: Simplify 0 into 0
10.765 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.765 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
10.765 * [backup-simplify]: Simplify (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
10.765 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
10.765 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
10.765 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
10.765 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
10.765 * [taylor]: Taking taylor expansion of re in im
10.765 * [backup-simplify]: Simplify re into re
10.766 * [taylor]: Taking taylor expansion of (hypot re im) in im
10.766 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.766 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
10.766 * [taylor]: Taking taylor expansion of (* re re) in im
10.766 * [taylor]: Taking taylor expansion of re in im
10.766 * [backup-simplify]: Simplify re into re
10.766 * [taylor]: Taking taylor expansion of re in im
10.766 * [backup-simplify]: Simplify re into re
10.766 * [taylor]: Taking taylor expansion of (* im im) in im
10.766 * [taylor]: Taking taylor expansion of im in im
10.766 * [backup-simplify]: Simplify 0 into 0
10.766 * [backup-simplify]: Simplify 1 into 1
10.766 * [taylor]: Taking taylor expansion of im in im
10.766 * [backup-simplify]: Simplify 0 into 0
10.766 * [backup-simplify]: Simplify 1 into 1
10.766 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.767 * [backup-simplify]: Simplify (* 0 0) into 0
10.767 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
10.767 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.767 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.768 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.768 * [backup-simplify]: Simplify (+ 0 0) into 0
10.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.768 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
10.768 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
10.769 * [backup-simplify]: Simplify (+ 0 0) into 0
10.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
10.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.769 * [taylor]: Taking taylor expansion of 2.0 in im
10.769 * [backup-simplify]: Simplify 2.0 into 2.0
10.769 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.770 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
10.770 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
10.770 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
10.770 * [taylor]: Taking taylor expansion of re in re
10.770 * [backup-simplify]: Simplify 0 into 0
10.770 * [backup-simplify]: Simplify 1 into 1
10.770 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.770 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.771 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.771 * [taylor]: Taking taylor expansion of (* re re) in re
10.771 * [taylor]: Taking taylor expansion of re in re
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of re in re
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (* im im) in re
10.771 * [taylor]: Taking taylor expansion of im in re
10.771 * [backup-simplify]: Simplify im into im
10.771 * [taylor]: Taking taylor expansion of im in re
10.771 * [backup-simplify]: Simplify im into im
10.771 * [backup-simplify]: Simplify (* 0 0) into 0
10.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.771 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.772 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.772 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.773 * [backup-simplify]: Simplify (+ 0 0) into 0
10.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.773 * [backup-simplify]: Simplify (+ 0 im) into im
10.773 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.773 * [backup-simplify]: Simplify (+ 1 0) into 1
10.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
10.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.774 * [taylor]: Taking taylor expansion of 2.0 in re
10.774 * [backup-simplify]: Simplify 2.0 into 2.0
10.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.775 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
10.775 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
10.775 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
10.775 * [taylor]: Taking taylor expansion of re in re
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [taylor]: Taking taylor expansion of (hypot re im) in re
10.775 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
10.775 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
10.775 * [taylor]: Taking taylor expansion of (* re re) in re
10.775 * [taylor]: Taking taylor expansion of re in re
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [taylor]: Taking taylor expansion of re in re
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [taylor]: Taking taylor expansion of (* im im) in re
10.775 * [taylor]: Taking taylor expansion of im in re
10.775 * [backup-simplify]: Simplify im into im
10.775 * [taylor]: Taking taylor expansion of im in re
10.776 * [backup-simplify]: Simplify im into im
10.776 * [backup-simplify]: Simplify (* 0 0) into 0
10.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.776 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
10.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.777 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.777 * [backup-simplify]: Simplify (+ 0 0) into 0
10.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.778 * [backup-simplify]: Simplify (+ 0 im) into im
10.778 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
10.778 * [backup-simplify]: Simplify (+ 1 0) into 1
10.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
10.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.778 * [taylor]: Taking taylor expansion of 2.0 in re
10.778 * [backup-simplify]: Simplify 2.0 into 2.0
10.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.780 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
10.780 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
10.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.780 * [taylor]: Taking taylor expansion of 2.0 in im
10.780 * [backup-simplify]: Simplify 2.0 into 2.0
10.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.781 * [taylor]: Taking taylor expansion of (sqrt im) in im
10.781 * [taylor]: Taking taylor expansion of im in im
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify 1 into 1
10.782 * [backup-simplify]: Simplify (sqrt 0) into 0
10.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.784 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
10.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
10.784 * [taylor]: Taking taylor expansion of 1/2 in im
10.784 * [backup-simplify]: Simplify 1/2 into 1/2
10.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
10.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.785 * [taylor]: Taking taylor expansion of 2.0 in im
10.785 * [backup-simplify]: Simplify 2.0 into 2.0
10.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
10.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.786 * [taylor]: Taking taylor expansion of im in im
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 1 into 1
10.786 * [backup-simplify]: Simplify (/ 1 1) into 1
10.787 * [backup-simplify]: Simplify (sqrt 0) into 0
10.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.790 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.790 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.794 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.796 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.799 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.800 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.803 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.803 * [backup-simplify]: Simplify (+ 1 0) into 1
10.804 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.804 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
10.805 * [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))))
10.806 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
10.806 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
10.806 * [taylor]: Taking taylor expansion of 1/8 in im
10.806 * [backup-simplify]: Simplify 1/8 into 1/8
10.806 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
10.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.806 * [taylor]: Taking taylor expansion of 2.0 in im
10.806 * [backup-simplify]: Simplify 2.0 into 2.0
10.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
10.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
10.807 * [taylor]: Taking taylor expansion of (pow im 3) in im
10.807 * [taylor]: Taking taylor expansion of im in im
10.807 * [backup-simplify]: Simplify 0 into 0
10.807 * [backup-simplify]: Simplify 1 into 1
10.808 * [backup-simplify]: Simplify (* 1 1) into 1
10.808 * [backup-simplify]: Simplify (* 1 1) into 1
10.808 * [backup-simplify]: Simplify (/ 1 1) into 1
10.809 * [backup-simplify]: Simplify (sqrt 0) into 0
10.810 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.815 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.819 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.821 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
10.821 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.824 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
10.825 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.828 * [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)))))))
10.829 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
10.829 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
10.829 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
10.829 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
10.829 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
10.829 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
10.829 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.829 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
10.829 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
10.829 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.829 * [taylor]: Taking taylor expansion of re in im
10.829 * [backup-simplify]: Simplify re into re
10.829 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.829 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.829 * [taylor]: Taking taylor expansion of re in im
10.829 * [backup-simplify]: Simplify re into re
10.829 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.829 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
10.829 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.829 * [taylor]: Taking taylor expansion of im in im
10.829 * [backup-simplify]: Simplify 0 into 0
10.829 * [backup-simplify]: Simplify 1 into 1
10.830 * [backup-simplify]: Simplify (/ 1 1) into 1
10.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im
10.830 * [taylor]: Taking taylor expansion of im in im
10.830 * [backup-simplify]: Simplify 0 into 0
10.830 * [backup-simplify]: Simplify 1 into 1
10.830 * [backup-simplify]: Simplify (/ 1 1) into 1
10.830 * [backup-simplify]: Simplify (* 1 1) into 1
10.830 * [backup-simplify]: Simplify (+ 0 1) into 1
10.831 * [backup-simplify]: Simplify (sqrt 1) into 1
10.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.832 * [backup-simplify]: Simplify (+ 0 0) into 0
10.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.832 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.832 * [taylor]: Taking taylor expansion of re in im
10.832 * [backup-simplify]: Simplify re into re
10.832 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.833 * [backup-simplify]: Simplify (+ 1 0) into 1
10.833 * [backup-simplify]: Simplify (sqrt 0) into 0
10.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.834 * [taylor]: Taking taylor expansion of 2.0 in im
10.834 * [backup-simplify]: Simplify 2.0 into 2.0
10.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.834 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
10.834 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
10.834 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.834 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.835 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.835 * [taylor]: Taking taylor expansion of re in re
10.835 * [backup-simplify]: Simplify 0 into 0
10.835 * [backup-simplify]: Simplify 1 into 1
10.835 * [backup-simplify]: Simplify (/ 1 1) into 1
10.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.835 * [taylor]: Taking taylor expansion of re in re
10.835 * [backup-simplify]: Simplify 0 into 0
10.835 * [backup-simplify]: Simplify 1 into 1
10.835 * [backup-simplify]: Simplify (/ 1 1) into 1
10.835 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.835 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.835 * [taylor]: Taking taylor expansion of im in re
10.835 * [backup-simplify]: Simplify im into im
10.835 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.835 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.835 * [taylor]: Taking taylor expansion of im in re
10.835 * [backup-simplify]: Simplify im into im
10.835 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.836 * [backup-simplify]: Simplify (* 1 1) into 1
10.836 * [backup-simplify]: Simplify (+ 1 0) into 1
10.836 * [backup-simplify]: Simplify (sqrt 1) into 1
10.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.838 * [backup-simplify]: Simplify (+ 0 0) into 0
10.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.838 * [taylor]: Taking taylor expansion of re in re
10.838 * [backup-simplify]: Simplify 0 into 0
10.838 * [backup-simplify]: Simplify 1 into 1
10.838 * [backup-simplify]: Simplify (/ 1 1) into 1
10.839 * [backup-simplify]: Simplify (+ 1 1) into 2
10.839 * [backup-simplify]: Simplify (sqrt 0) into 0
10.840 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
10.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.840 * [taylor]: Taking taylor expansion of 2.0 in re
10.840 * [backup-simplify]: Simplify 2.0 into 2.0
10.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
10.840 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
10.840 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
10.840 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
10.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
10.841 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
10.841 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
10.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.841 * [taylor]: Taking taylor expansion of re in re
10.841 * [backup-simplify]: Simplify 0 into 0
10.841 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (/ 1 1) into 1
10.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.841 * [taylor]: Taking taylor expansion of re in re
10.841 * [backup-simplify]: Simplify 0 into 0
10.841 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (/ 1 1) into 1
10.841 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
10.841 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.841 * [taylor]: Taking taylor expansion of im in re
10.841 * [backup-simplify]: Simplify im into im
10.841 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.841 * [taylor]: Taking taylor expansion of (/ 1 im) in re
10.841 * [taylor]: Taking taylor expansion of im in re
10.841 * [backup-simplify]: Simplify im into im
10.841 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
10.842 * [backup-simplify]: Simplify (* 1 1) into 1
10.842 * [backup-simplify]: Simplify (+ 1 0) into 1
10.842 * [backup-simplify]: Simplify (sqrt 1) into 1
10.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.844 * [backup-simplify]: Simplify (+ 0 0) into 0
10.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.844 * [taylor]: Taking taylor expansion of re in re
10.844 * [backup-simplify]: Simplify 0 into 0
10.844 * [backup-simplify]: Simplify 1 into 1
10.844 * [backup-simplify]: Simplify (/ 1 1) into 1
10.845 * [backup-simplify]: Simplify (+ 1 1) into 2
10.845 * [backup-simplify]: Simplify (sqrt 0) into 0
10.846 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
10.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.846 * [taylor]: Taking taylor expansion of 2.0 in re
10.846 * [backup-simplify]: Simplify 2.0 into 2.0
10.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.848 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
10.848 * [taylor]: Taking taylor expansion of 0 in im
10.848 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.850 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.850 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.850 * [taylor]: Taking taylor expansion of +nan.0 in im
10.850 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.850 * [taylor]: Taking taylor expansion of 2.0 in im
10.850 * [backup-simplify]: Simplify 2.0 into 2.0
10.851 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.852 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.854 * [backup-simplify]: Simplify (+ 0 0) into 0
10.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.861 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.861 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.861 * [taylor]: Taking taylor expansion of +nan.0 in im
10.861 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.861 * [taylor]: Taking taylor expansion of 2.0 in im
10.861 * [backup-simplify]: Simplify 2.0 into 2.0
10.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.863 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.864 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.866 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.866 * [backup-simplify]: Simplify 0 into 0
10.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.875 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
10.875 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.877 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.878 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.880 * [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))
10.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
10.882 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
10.882 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
10.882 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
10.882 * [taylor]: Taking taylor expansion of +nan.0 in im
10.882 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.882 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
10.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.882 * [taylor]: Taking taylor expansion of 2.0 in im
10.882 * [backup-simplify]: Simplify 2.0 into 2.0
10.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.883 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.883 * [taylor]: Taking taylor expansion of im in im
10.883 * [backup-simplify]: Simplify 0 into 0
10.883 * [backup-simplify]: Simplify 1 into 1
10.883 * [backup-simplify]: Simplify (* 1 1) into 1
10.884 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.884 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.884 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.884 * [taylor]: Taking taylor expansion of +nan.0 in im
10.884 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.884 * [taylor]: Taking taylor expansion of 2.0 in im
10.884 * [backup-simplify]: Simplify 2.0 into 2.0
10.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.888 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.888 * [backup-simplify]: Simplify (+ 0 0) into 0
10.888 * [backup-simplify]: Simplify (- 0) into 0
10.889 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.891 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.892 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.893 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.893 * [backup-simplify]: Simplify (- 0) into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
10.898 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.901 * [backup-simplify]: Simplify (+ 0 0) into 0
10.902 * [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)))
10.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
10.905 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
10.905 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
10.905 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
10.905 * [taylor]: Taking taylor expansion of +nan.0 in im
10.905 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
10.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.905 * [taylor]: Taking taylor expansion of 2.0 in im
10.905 * [backup-simplify]: Simplify 2.0 into 2.0
10.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.906 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.906 * [taylor]: Taking taylor expansion of im in im
10.906 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify 1 into 1
10.907 * [backup-simplify]: Simplify (* 1 1) into 1
10.908 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
10.908 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
10.908 * [taylor]: Taking taylor expansion of +nan.0 in im
10.908 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.908 * [taylor]: Taking taylor expansion of 2.0 in im
10.908 * [backup-simplify]: Simplify 2.0 into 2.0
10.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.911 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.912 * [backup-simplify]: Simplify (+ 0 0) into 0
10.912 * [backup-simplify]: Simplify (- 0) into 0
10.912 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.916 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
10.917 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
10.918 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.921 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.923 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
10.924 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
10.929 * [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)))))))
10.930 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
10.930 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
10.930 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
10.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.930 * [taylor]: Taking taylor expansion of 2.0 in im
10.930 * [backup-simplify]: Simplify 2.0 into 2.0
10.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.931 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
10.931 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
10.931 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
10.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.931 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
10.932 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
10.932 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.932 * [taylor]: Taking taylor expansion of -1 in im
10.932 * [backup-simplify]: Simplify -1 into -1
10.932 * [taylor]: Taking taylor expansion of re in im
10.932 * [backup-simplify]: Simplify re into re
10.932 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.932 * [taylor]: Taking taylor expansion of (/ -1 re) in im
10.932 * [taylor]: Taking taylor expansion of -1 in im
10.932 * [backup-simplify]: Simplify -1 into -1
10.932 * [taylor]: Taking taylor expansion of re in im
10.932 * [backup-simplify]: Simplify re into re
10.932 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
10.932 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
10.932 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.932 * [taylor]: Taking taylor expansion of -1 in im
10.932 * [backup-simplify]: Simplify -1 into -1
10.932 * [taylor]: Taking taylor expansion of im in im
10.932 * [backup-simplify]: Simplify 0 into 0
10.932 * [backup-simplify]: Simplify 1 into 1
10.933 * [backup-simplify]: Simplify (/ -1 1) into -1
10.933 * [taylor]: Taking taylor expansion of (/ -1 im) in im
10.933 * [taylor]: Taking taylor expansion of -1 in im
10.933 * [backup-simplify]: Simplify -1 into -1
10.933 * [taylor]: Taking taylor expansion of im in im
10.933 * [backup-simplify]: Simplify 0 into 0
10.933 * [backup-simplify]: Simplify 1 into 1
10.933 * [backup-simplify]: Simplify (/ -1 1) into -1
10.934 * [backup-simplify]: Simplify (* -1 -1) into 1
10.934 * [backup-simplify]: Simplify (+ 0 1) into 1
10.934 * [backup-simplify]: Simplify (sqrt 1) into 1
10.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.936 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.937 * [backup-simplify]: Simplify (+ 0 0) into 0
10.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.938 * [taylor]: Taking taylor expansion of (/ 1 re) in im
10.938 * [taylor]: Taking taylor expansion of re in im
10.938 * [backup-simplify]: Simplify re into re
10.938 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
10.938 * [backup-simplify]: Simplify (+ 1 0) into 1
10.938 * [backup-simplify]: Simplify (sqrt 0) into 0
10.940 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.940 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
10.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.940 * [taylor]: Taking taylor expansion of 2.0 in re
10.940 * [backup-simplify]: Simplify 2.0 into 2.0
10.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.941 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
10.941 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.941 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.941 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.941 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.941 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.942 * [taylor]: Taking taylor expansion of -1 in re
10.942 * [backup-simplify]: Simplify -1 into -1
10.942 * [taylor]: Taking taylor expansion of re in re
10.942 * [backup-simplify]: Simplify 0 into 0
10.942 * [backup-simplify]: Simplify 1 into 1
10.942 * [backup-simplify]: Simplify (/ -1 1) into -1
10.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.942 * [taylor]: Taking taylor expansion of -1 in re
10.942 * [backup-simplify]: Simplify -1 into -1
10.942 * [taylor]: Taking taylor expansion of re in re
10.942 * [backup-simplify]: Simplify 0 into 0
10.942 * [backup-simplify]: Simplify 1 into 1
10.943 * [backup-simplify]: Simplify (/ -1 1) into -1
10.943 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.943 * [taylor]: Taking taylor expansion of -1 in re
10.943 * [backup-simplify]: Simplify -1 into -1
10.943 * [taylor]: Taking taylor expansion of im in re
10.943 * [backup-simplify]: Simplify im into im
10.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.943 * [taylor]: Taking taylor expansion of -1 in re
10.943 * [backup-simplify]: Simplify -1 into -1
10.943 * [taylor]: Taking taylor expansion of im in re
10.943 * [backup-simplify]: Simplify im into im
10.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.943 * [backup-simplify]: Simplify (* -1 -1) into 1
10.944 * [backup-simplify]: Simplify (+ 1 0) into 1
10.944 * [backup-simplify]: Simplify (sqrt 1) into 1
10.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.947 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.947 * [backup-simplify]: Simplify (+ 0 0) into 0
10.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.948 * [taylor]: Taking taylor expansion of re in re
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [backup-simplify]: Simplify (/ 1 1) into 1
10.948 * [backup-simplify]: Simplify (- 1) into -1
10.949 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.950 * [backup-simplify]: Simplify (- 0) into 0
10.950 * [backup-simplify]: Simplify (+ 0 0) into 0
10.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.953 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.955 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.956 * [backup-simplify]: Simplify (- 0) into 0
10.956 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.956 * [backup-simplify]: Simplify (sqrt 0) into 0
10.957 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
10.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
10.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
10.957 * [taylor]: Taking taylor expansion of 2.0 in re
10.957 * [backup-simplify]: Simplify 2.0 into 2.0
10.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.958 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
10.958 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
10.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
10.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
10.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
10.959 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
10.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.959 * [taylor]: Taking taylor expansion of -1 in re
10.959 * [backup-simplify]: Simplify -1 into -1
10.959 * [taylor]: Taking taylor expansion of re in re
10.959 * [backup-simplify]: Simplify 0 into 0
10.959 * [backup-simplify]: Simplify 1 into 1
10.959 * [backup-simplify]: Simplify (/ -1 1) into -1
10.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re
10.959 * [taylor]: Taking taylor expansion of -1 in re
10.959 * [backup-simplify]: Simplify -1 into -1
10.960 * [taylor]: Taking taylor expansion of re in re
10.960 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify 1 into 1
10.960 * [backup-simplify]: Simplify (/ -1 1) into -1
10.960 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
10.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.960 * [taylor]: Taking taylor expansion of -1 in re
10.960 * [backup-simplify]: Simplify -1 into -1
10.960 * [taylor]: Taking taylor expansion of im in re
10.960 * [backup-simplify]: Simplify im into im
10.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re
10.960 * [taylor]: Taking taylor expansion of -1 in re
10.960 * [backup-simplify]: Simplify -1 into -1
10.960 * [taylor]: Taking taylor expansion of im in re
10.960 * [backup-simplify]: Simplify im into im
10.960 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
10.961 * [backup-simplify]: Simplify (* -1 -1) into 1
10.961 * [backup-simplify]: Simplify (+ 1 0) into 1
10.962 * [backup-simplify]: Simplify (sqrt 1) into 1
10.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.964 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.964 * [backup-simplify]: Simplify (+ 0 0) into 0
10.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re
10.965 * [taylor]: Taking taylor expansion of re in re
10.965 * [backup-simplify]: Simplify 0 into 0
10.965 * [backup-simplify]: Simplify 1 into 1
10.965 * [backup-simplify]: Simplify (/ 1 1) into 1
10.966 * [backup-simplify]: Simplify (- 1) into -1
10.966 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.967 * [backup-simplify]: Simplify (- 0) into 0
10.968 * [backup-simplify]: Simplify (+ 0 0) into 0
10.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
10.971 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
10.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.973 * [backup-simplify]: Simplify (- 0) into 0
10.974 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
10.974 * [backup-simplify]: Simplify (sqrt 0) into 0
10.975 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
10.975 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
10.976 * [taylor]: Taking taylor expansion of 0 in im
10.976 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
10.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
10.977 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
10.977 * [taylor]: Taking taylor expansion of +nan.0 in im
10.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
10.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.977 * [taylor]: Taking taylor expansion of 2.0 in im
10.977 * [backup-simplify]: Simplify 2.0 into 2.0
10.977 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.978 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.978 * [taylor]: Taking taylor expansion of im in im
10.978 * [backup-simplify]: Simplify 0 into 0
10.978 * [backup-simplify]: Simplify 1 into 1
10.978 * [backup-simplify]: Simplify (* 1 1) into 1
10.979 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.982 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
10.982 * [backup-simplify]: Simplify (- 0) into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
10.985 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.986 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
10.986 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
10.986 * [backup-simplify]: Simplify (+ 0 0) into 0
10.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.988 * [backup-simplify]: Simplify (- 0) into 0
10.988 * [backup-simplify]: Simplify (+ 0 0) into 0
10.989 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
10.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.991 * [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))))
10.991 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
10.991 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
10.991 * [taylor]: Taking taylor expansion of +nan.0 in im
10.991 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.991 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
10.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
10.991 * [taylor]: Taking taylor expansion of 2.0 in im
10.991 * [backup-simplify]: Simplify 2.0 into 2.0
10.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.992 * [taylor]: Taking taylor expansion of (pow im 4) in im
10.992 * [taylor]: Taking taylor expansion of im in im
10.992 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify 1 into 1
10.992 * [backup-simplify]: Simplify (* 1 1) into 1
10.992 * [backup-simplify]: Simplify (* 1 1) into 1
10.993 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
10.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.999 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
10.999 * [backup-simplify]: Simplify (- 0) into 0
10.999 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.002 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.002 * [backup-simplify]: Simplify (- 0) into 0
11.002 * [backup-simplify]: Simplify 0 into 0
11.002 * [backup-simplify]: Simplify 0 into 0
11.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.007 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.007 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
11.008 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
11.008 * [backup-simplify]: Simplify (+ 0 0) into 0
11.009 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
11.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.010 * [backup-simplify]: Simplify (- 0) into 0
11.010 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
11.010 * [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))))))
11.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.012 * [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))))))
11.012 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
11.012 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
11.012 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
11.012 * [taylor]: Taking taylor expansion of +nan.0 in im
11.012 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.012 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
11.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.012 * [taylor]: Taking taylor expansion of 2.0 in im
11.012 * [backup-simplify]: Simplify 2.0 into 2.0
11.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.013 * [taylor]: Taking taylor expansion of (pow im 4) in im
11.013 * [taylor]: Taking taylor expansion of im in im
11.013 * [backup-simplify]: Simplify 0 into 0
11.013 * [backup-simplify]: Simplify 1 into 1
11.014 * [backup-simplify]: Simplify (* 1 1) into 1
11.014 * [backup-simplify]: Simplify (* 1 1) into 1
11.015 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.015 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
11.015 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
11.015 * [taylor]: Taking taylor expansion of +nan.0 in im
11.015 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.015 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
11.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
11.015 * [taylor]: Taking taylor expansion of 2.0 in im
11.015 * [backup-simplify]: Simplify 2.0 into 2.0
11.015 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.016 * [taylor]: Taking taylor expansion of (pow im 6) in im
11.016 * [taylor]: Taking taylor expansion of im in im
11.016 * [backup-simplify]: Simplify 0 into 0
11.016 * [backup-simplify]: Simplify 1 into 1
11.017 * [backup-simplify]: Simplify (* 1 1) into 1
11.017 * [backup-simplify]: Simplify (* 1 1) into 1
11.017 * [backup-simplify]: Simplify (* 1 1) into 1
11.018 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.030 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
11.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.045 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
11.045 * [backup-simplify]: Simplify (- 0) into 0
11.045 * [backup-simplify]: Simplify (+ 0 0) into 0
11.046 * [backup-simplify]: Simplify (- 0) into 0
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1)
11.046 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
11.046 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
11.046 * [taylor]: Taking taylor expansion of (hypot re im) in im
11.046 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.046 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
11.046 * [taylor]: Taking taylor expansion of (* re re) in im
11.046 * [taylor]: Taking taylor expansion of re in im
11.046 * [backup-simplify]: Simplify re into re
11.046 * [taylor]: Taking taylor expansion of re in im
11.046 * [backup-simplify]: Simplify re into re
11.046 * [taylor]: Taking taylor expansion of (* im im) in im
11.046 * [taylor]: Taking taylor expansion of im in im
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * [backup-simplify]: Simplify 1 into 1
11.046 * [taylor]: Taking taylor expansion of im in im
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * [backup-simplify]: Simplify 1 into 1
11.046 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.046 * [backup-simplify]: Simplify (* 0 0) into 0
11.047 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
11.047 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.047 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.047 * [backup-simplify]: Simplify (+ 0 0) into 0
11.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.047 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.048 * [taylor]: Taking taylor expansion of (* re re) in re
11.048 * [taylor]: Taking taylor expansion of re in re
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify 1 into 1
11.048 * [taylor]: Taking taylor expansion of re in re
11.048 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify 1 into 1
11.048 * [taylor]: Taking taylor expansion of (* im im) in re
11.048 * [taylor]: Taking taylor expansion of im in re
11.048 * [backup-simplify]: Simplify im into im
11.048 * [taylor]: Taking taylor expansion of im in re
11.048 * [backup-simplify]: Simplify im into im
11.048 * [backup-simplify]: Simplify (* 0 0) into 0
11.048 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.048 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.048 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.049 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.049 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.049 * [backup-simplify]: Simplify (+ 0 0) into 0
11.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.049 * [taylor]: Taking taylor expansion of (hypot re im) in re
11.049 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
11.049 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
11.049 * [taylor]: Taking taylor expansion of (* re re) in re
11.049 * [taylor]: Taking taylor expansion of re in re
11.049 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [taylor]: Taking taylor expansion of re in re
11.049 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [taylor]: Taking taylor expansion of (* im im) in re
11.049 * [taylor]: Taking taylor expansion of im in re
11.049 * [backup-simplify]: Simplify im into im
11.049 * [taylor]: Taking taylor expansion of im in re
11.049 * [backup-simplify]: Simplify im into im
11.050 * [backup-simplify]: Simplify (* 0 0) into 0
11.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.050 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
11.050 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.050 * [backup-simplify]: Simplify (+ 0 0) into 0
11.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.051 * [taylor]: Taking taylor expansion of im in im
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [taylor]: Taking taylor expansion of 0 in im
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.052 * [backup-simplify]: Simplify (+ 1 0) into 1
11.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.052 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.052 * [taylor]: Taking taylor expansion of 1/2 in im
11.052 * [backup-simplify]: Simplify 1/2 into 1/2
11.052 * [taylor]: Taking taylor expansion of im in im
11.052 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify 1 into 1
11.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.053 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify 0 into 0
11.054 * [backup-simplify]: Simplify 0 into 0
11.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.055 * [backup-simplify]: Simplify (+ 0 0) into 0
11.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.055 * [taylor]: Taking taylor expansion of 0 in im
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.056 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
11.056 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
11.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
11.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.056 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
11.056 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
11.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.056 * [taylor]: Taking taylor expansion of re in im
11.056 * [backup-simplify]: Simplify re into re
11.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.056 * [taylor]: Taking taylor expansion of re in im
11.056 * [backup-simplify]: Simplify re into re
11.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.056 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
11.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.056 * [taylor]: Taking taylor expansion of im in im
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify 1 into 1
11.056 * [backup-simplify]: Simplify (/ 1 1) into 1
11.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.057 * [taylor]: Taking taylor expansion of im in im
11.057 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify 1 into 1
11.057 * [backup-simplify]: Simplify (/ 1 1) into 1
11.057 * [backup-simplify]: Simplify (* 1 1) into 1
11.057 * [backup-simplify]: Simplify (+ 0 1) into 1
11.058 * [backup-simplify]: Simplify (sqrt 1) into 1
11.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.059 * [backup-simplify]: Simplify (+ 0 0) into 0
11.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.060 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.060 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.060 * [taylor]: Taking taylor expansion of re in re
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 1 into 1
11.060 * [backup-simplify]: Simplify (/ 1 1) into 1
11.060 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.060 * [taylor]: Taking taylor expansion of re in re
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 1 into 1
11.060 * [backup-simplify]: Simplify (/ 1 1) into 1
11.060 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.060 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.060 * [taylor]: Taking taylor expansion of im in re
11.060 * [backup-simplify]: Simplify im into im
11.060 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.061 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.061 * [taylor]: Taking taylor expansion of im in re
11.061 * [backup-simplify]: Simplify im into im
11.061 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.061 * [backup-simplify]: Simplify (* 1 1) into 1
11.061 * [backup-simplify]: Simplify (+ 1 0) into 1
11.061 * [backup-simplify]: Simplify (sqrt 1) into 1
11.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.063 * [backup-simplify]: Simplify (+ 0 0) into 0
11.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
11.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
11.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
11.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
11.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.063 * [taylor]: Taking taylor expansion of re in re
11.063 * [backup-simplify]: Simplify 0 into 0
11.063 * [backup-simplify]: Simplify 1 into 1
11.064 * [backup-simplify]: Simplify (/ 1 1) into 1
11.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.064 * [taylor]: Taking taylor expansion of re in re
11.064 * [backup-simplify]: Simplify 0 into 0
11.064 * [backup-simplify]: Simplify 1 into 1
11.064 * [backup-simplify]: Simplify (/ 1 1) into 1
11.064 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
11.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.064 * [taylor]: Taking taylor expansion of im in re
11.064 * [backup-simplify]: Simplify im into im
11.064 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re
11.064 * [taylor]: Taking taylor expansion of im in re
11.064 * [backup-simplify]: Simplify im into im
11.064 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
11.064 * [backup-simplify]: Simplify (* 1 1) into 1
11.065 * [backup-simplify]: Simplify (+ 1 0) into 1
11.065 * [backup-simplify]: Simplify (sqrt 1) into 1
11.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.066 * [backup-simplify]: Simplify (+ 0 0) into 0
11.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.067 * [taylor]: Taking taylor expansion of 1 in im
11.067 * [backup-simplify]: Simplify 1 into 1
11.067 * [taylor]: Taking taylor expansion of 0 in im
11.067 * [backup-simplify]: Simplify 0 into 0
11.067 * [backup-simplify]: Simplify 1 into 1
11.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.068 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
11.069 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.070 * [taylor]: Taking taylor expansion of 1/2 in im
11.070 * [backup-simplify]: Simplify 1/2 into 1/2
11.070 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.070 * [taylor]: Taking taylor expansion of im in im
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 1 into 1
11.070 * [backup-simplify]: Simplify (* 1 1) into 1
11.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.072 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify 0 into 0
11.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
11.075 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
11.076 * [backup-simplify]: Simplify (+ 0 0) into 0
11.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.077 * [taylor]: Taking taylor expansion of 0 in im
11.077 * [backup-simplify]: Simplify 0 into 0
11.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.078 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
11.078 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
11.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
11.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
11.078 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
11.078 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.078 * [taylor]: Taking taylor expansion of -1 in im
11.078 * [backup-simplify]: Simplify -1 into -1
11.078 * [taylor]: Taking taylor expansion of re in im
11.078 * [backup-simplify]: Simplify re into re
11.078 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.079 * [taylor]: Taking taylor expansion of (/ -1 re) in im
11.079 * [taylor]: Taking taylor expansion of -1 in im
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of re in im
11.079 * [backup-simplify]: Simplify re into re
11.079 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
11.079 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
11.079 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.079 * [taylor]: Taking taylor expansion of -1 in im
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of im in im
11.079 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify 1 into 1
11.079 * [backup-simplify]: Simplify (/ -1 1) into -1
11.079 * [taylor]: Taking taylor expansion of (/ -1 im) in im
11.079 * [taylor]: Taking taylor expansion of -1 in im
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of im in im
11.079 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify 1 into 1
11.079 * [backup-simplify]: Simplify (/ -1 1) into -1
11.080 * [backup-simplify]: Simplify (* -1 -1) into 1
11.080 * [backup-simplify]: Simplify (+ 0 1) into 1
11.080 * [backup-simplify]: Simplify (sqrt 1) into 1
11.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.082 * [backup-simplify]: Simplify (+ 0 0) into 0
11.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.082 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.082 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.082 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.082 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.082 * [taylor]: Taking taylor expansion of -1 in re
11.082 * [backup-simplify]: Simplify -1 into -1
11.082 * [taylor]: Taking taylor expansion of re in re
11.082 * [backup-simplify]: Simplify 0 into 0
11.082 * [backup-simplify]: Simplify 1 into 1
11.082 * [backup-simplify]: Simplify (/ -1 1) into -1
11.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.083 * [taylor]: Taking taylor expansion of -1 in re
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of re in re
11.083 * [backup-simplify]: Simplify 0 into 0
11.083 * [backup-simplify]: Simplify 1 into 1
11.083 * [backup-simplify]: Simplify (/ -1 1) into -1
11.083 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.083 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.083 * [taylor]: Taking taylor expansion of -1 in re
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of im in re
11.083 * [backup-simplify]: Simplify im into im
11.083 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.083 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.083 * [taylor]: Taking taylor expansion of -1 in re
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of im in re
11.083 * [backup-simplify]: Simplify im into im
11.083 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.083 * [backup-simplify]: Simplify (* -1 -1) into 1
11.084 * [backup-simplify]: Simplify (+ 1 0) into 1
11.084 * [backup-simplify]: Simplify (sqrt 1) into 1
11.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.085 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.085 * [backup-simplify]: Simplify (+ 0 0) into 0
11.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.086 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
11.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
11.086 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
11.086 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
11.086 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.086 * [taylor]: Taking taylor expansion of -1 in re
11.086 * [backup-simplify]: Simplify -1 into -1
11.086 * [taylor]: Taking taylor expansion of re in re
11.086 * [backup-simplify]: Simplify 0 into 0
11.086 * [backup-simplify]: Simplify 1 into 1
11.086 * [backup-simplify]: Simplify (/ -1 1) into -1
11.086 * [taylor]: Taking taylor expansion of (/ -1 re) in re
11.086 * [taylor]: Taking taylor expansion of -1 in re
11.086 * [backup-simplify]: Simplify -1 into -1
11.086 * [taylor]: Taking taylor expansion of re in re
11.086 * [backup-simplify]: Simplify 0 into 0
11.086 * [backup-simplify]: Simplify 1 into 1
11.087 * [backup-simplify]: Simplify (/ -1 1) into -1
11.087 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
11.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.087 * [taylor]: Taking taylor expansion of -1 in re
11.087 * [backup-simplify]: Simplify -1 into -1
11.087 * [taylor]: Taking taylor expansion of im in re
11.087 * [backup-simplify]: Simplify im into im
11.087 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re
11.087 * [taylor]: Taking taylor expansion of -1 in re
11.087 * [backup-simplify]: Simplify -1 into -1
11.087 * [taylor]: Taking taylor expansion of im in re
11.087 * [backup-simplify]: Simplify im into im
11.087 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
11.087 * [backup-simplify]: Simplify (* -1 -1) into 1
11.087 * [backup-simplify]: Simplify (+ 1 0) into 1
11.088 * [backup-simplify]: Simplify (sqrt 1) into 1
11.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.089 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.089 * [backup-simplify]: Simplify (+ 0 0) into 0
11.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.090 * [taylor]: Taking taylor expansion of 1 in im
11.090 * [backup-simplify]: Simplify 1 into 1
11.090 * [taylor]: Taking taylor expansion of 0 in im
11.090 * [backup-simplify]: Simplify 0 into 0
11.090 * [backup-simplify]: Simplify 1 into 1
11.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.091 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
11.092 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.092 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.092 * [taylor]: Taking taylor expansion of 1/2 in im
11.092 * [backup-simplify]: Simplify 1/2 into 1/2
11.092 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.092 * [taylor]: Taking taylor expansion of im in im
11.092 * [backup-simplify]: Simplify 0 into 0
11.092 * [backup-simplify]: Simplify 1 into 1
11.093 * [backup-simplify]: Simplify (* 1 1) into 1
11.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.096 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.096 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
11.096 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
11.096 * [backup-simplify]: Simplify (+ 0 0) into 0
11.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.096 * [taylor]: Taking taylor expansion of 0 in im
11.096 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.098 * [backup-simplify]: Simplify 0 into 0
11.098 * [backup-simplify]: Simplify 0 into 0
11.098 * [backup-simplify]: Simplify 0 into 0
11.098 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.098 * * * [progress]: simplifying candidates
11.099 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3))
  (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (- re (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log1p (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (exp (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))
  (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (* (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))
  (sqrt (* (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) 2.0))
  (sqrt (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +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
  im
  re
  (* -1 re)
11.101 * * [simplify]: Extracting # 0 : cost  0
11.101 * * [simplify]: Extracting # 1 : cost  0
11.101 * * [simplify]: Extracting # 2 : cost  0
11.101 * * [simplify]: Extracting # 3 : cost  0
11.101 * * [simplify]: Extracting # 4 : cost  0
11.102 * * [simplify]: Extracting # 5 : cost  0
11.102 * * [simplify]: Extracting # 6 : cost  0
11.102 * * [simplify]: Extracting # 7 : cost  0
11.102 * * [simplify]: Extracting # 8 : cost  0
11.102 * * [simplify]: Extracting # 9 : cost  0
11.102 * * [simplify]: Extracting # 10 : cost  0
11.102 * * [simplify]: Extracting # 11 : cost  0
11.103 * * [simplify]: Extracting # 12 : cost  0
11.103 * * [simplify]: Extracting # 13 : cost  0
11.103 * * [simplify]: iteration  0 :  129  enodes  (cost  1271 )
11.166 * * [simplify]: Extracting # 0 : cost  0
11.167 * * [simplify]: Extracting # 1 : cost  0
11.167 * * [simplify]: Extracting # 2 : cost  0
11.167 * * [simplify]: Extracting # 3 : cost  0
11.167 * * [simplify]: Extracting # 4 : cost  0
11.168 * * [simplify]: iteration  1 :  260  enodes  (cost  679 )
11.258 * * [simplify]: Extracting # 0 : cost  0
11.259 * * [simplify]: Extracting # 1 : cost  0
11.260 * * [simplify]: Extracting # 2 : cost  0
11.262 * * [simplify]: Extracting # 3 : cost  0
11.263 * * [simplify]: Extracting # 4 : cost  0
11.264 * * [simplify]: iteration  2 :  684  enodes  (cost  634 )
11.899 * * [simplify]: Extracting # 0 : cost  0
11.904 * * [simplify]: Extracting # 1 : cost  0
11.908 * * [simplify]: Extracting # 2 : cost  0
11.910 * * [simplify]: Extracting # 3 : cost  0
11.912 * * [simplify]: Extracting # 4 : cost  0
11.915 * * [simplify]: iteration  3 :  2064  enodes  (cost  608 )
13.788 * * [simplify]: Extracting # 0 : cost  0
13.801 * * [simplify]: Extracting # 1 : cost  0
13.812 * * [simplify]: Extracting # 2 : cost  0
13.822 * * [simplify]: Extracting # 3 : cost  0
13.832 * * [simplify]: Extracting # 4 : cost  0
13.846 * * [simplify]: iteration done:  5000  enodes  (cost  597 )
13.847 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (pow (sqrt (hypot re im)) 4))
  (- re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (pow (sqrt (hypot re im)) 4)
  (hypot re im)
  (pow (sqrt (hypot re im)) 4)
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (pow (sqrt (hypot re im)) 4)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (pow (cbrt (sqrt (hypot re im))) (+ 4 1))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) 4)
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (pow (sqrt (sqrt (hypot re im))) 3)
  (hypot re im)
  (expm1 (sqrt (* 2.0 (+ (hypot re im) re))))
  (log1p (sqrt (* 2.0 (+ (hypot re im) re))))
  (log (sqrt (* 2.0 (+ (hypot re im) re))))
  (exp (sqrt (* 2.0 (+ (hypot re im) re))))
  (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))))
  (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (fma re re (* (hypot re im) (- (hypot re im) re))))
  (sqrt (* (- (* re re) (pow (sqrt (hypot re im)) 4)) 2.0))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (sqrt (sqrt (* 2.0 (+ (hypot re im) re))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re)))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
13.848 * * * [progress]: adding candidates to table
14.193 * * [progress]: iteration 4 / 4
14.193 * * * [progress]: picking best candidate
14.262 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) 2.0))))>
14.262 * * * [progress]: localizing error
14.293 * * * [progress]: generating rewritten candidates
14.293 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
14.300 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1 1)
14.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1 2)
14.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1 1 1 1)
14.308 * * * [progress]: generating series expansions
14.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
14.308 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) into (+ re (hypot re im))
14.308 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
14.308 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
14.308 * [taylor]: Taking taylor expansion of re in im
14.308 * [backup-simplify]: Simplify re into re
14.308 * [taylor]: Taking taylor expansion of (hypot re im) in im
14.308 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.308 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
14.308 * [taylor]: Taking taylor expansion of (* re re) in im
14.308 * [taylor]: Taking taylor expansion of re in im
14.309 * [backup-simplify]: Simplify re into re
14.309 * [taylor]: Taking taylor expansion of re in im
14.309 * [backup-simplify]: Simplify re into re
14.309 * [taylor]: Taking taylor expansion of (* im im) in im
14.309 * [taylor]: Taking taylor expansion of im in im
14.309 * [backup-simplify]: Simplify 0 into 0
14.309 * [backup-simplify]: Simplify 1 into 1
14.309 * [taylor]: Taking taylor expansion of im in im
14.309 * [backup-simplify]: Simplify 0 into 0
14.309 * [backup-simplify]: Simplify 1 into 1
14.309 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.309 * [backup-simplify]: Simplify (* 0 0) into 0
14.309 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.309 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.309 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.310 * [backup-simplify]: Simplify (+ 0 0) into 0
14.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.310 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
14.310 * [taylor]: Taking taylor expansion of re in re
14.310 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify 1 into 1
14.310 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.310 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.310 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.310 * [taylor]: Taking taylor expansion of (* re re) in re
14.310 * [taylor]: Taking taylor expansion of re in re
14.310 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify 1 into 1
14.310 * [taylor]: Taking taylor expansion of re in re
14.310 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify 1 into 1
14.310 * [taylor]: Taking taylor expansion of (* im im) in re
14.310 * [taylor]: Taking taylor expansion of im in re
14.310 * [backup-simplify]: Simplify im into im
14.310 * [taylor]: Taking taylor expansion of im in re
14.310 * [backup-simplify]: Simplify im into im
14.311 * [backup-simplify]: Simplify (* 0 0) into 0
14.311 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.311 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.311 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.311 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.312 * [backup-simplify]: Simplify (+ 0 0) into 0
14.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.312 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
14.312 * [taylor]: Taking taylor expansion of re in re
14.312 * [backup-simplify]: Simplify 0 into 0
14.312 * [backup-simplify]: Simplify 1 into 1
14.312 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.312 * [taylor]: Taking taylor expansion of (* re re) in re
14.312 * [taylor]: Taking taylor expansion of re in re
14.312 * [backup-simplify]: Simplify 0 into 0
14.312 * [backup-simplify]: Simplify 1 into 1
14.312 * [taylor]: Taking taylor expansion of re in re
14.312 * [backup-simplify]: Simplify 0 into 0
14.312 * [backup-simplify]: Simplify 1 into 1
14.312 * [taylor]: Taking taylor expansion of (* im im) in re
14.312 * [taylor]: Taking taylor expansion of im in re
14.312 * [backup-simplify]: Simplify im into im
14.312 * [taylor]: Taking taylor expansion of im in re
14.312 * [backup-simplify]: Simplify im into im
14.312 * [backup-simplify]: Simplify (* 0 0) into 0
14.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.312 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.312 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.313 * [backup-simplify]: Simplify (+ 0 0) into 0
14.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.313 * [backup-simplify]: Simplify (+ 0 im) into im
14.313 * [taylor]: Taking taylor expansion of im in im
14.313 * [backup-simplify]: Simplify 0 into 0
14.313 * [backup-simplify]: Simplify 1 into 1
14.313 * [backup-simplify]: Simplify 0 into 0
14.314 * [backup-simplify]: Simplify (+ 1 0) into 1
14.314 * [taylor]: Taking taylor expansion of 1 in im
14.314 * [backup-simplify]: Simplify 1 into 1
14.314 * [backup-simplify]: Simplify 1 into 1
14.314 * [backup-simplify]: Simplify 1 into 1
14.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.315 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.315 * [backup-simplify]: Simplify (+ 1 0) into 1
14.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.315 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
14.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
14.315 * [taylor]: Taking taylor expansion of 1/2 in im
14.315 * [backup-simplify]: Simplify 1/2 into 1/2
14.315 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.315 * [taylor]: Taking taylor expansion of im in im
14.315 * [backup-simplify]: Simplify 0 into 0
14.315 * [backup-simplify]: Simplify 1 into 1
14.316 * [backup-simplify]: Simplify (/ 1 1) into 1
14.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.317 * [backup-simplify]: Simplify 0 into 0
14.317 * [backup-simplify]: Simplify 0 into 0
14.317 * [backup-simplify]: Simplify 0 into 0
14.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
14.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.318 * [backup-simplify]: Simplify (+ 0 0) into 0
14.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.319 * [backup-simplify]: Simplify (+ 0 0) into 0
14.319 * [taylor]: Taking taylor expansion of 0 in im
14.319 * [backup-simplify]: Simplify 0 into 0
14.319 * [backup-simplify]: Simplify 0 into 0
14.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.321 * [backup-simplify]: Simplify 0 into 0
14.321 * [backup-simplify]: Simplify 0 into 0
14.321 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
14.322 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (pow (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) 4) (cbrt (hypot (/ 1 re) (/ 1 im))))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
14.322 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
14.322 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
14.322 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
14.322 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.322 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
14.322 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
14.322 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.322 * [taylor]: Taking taylor expansion of re in im
14.322 * [backup-simplify]: Simplify re into re
14.322 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.322 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.322 * [taylor]: Taking taylor expansion of re in im
14.322 * [backup-simplify]: Simplify re into re
14.322 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.322 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
14.322 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.322 * [taylor]: Taking taylor expansion of im in im
14.322 * [backup-simplify]: Simplify 0 into 0
14.322 * [backup-simplify]: Simplify 1 into 1
14.323 * [backup-simplify]: Simplify (/ 1 1) into 1
14.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.323 * [taylor]: Taking taylor expansion of im in im
14.323 * [backup-simplify]: Simplify 0 into 0
14.323 * [backup-simplify]: Simplify 1 into 1
14.323 * [backup-simplify]: Simplify (/ 1 1) into 1
14.324 * [backup-simplify]: Simplify (* 1 1) into 1
14.324 * [backup-simplify]: Simplify (+ 0 1) into 1
14.324 * [backup-simplify]: Simplify (sqrt 1) into 1
14.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.327 * [backup-simplify]: Simplify (+ 0 0) into 0
14.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.331 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.332 * [taylor]: Taking taylor expansion of re in im
14.332 * [backup-simplify]: Simplify re into re
14.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.332 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
14.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.332 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.332 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.332 * [taylor]: Taking taylor expansion of re in re
14.332 * [backup-simplify]: Simplify 0 into 0
14.332 * [backup-simplify]: Simplify 1 into 1
14.333 * [backup-simplify]: Simplify (/ 1 1) into 1
14.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.333 * [taylor]: Taking taylor expansion of re in re
14.333 * [backup-simplify]: Simplify 0 into 0
14.333 * [backup-simplify]: Simplify 1 into 1
14.333 * [backup-simplify]: Simplify (/ 1 1) into 1
14.333 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.333 * [taylor]: Taking taylor expansion of im in re
14.333 * [backup-simplify]: Simplify im into im
14.333 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.333 * [taylor]: Taking taylor expansion of im in re
14.333 * [backup-simplify]: Simplify im into im
14.334 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.334 * [backup-simplify]: Simplify (* 1 1) into 1
14.334 * [backup-simplify]: Simplify (+ 1 0) into 1
14.335 * [backup-simplify]: Simplify (sqrt 1) into 1
14.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.337 * [backup-simplify]: Simplify (+ 0 0) into 0
14.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.338 * [taylor]: Taking taylor expansion of re in re
14.338 * [backup-simplify]: Simplify 0 into 0
14.338 * [backup-simplify]: Simplify 1 into 1
14.338 * [backup-simplify]: Simplify (/ 1 1) into 1
14.338 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
14.338 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.338 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.338 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.338 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.338 * [taylor]: Taking taylor expansion of re in re
14.338 * [backup-simplify]: Simplify 0 into 0
14.339 * [backup-simplify]: Simplify 1 into 1
14.339 * [backup-simplify]: Simplify (/ 1 1) into 1
14.339 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.339 * [taylor]: Taking taylor expansion of re in re
14.339 * [backup-simplify]: Simplify 0 into 0
14.339 * [backup-simplify]: Simplify 1 into 1
14.339 * [backup-simplify]: Simplify (/ 1 1) into 1
14.339 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.339 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.339 * [taylor]: Taking taylor expansion of im in re
14.339 * [backup-simplify]: Simplify im into im
14.340 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.340 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.340 * [taylor]: Taking taylor expansion of im in re
14.340 * [backup-simplify]: Simplify im into im
14.340 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.340 * [backup-simplify]: Simplify (* 1 1) into 1
14.340 * [backup-simplify]: Simplify (+ 1 0) into 1
14.341 * [backup-simplify]: Simplify (sqrt 1) into 1
14.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.343 * [backup-simplify]: Simplify (+ 0 0) into 0
14.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.344 * [taylor]: Taking taylor expansion of re in re
14.344 * [backup-simplify]: Simplify 0 into 0
14.344 * [backup-simplify]: Simplify 1 into 1
14.344 * [backup-simplify]: Simplify (/ 1 1) into 1
14.345 * [backup-simplify]: Simplify (+ 1 1) into 2
14.345 * [taylor]: Taking taylor expansion of 2 in im
14.345 * [backup-simplify]: Simplify 2 into 2
14.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.346 * [backup-simplify]: Simplify (+ 0 0) into 0
14.346 * [taylor]: Taking taylor expansion of 0 in im
14.346 * [backup-simplify]: Simplify 0 into 0
14.346 * [backup-simplify]: Simplify 2 into 2
14.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.349 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
14.349 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.351 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
14.351 * [taylor]: Taking taylor expansion of 1/2 in im
14.351 * [backup-simplify]: Simplify 1/2 into 1/2
14.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.351 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.351 * [taylor]: Taking taylor expansion of im in im
14.351 * [backup-simplify]: Simplify 0 into 0
14.351 * [backup-simplify]: Simplify 1 into 1
14.352 * [backup-simplify]: Simplify (* 1 1) into 1
14.352 * [backup-simplify]: Simplify (/ 1 1) into 1
14.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.354 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify 0 into 0
14.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.357 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
14.358 * [backup-simplify]: Simplify (+ 0 0) into 0
14.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.360 * [backup-simplify]: Simplify (+ 0 0) into 0
14.360 * [taylor]: Taking taylor expansion of 0 in im
14.360 * [backup-simplify]: Simplify 0 into 0
14.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.362 * [backup-simplify]: Simplify 0 into 0
14.362 * [backup-simplify]: Simplify 0 into 0
14.362 * [backup-simplify]: Simplify 0 into 0
14.362 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
14.363 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (pow (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 4) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
14.363 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
14.363 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
14.363 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
14.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
14.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
14.364 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.364 * [taylor]: Taking taylor expansion of -1 in im
14.364 * [backup-simplify]: Simplify -1 into -1
14.364 * [taylor]: Taking taylor expansion of re in im
14.364 * [backup-simplify]: Simplify re into re
14.364 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.364 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.364 * [taylor]: Taking taylor expansion of -1 in im
14.364 * [backup-simplify]: Simplify -1 into -1
14.364 * [taylor]: Taking taylor expansion of re in im
14.364 * [backup-simplify]: Simplify re into re
14.364 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.364 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
14.364 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.364 * [taylor]: Taking taylor expansion of -1 in im
14.364 * [backup-simplify]: Simplify -1 into -1
14.364 * [taylor]: Taking taylor expansion of im in im
14.364 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify 1 into 1
14.365 * [backup-simplify]: Simplify (/ -1 1) into -1
14.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.365 * [taylor]: Taking taylor expansion of -1 in im
14.365 * [backup-simplify]: Simplify -1 into -1
14.365 * [taylor]: Taking taylor expansion of im in im
14.365 * [backup-simplify]: Simplify 0 into 0
14.365 * [backup-simplify]: Simplify 1 into 1
14.365 * [backup-simplify]: Simplify (/ -1 1) into -1
14.366 * [backup-simplify]: Simplify (* -1 -1) into 1
14.366 * [backup-simplify]: Simplify (+ 0 1) into 1
14.366 * [backup-simplify]: Simplify (sqrt 1) into 1
14.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.369 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.369 * [backup-simplify]: Simplify (+ 0 0) into 0
14.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.370 * [taylor]: Taking taylor expansion of re in im
14.370 * [backup-simplify]: Simplify re into re
14.370 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.370 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
14.370 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.370 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.370 * [taylor]: Taking taylor expansion of -1 in re
14.370 * [backup-simplify]: Simplify -1 into -1
14.370 * [taylor]: Taking taylor expansion of re in re
14.370 * [backup-simplify]: Simplify 0 into 0
14.370 * [backup-simplify]: Simplify 1 into 1
14.371 * [backup-simplify]: Simplify (/ -1 1) into -1
14.371 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.371 * [taylor]: Taking taylor expansion of -1 in re
14.371 * [backup-simplify]: Simplify -1 into -1
14.371 * [taylor]: Taking taylor expansion of re in re
14.371 * [backup-simplify]: Simplify 0 into 0
14.371 * [backup-simplify]: Simplify 1 into 1
14.371 * [backup-simplify]: Simplify (/ -1 1) into -1
14.371 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.371 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.371 * [taylor]: Taking taylor expansion of -1 in re
14.371 * [backup-simplify]: Simplify -1 into -1
14.371 * [taylor]: Taking taylor expansion of im in re
14.371 * [backup-simplify]: Simplify im into im
14.371 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.371 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.371 * [taylor]: Taking taylor expansion of -1 in re
14.371 * [backup-simplify]: Simplify -1 into -1
14.371 * [taylor]: Taking taylor expansion of im in re
14.372 * [backup-simplify]: Simplify im into im
14.372 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.372 * [backup-simplify]: Simplify (* -1 -1) into 1
14.372 * [backup-simplify]: Simplify (+ 1 0) into 1
14.373 * [backup-simplify]: Simplify (sqrt 1) into 1
14.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.375 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.375 * [backup-simplify]: Simplify (+ 0 0) into 0
14.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.376 * [taylor]: Taking taylor expansion of re in re
14.376 * [backup-simplify]: Simplify 0 into 0
14.376 * [backup-simplify]: Simplify 1 into 1
14.376 * [backup-simplify]: Simplify (/ 1 1) into 1
14.376 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
14.376 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.376 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.376 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.377 * [taylor]: Taking taylor expansion of -1 in re
14.377 * [backup-simplify]: Simplify -1 into -1
14.377 * [taylor]: Taking taylor expansion of re in re
14.377 * [backup-simplify]: Simplify 0 into 0
14.377 * [backup-simplify]: Simplify 1 into 1
14.377 * [backup-simplify]: Simplify (/ -1 1) into -1
14.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.377 * [taylor]: Taking taylor expansion of -1 in re
14.377 * [backup-simplify]: Simplify -1 into -1
14.377 * [taylor]: Taking taylor expansion of re in re
14.377 * [backup-simplify]: Simplify 0 into 0
14.377 * [backup-simplify]: Simplify 1 into 1
14.378 * [backup-simplify]: Simplify (/ -1 1) into -1
14.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.378 * [taylor]: Taking taylor expansion of -1 in re
14.378 * [backup-simplify]: Simplify -1 into -1
14.378 * [taylor]: Taking taylor expansion of im in re
14.378 * [backup-simplify]: Simplify im into im
14.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.378 * [taylor]: Taking taylor expansion of -1 in re
14.378 * [backup-simplify]: Simplify -1 into -1
14.378 * [taylor]: Taking taylor expansion of im in re
14.378 * [backup-simplify]: Simplify im into im
14.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.379 * [backup-simplify]: Simplify (* -1 -1) into 1
14.379 * [backup-simplify]: Simplify (+ 1 0) into 1
14.379 * [backup-simplify]: Simplify (sqrt 1) into 1
14.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.382 * [backup-simplify]: Simplify (+ 0 0) into 0
14.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.383 * [taylor]: Taking taylor expansion of re in re
14.383 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify 1 into 1
14.383 * [backup-simplify]: Simplify (/ 1 1) into 1
14.383 * [backup-simplify]: Simplify (- 1) into -1
14.384 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.384 * [taylor]: Taking taylor expansion of 0 in im
14.384 * [backup-simplify]: Simplify 0 into 0
14.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.385 * [backup-simplify]: Simplify (- 0) into 0
14.385 * [backup-simplify]: Simplify (+ 0 0) into 0
14.385 * [taylor]: Taking taylor expansion of 0 in im
14.385 * [backup-simplify]: Simplify 0 into 0
14.385 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.388 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.388 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.391 * [backup-simplify]: Simplify (- 0) into 0
14.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
14.391 * [taylor]: Taking taylor expansion of 1/2 in im
14.391 * [backup-simplify]: Simplify 1/2 into 1/2
14.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.391 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.391 * [taylor]: Taking taylor expansion of im in im
14.391 * [backup-simplify]: Simplify 0 into 0
14.391 * [backup-simplify]: Simplify 1 into 1
14.392 * [backup-simplify]: Simplify (* 1 1) into 1
14.392 * [backup-simplify]: Simplify (/ 1 1) into 1
14.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.394 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
14.397 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.397 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.397 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
14.398 * [backup-simplify]: Simplify (+ 0 0) into 0
14.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.399 * [backup-simplify]: Simplify (- 0) into 0
14.400 * [backup-simplify]: Simplify (+ 0 0) into 0
14.400 * [taylor]: Taking taylor expansion of 0 in im
14.400 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.402 * [backup-simplify]: Simplify 0 into 0
14.402 * [backup-simplify]: Simplify 0 into 0
14.402 * [backup-simplify]: Simplify 0 into 0
14.402 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1 1)
14.403 * [backup-simplify]: Simplify (pow (sqrt (cbrt (hypot re im))) 4) into (pow (pow (hypot re im) 1/6) 4)
14.403 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/6) 4) in (re im) around 0
14.403 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/6) 4) in im
14.403 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/6) in im
14.403 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot re im)))) in im
14.403 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot re im))) in im
14.403 * [taylor]: Taking taylor expansion of 1/6 in im
14.403 * [backup-simplify]: Simplify 1/6 into 1/6
14.403 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
14.403 * [taylor]: Taking taylor expansion of (hypot re im) in im
14.403 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.403 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
14.403 * [taylor]: Taking taylor expansion of (* re re) in im
14.403 * [taylor]: Taking taylor expansion of re in im
14.403 * [backup-simplify]: Simplify re into re
14.403 * [taylor]: Taking taylor expansion of re in im
14.403 * [backup-simplify]: Simplify re into re
14.403 * [taylor]: Taking taylor expansion of (* im im) in im
14.403 * [taylor]: Taking taylor expansion of im in im
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 1 into 1
14.403 * [taylor]: Taking taylor expansion of im in im
14.404 * [backup-simplify]: Simplify 0 into 0
14.404 * [backup-simplify]: Simplify 1 into 1
14.404 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.404 * [backup-simplify]: Simplify (* 0 0) into 0
14.404 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.404 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.404 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.405 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.405 * [backup-simplify]: Simplify (+ 0 0) into 0
14.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.406 * [backup-simplify]: Simplify (log re) into (log re)
14.406 * [backup-simplify]: Simplify (* 1/6 (log re)) into (* 1/6 (log re))
14.406 * [backup-simplify]: Simplify (exp (* 1/6 (log re))) into (pow re 1/6)
14.406 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/6) 4) in re
14.406 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/6) in re
14.406 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot re im)))) in re
14.406 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot re im))) in re
14.406 * [taylor]: Taking taylor expansion of 1/6 in re
14.406 * [backup-simplify]: Simplify 1/6 into 1/6
14.406 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.406 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.406 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.406 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.406 * [taylor]: Taking taylor expansion of (* re re) in re
14.406 * [taylor]: Taking taylor expansion of re in re
14.406 * [backup-simplify]: Simplify 0 into 0
14.406 * [backup-simplify]: Simplify 1 into 1
14.406 * [taylor]: Taking taylor expansion of re in re
14.406 * [backup-simplify]: Simplify 0 into 0
14.406 * [backup-simplify]: Simplify 1 into 1
14.406 * [taylor]: Taking taylor expansion of (* im im) in re
14.406 * [taylor]: Taking taylor expansion of im in re
14.406 * [backup-simplify]: Simplify im into im
14.406 * [taylor]: Taking taylor expansion of im in re
14.406 * [backup-simplify]: Simplify im into im
14.407 * [backup-simplify]: Simplify (* 0 0) into 0
14.407 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.407 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.407 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.408 * [backup-simplify]: Simplify (+ 0 0) into 0
14.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.408 * [backup-simplify]: Simplify (log im) into (log im)
14.409 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
14.409 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
14.409 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/6) 4) in re
14.409 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/6) in re
14.409 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot re im)))) in re
14.409 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot re im))) in re
14.409 * [taylor]: Taking taylor expansion of 1/6 in re
14.409 * [backup-simplify]: Simplify 1/6 into 1/6
14.409 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.409 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.409 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.409 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.409 * [taylor]: Taking taylor expansion of (* re re) in re
14.409 * [taylor]: Taking taylor expansion of re in re
14.409 * [backup-simplify]: Simplify 0 into 0
14.409 * [backup-simplify]: Simplify 1 into 1
14.409 * [taylor]: Taking taylor expansion of re in re
14.410 * [backup-simplify]: Simplify 0 into 0
14.410 * [backup-simplify]: Simplify 1 into 1
14.410 * [taylor]: Taking taylor expansion of (* im im) in re
14.410 * [taylor]: Taking taylor expansion of im in re
14.410 * [backup-simplify]: Simplify im into im
14.410 * [taylor]: Taking taylor expansion of im in re
14.410 * [backup-simplify]: Simplify im into im
14.410 * [backup-simplify]: Simplify (* 0 0) into 0
14.410 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.410 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.410 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.411 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.411 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.411 * [backup-simplify]: Simplify (+ 0 0) into 0
14.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.412 * [backup-simplify]: Simplify (log im) into (log im)
14.412 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
14.412 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
14.412 * [backup-simplify]: Simplify (* (pow im 1/6) (pow im 1/6)) into (pow im 1/3)
14.412 * [backup-simplify]: Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
14.412 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
14.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
14.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
14.412 * [taylor]: Taking taylor expansion of 1/3 in im
14.413 * [backup-simplify]: Simplify 1/3 into 1/3
14.413 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
14.413 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.413 * [taylor]: Taking taylor expansion of im in im
14.413 * [backup-simplify]: Simplify 0 into 0
14.413 * [backup-simplify]: Simplify 1 into 1
14.413 * [backup-simplify]: Simplify (* 1 1) into 1
14.413 * [backup-simplify]: Simplify (log 1) into 0
14.414 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
14.414 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
14.414 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
14.414 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
14.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
14.415 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log im))) into 0
14.416 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.417 * [backup-simplify]: Simplify (+ (* (pow im 1/6) 0) (* 0 (pow im 1/6))) into 0
14.417 * [backup-simplify]: Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
14.417 * [taylor]: Taking taylor expansion of 0 in im
14.417 * [backup-simplify]: Simplify 0 into 0
14.417 * [backup-simplify]: Simplify 0 into 0
14.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.419 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
14.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
14.420 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.420 * [backup-simplify]: Simplify 0 into 0
14.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.422 * [backup-simplify]: Simplify (+ 1 0) into 1
14.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
14.425 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/12 (/ 1 (pow im 2)))
14.425 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (pow (/ 1 (pow im 11)) 1/6))
14.426 * [backup-simplify]: Simplify (+ (* (pow im 1/6) (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* 0 0) (* (* 1/12 (pow (/ 1 (pow im 11)) 1/6)) (pow im 1/6)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.427 * [backup-simplify]: Simplify (+ (* (pow im 1/3) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow im 1/3)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
14.427 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
14.427 * [taylor]: Taking taylor expansion of 1/3 in im
14.427 * [backup-simplify]: Simplify 1/3 into 1/3
14.427 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
14.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
14.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
14.427 * [taylor]: Taking taylor expansion of 1/3 in im
14.427 * [backup-simplify]: Simplify 1/3 into 1/3
14.427 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
14.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
14.427 * [taylor]: Taking taylor expansion of (pow im 4) in im
14.427 * [taylor]: Taking taylor expansion of im in im
14.427 * [backup-simplify]: Simplify 0 into 0
14.427 * [backup-simplify]: Simplify 1 into 1
14.427 * [backup-simplify]: Simplify (* 1 1) into 1
14.428 * [backup-simplify]: Simplify (* 1 1) into 1
14.428 * [backup-simplify]: Simplify (/ 1 1) into 1
14.428 * [backup-simplify]: Simplify (log 1) into 0
14.428 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
14.428 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
14.428 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
14.429 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
14.429 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
14.429 * [backup-simplify]: Simplify 0 into 0
14.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.431 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
14.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
14.432 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.432 * [backup-simplify]: Simplify 0 into 0
14.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
14.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.434 * [backup-simplify]: Simplify (+ 0 0) into 0
14.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.435 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
14.436 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
14.437 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.438 * [backup-simplify]: Simplify (+ (* (pow im 1/6) 0) (+ (* 0 (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* (* 1/12 (pow (/ 1 (pow im 11)) 1/6)) 0) (* 0 (pow im 1/6))))) into 0
14.438 * [backup-simplify]: Simplify (+ (* (pow im 1/3) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0) (* 0 (pow im 1/3))))) into 0
14.438 * [taylor]: Taking taylor expansion of 0 in im
14.438 * [backup-simplify]: Simplify 0 into 0
14.438 * [backup-simplify]: Simplify 0 into 0
14.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.440 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
14.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
14.441 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
14.442 * [backup-simplify]: Simplify 0 into 0
14.442 * [backup-simplify]: Simplify 0 into 0
14.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.445 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.445 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
14.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
14.447 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.447 * [backup-simplify]: Simplify 0 into 0
14.447 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3))
14.447 * [backup-simplify]: Simplify (pow (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) 4) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/6) 4)
14.448 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/6) 4) in (re im) around 0
14.448 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/6) 4) in im
14.448 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/6) in im
14.448 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ 1 re) (/ 1 im))))) in im
14.448 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ 1 re) (/ 1 im)))) in im
14.448 * [taylor]: Taking taylor expansion of 1/6 in im
14.448 * [backup-simplify]: Simplify 1/6 into 1/6
14.448 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
14.448 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
14.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.448 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
14.448 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
14.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.448 * [taylor]: Taking taylor expansion of re in im
14.448 * [backup-simplify]: Simplify re into re
14.448 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.448 * [taylor]: Taking taylor expansion of re in im
14.448 * [backup-simplify]: Simplify re into re
14.448 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.448 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
14.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.448 * [taylor]: Taking taylor expansion of im in im
14.448 * [backup-simplify]: Simplify 0 into 0
14.448 * [backup-simplify]: Simplify 1 into 1
14.448 * [backup-simplify]: Simplify (/ 1 1) into 1
14.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.448 * [taylor]: Taking taylor expansion of im in im
14.448 * [backup-simplify]: Simplify 0 into 0
14.448 * [backup-simplify]: Simplify 1 into 1
14.449 * [backup-simplify]: Simplify (/ 1 1) into 1
14.449 * [backup-simplify]: Simplify (* 1 1) into 1
14.449 * [backup-simplify]: Simplify (+ 0 1) into 1
14.449 * [backup-simplify]: Simplify (sqrt 1) into 1
14.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.451 * [backup-simplify]: Simplify (+ 0 0) into 0
14.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.451 * [backup-simplify]: Simplify (log 1) into 0
14.452 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.452 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
14.452 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
14.452 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/6) 4) in re
14.452 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/6) in re
14.452 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.452 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.452 * [taylor]: Taking taylor expansion of 1/6 in re
14.452 * [backup-simplify]: Simplify 1/6 into 1/6
14.452 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.452 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.452 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.452 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.452 * [taylor]: Taking taylor expansion of re in re
14.452 * [backup-simplify]: Simplify 0 into 0
14.452 * [backup-simplify]: Simplify 1 into 1
14.452 * [backup-simplify]: Simplify (/ 1 1) into 1
14.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.452 * [taylor]: Taking taylor expansion of re in re
14.452 * [backup-simplify]: Simplify 0 into 0
14.452 * [backup-simplify]: Simplify 1 into 1
14.453 * [backup-simplify]: Simplify (/ 1 1) into 1
14.453 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.453 * [taylor]: Taking taylor expansion of im in re
14.453 * [backup-simplify]: Simplify im into im
14.453 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.453 * [taylor]: Taking taylor expansion of im in re
14.453 * [backup-simplify]: Simplify im into im
14.453 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.453 * [backup-simplify]: Simplify (* 1 1) into 1
14.453 * [backup-simplify]: Simplify (+ 1 0) into 1
14.454 * [backup-simplify]: Simplify (sqrt 1) into 1
14.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.461 * [backup-simplify]: Simplify (+ 0 0) into 0
14.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.462 * [backup-simplify]: Simplify (log 1) into 0
14.462 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.462 * [backup-simplify]: Simplify (* 1/6 (- (log re))) into (* -1/6 (log re))
14.462 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6)
14.462 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/6) 4) in re
14.462 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/6) in re
14.463 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.463 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.463 * [taylor]: Taking taylor expansion of 1/6 in re
14.463 * [backup-simplify]: Simplify 1/6 into 1/6
14.463 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.463 * [taylor]: Taking taylor expansion of re in re
14.463 * [backup-simplify]: Simplify 0 into 0
14.463 * [backup-simplify]: Simplify 1 into 1
14.463 * [backup-simplify]: Simplify (/ 1 1) into 1
14.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.463 * [taylor]: Taking taylor expansion of re in re
14.464 * [backup-simplify]: Simplify 0 into 0
14.464 * [backup-simplify]: Simplify 1 into 1
14.464 * [backup-simplify]: Simplify (/ 1 1) into 1
14.464 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.464 * [taylor]: Taking taylor expansion of im in re
14.464 * [backup-simplify]: Simplify im into im
14.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.464 * [taylor]: Taking taylor expansion of im in re
14.464 * [backup-simplify]: Simplify im into im
14.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.465 * [backup-simplify]: Simplify (* 1 1) into 1
14.465 * [backup-simplify]: Simplify (+ 1 0) into 1
14.465 * [backup-simplify]: Simplify (sqrt 1) into 1
14.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.468 * [backup-simplify]: Simplify (+ 0 0) into 0
14.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.469 * [backup-simplify]: Simplify (log 1) into 0
14.469 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.469 * [backup-simplify]: Simplify (* 1/6 (- (log re))) into (* -1/6 (log re))
14.470 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6)
14.470 * [backup-simplify]: Simplify (* (pow re -1/6) (pow re -1/6)) into (pow (/ 1 re) 1/3)
14.470 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (pow (/ 1 re) 1/3)) into (pow (/ 1 (pow re 2)) 1/3)
14.470 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
14.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
14.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
14.470 * [taylor]: Taking taylor expansion of 1/3 in im
14.470 * [backup-simplify]: Simplify 1/3 into 1/3
14.470 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
14.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.470 * [taylor]: Taking taylor expansion of re in im
14.470 * [backup-simplify]: Simplify re into re
14.471 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.471 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.471 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
14.471 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
14.471 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
14.471 * [backup-simplify]: Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3)
14.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.473 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.473 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log re)))) into 0
14.474 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.474 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (* 0 (pow re -1/6))) into 0
14.474 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (pow (/ 1 re) 1/3))) into 0
14.474 * [taylor]: Taking taylor expansion of 0 in im
14.474 * [backup-simplify]: Simplify 0 into 0
14.474 * [backup-simplify]: Simplify 0 into 0
14.475 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
14.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
14.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
14.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.476 * [backup-simplify]: Simplify 0 into 0
14.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.478 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
14.478 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.479 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.480 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.480 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/12 (/ 1 (pow im 2)))
14.481 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))
14.482 * [backup-simplify]: Simplify (+ (* (pow re -1/6) (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) (pow re -1/6)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.483 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (pow (/ 1 re) 1/3)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
14.483 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
14.483 * [taylor]: Taking taylor expansion of 1/3 in im
14.483 * [backup-simplify]: Simplify 1/3 into 1/3
14.483 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
14.483 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
14.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
14.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
14.483 * [taylor]: Taking taylor expansion of 1/3 in im
14.483 * [backup-simplify]: Simplify 1/3 into 1/3
14.483 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
14.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.483 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.483 * [taylor]: Taking taylor expansion of re in im
14.483 * [backup-simplify]: Simplify re into re
14.483 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.483 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.484 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
14.484 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
14.484 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
14.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.484 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.484 * [taylor]: Taking taylor expansion of im in im
14.484 * [backup-simplify]: Simplify 0 into 0
14.484 * [backup-simplify]: Simplify 1 into 1
14.484 * [backup-simplify]: Simplify (* 1 1) into 1
14.484 * [backup-simplify]: Simplify (/ 1 1) into 1
14.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.486 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
14.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
14.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
14.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.488 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
14.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
14.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
14.491 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.491 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.492 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
14.492 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
14.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
14.493 * [backup-simplify]: Simplify 0 into 0
14.493 * [backup-simplify]: Simplify 0 into 0
14.493 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
14.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
14.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
14.496 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.496 * [backup-simplify]: Simplify 0 into 0
14.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.497 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
14.498 * [backup-simplify]: Simplify (+ 0 0) into 0
14.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.500 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.500 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.501 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.503 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.504 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (+ (* 0 (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/6))))) into 0
14.505 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (pow (/ 1 re) 1/3))))) into 0
14.505 * [taylor]: Taking taylor expansion of 0 in im
14.505 * [backup-simplify]: Simplify 0 into 0
14.505 * [backup-simplify]: Simplify 0 into 0
14.505 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 2)) 1/3) into (pow (pow re 2) 1/3)
14.506 * [backup-simplify]: Simplify (pow (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 4) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/6) 4)
14.506 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/6) 4) in (re im) around 0
14.506 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/6) 4) in im
14.506 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/6) in im
14.506 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ -1 re) (/ -1 im))))) in im
14.506 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ -1 re) (/ -1 im)))) in im
14.506 * [taylor]: Taking taylor expansion of 1/6 in im
14.506 * [backup-simplify]: Simplify 1/6 into 1/6
14.506 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
14.506 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
14.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.506 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
14.506 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
14.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.506 * [taylor]: Taking taylor expansion of -1 in im
14.506 * [backup-simplify]: Simplify -1 into -1
14.506 * [taylor]: Taking taylor expansion of re in im
14.506 * [backup-simplify]: Simplify re into re
14.506 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.507 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.507 * [taylor]: Taking taylor expansion of -1 in im
14.507 * [backup-simplify]: Simplify -1 into -1
14.507 * [taylor]: Taking taylor expansion of re in im
14.507 * [backup-simplify]: Simplify re into re
14.507 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.507 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
14.507 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.507 * [taylor]: Taking taylor expansion of -1 in im
14.507 * [backup-simplify]: Simplify -1 into -1
14.507 * [taylor]: Taking taylor expansion of im in im
14.507 * [backup-simplify]: Simplify 0 into 0
14.507 * [backup-simplify]: Simplify 1 into 1
14.507 * [backup-simplify]: Simplify (/ -1 1) into -1
14.507 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.507 * [taylor]: Taking taylor expansion of -1 in im
14.507 * [backup-simplify]: Simplify -1 into -1
14.507 * [taylor]: Taking taylor expansion of im in im
14.508 * [backup-simplify]: Simplify 0 into 0
14.508 * [backup-simplify]: Simplify 1 into 1
14.508 * [backup-simplify]: Simplify (/ -1 1) into -1
14.508 * [backup-simplify]: Simplify (* -1 -1) into 1
14.509 * [backup-simplify]: Simplify (+ 0 1) into 1
14.509 * [backup-simplify]: Simplify (sqrt 1) into 1
14.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.511 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.512 * [backup-simplify]: Simplify (+ 0 0) into 0
14.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.513 * [backup-simplify]: Simplify (log 1) into 0
14.513 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.513 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
14.513 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
14.513 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/6) 4) in re
14.513 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/6) in re
14.513 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.513 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.513 * [taylor]: Taking taylor expansion of 1/6 in re
14.514 * [backup-simplify]: Simplify 1/6 into 1/6
14.514 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.514 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.514 * [taylor]: Taking taylor expansion of -1 in re
14.514 * [backup-simplify]: Simplify -1 into -1
14.514 * [taylor]: Taking taylor expansion of re in re
14.514 * [backup-simplify]: Simplify 0 into 0
14.514 * [backup-simplify]: Simplify 1 into 1
14.514 * [backup-simplify]: Simplify (/ -1 1) into -1
14.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.514 * [taylor]: Taking taylor expansion of -1 in re
14.514 * [backup-simplify]: Simplify -1 into -1
14.515 * [taylor]: Taking taylor expansion of re in re
14.515 * [backup-simplify]: Simplify 0 into 0
14.515 * [backup-simplify]: Simplify 1 into 1
14.515 * [backup-simplify]: Simplify (/ -1 1) into -1
14.515 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.515 * [taylor]: Taking taylor expansion of -1 in re
14.515 * [backup-simplify]: Simplify -1 into -1
14.515 * [taylor]: Taking taylor expansion of im in re
14.515 * [backup-simplify]: Simplify im into im
14.515 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.515 * [taylor]: Taking taylor expansion of -1 in re
14.515 * [backup-simplify]: Simplify -1 into -1
14.515 * [taylor]: Taking taylor expansion of im in re
14.515 * [backup-simplify]: Simplify im into im
14.515 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.516 * [backup-simplify]: Simplify (* -1 -1) into 1
14.516 * [backup-simplify]: Simplify (+ 1 0) into 1
14.516 * [backup-simplify]: Simplify (sqrt 1) into 1
14.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.519 * [backup-simplify]: Simplify (+ 0 0) into 0
14.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.520 * [backup-simplify]: Simplify (log 1) into 0
14.521 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.521 * [backup-simplify]: Simplify (* 1/6 (- (log re))) into (* -1/6 (log re))
14.521 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6)
14.521 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/6) 4) in re
14.521 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/6) in re
14.521 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.521 * [taylor]: Taking taylor expansion of (* 1/6 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.521 * [taylor]: Taking taylor expansion of 1/6 in re
14.521 * [backup-simplify]: Simplify 1/6 into 1/6
14.521 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.521 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.521 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.521 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.521 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.521 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.521 * [taylor]: Taking taylor expansion of -1 in re
14.521 * [backup-simplify]: Simplify -1 into -1
14.521 * [taylor]: Taking taylor expansion of re in re
14.521 * [backup-simplify]: Simplify 0 into 0
14.521 * [backup-simplify]: Simplify 1 into 1
14.522 * [backup-simplify]: Simplify (/ -1 1) into -1
14.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.522 * [taylor]: Taking taylor expansion of -1 in re
14.522 * [backup-simplify]: Simplify -1 into -1
14.522 * [taylor]: Taking taylor expansion of re in re
14.522 * [backup-simplify]: Simplify 0 into 0
14.522 * [backup-simplify]: Simplify 1 into 1
14.522 * [backup-simplify]: Simplify (/ -1 1) into -1
14.522 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.522 * [taylor]: Taking taylor expansion of -1 in re
14.522 * [backup-simplify]: Simplify -1 into -1
14.522 * [taylor]: Taking taylor expansion of im in re
14.522 * [backup-simplify]: Simplify im into im
14.522 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.522 * [taylor]: Taking taylor expansion of -1 in re
14.522 * [backup-simplify]: Simplify -1 into -1
14.522 * [taylor]: Taking taylor expansion of im in re
14.522 * [backup-simplify]: Simplify im into im
14.522 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.523 * [backup-simplify]: Simplify (* -1 -1) into 1
14.523 * [backup-simplify]: Simplify (+ 1 0) into 1
14.523 * [backup-simplify]: Simplify (sqrt 1) into 1
14.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.524 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.525 * [backup-simplify]: Simplify (+ 0 0) into 0
14.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.525 * [backup-simplify]: Simplify (log 1) into 0
14.525 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.526 * [backup-simplify]: Simplify (* 1/6 (- (log re))) into (* -1/6 (log re))
14.526 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6)
14.526 * [backup-simplify]: Simplify (* (pow re -1/6) (pow re -1/6)) into (pow (/ 1 re) 1/3)
14.526 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (pow (/ 1 re) 1/3)) into (pow (/ 1 (pow re 2)) 1/3)
14.526 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
14.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
14.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
14.526 * [taylor]: Taking taylor expansion of 1/3 in im
14.526 * [backup-simplify]: Simplify 1/3 into 1/3
14.526 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
14.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.526 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.526 * [taylor]: Taking taylor expansion of re in im
14.526 * [backup-simplify]: Simplify re into re
14.526 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.526 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.526 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
14.526 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
14.527 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
14.527 * [backup-simplify]: Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3)
14.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.528 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.528 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log re)))) into 0
14.529 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.529 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (* 0 (pow re -1/6))) into 0
14.529 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (pow (/ 1 re) 1/3))) into 0
14.529 * [taylor]: Taking taylor expansion of 0 in im
14.529 * [backup-simplify]: Simplify 0 into 0
14.529 * [backup-simplify]: Simplify 0 into 0
14.529 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
14.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
14.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
14.531 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.531 * [backup-simplify]: Simplify 0 into 0
14.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.532 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.533 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.533 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.535 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.535 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/12 (/ 1 (pow im 2)))
14.536 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))
14.537 * [backup-simplify]: Simplify (+ (* (pow re -1/6) (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) (pow re -1/6)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.538 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (pow (/ 1 re) 1/3)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
14.538 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
14.538 * [taylor]: Taking taylor expansion of 1/3 in im
14.538 * [backup-simplify]: Simplify 1/3 into 1/3
14.538 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
14.538 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
14.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
14.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
14.538 * [taylor]: Taking taylor expansion of 1/3 in im
14.538 * [backup-simplify]: Simplify 1/3 into 1/3
14.538 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
14.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
14.538 * [taylor]: Taking taylor expansion of (pow re 2) in im
14.538 * [taylor]: Taking taylor expansion of re in im
14.538 * [backup-simplify]: Simplify re into re
14.538 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.538 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
14.538 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
14.538 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
14.538 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
14.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.538 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.538 * [taylor]: Taking taylor expansion of im in im
14.538 * [backup-simplify]: Simplify 0 into 0
14.539 * [backup-simplify]: Simplify 1 into 1
14.539 * [backup-simplify]: Simplify (* 1 1) into 1
14.539 * [backup-simplify]: Simplify (/ 1 1) into 1
14.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.541 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
14.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
14.542 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
14.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.543 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
14.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
14.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
14.545 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.546 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.546 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
14.547 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
14.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
14.547 * [backup-simplify]: Simplify 0 into 0
14.547 * [backup-simplify]: Simplify 0 into 0
14.548 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
14.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
14.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
14.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
14.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.551 * [backup-simplify]: Simplify 0 into 0
14.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
14.554 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.554 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.555 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
14.555 * [backup-simplify]: Simplify (+ 0 0) into 0
14.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.559 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.560 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.561 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.563 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.564 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (+ (* 0 (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/6))))) into 0
14.565 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (pow (/ 1 re) 1/3))))) into 0
14.565 * [taylor]: Taking taylor expansion of 0 in im
14.565 * [backup-simplify]: Simplify 0 into 0
14.565 * [backup-simplify]: Simplify 0 into 0
14.565 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) into (pow (pow re 2) 1/3)
14.565 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1 2)
14.565 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
14.566 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
14.566 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
14.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
14.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
14.566 * [taylor]: Taking taylor expansion of 1/3 in im
14.566 * [backup-simplify]: Simplify 1/3 into 1/3
14.566 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
14.566 * [taylor]: Taking taylor expansion of (hypot re im) in im
14.566 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.566 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
14.566 * [taylor]: Taking taylor expansion of (* re re) in im
14.566 * [taylor]: Taking taylor expansion of re in im
14.566 * [backup-simplify]: Simplify re into re
14.566 * [taylor]: Taking taylor expansion of re in im
14.566 * [backup-simplify]: Simplify re into re
14.566 * [taylor]: Taking taylor expansion of (* im im) in im
14.566 * [taylor]: Taking taylor expansion of im in im
14.566 * [backup-simplify]: Simplify 0 into 0
14.566 * [backup-simplify]: Simplify 1 into 1
14.566 * [taylor]: Taking taylor expansion of im in im
14.566 * [backup-simplify]: Simplify 0 into 0
14.566 * [backup-simplify]: Simplify 1 into 1
14.566 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.567 * [backup-simplify]: Simplify (* 0 0) into 0
14.567 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.567 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.567 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.568 * [backup-simplify]: Simplify (+ 0 0) into 0
14.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.568 * [backup-simplify]: Simplify (log re) into (log re)
14.568 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
14.569 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
14.569 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
14.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
14.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
14.569 * [taylor]: Taking taylor expansion of 1/3 in re
14.569 * [backup-simplify]: Simplify 1/3 into 1/3
14.569 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.569 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.569 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.569 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.569 * [taylor]: Taking taylor expansion of (* re re) in re
14.569 * [taylor]: Taking taylor expansion of re in re
14.569 * [backup-simplify]: Simplify 0 into 0
14.569 * [backup-simplify]: Simplify 1 into 1
14.569 * [taylor]: Taking taylor expansion of re in re
14.569 * [backup-simplify]: Simplify 0 into 0
14.569 * [backup-simplify]: Simplify 1 into 1
14.569 * [taylor]: Taking taylor expansion of (* im im) in re
14.569 * [taylor]: Taking taylor expansion of im in re
14.569 * [backup-simplify]: Simplify im into im
14.569 * [taylor]: Taking taylor expansion of im in re
14.569 * [backup-simplify]: Simplify im into im
14.570 * [backup-simplify]: Simplify (* 0 0) into 0
14.570 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.570 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.571 * [backup-simplify]: Simplify (+ 0 0) into 0
14.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.571 * [backup-simplify]: Simplify (log im) into (log im)
14.572 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.572 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.572 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
14.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
14.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
14.572 * [taylor]: Taking taylor expansion of 1/3 in re
14.572 * [backup-simplify]: Simplify 1/3 into 1/3
14.572 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.572 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.572 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.572 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.572 * [taylor]: Taking taylor expansion of (* re re) in re
14.572 * [taylor]: Taking taylor expansion of re in re
14.572 * [backup-simplify]: Simplify 0 into 0
14.572 * [backup-simplify]: Simplify 1 into 1
14.572 * [taylor]: Taking taylor expansion of re in re
14.572 * [backup-simplify]: Simplify 0 into 0
14.572 * [backup-simplify]: Simplify 1 into 1
14.572 * [taylor]: Taking taylor expansion of (* im im) in re
14.572 * [taylor]: Taking taylor expansion of im in re
14.572 * [backup-simplify]: Simplify im into im
14.572 * [taylor]: Taking taylor expansion of im in re
14.572 * [backup-simplify]: Simplify im into im
14.573 * [backup-simplify]: Simplify (* 0 0) into 0
14.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.573 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.573 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.577 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.578 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.578 * [backup-simplify]: Simplify (+ 0 0) into 0
14.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.579 * [backup-simplify]: Simplify (log im) into (log im)
14.579 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.579 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.579 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
14.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
14.579 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
14.579 * [taylor]: Taking taylor expansion of 1/3 in im
14.579 * [backup-simplify]: Simplify 1/3 into 1/3
14.579 * [taylor]: Taking taylor expansion of (log im) in im
14.579 * [taylor]: Taking taylor expansion of im in im
14.579 * [backup-simplify]: Simplify 0 into 0
14.579 * [backup-simplify]: Simplify 1 into 1
14.579 * [backup-simplify]: Simplify (log 1) into 0
14.580 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.580 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.580 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.580 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
14.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
14.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
14.582 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.582 * [taylor]: Taking taylor expansion of 0 in im
14.582 * [backup-simplify]: Simplify 0 into 0
14.582 * [backup-simplify]: Simplify 0 into 0
14.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.584 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
14.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.586 * [backup-simplify]: Simplify 0 into 0
14.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.587 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.587 * [backup-simplify]: Simplify (+ 1 0) into 1
14.588 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
14.590 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
14.591 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.591 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
14.591 * [taylor]: Taking taylor expansion of 1/6 in im
14.591 * [backup-simplify]: Simplify 1/6 into 1/6
14.591 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
14.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
14.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
14.591 * [taylor]: Taking taylor expansion of 1/3 in im
14.591 * [backup-simplify]: Simplify 1/3 into 1/3
14.591 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
14.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
14.591 * [taylor]: Taking taylor expansion of (pow im 5) in im
14.591 * [taylor]: Taking taylor expansion of im in im
14.591 * [backup-simplify]: Simplify 0 into 0
14.591 * [backup-simplify]: Simplify 1 into 1
14.591 * [backup-simplify]: Simplify (* 1 1) into 1
14.592 * [backup-simplify]: Simplify (* 1 1) into 1
14.592 * [backup-simplify]: Simplify (* 1 1) into 1
14.592 * [backup-simplify]: Simplify (/ 1 1) into 1
14.593 * [backup-simplify]: Simplify (log 1) into 0
14.593 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
14.593 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
14.594 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
14.594 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.594 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.594 * [backup-simplify]: Simplify 0 into 0
14.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.597 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
14.599 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.599 * [backup-simplify]: Simplify 0 into 0
14.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
14.601 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.601 * [backup-simplify]: Simplify (+ 0 0) into 0
14.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.604 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
14.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
14.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.607 * [taylor]: Taking taylor expansion of 0 in im
14.607 * [backup-simplify]: Simplify 0 into 0
14.607 * [backup-simplify]: Simplify 0 into 0
14.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.611 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
14.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
14.613 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.613 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
14.613 * [backup-simplify]: Simplify 0 into 0
14.613 * [backup-simplify]: Simplify 0 into 0
14.618 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.618 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
14.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.621 * [backup-simplify]: Simplify 0 into 0
14.622 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))
14.622 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
14.622 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
14.622 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
14.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
14.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
14.623 * [taylor]: Taking taylor expansion of 1/3 in im
14.623 * [backup-simplify]: Simplify 1/3 into 1/3
14.623 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
14.623 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
14.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.623 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
14.623 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
14.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.623 * [taylor]: Taking taylor expansion of re in im
14.623 * [backup-simplify]: Simplify re into re
14.623 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.623 * [taylor]: Taking taylor expansion of re in im
14.623 * [backup-simplify]: Simplify re into re
14.623 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.623 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
14.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.623 * [taylor]: Taking taylor expansion of im in im
14.623 * [backup-simplify]: Simplify 0 into 0
14.623 * [backup-simplify]: Simplify 1 into 1
14.624 * [backup-simplify]: Simplify (/ 1 1) into 1
14.624 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.624 * [taylor]: Taking taylor expansion of im in im
14.624 * [backup-simplify]: Simplify 0 into 0
14.624 * [backup-simplify]: Simplify 1 into 1
14.624 * [backup-simplify]: Simplify (/ 1 1) into 1
14.625 * [backup-simplify]: Simplify (* 1 1) into 1
14.625 * [backup-simplify]: Simplify (+ 0 1) into 1
14.625 * [backup-simplify]: Simplify (sqrt 1) into 1
14.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.628 * [backup-simplify]: Simplify (+ 0 0) into 0
14.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.629 * [backup-simplify]: Simplify (log 1) into 0
14.629 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.629 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
14.629 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
14.629 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
14.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.629 * [taylor]: Taking taylor expansion of 1/3 in re
14.629 * [backup-simplify]: Simplify 1/3 into 1/3
14.629 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.630 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.630 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.630 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.630 * [taylor]: Taking taylor expansion of re in re
14.630 * [backup-simplify]: Simplify 0 into 0
14.630 * [backup-simplify]: Simplify 1 into 1
14.630 * [backup-simplify]: Simplify (/ 1 1) into 1
14.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.630 * [taylor]: Taking taylor expansion of re in re
14.630 * [backup-simplify]: Simplify 0 into 0
14.630 * [backup-simplify]: Simplify 1 into 1
14.631 * [backup-simplify]: Simplify (/ 1 1) into 1
14.631 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.631 * [taylor]: Taking taylor expansion of im in re
14.631 * [backup-simplify]: Simplify im into im
14.631 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.631 * [taylor]: Taking taylor expansion of im in re
14.631 * [backup-simplify]: Simplify im into im
14.631 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.631 * [backup-simplify]: Simplify (* 1 1) into 1
14.632 * [backup-simplify]: Simplify (+ 1 0) into 1
14.632 * [backup-simplify]: Simplify (sqrt 1) into 1
14.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.635 * [backup-simplify]: Simplify (+ 0 0) into 0
14.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.636 * [backup-simplify]: Simplify (log 1) into 0
14.636 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.636 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.636 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.636 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
14.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.636 * [taylor]: Taking taylor expansion of 1/3 in re
14.636 * [backup-simplify]: Simplify 1/3 into 1/3
14.636 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.637 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.637 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.637 * [taylor]: Taking taylor expansion of re in re
14.637 * [backup-simplify]: Simplify 0 into 0
14.637 * [backup-simplify]: Simplify 1 into 1
14.637 * [backup-simplify]: Simplify (/ 1 1) into 1
14.637 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.637 * [taylor]: Taking taylor expansion of re in re
14.637 * [backup-simplify]: Simplify 0 into 0
14.637 * [backup-simplify]: Simplify 1 into 1
14.638 * [backup-simplify]: Simplify (/ 1 1) into 1
14.638 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.638 * [taylor]: Taking taylor expansion of im in re
14.638 * [backup-simplify]: Simplify im into im
14.638 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.638 * [taylor]: Taking taylor expansion of im in re
14.638 * [backup-simplify]: Simplify im into im
14.638 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.638 * [backup-simplify]: Simplify (* 1 1) into 1
14.639 * [backup-simplify]: Simplify (+ 1 0) into 1
14.639 * [backup-simplify]: Simplify (sqrt 1) into 1
14.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.642 * [backup-simplify]: Simplify (+ 0 0) into 0
14.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.643 * [backup-simplify]: Simplify (log 1) into 0
14.643 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.643 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.644 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.644 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
14.644 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
14.644 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
14.644 * [taylor]: Taking taylor expansion of -1/3 in im
14.644 * [backup-simplify]: Simplify -1/3 into -1/3
14.644 * [taylor]: Taking taylor expansion of (log re) in im
14.644 * [taylor]: Taking taylor expansion of re in im
14.644 * [backup-simplify]: Simplify re into re
14.644 * [backup-simplify]: Simplify (log re) into (log re)
14.644 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
14.644 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.644 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
14.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.646 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
14.647 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.647 * [taylor]: Taking taylor expansion of 0 in im
14.647 * [backup-simplify]: Simplify 0 into 0
14.647 * [backup-simplify]: Simplify 0 into 0
14.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.649 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
14.650 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.650 * [backup-simplify]: Simplify 0 into 0
14.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.652 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
14.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.654 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.656 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.657 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
14.658 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.658 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
14.658 * [taylor]: Taking taylor expansion of 1/6 in im
14.658 * [backup-simplify]: Simplify 1/6 into 1/6
14.658 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
14.658 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
14.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
14.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
14.658 * [taylor]: Taking taylor expansion of 1/3 in im
14.659 * [backup-simplify]: Simplify 1/3 into 1/3
14.659 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
14.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.659 * [taylor]: Taking taylor expansion of re in im
14.659 * [backup-simplify]: Simplify re into re
14.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.659 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
14.659 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
14.659 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
14.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.659 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.659 * [taylor]: Taking taylor expansion of im in im
14.659 * [backup-simplify]: Simplify 0 into 0
14.659 * [backup-simplify]: Simplify 1 into 1
14.660 * [backup-simplify]: Simplify (* 1 1) into 1
14.660 * [backup-simplify]: Simplify (/ 1 1) into 1
14.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
14.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
14.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
14.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
14.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
14.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
14.670 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
14.671 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
14.671 * [backup-simplify]: Simplify 0 into 0
14.671 * [backup-simplify]: Simplify 0 into 0
14.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.672 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
14.673 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.673 * [backup-simplify]: Simplify 0 into 0
14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.675 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
14.675 * [backup-simplify]: Simplify (+ 0 0) into 0
14.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.678 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.680 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.680 * [taylor]: Taking taylor expansion of 0 in im
14.680 * [backup-simplify]: Simplify 0 into 0
14.680 * [backup-simplify]: Simplify 0 into 0
14.680 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
14.680 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
14.680 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
14.680 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
14.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
14.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
14.680 * [taylor]: Taking taylor expansion of 1/3 in im
14.680 * [backup-simplify]: Simplify 1/3 into 1/3
14.680 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
14.680 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
14.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.680 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
14.680 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
14.680 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.680 * [taylor]: Taking taylor expansion of -1 in im
14.680 * [backup-simplify]: Simplify -1 into -1
14.680 * [taylor]: Taking taylor expansion of re in im
14.680 * [backup-simplify]: Simplify re into re
14.680 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.681 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.681 * [taylor]: Taking taylor expansion of -1 in im
14.681 * [backup-simplify]: Simplify -1 into -1
14.681 * [taylor]: Taking taylor expansion of re in im
14.681 * [backup-simplify]: Simplify re into re
14.681 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.681 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
14.681 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.681 * [taylor]: Taking taylor expansion of -1 in im
14.681 * [backup-simplify]: Simplify -1 into -1
14.681 * [taylor]: Taking taylor expansion of im in im
14.681 * [backup-simplify]: Simplify 0 into 0
14.681 * [backup-simplify]: Simplify 1 into 1
14.681 * [backup-simplify]: Simplify (/ -1 1) into -1
14.681 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.681 * [taylor]: Taking taylor expansion of -1 in im
14.681 * [backup-simplify]: Simplify -1 into -1
14.681 * [taylor]: Taking taylor expansion of im in im
14.681 * [backup-simplify]: Simplify 0 into 0
14.681 * [backup-simplify]: Simplify 1 into 1
14.681 * [backup-simplify]: Simplify (/ -1 1) into -1
14.682 * [backup-simplify]: Simplify (* -1 -1) into 1
14.682 * [backup-simplify]: Simplify (+ 0 1) into 1
14.682 * [backup-simplify]: Simplify (sqrt 1) into 1
14.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.683 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.683 * [backup-simplify]: Simplify (+ 0 0) into 0
14.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.684 * [backup-simplify]: Simplify (log 1) into 0
14.684 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.684 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
14.684 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
14.685 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
14.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.685 * [taylor]: Taking taylor expansion of 1/3 in re
14.685 * [backup-simplify]: Simplify 1/3 into 1/3
14.685 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.685 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.685 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.685 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.685 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.685 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.685 * [taylor]: Taking taylor expansion of -1 in re
14.685 * [backup-simplify]: Simplify -1 into -1
14.685 * [taylor]: Taking taylor expansion of re in re
14.685 * [backup-simplify]: Simplify 0 into 0
14.685 * [backup-simplify]: Simplify 1 into 1
14.685 * [backup-simplify]: Simplify (/ -1 1) into -1
14.685 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.685 * [taylor]: Taking taylor expansion of -1 in re
14.685 * [backup-simplify]: Simplify -1 into -1
14.685 * [taylor]: Taking taylor expansion of re in re
14.685 * [backup-simplify]: Simplify 0 into 0
14.685 * [backup-simplify]: Simplify 1 into 1
14.686 * [backup-simplify]: Simplify (/ -1 1) into -1
14.686 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.686 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.686 * [taylor]: Taking taylor expansion of -1 in re
14.686 * [backup-simplify]: Simplify -1 into -1
14.686 * [taylor]: Taking taylor expansion of im in re
14.686 * [backup-simplify]: Simplify im into im
14.686 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.686 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.686 * [taylor]: Taking taylor expansion of -1 in re
14.686 * [backup-simplify]: Simplify -1 into -1
14.686 * [taylor]: Taking taylor expansion of im in re
14.686 * [backup-simplify]: Simplify im into im
14.686 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.686 * [backup-simplify]: Simplify (* -1 -1) into 1
14.686 * [backup-simplify]: Simplify (+ 1 0) into 1
14.686 * [backup-simplify]: Simplify (sqrt 1) into 1
14.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.688 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.688 * [backup-simplify]: Simplify (+ 0 0) into 0
14.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.689 * [backup-simplify]: Simplify (log 1) into 0
14.689 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.689 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.689 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.689 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
14.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.689 * [taylor]: Taking taylor expansion of 1/3 in re
14.689 * [backup-simplify]: Simplify 1/3 into 1/3
14.689 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.689 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.689 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.689 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.689 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.689 * [taylor]: Taking taylor expansion of -1 in re
14.689 * [backup-simplify]: Simplify -1 into -1
14.689 * [taylor]: Taking taylor expansion of re in re
14.689 * [backup-simplify]: Simplify 0 into 0
14.689 * [backup-simplify]: Simplify 1 into 1
14.690 * [backup-simplify]: Simplify (/ -1 1) into -1
14.690 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.690 * [taylor]: Taking taylor expansion of -1 in re
14.690 * [backup-simplify]: Simplify -1 into -1
14.690 * [taylor]: Taking taylor expansion of re in re
14.690 * [backup-simplify]: Simplify 0 into 0
14.690 * [backup-simplify]: Simplify 1 into 1
14.690 * [backup-simplify]: Simplify (/ -1 1) into -1
14.690 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.690 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.690 * [taylor]: Taking taylor expansion of -1 in re
14.690 * [backup-simplify]: Simplify -1 into -1
14.690 * [taylor]: Taking taylor expansion of im in re
14.690 * [backup-simplify]: Simplify im into im
14.690 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.690 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.690 * [taylor]: Taking taylor expansion of -1 in re
14.690 * [backup-simplify]: Simplify -1 into -1
14.690 * [taylor]: Taking taylor expansion of im in re
14.690 * [backup-simplify]: Simplify im into im
14.690 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.691 * [backup-simplify]: Simplify (* -1 -1) into 1
14.691 * [backup-simplify]: Simplify (+ 1 0) into 1
14.691 * [backup-simplify]: Simplify (sqrt 1) into 1
14.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.692 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.693 * [backup-simplify]: Simplify (+ 0 0) into 0
14.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.693 * [backup-simplify]: Simplify (log 1) into 0
14.693 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.694 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.694 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.694 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
14.694 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
14.694 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
14.694 * [taylor]: Taking taylor expansion of -1/3 in im
14.694 * [backup-simplify]: Simplify -1/3 into -1/3
14.694 * [taylor]: Taking taylor expansion of (log re) in im
14.694 * [taylor]: Taking taylor expansion of re in im
14.694 * [backup-simplify]: Simplify re into re
14.694 * [backup-simplify]: Simplify (log re) into (log re)
14.694 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
14.694 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.694 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
14.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.695 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
14.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.696 * [taylor]: Taking taylor expansion of 0 in im
14.696 * [backup-simplify]: Simplify 0 into 0
14.696 * [backup-simplify]: Simplify 0 into 0
14.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.697 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
14.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.697 * [backup-simplify]: Simplify 0 into 0
14.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.700 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.700 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.706 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.709 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.709 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
14.710 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.710 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
14.710 * [taylor]: Taking taylor expansion of 1/6 in im
14.710 * [backup-simplify]: Simplify 1/6 into 1/6
14.711 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
14.711 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
14.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
14.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
14.711 * [taylor]: Taking taylor expansion of 1/3 in im
14.711 * [backup-simplify]: Simplify 1/3 into 1/3
14.711 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
14.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.711 * [taylor]: Taking taylor expansion of re in im
14.711 * [backup-simplify]: Simplify re into re
14.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.711 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
14.711 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
14.711 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
14.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.711 * [taylor]: Taking taylor expansion of im in im
14.711 * [backup-simplify]: Simplify 0 into 0
14.711 * [backup-simplify]: Simplify 1 into 1
14.712 * [backup-simplify]: Simplify (* 1 1) into 1
14.712 * [backup-simplify]: Simplify (/ 1 1) into 1
14.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
14.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
14.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
14.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
14.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
14.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.723 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.723 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
14.723 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
14.724 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
14.724 * [backup-simplify]: Simplify 0 into 0
14.724 * [backup-simplify]: Simplify 0 into 0
14.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.727 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
14.728 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.728 * [backup-simplify]: Simplify 0 into 0
14.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
14.732 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.732 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.732 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
14.733 * [backup-simplify]: Simplify (+ 0 0) into 0
14.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.737 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.737 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.740 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.741 * [taylor]: Taking taylor expansion of 0 in im
14.741 * [backup-simplify]: Simplify 0 into 0
14.741 * [backup-simplify]: Simplify 0 into 0
14.741 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
14.741 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1 1 1 1)
14.741 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
14.741 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
14.741 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
14.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
14.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
14.741 * [taylor]: Taking taylor expansion of 1/3 in im
14.741 * [backup-simplify]: Simplify 1/3 into 1/3
14.741 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
14.741 * [taylor]: Taking taylor expansion of (hypot re im) in im
14.741 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.742 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
14.742 * [taylor]: Taking taylor expansion of (* re re) in im
14.742 * [taylor]: Taking taylor expansion of re in im
14.742 * [backup-simplify]: Simplify re into re
14.742 * [taylor]: Taking taylor expansion of re in im
14.742 * [backup-simplify]: Simplify re into re
14.742 * [taylor]: Taking taylor expansion of (* im im) in im
14.742 * [taylor]: Taking taylor expansion of im in im
14.742 * [backup-simplify]: Simplify 0 into 0
14.742 * [backup-simplify]: Simplify 1 into 1
14.742 * [taylor]: Taking taylor expansion of im in im
14.742 * [backup-simplify]: Simplify 0 into 0
14.742 * [backup-simplify]: Simplify 1 into 1
14.742 * [backup-simplify]: Simplify (* re re) into (pow re 2)
14.742 * [backup-simplify]: Simplify (* 0 0) into 0
14.742 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
14.743 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
14.743 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
14.743 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.744 * [backup-simplify]: Simplify (+ 0 0) into 0
14.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
14.744 * [backup-simplify]: Simplify (log re) into (log re)
14.744 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
14.744 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
14.744 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
14.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
14.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
14.744 * [taylor]: Taking taylor expansion of 1/3 in re
14.744 * [backup-simplify]: Simplify 1/3 into 1/3
14.744 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.744 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.744 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.744 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.745 * [taylor]: Taking taylor expansion of (* re re) in re
14.745 * [taylor]: Taking taylor expansion of re in re
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [backup-simplify]: Simplify 1 into 1
14.745 * [taylor]: Taking taylor expansion of re in re
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [backup-simplify]: Simplify 1 into 1
14.745 * [taylor]: Taking taylor expansion of (* im im) in re
14.745 * [taylor]: Taking taylor expansion of im in re
14.745 * [backup-simplify]: Simplify im into im
14.745 * [taylor]: Taking taylor expansion of im in re
14.745 * [backup-simplify]: Simplify im into im
14.745 * [backup-simplify]: Simplify (* 0 0) into 0
14.745 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.745 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.747 * [backup-simplify]: Simplify (+ 0 0) into 0
14.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.747 * [backup-simplify]: Simplify (log im) into (log im)
14.747 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.747 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.747 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
14.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
14.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
14.747 * [taylor]: Taking taylor expansion of 1/3 in re
14.747 * [backup-simplify]: Simplify 1/3 into 1/3
14.747 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
14.747 * [taylor]: Taking taylor expansion of (hypot re im) in re
14.747 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
14.747 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
14.747 * [taylor]: Taking taylor expansion of (* re re) in re
14.748 * [taylor]: Taking taylor expansion of re in re
14.748 * [backup-simplify]: Simplify 0 into 0
14.748 * [backup-simplify]: Simplify 1 into 1
14.748 * [taylor]: Taking taylor expansion of re in re
14.748 * [backup-simplify]: Simplify 0 into 0
14.748 * [backup-simplify]: Simplify 1 into 1
14.748 * [taylor]: Taking taylor expansion of (* im im) in re
14.748 * [taylor]: Taking taylor expansion of im in re
14.748 * [backup-simplify]: Simplify im into im
14.748 * [taylor]: Taking taylor expansion of im in re
14.748 * [backup-simplify]: Simplify im into im
14.748 * [backup-simplify]: Simplify (* 0 0) into 0
14.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
14.748 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
14.749 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
14.749 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
14.750 * [backup-simplify]: Simplify (+ 0 0) into 0
14.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
14.750 * [backup-simplify]: Simplify (log im) into (log im)
14.750 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.750 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.750 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
14.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
14.750 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
14.750 * [taylor]: Taking taylor expansion of 1/3 in im
14.750 * [backup-simplify]: Simplify 1/3 into 1/3
14.750 * [taylor]: Taking taylor expansion of (log im) in im
14.750 * [taylor]: Taking taylor expansion of im in im
14.750 * [backup-simplify]: Simplify 0 into 0
14.750 * [backup-simplify]: Simplify 1 into 1
14.751 * [backup-simplify]: Simplify (log 1) into 0
14.751 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.751 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
14.751 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
14.751 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
14.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
14.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
14.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.754 * [taylor]: Taking taylor expansion of 0 in im
14.754 * [backup-simplify]: Simplify 0 into 0
14.754 * [backup-simplify]: Simplify 0 into 0
14.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.756 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
14.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.757 * [backup-simplify]: Simplify 0 into 0
14.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.758 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
14.759 * [backup-simplify]: Simplify (+ 1 0) into 1
14.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
14.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
14.761 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
14.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.762 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
14.762 * [taylor]: Taking taylor expansion of 1/6 in im
14.762 * [backup-simplify]: Simplify 1/6 into 1/6
14.762 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
14.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
14.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
14.763 * [taylor]: Taking taylor expansion of 1/3 in im
14.763 * [backup-simplify]: Simplify 1/3 into 1/3
14.763 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
14.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
14.763 * [taylor]: Taking taylor expansion of (pow im 5) in im
14.763 * [taylor]: Taking taylor expansion of im in im
14.763 * [backup-simplify]: Simplify 0 into 0
14.763 * [backup-simplify]: Simplify 1 into 1
14.763 * [backup-simplify]: Simplify (* 1 1) into 1
14.764 * [backup-simplify]: Simplify (* 1 1) into 1
14.764 * [backup-simplify]: Simplify (* 1 1) into 1
14.764 * [backup-simplify]: Simplify (/ 1 1) into 1
14.765 * [backup-simplify]: Simplify (log 1) into 0
14.765 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
14.765 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
14.765 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
14.765 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.766 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
14.766 * [backup-simplify]: Simplify 0 into 0
14.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.769 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
14.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.771 * [backup-simplify]: Simplify 0 into 0
14.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
14.773 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
14.774 * [backup-simplify]: Simplify (+ 0 0) into 0
14.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
14.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
14.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
14.780 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.780 * [taylor]: Taking taylor expansion of 0 in im
14.780 * [backup-simplify]: Simplify 0 into 0
14.780 * [backup-simplify]: Simplify 0 into 0
14.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.784 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
14.785 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
14.785 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
14.786 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
14.786 * [backup-simplify]: Simplify 0 into 0
14.786 * [backup-simplify]: Simplify 0 into 0
14.788 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.789 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
14.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
14.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.790 * [backup-simplify]: Simplify 0 into 0
14.791 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))
14.791 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
14.791 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
14.791 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
14.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
14.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
14.791 * [taylor]: Taking taylor expansion of 1/3 in im
14.791 * [backup-simplify]: Simplify 1/3 into 1/3
14.791 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
14.791 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
14.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.791 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
14.791 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
14.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.791 * [taylor]: Taking taylor expansion of re in im
14.791 * [backup-simplify]: Simplify re into re
14.791 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.791 * [taylor]: Taking taylor expansion of re in im
14.791 * [backup-simplify]: Simplify re into re
14.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.792 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
14.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.792 * [taylor]: Taking taylor expansion of im in im
14.792 * [backup-simplify]: Simplify 0 into 0
14.792 * [backup-simplify]: Simplify 1 into 1
14.792 * [backup-simplify]: Simplify (/ 1 1) into 1
14.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im
14.792 * [taylor]: Taking taylor expansion of im in im
14.792 * [backup-simplify]: Simplify 0 into 0
14.792 * [backup-simplify]: Simplify 1 into 1
14.792 * [backup-simplify]: Simplify (/ 1 1) into 1
14.792 * [backup-simplify]: Simplify (* 1 1) into 1
14.793 * [backup-simplify]: Simplify (+ 0 1) into 1
14.793 * [backup-simplify]: Simplify (sqrt 1) into 1
14.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.794 * [backup-simplify]: Simplify (+ 0 0) into 0
14.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.795 * [backup-simplify]: Simplify (log 1) into 0
14.795 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.795 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
14.795 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
14.795 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
14.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.795 * [taylor]: Taking taylor expansion of 1/3 in re
14.795 * [backup-simplify]: Simplify 1/3 into 1/3
14.795 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.795 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.796 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.796 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.796 * [taylor]: Taking taylor expansion of re in re
14.796 * [backup-simplify]: Simplify 0 into 0
14.796 * [backup-simplify]: Simplify 1 into 1
14.796 * [backup-simplify]: Simplify (/ 1 1) into 1
14.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.796 * [taylor]: Taking taylor expansion of re in re
14.796 * [backup-simplify]: Simplify 0 into 0
14.796 * [backup-simplify]: Simplify 1 into 1
14.796 * [backup-simplify]: Simplify (/ 1 1) into 1
14.796 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.796 * [taylor]: Taking taylor expansion of im in re
14.796 * [backup-simplify]: Simplify im into im
14.796 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.796 * [taylor]: Taking taylor expansion of im in re
14.796 * [backup-simplify]: Simplify im into im
14.796 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.797 * [backup-simplify]: Simplify (* 1 1) into 1
14.797 * [backup-simplify]: Simplify (+ 1 0) into 1
14.797 * [backup-simplify]: Simplify (sqrt 1) into 1
14.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.799 * [backup-simplify]: Simplify (+ 0 0) into 0
14.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.799 * [backup-simplify]: Simplify (log 1) into 0
14.800 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.800 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.800 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.800 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
14.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
14.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
14.800 * [taylor]: Taking taylor expansion of 1/3 in re
14.800 * [backup-simplify]: Simplify 1/3 into 1/3
14.800 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
14.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.800 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.800 * [taylor]: Taking taylor expansion of re in re
14.800 * [backup-simplify]: Simplify 0 into 0
14.800 * [backup-simplify]: Simplify 1 into 1
14.800 * [backup-simplify]: Simplify (/ 1 1) into 1
14.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.800 * [taylor]: Taking taylor expansion of re in re
14.800 * [backup-simplify]: Simplify 0 into 0
14.800 * [backup-simplify]: Simplify 1 into 1
14.801 * [backup-simplify]: Simplify (/ 1 1) into 1
14.801 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.801 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.801 * [taylor]: Taking taylor expansion of im in re
14.801 * [backup-simplify]: Simplify im into im
14.801 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.801 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.801 * [taylor]: Taking taylor expansion of im in re
14.801 * [backup-simplify]: Simplify im into im
14.801 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.801 * [backup-simplify]: Simplify (* 1 1) into 1
14.801 * [backup-simplify]: Simplify (+ 1 0) into 1
14.802 * [backup-simplify]: Simplify (sqrt 1) into 1
14.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.803 * [backup-simplify]: Simplify (+ 0 0) into 0
14.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.804 * [backup-simplify]: Simplify (log 1) into 0
14.804 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.804 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.804 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.804 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
14.804 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
14.804 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
14.804 * [taylor]: Taking taylor expansion of -1/3 in im
14.804 * [backup-simplify]: Simplify -1/3 into -1/3
14.804 * [taylor]: Taking taylor expansion of (log re) in im
14.804 * [taylor]: Taking taylor expansion of re in im
14.804 * [backup-simplify]: Simplify re into re
14.804 * [backup-simplify]: Simplify (log re) into (log re)
14.804 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
14.804 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.804 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
14.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.806 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
14.806 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.806 * [taylor]: Taking taylor expansion of 0 in im
14.806 * [backup-simplify]: Simplify 0 into 0
14.806 * [backup-simplify]: Simplify 0 into 0
14.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.807 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
14.808 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.808 * [backup-simplify]: Simplify 0 into 0
14.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.809 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
14.809 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.810 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.812 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.812 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
14.813 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.813 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
14.813 * [taylor]: Taking taylor expansion of 1/6 in im
14.813 * [backup-simplify]: Simplify 1/6 into 1/6
14.813 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
14.813 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
14.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
14.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
14.813 * [taylor]: Taking taylor expansion of 1/3 in im
14.813 * [backup-simplify]: Simplify 1/3 into 1/3
14.813 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
14.813 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.813 * [taylor]: Taking taylor expansion of re in im
14.813 * [backup-simplify]: Simplify re into re
14.813 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.813 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
14.813 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
14.813 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
14.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.813 * [taylor]: Taking taylor expansion of im in im
14.813 * [backup-simplify]: Simplify 0 into 0
14.813 * [backup-simplify]: Simplify 1 into 1
14.814 * [backup-simplify]: Simplify (* 1 1) into 1
14.814 * [backup-simplify]: Simplify (/ 1 1) into 1
14.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
14.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
14.820 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
14.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
14.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
14.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.825 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.825 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
14.825 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
14.826 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
14.826 * [backup-simplify]: Simplify 0 into 0
14.826 * [backup-simplify]: Simplify 0 into 0
14.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.829 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
14.830 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.830 * [backup-simplify]: Simplify 0 into 0
14.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.834 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
14.838 * [backup-simplify]: Simplify (+ 0 0) into 0
14.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.844 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.844 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.848 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.848 * [taylor]: Taking taylor expansion of 0 in im
14.848 * [backup-simplify]: Simplify 0 into 0
14.848 * [backup-simplify]: Simplify 0 into 0
14.848 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
14.848 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
14.848 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
14.848 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
14.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
14.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
14.848 * [taylor]: Taking taylor expansion of 1/3 in im
14.848 * [backup-simplify]: Simplify 1/3 into 1/3
14.848 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
14.848 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
14.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
14.849 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
14.849 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.849 * [taylor]: Taking taylor expansion of -1 in im
14.849 * [backup-simplify]: Simplify -1 into -1
14.849 * [taylor]: Taking taylor expansion of re in im
14.849 * [backup-simplify]: Simplify re into re
14.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.849 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.849 * [taylor]: Taking taylor expansion of -1 in im
14.849 * [backup-simplify]: Simplify -1 into -1
14.849 * [taylor]: Taking taylor expansion of re in im
14.849 * [backup-simplify]: Simplify re into re
14.849 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.849 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
14.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.849 * [taylor]: Taking taylor expansion of -1 in im
14.849 * [backup-simplify]: Simplify -1 into -1
14.849 * [taylor]: Taking taylor expansion of im in im
14.849 * [backup-simplify]: Simplify 0 into 0
14.849 * [backup-simplify]: Simplify 1 into 1
14.849 * [backup-simplify]: Simplify (/ -1 1) into -1
14.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.849 * [taylor]: Taking taylor expansion of -1 in im
14.849 * [backup-simplify]: Simplify -1 into -1
14.849 * [taylor]: Taking taylor expansion of im in im
14.850 * [backup-simplify]: Simplify 0 into 0
14.850 * [backup-simplify]: Simplify 1 into 1
14.850 * [backup-simplify]: Simplify (/ -1 1) into -1
14.850 * [backup-simplify]: Simplify (* -1 -1) into 1
14.850 * [backup-simplify]: Simplify (+ 0 1) into 1
14.851 * [backup-simplify]: Simplify (sqrt 1) into 1
14.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.852 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.852 * [backup-simplify]: Simplify (+ 0 0) into 0
14.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.853 * [backup-simplify]: Simplify (log 1) into 0
14.853 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.853 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
14.853 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
14.853 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
14.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.853 * [taylor]: Taking taylor expansion of 1/3 in re
14.853 * [backup-simplify]: Simplify 1/3 into 1/3
14.853 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.853 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.853 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.853 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.853 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.854 * [taylor]: Taking taylor expansion of -1 in re
14.854 * [backup-simplify]: Simplify -1 into -1
14.854 * [taylor]: Taking taylor expansion of re in re
14.854 * [backup-simplify]: Simplify 0 into 0
14.854 * [backup-simplify]: Simplify 1 into 1
14.854 * [backup-simplify]: Simplify (/ -1 1) into -1
14.854 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.854 * [taylor]: Taking taylor expansion of -1 in re
14.854 * [backup-simplify]: Simplify -1 into -1
14.854 * [taylor]: Taking taylor expansion of re in re
14.854 * [backup-simplify]: Simplify 0 into 0
14.854 * [backup-simplify]: Simplify 1 into 1
14.854 * [backup-simplify]: Simplify (/ -1 1) into -1
14.854 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.854 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.854 * [taylor]: Taking taylor expansion of -1 in re
14.854 * [backup-simplify]: Simplify -1 into -1
14.854 * [taylor]: Taking taylor expansion of im in re
14.854 * [backup-simplify]: Simplify im into im
14.854 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.854 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.854 * [taylor]: Taking taylor expansion of -1 in re
14.854 * [backup-simplify]: Simplify -1 into -1
14.854 * [taylor]: Taking taylor expansion of im in re
14.854 * [backup-simplify]: Simplify im into im
14.854 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.855 * [backup-simplify]: Simplify (* -1 -1) into 1
14.855 * [backup-simplify]: Simplify (+ 1 0) into 1
14.855 * [backup-simplify]: Simplify (sqrt 1) into 1
14.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.856 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.857 * [backup-simplify]: Simplify (+ 0 0) into 0
14.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.857 * [backup-simplify]: Simplify (log 1) into 0
14.858 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.858 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.858 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.858 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
14.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
14.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
14.858 * [taylor]: Taking taylor expansion of 1/3 in re
14.858 * [backup-simplify]: Simplify 1/3 into 1/3
14.858 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
14.858 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.858 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.858 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.858 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.858 * [taylor]: Taking taylor expansion of -1 in re
14.858 * [backup-simplify]: Simplify -1 into -1
14.858 * [taylor]: Taking taylor expansion of re in re
14.858 * [backup-simplify]: Simplify 0 into 0
14.858 * [backup-simplify]: Simplify 1 into 1
14.858 * [backup-simplify]: Simplify (/ -1 1) into -1
14.858 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.858 * [taylor]: Taking taylor expansion of -1 in re
14.858 * [backup-simplify]: Simplify -1 into -1
14.858 * [taylor]: Taking taylor expansion of re in re
14.859 * [backup-simplify]: Simplify 0 into 0
14.859 * [backup-simplify]: Simplify 1 into 1
14.859 * [backup-simplify]: Simplify (/ -1 1) into -1
14.859 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.859 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.859 * [taylor]: Taking taylor expansion of -1 in re
14.859 * [backup-simplify]: Simplify -1 into -1
14.859 * [taylor]: Taking taylor expansion of im in re
14.859 * [backup-simplify]: Simplify im into im
14.859 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.859 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.859 * [taylor]: Taking taylor expansion of -1 in re
14.859 * [backup-simplify]: Simplify -1 into -1
14.859 * [taylor]: Taking taylor expansion of im in re
14.859 * [backup-simplify]: Simplify im into im
14.859 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.859 * [backup-simplify]: Simplify (* -1 -1) into 1
14.860 * [backup-simplify]: Simplify (+ 1 0) into 1
14.860 * [backup-simplify]: Simplify (sqrt 1) into 1
14.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.861 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.861 * [backup-simplify]: Simplify (+ 0 0) into 0
14.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.862 * [backup-simplify]: Simplify (log 1) into 0
14.862 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.862 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
14.862 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.863 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
14.863 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
14.863 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
14.863 * [taylor]: Taking taylor expansion of -1/3 in im
14.863 * [backup-simplify]: Simplify -1/3 into -1/3
14.863 * [taylor]: Taking taylor expansion of (log re) in im
14.863 * [taylor]: Taking taylor expansion of re in im
14.863 * [backup-simplify]: Simplify re into re
14.863 * [backup-simplify]: Simplify (log re) into (log re)
14.863 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
14.863 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
14.863 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
14.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.864 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
14.865 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.865 * [taylor]: Taking taylor expansion of 0 in im
14.865 * [backup-simplify]: Simplify 0 into 0
14.865 * [backup-simplify]: Simplify 0 into 0
14.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.866 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
14.866 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
14.866 * [backup-simplify]: Simplify 0 into 0
14.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.868 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
14.870 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.871 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
14.871 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
14.871 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
14.871 * [taylor]: Taking taylor expansion of 1/6 in im
14.871 * [backup-simplify]: Simplify 1/6 into 1/6
14.871 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
14.871 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
14.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
14.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
14.871 * [taylor]: Taking taylor expansion of 1/3 in im
14.871 * [backup-simplify]: Simplify 1/3 into 1/3
14.871 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
14.871 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.872 * [taylor]: Taking taylor expansion of re in im
14.872 * [backup-simplify]: Simplify re into re
14.872 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.872 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
14.872 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
14.872 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
14.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
14.872 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.872 * [taylor]: Taking taylor expansion of im in im
14.872 * [backup-simplify]: Simplify 0 into 0
14.872 * [backup-simplify]: Simplify 1 into 1
14.872 * [backup-simplify]: Simplify (* 1 1) into 1
14.872 * [backup-simplify]: Simplify (/ 1 1) into 1
14.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
14.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
14.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
14.876 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
14.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
14.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
14.879 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.880 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
14.880 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
14.880 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
14.881 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
14.881 * [backup-simplify]: Simplify 0 into 0
14.882 * [backup-simplify]: Simplify 0 into 0
14.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.884 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
14.885 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.886 * [backup-simplify]: Simplify 0 into 0
14.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
14.889 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.889 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.889 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
14.889 * [backup-simplify]: Simplify (+ 0 0) into 0
14.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.894 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.894 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
14.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
14.897 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.897 * [taylor]: Taking taylor expansion of 0 in im
14.897 * [backup-simplify]: Simplify 0 into 0
14.898 * [backup-simplify]: Simplify 0 into 0
14.898 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
14.898 * * * [progress]: simplifying candidates
14.900 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (log1p (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (log (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (exp (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))))))
  (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (* (* (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))))) (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))) 3))
  (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) (* re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))))))
  (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))))
  (- re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im))))))
  (expm1 (pow (sqrt (cbrt (hypot re im))) 4))
  (log1p (pow (sqrt (cbrt (hypot re im))) 4))
  (* (log (sqrt (cbrt (hypot re im)))) 4)
  (* (log (sqrt (cbrt (hypot re im)))) 4)
  (* 1/2 4)
  (* 1 4)
  (* (/ 1/3 2) 4)
  (* (/ 1 2) 4)
  (pow (sqrt (cbrt (hypot re im))) (* (cbrt 4) (cbrt 4)))
  (pow (sqrt (cbrt (hypot re im))) (sqrt 4))
  (pow (sqrt (cbrt (hypot re im))) 1)
  (pow (* (cbrt (sqrt (cbrt (hypot re im)))) (cbrt (sqrt (cbrt (hypot re im))))) 4)
  (pow (cbrt (sqrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 4)
  (pow (sqrt (cbrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (cbrt 1)) 4)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (pow (sqrt (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) 4)
  (pow (sqrt (cbrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 4)
  (pow (sqrt 1) 4)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (sqrt (cbrt (hypot re im)))) 4)
  (pow 1 4)
  (pow (sqrt (cbrt (hypot re im))) 4)
  (log (pow (sqrt (cbrt (hypot re im))) 4))
  (exp (pow (sqrt (cbrt (hypot re im))) 4))
  (* (cbrt (pow (sqrt (cbrt (hypot re im))) 4)) (cbrt (pow (sqrt (cbrt (hypot re im))) 4)))
  (cbrt (pow (sqrt (cbrt (hypot re im))) 4))
  (* (* (pow (sqrt (cbrt (hypot re im))) 4) (pow (sqrt (cbrt (hypot re im))) 4)) (pow (sqrt (cbrt (hypot re im))) 4))
  (/ 4 2)
  (sqrt (pow (sqrt (cbrt (hypot re im))) 4))
  (sqrt (pow (sqrt (cbrt (hypot re im))) 4))
  (pow (sqrt (cbrt (hypot re im))) (/ 4 2))
  (pow (sqrt (cbrt (hypot re im))) (/ 4 2))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3))
  (pow (pow re 2) 1/3)
  (pow (pow re 2) 1/3)
  (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
14.903 * * [simplify]: Extracting # 0 : cost  0
14.903 * * [simplify]: Extracting # 1 : cost  0
14.904 * * [simplify]: Extracting # 2 : cost  0
14.904 * * [simplify]: Extracting # 3 : cost  0
14.904 * * [simplify]: Extracting # 4 : cost  0
14.904 * * [simplify]: Extracting # 5 : cost  0
14.905 * * [simplify]: Extracting # 6 : cost  0
14.905 * * [simplify]: Extracting # 7 : cost  0
14.905 * * [simplify]: Extracting # 8 : cost  0
14.906 * * [simplify]: Extracting # 9 : cost  0
14.906 * * [simplify]: Extracting # 10 : cost  0
14.906 * * [simplify]: Extracting # 11 : cost  0
14.907 * * [simplify]: iteration  0 :  122  enodes  (cost  1013 )
14.985 * * [simplify]: Extracting # 0 : cost  0
14.986 * * [simplify]: Extracting # 1 : cost  0
14.986 * * [simplify]: Extracting # 2 : cost  0
14.987 * * [simplify]: Extracting # 3 : cost  0
14.987 * * [simplify]: Extracting # 4 : cost  0
14.988 * * [simplify]: iteration  1 :  270  enodes  (cost  938 )
15.135 * * [simplify]: Extracting # 0 : cost  0
15.135 * * [simplify]: Extracting # 1 : cost  0
15.136 * * [simplify]: Extracting # 2 : cost  0
15.137 * * [simplify]: Extracting # 3 : cost  0
15.137 * * [simplify]: Extracting # 4 : cost  0
15.138 * * [simplify]: iteration  2 :  635  enodes  (cost  702 )
15.496 * * [simplify]: Extracting # 0 : cost  0
15.499 * * [simplify]: Extracting # 1 : cost  0
15.502 * * [simplify]: Extracting # 2 : cost  0
15.511 * * [simplify]: Extracting # 3 : cost  0
15.513 * * [simplify]: Extracting # 4 : cost  0
15.516 * * [simplify]: iteration  3 :  1450  enodes  (cost  550 )
16.635 * * [simplify]: Extracting # 0 : cost  0
16.643 * * [simplify]: Extracting # 1 : cost  0
16.648 * * [simplify]: Extracting # 2 : cost  0
16.653 * * [simplify]: Extracting # 3 : cost  0
16.658 * * [simplify]: Extracting # 4 : cost  0
16.667 * * [simplify]: iteration done:  5000  enodes  (cost  550 )
16.668 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma re re (* (- (hypot re im) re) (hypot re im)))
  (- (* re re) (pow (cbrt (hypot re im)) 6))
  (- re (hypot re im))
  (expm1 (pow (sqrt (cbrt (hypot re im))) 4))
  (log1p (pow (sqrt (cbrt (hypot re im))) 4))
  (* 2 (log (cbrt (hypot re im))))
  (* 2 (log (cbrt (hypot re im))))
  2
  4
  2/3
  2
  (pow (sqrt (cbrt (hypot re im))) (* (cbrt 4) (cbrt 4)))
  (cbrt (hypot re im))
  (sqrt (cbrt (hypot re im)))
  (pow (cbrt (sqrt (cbrt (hypot re im)))) 8)
  (pow (cbrt (sqrt (cbrt (hypot re im)))) 4)
  (pow (sqrt (cbrt (pow (sqrt (cbrt (hypot re im))) 4))) 4)
  (pow (fabs (cbrt (cbrt (hypot re im)))) 2)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)
  (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)
  1
  (pow (sqrt (cbrt (hypot re im))) 4)
  (pow (fabs (cbrt (cbrt (hypot re im)))) 4)
  (pow (fabs (cbrt (cbrt (hypot re im)))) 2)
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  1
  (pow (sqrt (cbrt (hypot re im))) 4)
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  1
  (pow (sqrt (cbrt (hypot re im))) 4)
  (* 2 (log (cbrt (hypot re im))))
  (exp (pow (sqrt (cbrt (hypot re im))) 4))
  (pow (sqrt (cbrt (pow (sqrt (cbrt (hypot re im))) 4))) 4)
  (cbrt (pow (sqrt (cbrt (hypot re im))) 4))
  (pow (cbrt (hypot re im)) 6)
  2
  (fabs (cbrt (hypot re im)))
  (fabs (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (pow (sqrt (cbrt (hypot re im))) 4))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (pow (fabs (cbrt (cbrt (hypot re im)))) 2)
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (pow (sqrt (cbrt (hypot re im))) 4))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (pow (fabs (cbrt (cbrt (hypot re im)))) 2)
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  (fma 1/3 (* (* re re) (cbrt (/ 1 (pow im 4)))) (pow im 2/3))
  (cbrt (pow re 2))
  (cbrt (pow re 2))
  (fma 1/6 (* (cbrt (/ 1 (pow im 5))) (* re re)) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (fma 1/6 (* (cbrt (/ 1 (pow im 5))) (* re re)) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
16.668 * * * [progress]: adding candidates to table
17.110 * [progress]: [Phase 3 of 3] Extracting.
17.110 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (/ (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 4) (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))>)
17.116 * * * [regime-changes]: Trying 2 branch expressions: (im re)
17.117 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (/ (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 4) (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))>)
17.170 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (/ (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (* (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 4) (pow (sqrt (cbrt (sqrt (hypot re im)))) 4)) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))>)
17.250 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
17.250 * [simplify]: Simplifying:
  (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
17.250 * * [simplify]: Extracting # 0 : cost  0
17.250 * * [simplify]: Extracting # 1 : cost  0
17.250 * * [simplify]: Extracting # 2 : cost  0
17.250 * * [simplify]: Extracting # 3 : cost  0
17.250 * * [simplify]: Extracting # 4 : cost  0
17.250 * * [simplify]: Extracting # 5 : cost  0
17.250 * * [simplify]: Extracting # 6 : cost  0
17.250 * * [simplify]: Extracting # 7 : cost  0
17.250 * * [simplify]: iteration  0 :  10  enodes  (cost  11 )
17.251 * * [simplify]: Extracting # 0 : cost  0
17.251 * * [simplify]: iteration  1 :  13  enodes  (cost  11 )
17.252 * * [simplify]: Extracting # 0 : cost  0
17.252 * * [simplify]: iteration done:  13  enodes  (cost  11 )
17.252 * [simplify]: Simplified to:
  (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
19.219 * [regime-testing]: Baseline error score: 13.701033353416799
19.219 * [regime-testing]: Oracle error score: 13.145493905931197
19.221 * [regime-testing]: End program error score: 13.701033353416799
19.283 * [regime-testing]: Target error score: 33.772357022689036